{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "Quora_question_pair_similarity_problem",
"version": "0.3.2",
"provenance": [],
"collapsed_sections": [],
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"accelerator": "GPU"
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
" Quora Question Pairs "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "o9fciGc7s5Vu",
"colab_type": "text"
},
"source": [
" 1. Business Problem "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "LRzmxjKxs5Vw",
"colab_type": "text"
},
"source": [
" 1.1 Description "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "1nlaIYe9s5Vx",
"colab_type": "text"
},
"source": [
"Quora is a place to gain and share knowledge—about anything. It’s a platform to ask questions and connect with people who contribute unique insights and quality answers. This empowers people to learn from each other and to better understand the world.
\n",
"\n",
"Over 100 million people visit Quora every month, so it's no surprise that many people ask similarly worded questions. Multiple questions with the same intent can cause seekers to spend more time finding the best answer to their question, and make writers feel they need to answer multiple versions of the same question. Quora values canonical questions because they provide a better experience to active seekers and writers, and offer more value to both of these groups in the long term.\n",
"
\n",
" 1.2 Sources/Useful Links "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "7YIjqVPgs5V4",
"colab_type": "text"
},
"source": [
"- Source : https://www.kaggle.com/c/quora-question-pairs\n",
"1.3 Real world/Business Objectives and Constraints "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Hv6fd7txs5V7",
"colab_type": "text"
},
"source": [
"1. The cost of a mis-classification can be very high.\n",
"2. You would want a probability of a pair of questions to be duplicates so that you can choose any threshold of choice.\n",
"3. No strict latency concerns.\n",
"4. Interpretability is partially important."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "VIam5Aaks5V9",
"colab_type": "text"
},
"source": [
"2. Machine Learning Probelm "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "jnty9Bhls5V-",
"colab_type": "text"
},
"source": [
" 2.1 Data "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "rty1PZv3s5V_",
"colab_type": "text"
},
"source": [
" 2.1.1 Data Overview "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "-gu8pAt3s5WB",
"colab_type": "text"
},
"source": [
" \n",
"- Data will be in a file Train.csv
"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "v9grbSNds5WC",
"colab_type": "text"
},
"source": [
" 2.1.2 Example Data point "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "9WEQ-lSxs5WE",
"colab_type": "text"
},
"source": [
"\n",
"\"id\",\"qid1\",\"qid2\",\"question1\",\"question2\",\"is_duplicate\"\n",
"\"0\",\"1\",\"2\",\"What is the step by step guide to invest in share market in india?\",\"What is the step by step guide to invest in share market?\",\"0\"\n",
"\"1\",\"3\",\"4\",\"What is the story of Kohinoor (Koh-i-Noor) Diamond?\",\"What would happen if the Indian government stole the Kohinoor (Koh-i-Noor) diamond back?\",\"0\"\n",
"\"7\",\"15\",\"16\",\"How can I be a good geologist?\",\"What should I do to be a great geologist?\",\"1\"\n",
"\"11\",\"23\",\"24\",\"How do I read and find my YouTube comments?\",\"How can I see all my Youtube comments?\",\"1\"\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "9qPVfeEjs5WF",
"colab_type": "text"
},
"source": [
" 2.2 Mapping the real world problem to an ML problem "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "JfBn0LYPs5WI",
"colab_type": "text"
},
"source": [
" 2.2.1 Type of Machine Leaning Problem "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "QEqiUD_Ps5WJ",
"colab_type": "text"
},
"source": [
" It is a binary classification problem, for a given pair of questions we need to predict if they are duplicate or not.
"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "keZOL1las5WL",
"colab_type": "text"
},
"source": [
" 2.2.2 Performance Metric "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "YHktaBrMs5WN",
"colab_type": "text"
},
"source": [
"Source: https://www.kaggle.com/c/quora-question-pairs#evaluation\n",
"\n",
"Metric(s): \n",
"* log-loss : https://www.kaggle.com/wiki/LogarithmicLoss\n",
"* Binary Confusion Matrix"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "cW_MVIlps5WQ",
"colab_type": "text"
},
"source": [
"3. Exploratory Data Analysis "
]
},
{
"cell_type": "code",
"metadata": {
"id": "5jLdGqJKqlox",
"colab_type": "code",
"outputId": "b3435f02-683b-4dfd-d0dd-c1e0c6ac73ab",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 170
}
},
"source": [
"!pip install distance"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Collecting distance\n",
"\u001b[?25l Downloading https://files.pythonhosted.org/packages/5c/1a/883e47df323437aefa0d0a92ccfb38895d9416bd0b56262c2e46a47767b8/Distance-0.1.3.tar.gz (180kB)\n",
"\u001b[K |████████████████████████████████| 184kB 2.9MB/s \n",
"\u001b[?25hBuilding wheels for collected packages: distance\n",
" Building wheel for distance (setup.py) ... \u001b[?25l\u001b[?25hdone\n",
" Stored in directory: /root/.cache/pip/wheels/d5/aa/e1/dbba9e7b6d397d645d0f12db1c66dbae9c5442b39b001db18e\n",
"Successfully built distance\n",
"Installing collected packages: distance\n",
"Successfully installed distance-0.1.3\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "sNzZdmBJs5WS",
"colab_type": "code",
"outputId": "cc5072b0-e1b2-46ed-f144-63cedfcf491d",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 17
}
},
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import seaborn as sns\n",
"import matplotlib.pyplot as plt\n",
"from subprocess import check_output\n",
"%matplotlib inline\n",
"import plotly.offline as py\n",
"py.init_notebook_mode(connected=True)\n",
"import plotly.graph_objs as go\n",
"import plotly.tools as tls\n",
"import os\n",
"import gc\n",
"\n",
"import re\n",
"from nltk.corpus import stopwords\n",
"import distance\n",
"from nltk.stem import PorterStemmer\n",
"from bs4 import BeautifulSoup"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/vnd.plotly.v1+html": "",
"text/html": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "UKczHlyBidAo",
"colab_type": "code",
"outputId": "7c2aa8ef-c333-4c31-cf5c-2c7901ed507c",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 122
}
},
"source": [
"from google.colab import drive\n",
"drive.mount('/content/drive')"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Go to this URL in a browser: https://accounts.google.com/o/oauth2/auth?client_id=947318989803-6bn6qk8qdgf4n4g3pfee6491hc0brc4i.apps.googleusercontent.com&redirect_uri=urn%3Aietf%3Awg%3Aoauth%3A2.0%3Aoob&scope=email%20https%3A%2F%2Fwww.googleapis.com%2Fauth%2Fdocs.test%20https%3A%2F%2Fwww.googleapis.com%2Fauth%2Fdrive%20https%3A%2F%2Fwww.googleapis.com%2Fauth%2Fdrive.photos.readonly%20https%3A%2F%2Fwww.googleapis.com%2Fauth%2Fpeopleapi.readonly&response_type=code\n",
"\n",
"Enter your authorization code:\n",
"··········\n",
"Mounted at /content/drive\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "__T8jddGs5Wc",
"colab_type": "text"
},
"source": [
" 3.1 Reading data and basic stats "
]
},
{
"cell_type": "code",
"metadata": {
"id": "89D31DboqvAZ",
"colab_type": "code",
"outputId": "e1223cae-f965-4d69-d1e3-b0c711ff055e",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"source": [
"!ls"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"drive sample_data\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "ifM_s9rvs5Wd",
"colab_type": "code",
"outputId": "9d187ec5-941a-4ea6-dda4-87a60b168d64",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"source": [
"df = pd.read_csv(\"drive/My Drive/Quora/train.csv\",nrows = 100000)\n",
"\n",
"print(\"Number of data points:\",df.shape[0])"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Number of data points: 100000\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "ClGZ555lrGZO",
"colab_type": "code",
"outputId": "a055ae73-cd86-4ead-d79b-d404bb7e4acd",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 204
}
},
"source": [
"df.head()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" id \n",
" qid1 \n",
" qid2 \n",
" question1 \n",
" question2 \n",
" is_duplicate \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 0 \n",
" 1 \n",
" 2 \n",
" What is the step by step guide to invest in sh... \n",
" What is the step by step guide to invest in sh... \n",
" 0 \n",
" \n",
" \n",
" 1 \n",
" 1 \n",
" 3 \n",
" 4 \n",
" What is the story of Kohinoor (Koh-i-Noor) Dia... \n",
" What would happen if the Indian government sto... \n",
" 0 \n",
" \n",
" \n",
" 2 \n",
" 2 \n",
" 5 \n",
" 6 \n",
" How can I increase the speed of my internet co... \n",
" How can Internet speed be increased by hacking... \n",
" 0 \n",
" \n",
" \n",
" 3 \n",
" 3 \n",
" 7 \n",
" 8 \n",
" Why am I mentally very lonely? How can I solve... \n",
" Find the remainder when [math]23^{24}[/math] i... \n",
" 0 \n",
" \n",
" \n",
" 4 \n",
" 4 \n",
" 9 \n",
" 10 \n",
" Which one dissolve in water quikly sugar, salt... \n",
" Which fish would survive in salt water? \n",
" 0 \n",
" \n",
" \n",
"
\n",
"
\n",
"RangeIndex: 100000 entries, 0 to 99999\n",
"Data columns (total 6 columns):\n",
"id 100000 non-null int64\n",
"qid1 100000 non-null int64\n",
"qid2 100000 non-null int64\n",
"question1 100000 non-null object\n",
"question2 100000 non-null object\n",
"is_duplicate 100000 non-null int64\n",
"dtypes: int64(4), object(2)\n",
"memory usage: 4.6+ MB\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "9G-4s_ksr0pQ",
"colab_type": "text"
},
"source": [
"We are given a minimal number of data fields here, consisting of:\n",
"\n",
"- id: Looks like a simple rowID\n",
"- qid{1, 2}: The unique ID of each question in the pair\n",
"- question{1, 2}: The actual textual contents of the questions.\n",
"- is_duplicate: The label that we are trying to predict - whether the two questions are duplicates of each other."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "acUdeyUdr8TS",
"colab_type": "text"
},
"source": [
" 3.2.1 Distribution of data points among output classes \n",
"- Number of duplicate(smilar) and non-duplicate(non similar) questions"
]
},
{
"cell_type": "code",
"metadata": {
"id": "HImRRQukrqmW",
"colab_type": "code",
"outputId": "60b8c5c1-af78-41e4-9879-0df886031710",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 297
}
},
"source": [
"df.groupby(\"is_duplicate\")['id'].count().plot.bar()\n",
"\n"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
""
]
},
"metadata": {
"tags": []
},
"execution_count": 7
},
{
"output_type": "display_data",
"data": {
"image/png": 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O24EjdxxtBO4aqm9ody2tAZ5vp592AmuTnNUuRK8FdraxF5KsaXcpbRjalyRpTBbONiHJ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\nhoMkqWM4SJI6/w8oDVkmyI90FgAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "-usI2K2bs5W4",
"colab_type": "code",
"outputId": "16334a0b-7007-474d-cf75-9cdb410b8ea9",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 51
}
},
"source": [
"print('~> Total number of question pairs for training:\\n {}'.format(len(df)))"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"~> Total number of question pairs for training:\n",
" 100000\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "YiPia6Pjs5W_",
"colab_type": "code",
"outputId": "5367bc1d-8b61-4ba6-abbc-e247af200428",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 102
}
},
"source": [
"print('~> Question pairs are not Similar (is_duplicate = 0):\\n {}%'.format(100 - round(df['is_duplicate'].mean()*100, 2)))\n",
"print('\\n~> Question pairs are Similar (is_duplicate = 1):\\n {}%'.format(round(df['is_duplicate'].mean()*100, 2)))"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"~> Question pairs are not Similar (is_duplicate = 0):\n",
" 62.75%\n",
"\n",
"~> Question pairs are Similar (is_duplicate = 1):\n",
" 37.25%\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "wGX03QVRs5XF",
"colab_type": "text"
},
"source": [
" 3.2.2 Number of unique questions "
]
},
{
"cell_type": "code",
"metadata": {
"id": "VOKa6aU2s5XG",
"colab_type": "code",
"outputId": "354c6aee-ff54-415d-d84f-2183051d2852",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 119
}
},
"source": [
"qids = pd.Series(df['qid1'].tolist() + df['qid2'].tolist())\n",
"unique_qs = len(np.unique(qids))\n",
"qs_morethan_onetime = np.sum(qids.value_counts() > 1)\n",
"print ('Total number of Unique Questions are: {}\\n'.format(unique_qs))\n",
"#print len(np.unique(qids))\n",
"\n",
"print ('Number of unique questions that appear more than one time: {} ({}%)\\n'.format(qs_morethan_onetime,qs_morethan_onetime/unique_qs*100))\n",
"\n",
"print ('Max number of times a single question is repeated: {}\\n'.format(max(qids.value_counts()))) \n",
"\n",
"q_vals=qids.value_counts()\n",
"\n",
"q_vals=q_vals.values"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Total number of Unique Questions are: 165931\n",
"\n",
"Number of unique questions that appear more than one time: 19446 (11.719329118730075%)\n",
"\n",
"Max number of times a single question is repeated: 32\n",
"\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "plcvbd4Cs5XM",
"colab_type": "code",
"outputId": "9c4930e4-adde-41f5-cee8-18e2a650f698",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 391
}
},
"source": [
"\n",
"x = [\"unique_questions\" , \"Repeated Questions\"]\n",
"y = [unique_qs , qs_morethan_onetime]\n",
"\n",
"plt.figure(figsize=(10, 6))\n",
"plt.title (\"Plot representing unique and repeated questions \")\n",
"sns.barplot(x,y)\n",
"plt.show()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "G-CwGaMms5XS",
"colab_type": "text"
},
"source": [
"3.2.3 Checking for Duplicates "
]
},
{
"cell_type": "code",
"metadata": {
"id": "YCiDBHm5s5XT",
"colab_type": "code",
"outputId": "70499083-ecac-434c-9fad-ad7bfaae44f1",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"source": [
"#checking whether there are any repeated pair of questions\n",
"\n",
"pair_duplicates = df[['qid1','qid2','is_duplicate']].groupby(['qid1','qid2']).count().reset_index()\n",
"\n",
"print (\"Number of duplicate questions\",(pair_duplicates).shape[0] - df.shape[0])"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Number of duplicate questions 0\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "iaHTnnt8s5XX",
"colab_type": "text"
},
"source": [
" 3.2.4 Number of occurrences of each question "
]
},
{
"cell_type": "code",
"metadata": {
"id": "dPZwk-C8s5Xa",
"colab_type": "code",
"outputId": "2cf464a4-e6fc-43be-eb04-fa6c011260ed",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 655
}
},
"source": [
"plt.figure(figsize=(20, 10))\n",
"\n",
"plt.hist(qids.value_counts(), bins=10)\n",
"\n",
"plt.yscale('log', nonposy='clip')\n",
"\n",
"plt.title('Log-Histogram of question appearance counts')\n",
"\n",
"plt.xlabel('Number of occurences of question')\n",
"\n",
"plt.ylabel('Number of questions')\n",
"\n",
"print ('Maximum number of times a single question is repeated: {}\\n'.format(max(qids.value_counts()))) "
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Maximum number of times a single question is repeated: 32\n",
"\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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GSiUAAAAABtu0VKqqt8z+fcHhi7OYqtpdVXvX19fHjgIAAACwI201UumOVXX/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\nkiRJkiQN7P8Ag1T3xqSyyXMAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "h_WdYxlYs5Xj",
"colab_type": "text"
},
"source": [
" 3.2.5 Checking for NULL values "
]
},
{
"cell_type": "code",
"metadata": {
"id": "r0x1gR2fs5Xk",
"colab_type": "code",
"outputId": "22fc1c09-e5d3-413a-9506-707f88460064",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 68
}
},
"source": [
"#Checking whether there are any rows with null values\n",
"nan_rows = df[df.isnull().any(1)]\n",
"print (nan_rows)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Empty DataFrame\n",
"Columns: [id, qid1, qid2, question1, question2, is_duplicate]\n",
"Index: []\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "CCYmufv6s5Xo",
"colab_type": "text"
},
"source": [
"- There are no null values"
]
},
{
"cell_type": "code",
"metadata": {
"id": "yLBRyACgs5Xp",
"colab_type": "code",
"colab": {}
},
"source": [
"# # Filling the null values with ' '\n",
"# df = df.fillna('')\n",
"# nan_rows = df[df.isnull().any(1)]\n",
"# print (nan_rows)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "HGYVHXjUvlzh",
"colab_type": "code",
"colab": {}
},
"source": [
"y_true = df['is_duplicate'].values\n",
"# df.drop(['is_duplicate'],axis=1,inplace = True)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "vTwUwbj3xtBq",
"colab_type": "code",
"outputId": "0fa6d7fc-fd0d-423d-d3d6-c2831c82204f",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"source": [
"df.shape"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(100000, 6)"
]
},
"metadata": {
"tags": []
},
"execution_count": 47
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "JXcgLNzlxvSb",
"colab_type": "code",
"outputId": "368a9736-9a30-4539-cfcb-88e49467f9f6",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"source": [
"y_true.shape"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(100000,)"
]
},
"metadata": {
"tags": []
},
"execution_count": 48
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "3Rat2obGtASP",
"colab_type": "code",
"colab": {}
},
"source": [
"# train test split\n",
"from sklearn.model_selection import train_test_split\n",
"X_train, X_test, y_train, y_test = train_test_split(df, y_true, test_size=0.33, stratify=y_true)\n",
"X_train, X_cv, y_train, y_cv = train_test_split(X_train, y_train, test_size=0.33, stratify=y_train)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "1Iw9zCHqtASS",
"colab_type": "code",
"outputId": "40a80068-1174-40be-8032-f580dccb7205",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 68
}
},
"source": [
"print(\"Number of data points in train data :\",X_train.shape)\n",
"print(\"Number of data points in cross-val data :\",X_cv.shape)\n",
"print(\"Number of data points in test data :\",X_test.shape)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Number of data points in train data : (44890, 5)\n",
"Number of data points in cross-val data : (22110, 5)\n",
"Number of data points in test data : (33000, 5)\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "l9Qcl5xfs5Xs",
"colab_type": "text"
},
"source": [
"3.3 Basic Feature Extraction (before cleaning) "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "RRzvPYzGs5Xu",
"colab_type": "text"
},
"source": [
"Let us now construct a few features like:\n",
" - ____freq_qid1____ = Frequency of qid1's\n",
" - ____freq_qid2____ = Frequency of qid2's \n",
" - ____q1len____ = Length of q1\n",
" - ____q2len____ = Length of q2\n",
" - ____q1_n_words____ = Number of words in Question 1\n",
" - ____q2_n_words____ = Number of words in Question 2\n",
" - ____word_Common____ = (Number of common unique words in Question 1 and Question 2)\n",
" - ____word_Total____ =(Total num of words in Question 1 + Total num of words in Question 2)\n",
" - ____word_share____ = (word_common)/(word_Total)\n",
" - ____freq_q1+freq_q2____ = sum total of frequency of qid1 and qid2 \n",
" - ____freq_q1-freq_q2____ = absolute difference of frequency of qid1 and qid2 "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "1mlA34CZydeD",
"colab_type": "text"
},
"source": [
"### Basic Feature Extraction for train set"
]
},
{
"cell_type": "code",
"metadata": {
"id": "Iq4DZ-rYs5Xv",
"colab_type": "code",
"outputId": "35762500-0b69-4c71-eafb-edbc785815fc",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 598
}
},
"source": [
"if os.path.isfile('drive/My Drive/Quora_assigment/X_train_fe_without_preprocessing.csv'):\n",
" X_train = pd.read_csv(\"drive/My Drive/Quora_assigment/X_train_fe_without_preprocessing.csv\",encoding='latin-1')\n",
"else:\n",
" X_train['freq_qid1'] = X_train.groupby('qid1')['qid1'].transform('count') \n",
" X_train['freq_qid2'] = X_train.groupby('qid2')['qid2'].transform('count')\n",
" X_train['q1len'] = X_train['question1'].str.len() \n",
" X_train['q2len'] = X_train['question2'].str.len()\n",
" X_train['q1_n_words'] = X_train['question1'].apply(lambda row: len(row.split(\" \")))\n",
" X_train['q2_n_words'] = X_train['question2'].apply(lambda row: len(row.split(\" \")))\n",
"\n",
" def normalized_word_Common(row):\n",
" w1 = set(map(lambda word: word.lower().strip(), row['question1'].split(\" \")))\n",
" w2 = set(map(lambda word: word.lower().strip(), row['question2'].split(\" \"))) \n",
" return 1.0 * len(w1 & w2)\n",
" X_train['word_Common'] = X_train.apply(normalized_word_Common, axis=1)\n",
"\n",
" def normalized_word_Total(row):\n",
" w1 = set(map(lambda word: word.lower().strip(), row['question1'].split(\" \")))\n",
" w2 = set(map(lambda word: word.lower().strip(), row['question2'].split(\" \"))) \n",
" return 1.0 * (len(w1) + len(w2))\n",
" X_train['word_Total'] = X_train.apply(normalized_word_Total, axis=1)\n",
"\n",
" def normalized_word_share(row):\n",
" w1 = set(map(lambda word: word.lower().strip(), row['question1'].split(\" \")))\n",
" w2 = set(map(lambda word: word.lower().strip(), row['question2'].split(\" \"))) \n",
" return 1.0 * len(w1 & w2)/(len(w1) + len(w2))\n",
" X_train['word_share'] = X_train.apply(normalized_word_share, axis=1)\n",
"\n",
" X_train['freq_q1+q2'] = X_train['freq_qid1']+X_train['freq_qid2']\n",
" X_train['freq_q1-q2'] = abs(X_train['freq_qid1']-X_train['freq_qid2'])\n",
"\n",
" X_train.to_csv(\"drive/My Drive/Quora_assignment/X_train_fe_without_preprocessing_train.csv\", index=False)\n",
"\n",
"X_train.head()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" id \n",
" qid1 \n",
" qid2 \n",
" question1 \n",
" question2 \n",
" is_duplicate \n",
" freq_qid1 \n",
" freq_qid2 \n",
" q1len \n",
" q2len \n",
" q1_n_words \n",
" q2_n_words \n",
" word_Common \n",
" word_Total \n",
" word_share \n",
" freq_q1+q2 \n",
" freq_q1-q2 \n",
" \n",
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" How was Amazon search in its initial stages? \n",
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" qid1 \n",
" qid2 \n",
" question1 \n",
" question2 \n",
" is_duplicate \n",
" freq_qid1 \n",
" freq_qid2 \n",
" q1len \n",
" q2len \n",
" q1_n_words \n",
" q2_n_words \n",
" word_Common \n",
" word_Total \n",
" word_share \n",
" freq_q1+q2 \n",
" freq_q1-q2 \n",
" \n",
" \n",
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" 2 \n",
" 0 \n",
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" 36802 \n",
" 67067 \n",
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" 2 \n",
" 0 \n",
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" 140697 \n",
" 140698 \n",
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" What was your intermittent fasting experience? \n",
" 0 \n",
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" 46 \n",
" 4 \n",
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\n",
" \n",
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" id \n",
" qid1 \n",
" qid2 \n",
" question1 \n",
" question2 \n",
" is_duplicate \n",
" freq_qid1 \n",
" freq_qid2 \n",
" q1len \n",
" q2len \n",
" q1_n_words \n",
" q2_n_words \n",
" word_Common \n",
" word_Total \n",
" word_share \n",
" freq_q1+q2 \n",
" freq_q1-q2 \n",
" \n",
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" Which phone has the best camera? \n",
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" 1 \n",
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" 2 \n",
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" 63488 \n",
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" How can I identify phishing Emails? \n",
" 1 \n",
" 1 \n",
" 1 \n",
" 81 \n",
" 35 \n",
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" 1 \n",
" 1 \n",
" 1 \n",
" 66 \n",
" 65 \n",
" 9 \n",
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\n",
"
3.3.1 Analysis of some of the extracted features "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "zRIFQTkCs5X3",
"colab_type": "text"
},
"source": [
"- Here are some questions have only one single words."
]
},
{
"cell_type": "code",
"metadata": {
"id": "jSS0X82Ds5X5",
"colab_type": "code",
"outputId": "673c61c8-861c-4f90-da4b-898815f8288b",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 85
}
},
"source": [
"print (\"Minimum length of the questions in question1 : \" , min(X_train['q1_n_words']))\n",
"\n",
"print (\"Minimum length of the questions in question2 : \" , min(X_train['q2_n_words']))\n",
"\n",
"print (\"Number of Questions with minimum length [question1] :\", X_train[X_train['q1_n_words']== 1].shape[0])\n",
"print (\"Number of Questions with minimum length [question2] :\", X_train[X_train['q2_n_words']== 1].shape[0])"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Minimum length of the questions in question1 : 1\n",
"Minimum length of the questions in question2 : 1\n",
"Number of Questions with minimum length [question1] : 6\n",
"Number of Questions with minimum length [question2] : 3\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"outputId": "b557b165-ae99-451b-c35c-47fb78cfbad4",
"id": "GWEbRTRJ4_wJ",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 85
}
},
"source": [
"print (\"Minimum length of the questions in question1 : \" , min(X_cv['q1_n_words']))\n",
"\n",
"print (\"Minimum length of the questions in question2 : \" , min(X_cv['q2_n_words']))\n",
"\n",
"print (\"Number of Questions with minimum length [question1] :\", X_cv[X_cv['q1_n_words']== 1].shape[0])\n",
"print (\"Number of Questions with minimum length [question2] :\", X_cv[X_cv['q2_n_words']== 2].shape[0])"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Minimum length of the questions in question1 : 1\n",
"Minimum length of the questions in question2 : 2\n",
"Number of Questions with minimum length [question1] : 6\n",
"Number of Questions with minimum length [question2] : 4\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"outputId": "fb018fa3-cb1e-4166-db63-4510b9e59b1f",
"id": "qUo6l66Y5AOq",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 85
}
},
"source": [
"print (\"Minimum length of the questions in question1 : \" , min(X_test['q1_n_words']))\n",
"\n",
"print (\"Minimum length of the questions in question2 : \" , min(X_test['q2_n_words']))\n",
"\n",
"print (\"Number of Questions with minimum length [question1] :\", X_test[X_test['q1_n_words']== 1].shape[0])\n",
"print (\"Number of Questions with minimum length [question2] :\", X_test[X_test['q2_n_words']== 1].shape[0])"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Minimum length of the questions in question1 : 1\n",
"Minimum length of the questions in question2 : 1\n",
"Number of Questions with minimum length [question1] : 3\n",
"Number of Questions with minimum length [question2] : 2\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "kFzTIHW3s5YB",
"colab_type": "text"
},
"source": [
" 3.3.1.1 Feature: word_share "
]
},
{
"cell_type": "code",
"metadata": {
"id": "s4rwGLFDs5YD",
"colab_type": "code",
"outputId": "521ba6fc-5456-4b8a-dbe5-d83fe313174f",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 501
}
},
"source": [
"plt.figure(figsize=(12, 8))\n",
"\n",
"plt.subplot(1,2,1)\n",
"sns.violinplot(x = 'is_duplicate', y = 'word_share', data = X_train)\n",
"\n",
"plt.subplot(1,2,2)\n",
"sns.distplot(X_train[X_train['is_duplicate'] == 1.0]['word_share'][0:] , label = \"1\", color = 'red')\n",
"sns.distplot(X_train[X_train['is_duplicate'] == 0.0]['word_share'][0:] , label = \"0\" , color = 'blue' )\n",
"plt.show()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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TNThpAb093dpbnaZ+//vfs3v3Hv7qzG6Kc93fmHgyN8zq47SSOD/9j59oG4iIiKQFlWqf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\nbKC6ulp2FI+WkpLC5ZdfwRclQdS1ee8K0fKiIFocGvPmzZM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UqDruuUeNU74gXW1ZmT5d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\n",
"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "RcwMI4xps5YJ",
"colab_type": "text"
},
"source": [
"- The distributions for normalized word_share have some overlap on the far right-hand side, i.e., there are quite a lot of questions with high word similarity\n",
"- The average word share and Common no. of words of qid1 and qid2 is more when they are duplicate(Similar)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "K0AbOS65s5YL",
"colab_type": "text"
},
"source": [
" 3.3.1.2 Feature: word_Common "
]
},
{
"cell_type": "code",
"metadata": {
"id": "_mCFvztcs5YM",
"colab_type": "code",
"outputId": "5f5e806b-f188-4612-f4d1-2fc90b10b5ce",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 501
}
},
"source": [
"plt.figure(figsize=(12, 8))\n",
"\n",
"plt.subplot(1,2,1)\n",
"sns.violinplot(x = 'is_duplicate', y = 'word_Common', data = X_train)\n",
"\n",
"plt.subplot(1,2,2)\n",
"sns.distplot(X_train[X_train['is_duplicate'] == 1.0]['word_Common'][0:] , label = \"1\", color = 'red')\n",
"sns.distplot(X_train[X_train['is_duplicate'] == 0.0]['word_Common'][0:] , label = \"0\" , color = 'blue' )\n",
"plt.show()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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AljatHVmQXjc/D8CsIUgDAKZSp4p0nFaka91aO7IDWaI2rR1h2P4DA5g5BGkAwFTKKtLr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\n",
"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "9r763jIis6G4",
"colab_type": "text"
},
"source": [
"### 3.3.5 : EDA: Advanced Feature Extraction.\n"
]
},
{
"cell_type": "code",
"metadata": {
"id": "QGb4elQFw0gs",
"colab_type": "code",
"outputId": "555523f8-addf-4e86-94cb-a1d8851b2f21",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 105
}
},
"source": [
"!pip install fuzzywuzzy"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Collecting fuzzywuzzy\n",
" Downloading https://files.pythonhosted.org/packages/d8/f1/5a267addb30ab7eaa1beab2b9323073815da4551076554ecc890a3595ec9/fuzzywuzzy-0.17.0-py2.py3-none-any.whl\n",
"Installing collected packages: fuzzywuzzy\n",
"Successfully installed fuzzywuzzy-0.17.0\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "omBYR9Pms6G6",
"colab_type": "code",
"outputId": "2f5b13f2-7458-4c93-d0eb-52121b0ac6d1",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 17
}
},
"source": [
"import warnings\n",
"warnings.filterwarnings(\"ignore\")\n",
"import numpy as np\n",
"import pandas as pd\n",
"import seaborn as sns\n",
"import matplotlib.pyplot as plt\n",
"from subprocess import check_output\n",
"%matplotlib inline\n",
"import plotly.offline as py\n",
"py.init_notebook_mode(connected=True)\n",
"import plotly.graph_objs as go\n",
"import plotly.tools as tls\n",
"import os\n",
"import gc\n",
"\n",
"import re\n",
"from nltk.corpus import stopwords\n",
"import distance\n",
"from nltk.stem import PorterStemmer\n",
"from bs4 import BeautifulSoup\n",
"import re\n",
"from nltk.corpus import stopwords\n",
"# This package is used for finding longest common subsequence between two strings\n",
"# you can write your own dp code for this\n",
"import distance\n",
"from nltk.stem import PorterStemmer\n",
"from bs4 import BeautifulSoup\n",
"from fuzzywuzzy import fuzz\n",
"from sklearn.manifold import TSNE\n",
"# Import the Required lib packages for WORD-Cloud generation\n",
"# https://stackoverflow.com/questions/45625434/how-to-install-wordcloud-in-python3-6\n",
"from wordcloud import WordCloud, STOPWORDS\n",
"from os import path\n",
"from PIL import Image"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/vnd.plotly.v1+html": "",
"text/html": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "FSq37fjBs6HE",
"colab_type": "code",
"colab": {}
},
"source": [
"# #https://stackoverflow.com/questions/12468179/unicodedecodeerror-utf8-codec-cant-decode-byte-0x9c\n",
"# if os.path.isfile('drive/My Drive/Quora_assignment/df_fe_without_preprocessing_train.csv'):\n",
"# df = pd.read_csv(\"drive/My Drive/Quora_assignment/df_fe_without_preprocessing_train.csv\",encoding='latin-1')\n",
"# df = df.fillna('')\n",
"# df.head()\n",
"# else:\n",
"# print(\"get df_fe_without_preprocessing_train.csv from drive or run the previous notebook\")"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "iL-KVVkYs6HM",
"colab_type": "code",
"outputId": "bec168f6-2f06-466f-8829-0fccc7dd4647",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 301
}
},
"source": [
"# df.head(2)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" id \n",
" qid1 \n",
" qid2 \n",
" question1 \n",
" question2 \n",
" is_duplicate \n",
" freq_qid1 \n",
" freq_qid2 \n",
" q1len \n",
" q2len \n",
" q1_n_words \n",
" q2_n_words \n",
" word_Common \n",
" word_Total \n",
" word_share \n",
" freq_q1+q2 \n",
" freq_q1-q2 \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 0 \n",
" 1 \n",
" 2 \n",
" What is the step by step guide to invest in sh... \n",
" What is the step by step guide to invest in sh... \n",
" 0 \n",
" 1 \n",
" 1 \n",
" 66 \n",
" 57 \n",
" 14 \n",
" 12 \n",
" 10.0 \n",
" 23.0 \n",
" 0.434783 \n",
" 2 \n",
" 0 \n",
" \n",
" \n",
" 1 \n",
" 1 \n",
" 3 \n",
" 4 \n",
" What is the story of Kohinoor (Koh-i-Noor) Dia... \n",
" What would happen if the Indian government sto... \n",
" 0 \n",
" 1 \n",
" 1 \n",
" 51 \n",
" 88 \n",
" 8 \n",
" 13 \n",
" 4.0 \n",
" 20.0 \n",
" 0.200000 \n",
" 2 \n",
" 0 \n",
" \n",
" \n",
"
\n",
"
3.4 Preprocessing of Text "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "P2_6a1Ils6HV",
"colab_type": "text"
},
"source": [
"- Preprocessing:\n",
" - Removing html tags \n",
" - Removing Punctuations\n",
" - Performing stemming\n",
" - Removing Stopwords\n",
" - Expanding contractions etc."
]
},
{
"cell_type": "code",
"metadata": {
"id": "jgE3QuLws6HW",
"colab_type": "code",
"outputId": "69151b68-1d51-4102-9e32-345165bd2f76",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 51
}
},
"source": [
"import nltk\n",
"nltk.download('stopwords')\n",
"# To get the results in 4 decemal points\n",
"SAFE_DIV = 0.0001 \n",
"\n",
"STOP_WORDS = stopwords.words(\"english\")\n",
"\n",
"\n",
"def preprocess(x):\n",
" x = str(x).lower()\n",
" x = x.replace(\",000,000\", \"m\").replace(\",000\", \"k\").replace(\"′\", \"'\").replace(\"’\", \"'\")\\\n",
" .replace(\"won't\", \"will not\").replace(\"cannot\", \"can not\").replace(\"can't\", \"can not\")\\\n",
" .replace(\"n't\", \" not\").replace(\"what's\", \"what is\").replace(\"it's\", \"it is\")\\\n",
" .replace(\"'ve\", \" have\").replace(\"i'm\", \"i am\").replace(\"'re\", \" are\")\\\n",
" .replace(\"he's\", \"he is\").replace(\"she's\", \"she is\").replace(\"'s\", \" own\")\\\n",
" .replace(\"%\", \" percent \").replace(\"₹\", \" rupee \").replace(\"$\", \" dollar \")\\\n",
" .replace(\"€\", \" euro \").replace(\"'ll\", \" will\")\n",
" x = re.sub(r\"([0-9]+)000000\", r\"\\1m\", x)\n",
" x = re.sub(r\"([0-9]+)000\", r\"\\1k\", x)\n",
" \n",
" \n",
" porter = PorterStemmer()\n",
" pattern = re.compile('\\W')\n",
" \n",
" if type(x) == type(''):\n",
" x = re.sub(pattern, ' ', x)\n",
" \n",
" \n",
" if type(x) == type(''):\n",
" x = porter.stem(x)\n",
" example1 = BeautifulSoup(x)\n",
" x = example1.get_text()\n",
" \n",
" \n",
" return x\n",
" "
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"[nltk_data] Downloading package stopwords to /root/nltk_data...\n",
"[nltk_data] Unzipping corpora/stopwords.zip.\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "LZ4FNZZns6Hc",
"colab_type": "text"
},
"source": [
"- Function to Compute and get the features : With 2 parameters of Question 1 and Question 2"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "FkzcDTs5s6He",
"colab_type": "text"
},
"source": [
"### 3.5 Advanced Feature Extraction (NLP and Fuzzy Features) "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "GSJiSSUEs6He",
"colab_type": "text"
},
"source": [
"Definition:\n",
"- __Token__: You get a token by splitting sentence a space\n",
"- __Stop_Word__ : stop words as per NLTK.\n",
"- __Word__ : A token that is not a stop_word\n",
"-\n",
"\n",
"Features:\n",
"- __cwc_min__ : Ratio of common_word_count to min lenghth of word count of Q1 and Q2 \n",
"\n",
"
\n",
" \n",
" \n",
" id \n",
" qid1 \n",
" qid2 \n",
" question1 \n",
" question2 \n",
" is_duplicate \n",
" freq_qid1 \n",
" freq_qid2 \n",
" q1len \n",
" q2len \n",
" q1_n_words \n",
" q2_n_words \n",
" word_Common \n",
" word_Total \n",
" word_share \n",
" freq_q1+q2 \n",
" freq_q1-q2 \n",
" cwc_min \n",
" cwc_max \n",
" csc_min \n",
" csc_max \n",
" ctc_min \n",
" ctc_max \n",
" last_word_eq \n",
" first_word_eq \n",
" abs_len_diff \n",
" mean_len \n",
" token_set_ratio \n",
" token_sort_ratio \n",
" fuzz_ratio \n",
" fuzz_partial_ratio \n",
" longest_substr_ratio \n",
" \n",
" \n",
" \n",
" \n",
" 38970 \n",
" 38970 \n",
" 70704 \n",
" 70705 \n",
" can you suggest me a good name that is related... \n",
" what are the precautions to be taken for const... \n",
" 0 \n",
" 1 \n",
" 1 \n",
" 73 \n",
" 69 \n",
" 15 \n",
" 12 \n",
" 0.0 \n",
" 27.0 \n",
" 0.000000 \n",
" 2 \n",
" 0 \n",
" 0.000000 \n",
" 0.000000 \n",
" 0.000000 \n",
" 0.00000 \n",
" 0.000000 \n",
" 0.000000 \n",
" 0.0 \n",
" 0.0 \n",
" 4.0 \n",
" 14.0 \n",
" 36 \n",
" 36 \n",
" 36 \n",
" 43 \n",
" 0.057143 \n",
" \n",
" \n",
" 99681 \n",
" 99681 \n",
" 165453 \n",
" 165454 \n",
" how do i know if i am a lesbian trapped in a m... \n",
" i am 15 and just came out to my dad as a lesbi... \n",
" 0 \n",
" 1 \n",
" 1 \n",
" 83 \n",
" 118 \n",
" 19 \n",
" 30 \n",
" 5.0 \n",
" 39.0 \n",
" 0.128205 \n",
" 2 \n",
" 0 \n",
" 0.142855 \n",
" 0.142855 \n",
" 0.454541 \n",
" 0.35714 \n",
" 0.299999 \n",
" 0.199999 \n",
" 0.0 \n",
" 0.0 \n",
" 10.0 \n",
" 25.0 \n",
" 43 \n",
" 49 \n",
" 35 \n",
" 42 \n",
" 0.127907 \n",
" \n",
" \n",
"
\n",
"
\n",
"\n",
"
\n",
" \n",
" \n",
" id \n",
" qid1 \n",
" qid2 \n",
" question1 \n",
" question2 \n",
" is_duplicate \n",
" freq_qid1 \n",
" freq_qid2 \n",
" q1len \n",
" q2len \n",
" q1_n_words \n",
" q2_n_words \n",
" word_Common \n",
" word_Total \n",
" word_share \n",
" freq_q1+q2 \n",
" freq_q1-q2 \n",
" cwc_min \n",
" cwc_max \n",
" csc_min \n",
" csc_max \n",
" ctc_min \n",
" ctc_max \n",
" last_word_eq \n",
" first_word_eq \n",
" abs_len_diff \n",
" mean_len \n",
" token_set_ratio \n",
" token_sort_ratio \n",
" fuzz_ratio \n",
" fuzz_partial_ratio \n",
" longest_substr_ratio \n",
" \n",
" \n",
" \n",
" \n",
" 60746 \n",
" 60746 \n",
" 106185 \n",
" 106186 \n",
" what are some of the innovative startups in in... \n",
" what are some of the new innovative startups i... \n",
" 0 \n",
" 1 \n",
" 1 \n",
" 50 \n",
" 54 \n",
" 9 \n",
" 10 \n",
" 9.0 \n",
" 19.0 \n",
" 0.473684 \n",
" 2 \n",
" 0 \n",
" 0.999967 \n",
" 0.749981 \n",
" 0.999983 \n",
" 0.999983 \n",
" 0.999989 \n",
" 0.899991 \n",
" 1.0 \n",
" 1.0 \n",
" 1.0 \n",
" 9.5 \n",
" 100 \n",
" 96 \n",
" 96 \n",
" 92 \n",
" 0.588235 \n",
" \n",
" \n",
" 36802 \n",
" 36802 \n",
" 67067 \n",
" 67068 \n",
" what are the tips and hacks for getting the cl... \n",
" what are the tips and hacks for getting the cl... \n",
" 0 \n",
" 1 \n",
" 1 \n",
" 97 \n",
" 94 \n",
" 19 \n",
" 19 \n",
" 17.0 \n",
" 36.0 \n",
" 0.472222 \n",
" 2 \n",
" 0 \n",
" 0.874989 \n",
" 0.874989 \n",
" 0.999990 \n",
" 0.999990 \n",
" 0.894732 \n",
" 0.894732 \n",
" 1.0 \n",
" 1.0 \n",
" 0.0 \n",
" 19.0 \n",
" 97 \n",
" 95 \n",
" 95 \n",
" 94 \n",
" 0.873684 \n",
" \n",
" \n",
"
\n",
"
\n",
"\n",
"
\n",
" \n",
" \n",
" id \n",
" qid1 \n",
" qid2 \n",
" question1 \n",
" question2 \n",
" is_duplicate \n",
" freq_qid1 \n",
" freq_qid2 \n",
" q1len \n",
" q2len \n",
" q1_n_words \n",
" q2_n_words \n",
" word_Common \n",
" word_Total \n",
" word_share \n",
" freq_q1+q2 \n",
" freq_q1-q2 \n",
" cwc_min \n",
" cwc_max \n",
" csc_min \n",
" csc_max \n",
" ctc_min \n",
" ctc_max \n",
" last_word_eq \n",
" first_word_eq \n",
" abs_len_diff \n",
" mean_len \n",
" token_set_ratio \n",
" token_sort_ratio \n",
" fuzz_ratio \n",
" fuzz_partial_ratio \n",
" longest_substr_ratio \n",
" \n",
" \n",
" \n",
" \n",
" 13403 \n",
" 13403 \n",
" 25742 \n",
" 20236 \n",
" smartphones what is the best phone camera at ... \n",
" which phone has the best camera \n",
" 1 \n",
" 1 \n",
" 2 \n",
" 57 \n",
" 32 \n",
" 10 \n",
" 6 \n",
" 3.0 \n",
" 15.0 \n",
" 0.200000 \n",
" 3 \n",
" 1 \n",
" 0.999967 \n",
" 0.599988 \n",
" 0.333322 \n",
" 0.249994 \n",
" 0.666656 \n",
" 0.399996 \n",
" 0 \n",
" 0 \n",
" 4 \n",
" 8.0 \n",
" 81 \n",
" 60 \n",
" 57 \n",
" 66 \n",
" 0.333333 \n",
" \n",
" \n",
" 21490 \n",
" 21490 \n",
" 40457 \n",
" 16040 \n",
" is the agricultural sector a failing one in in... \n",
" what are the problems in the agricultural sect... \n",
" 1 \n",
" 1 \n",
" 1 \n",
" 50 \n",
" 58 \n",
" 9 \n",
" 10 \n",
" 5.0 \n",
" 18.0 \n",
" 0.277778 \n",
" 2 \n",
" 0 \n",
" 0.749981 \n",
" 0.599988 \n",
" 0.499988 \n",
" 0.399992 \n",
" 0.555549 \n",
" 0.499995 \n",
" 1 \n",
" 0 \n",
" 1 \n",
" 9.5 \n",
" 79 \n",
" 68 \n",
" 62 \n",
" 79 \n",
" 0.490196 \n",
" \n",
" \n",
"
\n",
"
3.5.1 Analysis of extracted features "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "5vmUIhbhs6Ht",
"colab_type": "text"
},
"source": [
" 3.5.1.1 Plotting Word clouds "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "zqriH33Js6Hv",
"colab_type": "text"
},
"source": [
"- Creating Word Cloud of Duplicates and Non-Duplicates Question pairs\n",
"- We can observe the most frequent occuring words"
]
},
{
"cell_type": "code",
"metadata": {
"id": "M52XmYnNs6Hx",
"colab_type": "code",
"outputId": "a57785d7-8ef9-4fba-ab0e-bf5150f5a09c",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 51
}
},
"source": [
"X_train_duplicate = X_train[X_train['is_duplicate'] == 1]\n",
"X_train_nonduplicate = X_train[X_train['is_duplicate'] == 0]\n",
"\n",
"# Converting 2d array of q1 and q2 and flatten the array: like {{1,2},{3,4}} to {1,2,3,4}\n",
"p = np.dstack([X_train_duplicate[\"question1\"], X_train_duplicate[\"question2\"]]).flatten()\n",
"n = np.dstack([X_train_nonduplicate[\"question1\"], X_train_nonduplicate[\"question2\"]]).flatten()\n",
"\n",
"print (\"Number of data points in class 1 (duplicate pairs) :\",len(p))\n",
"print (\"Number of data points in class 0 (non duplicate pairs) :\",len(n))\n",
"\n",
"#Saving the np array into a text file\n",
"np.savetxt('drive/My Drive/Quora_assignment/train_p.txt', p, delimiter=' ', fmt='%s')\n",
"np.savetxt('drive/My Drive/Quora_assignment/train_n.txt', n, delimiter=' ', fmt='%s')"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Number of data points in class 1 (duplicate pairs) : 33446\n",
"Number of data points in class 0 (non duplicate pairs) : 56334\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "fzIwW2c6DeKh",
"colab_type": "code",
"outputId": "7fb4c54f-54b5-4198-96e9-8e57c4ec4147",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 51
}
},
"source": [
"X_cv_duplicate = X_cv[X_cv['is_duplicate'] == 1]\n",
"X_cv_nonduplicate = X_cv[X_cv['is_duplicate'] == 0]\n",
"\n",
"# Converting 2d array of q1 and q2 and flatten the array: like {{1,2},{3,4}} to {1,2,3,4}\n",
"p = np.dstack([X_cv_duplicate[\"question1\"], X_cv_duplicate[\"question2\"]]).flatten()\n",
"n = np.dstack([X_cv_nonduplicate[\"question1\"], X_cv_nonduplicate[\"question2\"]]).flatten()\n",
"\n",
"print (\"Number of data points in class 1 (duplicate pairs) :\",len(p))\n",
"print (\"Number of data points in class 0 (non duplicate pairs) :\",len(n))\n",
"\n",
"#Saving the np array into a text file\n",
"np.savetxt('drive/My Drive/Quora_assignment/cv_p.txt', p, delimiter=' ', fmt='%s')\n",
"np.savetxt('drive/My Drive/Quora_assignment/cv_n.txt', n, delimiter=' ', fmt='%s')"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Number of data points in class 1 (duplicate pairs) : 16474\n",
"Number of data points in class 0 (non duplicate pairs) : 27746\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "fPnUo6jhDdvo",
"colab_type": "code",
"outputId": "40c74389-840c-4e60-b9d8-caf7179e09ba",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 51
}
},
"source": [
"X_test_duplicate = X_test[X_test['is_duplicate'] == 1]\n",
"X_test_nonduplicate = X_test[X_test['is_duplicate'] == 0]\n",
"\n",
"# Converting 2d array of q1 and q2 and flatten the array: like {{1,2},{3,4}} to {1,2,3,4}\n",
"p = np.dstack([X_test_duplicate[\"question1\"], X_test_duplicate[\"question2\"]]).flatten()\n",
"n = np.dstack([X_test_nonduplicate[\"question1\"], X_test_nonduplicate[\"question2\"]]).flatten()\n",
"\n",
"print (\"Number of data points in class 1 (duplicate pairs) :\",len(p))\n",
"print (\"Number of data points in class 0 (non duplicate pairs) :\",len(n))\n",
"\n",
"#Saving the np array into a text file\n",
"np.savetxt('drive/My Drive/Quora_assignment/test_p.txt', p, delimiter=' ', fmt='%s')\n",
"np.savetxt('drive/My Drive/Quora_assignment/test_n.txt', n, delimiter=' ', fmt='%s')"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Number of data points in class 1 (duplicate pairs) : 24588\n",
"Number of data points in class 0 (non duplicate pairs) : 41412\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "9UyKrK_Gs6H6",
"colab_type": "code",
"outputId": "75106526-e929-46d2-e0ed-fa95454e3a18",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 51
}
},
"source": [
"# reading the text files and removing the Stop Words:\n",
"d = 'drive/My Drive/Quora_assignment/'\n",
"\n",
"textp_w = open(path.join(d, 'train_p.txt')).read()\n",
"textn_w = open(path.join(d, 'train_n.txt')).read()\n",
"stopwords = set(STOPWORDS)\n",
"stopwords.add(\"said\")\n",
"stopwords.add(\"br\")\n",
"stopwords.add(\" \")\n",
"stopwords.remove(\"not\")\n",
"\n",
"stopwords.remove(\"no\")\n",
"#stopwords.remove(\"good\")\n",
"#stopwords.remove(\"love\")\n",
"stopwords.remove(\"like\")\n",
"#stopwords.remove(\"best\")\n",
"#stopwords.remove(\"!\")\n",
"print (\"Total number of words in duplicate pair questions :\",len(textp_w))\n",
"print (\"Total number of words in non duplicate pair questions :\",len(textn_w))"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Total number of words in duplicate pair questions : 1804520\n",
"Total number of words in non duplicate pair questions : 3663966\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "73x5x-KBEn6r",
"colab_type": "code",
"outputId": "6f67cc26-1295-4bde-8d3a-42f1c02681a0",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 51
}
},
"source": [
"# reading the text files and removing the Stop Words:\n",
"d = 'drive/My Drive/Quora_assignment/'\n",
"\n",
"textp_w_cv = open(path.join(d, 'cv_p.txt')).read()\n",
"textn_w_cv = open(path.join(d, 'cv_n.txt')).read()\n",
"stopwords = set(STOPWORDS)\n",
"stopwords.add(\"said\")\n",
"stopwords.add(\"br\")\n",
"stopwords.add(\" \")\n",
"stopwords.remove(\"not\")\n",
"\n",
"stopwords.remove(\"no\")\n",
"#stopwords.remove(\"good\")\n",
"#stopwords.remove(\"love\")\n",
"stopwords.remove(\"like\")\n",
"#stopwords.remove(\"best\")\n",
"#stopwords.remove(\"!\")\n",
"print (\"Total number of words in duplicate pair questions :\",len(textp_w_cv))\n",
"print (\"Total number of words in non duplicate pair questions :\",len(textn_w_cv))"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Total number of words in duplicate pair questions : 884086\n",
"Total number of words in non duplicate pair questions : 1804102\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "mu6bMWVLErsp",
"colab_type": "code",
"outputId": "30ee24e1-e661-459c-baf0-cd8f10a8de12",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 51
}
},
"source": [
"# reading the text files and removing the Stop Words:\n",
"d = 'drive/My Drive/Quora_assignment/'\n",
"\n",
"textp_w_test = open(path.join(d, 'test_p.txt')).read()\n",
"textn_w_test = open(path.join(d, 'test_n.txt')).read()\n",
"stopwords = set(STOPWORDS)\n",
"stopwords.add(\"said\")\n",
"stopwords.add(\"br\")\n",
"stopwords.add(\" \")\n",
"stopwords.remove(\"not\")\n",
"\n",
"stopwords.remove(\"no\")\n",
"#stopwords.remove(\"good\")\n",
"#stopwords.remove(\"love\")\n",
"stopwords.remove(\"like\")\n",
"#stopwords.remove(\"best\")\n",
"#stopwords.remove(\"!\")\n",
"print (\"Total number of words in duplicate pair questions :\",len(textp_w_test))\n",
"print (\"Total number of words in non duplicate pair questions :\",len(textn_w_test))"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Total number of words in duplicate pair questions : 1333031\n",
"Total number of words in non duplicate pair questions : 2681939\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "J-KwlFXGFXgZ",
"colab_type": "text"
},
"source": [
"### WordCloud For Train Set"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "cGK1TbjKs6IB",
"colab_type": "text"
},
"source": [
"__ Word Clouds generated from duplicate pair question's text __"
]
},
{
"cell_type": "code",
"metadata": {
"id": "OsV93iiqs6ID",
"colab_type": "code",
"outputId": "28b405e8-230c-4e88-b1eb-d9b8ac40c50a",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 236
}
},
"source": [
"wc = WordCloud(background_color=\"white\", max_words=len(textp_w), stopwords=stopwords)\n",
"wc.generate(textp_w)\n",
"print (\"Word Cloud for Duplicate Question pairs\")\n",
"plt.imshow(wc, interpolation='bilinear')\n",
"plt.axis(\"off\")\n",
"plt.show()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Word Cloud for Duplicate Question pairs\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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6Pt3xGLa+Uoqer8wxVp1vC4CrCJE8nz/LZ4cfWvUAAWreNNO1Z5hvHKTsXuDE4u+iCJOo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oMAz/UQQiCtyu1u/HeacoQuI8eN2hWKToF8ax5DNug11yiQA5Fh/MBnvjmLhETTa9AXGVgXZJfs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\nJjICEREREfcw/x/P/aC15qEL6QAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "uOOsV5sRs6IJ",
"colab_type": "text"
},
"source": [
"__ Word Clouds generated from non duplicate pair question's text __"
]
},
{
"cell_type": "code",
"metadata": {
"id": "hww88GIYs6IK",
"colab_type": "code",
"outputId": "e7c27ba7-1424-4887-9af1-4d0df7cd032c",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 236
}
},
"source": [
"wc = WordCloud(background_color=\"white\", max_words=len(textn_w),stopwords=stopwords)\n",
"# generate word cloud\n",
"wc.generate(textn_w)\n",
"print (\"Word Cloud for non-Duplicate Question pairs:\")\n",
"plt.imshow(wc, interpolation='bilinear')\n",
"plt.axis(\"off\")\n",
"plt.show()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Word Cloud for non-Duplicate Question pairs:\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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fPUbA1NmytQNdv/qzdV2PN988QS5b4pMPbrzq/gtBezxJYzhGby6DKytk7CMp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\nXInZhRzjcxlOX53gWN8ww1Mp/vB3nloKAl0b3RPH2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9CrI0siZavEdHkMEZGIGudy7gzt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\nF8BNLuLdW+YAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "ofsO2u03FhSM"
},
"source": [
"### WordCloud For CV Set"
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"outputId": "548c1314-1acf-48c0-c7a0-cb029a7829c9",
"id": "vBeCBkorFT7G",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 236
}
},
"source": [
"wc = WordCloud(background_color=\"white\", max_words=len(textp_w), stopwords=stopwords)\n",
"wc.generate(textp_w_cv)\n",
"print (\"Word Cloud for Duplicate Question pairs\")\n",
"plt.imshow(wc, interpolation='bilinear')\n",
"plt.axis(\"off\")\n",
"plt.show()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Word Cloud for Duplicate Question pairs\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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2GSvmk7znVjtxt1kmbT/A0CR1z6cvkyZtmTx5YPK23ycM56BjPid+7TphtISu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\nSQtBYrqxTEo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+Y5SpxodMN8+zaE1R99ZwAhM/DJAEGUOKk1Jy5LU+evURBuL76dVHkbcp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\nSUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "NhblKKmoFT7S"
},
"source": [
"__ Word Clouds generated from non duplicate pair question's text __"
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"outputId": "cb8ed762-26ca-4e93-b842-051c60d5a05b",
"id": "nb24uwF4FT7T",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 236
}
},
"source": [
"wc = WordCloud(background_color=\"white\", max_words=len(textn_w),stopwords=stopwords)\n",
"# generate word cloud\n",
"wc.generate(textn_w_cv)\n",
"print (\"Word Cloud for non-Duplicate Question pairs:\")\n",
"plt.imshow(wc, interpolation='bilinear')\n",
"plt.axis(\"off\")\n",
"plt.show()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Word Cloud for non-Duplicate Question pairs:\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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eXnqjUVKFAqZlcXx4mAebliuVdwM/N0LA49ZW9XMqqryQjTubys1lqrLwdy5v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\n0FtIYFku/YUk0/Ml0skbJ24h/98LIAgcgsBD3Kb/tB9YsD4BUIRG1esgC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PEAACAASURB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VluwSE3SbWkTkyG1r4NxY1NwNHddlpdXg4lqRrGliKAoXS2tcWFsjFdG7HtZd8wCBT+BeAftV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\nDe5j/n/9zulEO/o7MwAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "D1YafKDeFl-b"
},
"source": [
"### WordCloud For Test Set"
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"outputId": "dd5040ed-daa8-42eb-f13c-e21ed53c20c4",
"id": "mSJ-oSFCFVfC",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 236
}
},
"source": [
"wc = WordCloud(background_color=\"white\", max_words=len(textp_w), stopwords=stopwords)\n",
"wc.generate(textp_w_test)\n",
"print (\"Word Cloud for Duplicate Question pairs\")\n",
"plt.imshow(wc, interpolation='bilinear')\n",
"plt.axis(\"off\")\n",
"plt.show()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Word Cloud for Duplicate Question pairs\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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ifcl97M7/NFmrHw2dRrjAmeq3OLr8OQ4vf5qkUaSYiH0OofQ4X3+Wc7WnsPUs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\n",
"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "L2PsLegvFVfO"
},
"source": [
"__ Word Clouds generated from non duplicate pair question's text __"
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"outputId": "13bb94a4-7f9d-4bd8-accf-a77c90dad663",
"id": "Ct3i5AK6FVfQ",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 236
}
},
"source": [
"wc = WordCloud(background_color=\"white\", max_words=len(textn_w),stopwords=stopwords)\n",
"# generate word cloud\n",
"wc.generate(textn_w_test)\n",
"print (\"Word Cloud for non-Duplicate Question pairs:\")\n",
"plt.imshow(wc, interpolation='bilinear')\n",
"plt.axis(\"off\")\n",
"plt.show()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Word Cloud for non-Duplicate Question pairs:\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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YhIsTVgYjBKXfBDm7rjqFeWiRCNh6nJuVi7RaPu1O34rnjKZ/98hkjvbMai5R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DI3k0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+K8/N+lzrvH1u1GZZdSv0WXcnlkgpOVe+TrNb6kpKNsoNKut1apUmAyMFhkb37il9P/jEBIGU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\nISAiUmIKARGRElMIiIiU2N/0igSupBDfbQAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "q-q3DpiPs6IP",
"colab_type": "text"
},
"source": [
" 3.5.1.2 Pair plot of features ['ctc_min', 'cwc_min', 'csc_min', 'token_sort_ratio'] "
]
},
{
"cell_type": "code",
"metadata": {
"id": "rOuxSDKts6IQ",
"colab_type": "code",
"outputId": "40cacc3e-9d73-4905-ed25-e220e7321b67",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 729
}
},
"source": [
"n = X_train.shape[0]\n",
"sns.pairplot(X_train[['ctc_min', 'cwc_min', 'csc_min', 'token_sort_ratio', 'is_duplicate']][0:n], hue='is_duplicate', vars=['ctc_min', 'cwc_min', 'csc_min', 'token_sort_ratio'])\n",
"plt.show()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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79Oet293vda5nVFFEdtzyD2yaVjd5MmJw51BHsuh0GDRSwjuK95VY+LJhEhpi\nkwCcOVMsuUZUaDnta570rCezDtg0qk6sq20mlug4hcotRAqgrjlGc8zAsCyCPo0+4QCqqrS2NwyD\nB84uZ/9iDeYvTNVAsHMR9ED6vcz0MIB8V5NLvs9fEy+svWhf8ah4KGylNfO77bV9b2Z2nwX92p6D\nGzake8My2/jyRBmww6OchRB9eVJHItezgCoKiKs3b/dUhDsTngKxu8BIiNVp/5O7dhyeB6JjsKsw\n2uSVulCszpa6DU5ogTZChOI5YsOTC1NVd9+vBSQ2XFGSf5pQEeZ6EU56VmJ3t6yDE3+Xihk/8QZ5\n0bU1Bg+iPFT/J/telx7UeUpER9Si8OWlqC2dIRVOznpo+xltK/9g1mj42X/c5cmOkrIXZHYOhFvo\nx5MXyaLMNCBUCIkgLPx/qeNzPRfq7rksyJV/4Nc7JqQrV4hUfkBjXW0z1zzxYdr2gSX5rKlp4PaX\nV3HXCUH6Pz9B5MV5z9YtE7kZdVP6dtvDkHlvdT9c8basB167WforGSTkKsseEANNtE5yKj57GSY+\nJQv4xhppf/QVUnvBDpOLlENen9znUzU51vaOubWJNwnL06zR6WFRDdXiQTNyzO+aX/Y5cyGc+5Xd\nU447Ez1opeFhh7DpM2E+6OqkTl+SNtPzQOwYcllSm2q6dlzbi+hm92TSaIZ85AwRiomVdcyMlMvd\nScE6bo4s7Cpmp++vmC2yuHG1WMiqP4GlD8o2N9d9S728WBVVFmazRkt41HHXSnJrW2PwIGhY736v\nG9Z33hjsWhRObG8tCiPu7qXKCLujqQY+eFwWZVctk88PHpft/nyRncXXpcuSP1/aKjnkyRk6F28S\n+Y5HZSFYNiwV+mHEZQFWs1qoiRMtYql1LvxyPhdtFALdhWHnH5QVhQBaF/K2l2BHkStEqiVhtSoP\nzu0b6qNcWrmMKUMLU0UH37pdFtjOe3b0FSmPk719+VyXe1spic2b/yshPqsXigfiaWGT44s3JAHf\niIs8lh4Ic86CB0dKu9ULRc7t0E97sb/4VyKXFZUZ55sjBpQVj0q7FY9mtxkzQxQQO/fHDos6brrs\nUzWpWO32LFimnDvUO3v/uLkpem4POw3e2213QXdIoAax9AYKPQ/EjmJXqerb3tCfttqZCUnWc1pz\nX70BznpAXoSTnoU1LwlXumWKEvDhPDjknBRfuf0yjDfDGfemJ/qdnUzi++cf4ZifS39Y4rF44xZJ\nSpy2IvcYPAi6Q5hXXol4ATK9Ankl7e/DjOe4jswKzoq71wxFlNH1HyXDlYzkYkeBmcdK22nL3eXp\nxN+lwknyesML18rCzmm5XbcYzbwcAAAgAElEQVRM5tmxlWJVrqsSCm+n8nHuo5K06vpcjIXw7lcA\n0Zl/sDNYmHKFSKkKrttbEibrapspzVPSPQ7/+D2MvJFEyUFoug+l9gsIRWTOsuXFiEtokR3yqflT\nc9XQyenyu26ZyNb5CyQETgtIfo2RQ84je4ncNtem5G3UTeKpGH1binxC1cRjdtRl4iU5/DyR2dPu\nkBoUqiYhdS9eI3KdeY5npsJJfxK2xgWXZT8LZ9wrst+4Qapgn79AniUtAJqG4uWf7XR0qgKhKMoo\n4O+ABjxgWdafM/aXAw8DkWSbX1iW9UJnjnGXxbcfiDUgWUSoSxEo8DwQOwrdL1R1GUWgOruq7w7T\nHm4rjMKOIVc19+u124Uz4tfDfSXcaOSN8n3/USL/9kvFXyhu/MyEwPHz4ZXr5bhwibyEn7xYLFxf\nvCHJgnPOkhdozarW4keWqqM0VIulzu06PMhvcdaDWcXTOvU36ohaFO29jkSLLMLsnAZVh63rZbuq\nQ82nUHaEyLaiwCJH8S1VF6typjzZuQ/RLfDhE0In/JPfycLp89eERjNaJzHlHz8lcv/FG1jBQhIF\ne+K7+uPUNW9dB9+sEEuz/Ux9swIOO3eHf+aeClVVKCn4bsxp25oLc4VImRau232aSllRiOomiwGZ\nYUuLr+OTk5/igFIfvnfvhZF/Equ9k+b0uOmp0LZxc2T+AmGly5xzG6rFC/v4RLhokRTM7DXAfW7O\nrLcWKReZnn8B7HOsJGqrWpKu1S//j/xTiiDguWnZfWYm/2/8VMaU1xvq1ro/C5ofLlosIVLO4p6j\nb4M+g7wQpk5Ap/3CiqJowN3AT4B1wFJFUZ61LGulo9mvgXmWZd2jKMpg4AVg784a4y6NdUvF+9Ad\nFjSBQrFWePjOSASL0Y67Nq0Am1UxGyNY3GkPdYfQHgaLxdWeGRcfLE6LIVcufEFCPNzaQfa+8fOl\ngqrTw2DTCjZUy7Gb1qSPpa5KGJvWLUu9rK5aJu0ba8T9bsQhvxTLNGjqcyhbLlxKSaQQ3Rdwvw5/\nfof93j0dVrAYxaV4mhUs7twSsDtYi8IIlqD12Q/FcR3y7JWkPXtWsBdK0yaX6+0FaNnUwnYhrnXL\nxDvhJk+NG0U2f/p+unfDLgSW2V+oCCoqUeJRUIOk1VbxF7g/U/6C7/zb7K5oz1yYi6I1oCvces6h\naTkQf6s4jDtfXcOt5xzKy6s2cFjFXPR5E1rvU92Yh0HvzdoW2OeE61Hq12fTnOb1lgT6BVNEobD/\nt4zsBH57bhw0WpSQxyeKMlBRKSFxTvl45YaU12vMDDG0tGyR9sMuyaAeng2rF6cKcZ4zKzUOZ87O\n67fKD2nL7ZL7ZLuZgI+fkPM4c44qKmHRL9O9b0vuk3CusG0Q8Aoi7mwolrUd3NU7ciJFGQ7cYFnW\nyOT3XwJYlnWTo819wH8ty7o52f42y7J+0Fa/Pa1cfZfAiMNNZTBwJBx5aVePBv7xR4kpn/p2V5y9\ny2eVjpDZWN23+GedlGXJiU1+CX+k/w6OsH2oqW/hzBlvZVnOFkwd0W4rnlW3FqXqvaQ1NxnKUbUU\nq/xIFN0Pb90llIT+vNRCzEakHGvyC4CVWszZmDA/9UJ1tGfkjfJyjJSLm/7vh2bvf+t28TRE9pLQ\nANMQxfuDR2H5bLFwlRzARxtaUAtKObBfIcrWtSgv/iLLQ2Kd/GeUzJj77ccuIbNW3VqUWae43kMl\ns2hgN8a2rsO2RPcxqnO2A1z3tconwISnoGRg6rnYuh5a6mDuWLj6o/TnYdyclLLs7O+C58SzMeom\nLM2PUpiaG3by/dglZLa9aO9c2BYLU1PMIGFarN8S5eYXV7F8bR1DBkS4dexh3LpoJT/7QTHlvXQM\nxcdX0TwKQn7Ktc0oNZ+4z3WTnhHCh0ABBCPikd3wkVjnF/0yNVfl9xMvr2lIPoKtAIybI15eu11e\nH3j19ykGKPs8tjc2sjfMPTt7HOPnw4yjUt/H3A2JqMyvGz+FTxdJAbmifUVhSDTLuFc8CsMmy3h9\nIfFymHHxZKx6ESJ7pnujT/6zGJ30gHg/VA0KtstQ0OUy29PQmeboPYG1ju/rgKMy2twAvKQoyk+B\nMHCiW0eKokwBpgCUl+/wy3nXx/qP5IEtPaCrRyLw5wnrwm6EjpZZ1XTPgVCz4rB3HmIJgxtOPYBj\n9lTQzBiG6ufNr63toz00E/DURdnbp60AHMxLZ9zTdvx85j5fnnv7kgPkxfjW7RL3feVSCR+xLAn7\nWPqg0CIuuU9idx9PWf04415Ys1joX2NNHNivF4TFwmiZhrxYnS9XENd9D0WHz7PdIQcCJHStYb0Y\nVjSfLKC2J9m9jetwWqLfvHSftule3foIJ3MxIuXQa0+RSyyR1S9eg2EXi/JgGhJLrmqSuxAuce+v\nsUZkcsQ0FF+eeF7scK3ucj86EJ25NnAqA4ZltYsCNleIVHE4QCRk8dXmRs6d+W7r9uVr69jU0MLi\nlTUsXplOkPH4lKMp761IZIEbBerWbyS0Z8TVEOwl9UJevxlO+Ut64bWLFsODo6TTyQtlW9kwCW0b\nPlX6feW3kqfgpI8dcbXItWVB6cFCE+wmT85k5roqkde5Y8W7C6J8zJ0j5541Ov344VMl3LlZyfaU\nvX5LugdCUWHDB9CrDCsYQcnvOUaJnopuEM+ShvOAWZZl3Zb0QMxWFOVgy7JT9AWWZc0EZoJYGbpg\nnN0bjRvhkXHykI+8Cb54XbaXdBMFwheWGN7dCB0ts6bqd41PNTuRNjQSUjm+aBP6rPFQV4UeKef4\nikdoCUlYUbvyI9rKgUg4imnlovLTA2J1ytyXi9qvZpVYasfMkMVjZlXfET+FB06QRV9mcaKnL08p\nMs9NQxs3B3Qd1N67JCVmh8+z3eE3MhJCKJG5GOl7cPuVCNWX4zp86Uw7etCd7lUP5qa9LCyThVUw\nIkYWZzjIhCfEMjtvYnp/r/xW4t3d+mtpkM/GGpF7Z72LNq6jp6IjZLY981ZmyNJDk4/YYQpYVVUI\nuuRJNMUMyopClOQHuPz4/YiEfDTFDHrnaRIK/LhDHjIpUJ3VqVuZvOrgvftTim0wkpKD5loJYzrq\nMph9Znq/VnKezS/N7veMeyU8zk2eTCP9u03nas/FdvhRvCn9B7GZxgr3gMox2extp90hCoSdv3bB\nc9Lf2IdR9CA0b9qhUEUP28Z2ZI7tML4GnCphWXKbExcD8wAsy3oHCAJ9OmV0uxKemQrfLIcl90pc\n4/sPS+Kgbd3qavjDEsK0HdVfPaRDzS8hUfFIGnVdouIR1PzOu8d6tBZ93vi0iV2fNx49Wtv6gj1z\nxluMuPmfnDnjLVZvqMc0M97p/rA7laQ/LFb91qRSzZ3KD0UUgcx9eX2Eys+57fS7xEJn027Wfpn9\nUkokrWi5ih71KpOxnHEPSsMGlE2fYVX/RxSZLBrDStnuAQAjvwQr415bFbMxOlFmO4RKVve7y6Lu\nT2fasUx3ulfLbLMP7homcpg5zrqvUsqDs78RV4tl2a2/UCRd7p0sbXaROecxZ87cramH2ztvZVKy\n3pHMV9hRCtiS/AD3Thya1k9ZUZCHLjyCa0cN4g/Pr2TczHf5zTMfs0+gHiWzerNNgVoxR+hP3apD\n+4Jw7P+mKIRf/b20j5SLnJz0e/cK5YoqzF7HTXc3rjTXyv7MuXz53NR3m87VKZPPXiXn7FWeLb95\nfQDFfS4u3CP1Pb8UUMXA07QRElGsnsZI2APRmTPFUmCgoij7IIrDucD4jDZVwAnALEVRDkQUiB5G\nbN/FiEfh83/CgaeKBfetv8v2Y67p2nE54c8DLOHPDxZ29Wh6JHRdJ1F6ILHJL6GacUzVh5pfgq53\n3iOttRFGlYvzPCs/IrolN5Wk02KtqGJpzaDyU2ya1EzKyxevgbGzZFvfg8XqbFMOJseZhbqqlGU4\nV9Ejy5LE7ftGtCoJyj9vwjrllvTCdHZlbcN7idnQo1ugcVMadalSs0a25wc7ZxC5qCkzazi0hVhj\nTspev69XyoJs5KBaNmLyl4v2d9py9/CiXGF5oaJ0Ks7GjSn2sDPvhxf+N8VQ42RpMxPCZOOk3tT8\nPTqEaUfR3nkrk5J1+do6blm0msenHA3wnSlgdV3lgL4FzLtsOAnDRNdU8vwqTTGTC59YmjYuK4cs\nW70HkggWo0c3o7jKS3GKoc6mfA33hklPw9ZvZe7KFV739h3wg2nu+1vqJU/Mpo41DTlX+ZFw0CuS\nnO8LSU5F5lzcXCvzvRvF6zkP5fCUJb07ZcPE0/ewg6xg3ByMwgHdLsRmV0On/b6WZSUURbkKWIxQ\ntD5oWdZ/FEX5PbDMsqxngZ8D9yuK8jOEQXiy1VlZ3t0QLQmDb+uilBQECAfaeau++be8nPoeCnsO\nEZe4Pw/2OWbnDnZ74AvLZ3SLp0DsABIJ2GT1ImFZ6JZC74RE1HQk2nLnG6of/WerwIqnaCoVH6aV\nm/M8Kz9C1WGf40VBsBWIfY4HVcdQNPSz7oenLpUXTE6aVMt9n2WJB0DV3RNMVU3yIdJoYbWUSz2T\nqcQumnTyLdJHXZUwlIy8Ucb+3zfggFGp61j1DzjwlA67Fz0eiRgMGJYMX0xO6wOGSY2CzoKWI2xH\n246wHVVzpw1W5fmYd+mR9DI2garA8GlCAmAvqJbPTcqsAgN+AL0Hyr68PvJd9UkSqR7IPjbR7E5l\nbFNgNlRLkbC8EnjjVvlu/84T5mMV74diIZ5fVZXn44nJ2b/F5N2XOb0985ZpWiiKwhOXD2dTY4x7\nX/uc5WvrqGlowa9rOZOmQ36NhGERTRjoikIoqRgkTAtdVfBpCqCQMC0ShknYr1Jo1aPHovRSNN68\nbCCmkaDZUPjj65uJoaO7hnUG0WNbxZAxYb54p+zF+qDRsohXVElObtmSnLc1QBXqVkV1f0Y2fiq0\n1YPHpPbbuRDhEqnXcOg48QDYc6DuF1le9AsZQ2ayf9kw8Wjk9Zb2Xy0Rw2KoSOaJcF95JmwWpvxS\naV+8r2y/4m1hunv41HSPyOMT0Sa/ABR3mGx4yEanKmjJmg4vZGy73vH/SmBEZ46pO2L9lii3LF7F\ncx98Q9yQyWXcEQP49ejBhPzbiKn86i35LD1QrEkHnbHzB7y98CcViJZOXDjsYohGE6zZ1MgVc95v\npf67Z+JQBvYOEwx2zGO9LWpCLViEtXlVFpWsVnwA/rjSrphgI1iC1rTJlRITo1Hic0ffJiF44+ak\nx/s6aVzdKC9jjcJOcvm72fvHPyFhIk6aV7u//CZh9FBU8Yw01wkvum01O+kP8uKzkxXDJaIU73U0\nPHxaen+2suwBM1iMunlN1n0yiwd2WixtItwHrWJ2Nv1xuE/7X4bB3jkohXujWgb9o59J/5e/m03V\n6pRZt31VS4RU4Novs/ePf0IWT84ciIpKWPpAq9WVvBJ47U/C+V9RmXx+/gqPTxRrdKRcisiVDpZF\nnpslOT3lcLdCrloN9rzlNifefPahPPz2F/zsJ4PSQpacbUvyA1w7alArVetlx+zNqYeXpc/fE75P\nyK8y+aFl/HDfYv54XB564wZ4957WpGetror8SDk3jp9PwmjOpjcd+zDK5v+mF8K0KVrDfeG4a+DF\nX6QnUWe2GfknF/pWh5z1Ssraaze79/PBo3DouVLhOrN/uxr1vEmiDGTmCFXMho+eTNG+VlQK8933\nToSzZornxDmu0+8S5dpNjndjT1pnodNoXHcWdjUa1/e/quWSh5fSFDM4dv8S9u0T5rPqBv6xqpoj\n9ymm8uIjCbSVmPXYBCkad8Y9nTfo7cU3y+Hl38CFi2Cv4W23bdoMK+bCkPMlnnfH0eVUbR0hs1/X\nNjFu5rtZL7rHpxzNnkV5OzpEYNvUhG3RQFqFZe2qEdFWH+Cgurz6I3nxZVpfT/4zoMCL09333X6I\n+7GhotQLznFeJi+UYyA3Fezo2yQ8MEkHa016FlTdo8TcBroDjatVtxZlycwsr4B11JR2j6HN61AU\neOjklMzmpB7OQeN6wXPw98Pcj80ljxc8LxXUl8+F758vlmc9IDJ/8p9dx8Alr2AlYp7MZmBbRpNc\nc+K8y4bTrzCYNrc52953/lD+8PzK1uNe/tmxXDhraVY/sy48khP/+jrL/99hFG1ZKfd75I3ZHlRb\nFvJLxQPQZ3/JkVF97oXaLlgoBpO5Z7v3FylPFd3UA7BsVvZ8OuommfcSzVDQX/53k+Hx81OKr3P7\n+QvEQ1Y6WMai+lNhR5nHO2lfbWrtMffkpol1Od93kOMul9meBi9ErBth1fqtTH7oPcJ+nV+NHsye\nEUmkOn5QKYP6FTDjtc+5/ZU1TB/VBpvS5i8k/rU7w5dc4LaHiWnFI/DSr2Hp/8H/rNi54+pBSJju\ntIGJzCTlHcA23flt0ECqqsJ+vfN4fMrRrS76EreY4G1RSdo0mGYC8orSQz7yilIMH21RqLpRrNp0\nhVnnNYQFxzTgk2eF+abuq1SMeKg3LLpWKA2TVl/FH8aKNXpWsG2hO9CGmgmxbr5zR/r2Iy7avj7a\nug57X3vbOfdZVipHJJMCNlziTgtrxGBLFRw6VsJVX7tJFpWrF0pyqtt5EjFRNNzC9JTddx2lqgqD\n+hawYOoI17DNXHOiZVlZc5uzbSTkSztOUxXXfuwuQmoilfPiRuhg70uG6zB5oVCj5prXLAOwcveX\nXypRC5Yl979xQ3pIKEjF842rhUgi1iBhf5myuG6ZzM9uY6hfnxrjK7+Fs+53b5dJ+xoqkv9V1Z2u\nNlafLcdjK1G07Utg97D98BSIboKmWIKpc/6Npir8avSB9MlPZ285ZmAJn3xbz32vf85ZQ/ZkYF+X\naqGWJS+SfY7vnEF/V9jVedsTwrQlWTqk9gtJ0gp4VVIBdFVh5OASpgwtpDRPobrJYub7W9G3M2mv\nLWzLnY+qu8dkqzrxuMHqmuwQqwNK8/H5HC8IVc8dJ67qyQVNkuv+2Gug/ltpE2+C4T+VcLhES85x\nMG6OO32oHnSP8936tVhsI+XCTKL50yu8nnGvuPkL+iUtdgpgtX0dHgRtyEunjuGil6GwXypvZ+v6\n1BhMU4pqJWISv51nV7Vt33VYiiKFA+uqxBpsy4SWlOd4M4qqY6G0LX8XLYKTb5V4chCrcLAX/OSP\n6VV8x8yQeREktt2ypFaEFkjlCLnGyfvlGpfcl74IXHIfnHzzzvv9ewAyazWYpkVNfQuxhIGiKJw0\nuJSXVla37s9F1+qcP+ua42lzqWFarnOrbf+J4yNoU1G7ETrY+/JL4Ue/hoI94Kf/lvvvlp+gatDS\n4t6fnYTspG21Q47s3Akn7WpFpYThbalKeTIGjRaFwK6nM2h0dsE5+7xFe8Epf4VNn6WuYcTVopj4\nwiKzU5eIp6OxBoJF8ixk0sradLX16+X5Gz8fonWShL3kfjiqGxTN3cXRWaGnHraB2176lC82NnLl\n8d/LUh5snHvkAPy6yh2vrnHvpLlWXibdnfvYvx0eiDpH7cH67aBa3MXRJ+Tj7hNDDH15LAMePpKh\nL4/l7hND9Al1HId777Cf+ycNy0lNaARLsI67NkUHuPg6rOOuxQiWUN3Q0qo8gFjXrpjzPtUNLekn\nCRanYr3vGiafh5wt2zU95Xb/+2GSX2AkxHq18OfycrFMaZsxDo67VpSLxde5U8UW7ulOe2nHf9dV\nSay5/b/9+fTlkgOx4DK53kCBLDKDkRzX0SFhd7sE2pKXTh2D7pfz3zEEZo3G0v0yBtOE6pXwwIlw\n+8HyWb0ym246l7wFizH0vBSdr1O27xwq8ttQDS9OR8lFS2zLn6KncnhmjZbP5jp4+850eXz3HkCR\n/XcNk5CSWKMkcI+tFMX79LvSz3Puo0mZzX0dHgSZtK4V973DtBP256TBpUDbdK3O+fPVlRuYMeH7\nrXPpE8uquCeDrvWeCd/Hp8FJg0upiuYRzU/KhE176riHZq9youc+IQrlc9PgziEw+wzxNFTMlgX8\nj6+Xe/rgSAlnCxSIbGb2d9x0d7rh46a3no8z7k3Rrn70FERrU0U2y4ZJLkTlGLjz+yJLx10rY7CP\nt+lbz5wprE/zJkpy9zmzRHlZ8aiQKcw9G+44XJ6Z6FYJpfLnwfwL0sdn09Xa/R51mdDR6kGoWgr7\nn9Sj65n0FHg5EN0Aq9ZvZfTf/8Xxg0q45Jh922z72NIqnl3xDS/97NhsL8Q3y2Hm8fCjX0H5NnIL\nuhJGDOacBT/+jfBRt4V7fgibPhUr86RnYd/jdvTsXe6f7wiZjW9Zj++hn2RZFuMXvoyvV8eFsCUS\nCcyGGlQzhqn606hi24oFrzKKseIt7BVsbLX0fhUNo/gC7NU7lVhs1VWlEqjT+lgIqCizTnaPpa3+\nxJEDgXuct53PcPVHYpFyegc0n1hy7Wqqtlv8xN+lV0OdtkJeaE5c8go8cRGJsXOoDu1Hv0gYZeva\nnNeh2C/q745dQma7TQ5ErjHofvjvv6D8iJR3omop7PvDNKNMmzJrmijV/4F+yTwaN7kceSP0PUjY\nxXLJ30/fT1lcM491hpZkstrY7SYvFJk/8mJYdJ08J5YpXoqkV8Wqq0L55IUM5rBFWAee4slsEm3l\nPFiWlRbi5MZYB7Ru+91z/+HsoQOIhHzUNcf5traRnxzUvzXE06+r/GrBR0w/+UAuePA9/nLOIZQF\no/TPs1BUDcUyMY0Epqrzm1dquP5Hfcib45Ins2wWnHB9el7AuDnpuQ29ykAPiScjv1TWDpmhSFe+\nJ0aaeJMszB8+TfqaukQs/Q+OTPWdSwYTLclinwZsWiP9+PPh/h9Ju/OfFgWorbyMcEnqXE5MWyEe\nYstIsfj5w/D1+5DXBytSjhLerjJiXS6zPQ2ef70b4C+LVxP0q5x7xLYn7VMO6c/ij9dzxz8+487z\nhqTvrP1KPru7B0LzywKuvSFMJQfCtys8D4QDitHiGj+q7EDdgcwXYFFIg+pP8NvF4iJSrM7sOxhV\n09qM8e4fVvFtrUapqWrNH9irVznx8F4ZJ83FoGEIPWyuWFq7gqmi5ub2t/MjTCM77n3aCnfqV5sS\n0/6uZoQmRMqxCvrz75/M549P11DT8B4Lpo6gj1vM+lu3p1dh3d3RXXIgco1BzYc++6UW/TYrjJph\nXW5LZgOF4t2aNVoMHm4yUdBPwvLakr9cDEmZxUDDJe7ttn4DA08U+T36CqxYM0rv/dKLxCkq9D0w\nnTnMfqY8AG3nPOxZlJc2ZxqmxR8XruSlldVpydclBQG+rm3ipZXVaaFPAD85qH+rQcVuc/EP92Vd\nbTOKovLDOz/MGtMTlw/nsfc/5I8/irjnRqxeCMOnpu+z8wgyc8HKhglLl5ONzqax3vhpSj4nO45R\ndVEs7DCoXEU3bUNhRaVsmzsWprwmCoQdAtirTJ6PXmXufYSK0s9lI1IutX0K9xRlpJV5rwn6DKIx\nbhAjn6KsX89DR8KbKboYH66r45VPqjnl4P7kt4N+szDo46SD+vH8B9/wWXV9+s66HqJAgMQ6bov/\nPbpVLB0lyaTx+m92/rh6CCw7xtmJSDnWd0wcc6vAGtta7Vpp2mhI1na046szxoCq44vVoTTWpIVg\nKI01+GJ16e3b6EOp/9Z9X3Ntyo1tWW30YedqaNn79WB2CInt3re/j5khbvDMMJNYI6X99uDy4wdS\nkh+QpHI9KK54ZzjICTfIdg+CNu51txhDrMG9SnWsof19xJtSfeSSibw+IrdtyZ/NxZ95jvy+6cfk\n9XFv11iTej7MBMqrv4PmTentLMu94nAPj0roSNh5DE7YOQ+Zc+b4B5ZwwQ/2YciACCX5AdZvibKu\nroma+hZ8ukpZUYghAyLcd/5QHp9yNA9NPiKNlt0+l50vYX9mnrtPfoCyohBR00VGMvMmbDTXpvY5\ncdz0FDU2pGTgJ78TZRfkmHhT6n/Nlx4GlXkuu52qJ5+hSeLtiJTL5/uVks+2+DoJu1t8ncjcoNHZ\nfdj5RWMfTpf7cXNkeygiSsnIG+H1WyQvY+Nq1m41aYplhB566HB4CkQX428vf0p+QGfUwe0POxl9\naH8CPpW7/vFZ+o7ar0S794fdD+xO8Ie3nQNhJ1BHysWy4nkgWqHll5CoeCRtUk1UPIKW/93iyd0q\nsG6pb2jTy2EES7AycgtaaziYcfe4WjOj4m+wKDs/oWK2yIdlZi+yTr8r9WKz2UW0gMR7O9uNrRRP\nV6RcLMOZ50g0pyoBT14on0sfkFCPyQuFqtUfFkaSs+6HixbDxKfgw8dQ5p5DP3ULf3h+JdeOGiSL\nAMtyv15vMdYKwxdO5QdA66LZ6MxaGf78HPKW334PSbDYvY9gcXofZsJdJmyES0TObHkLRmDENPmu\nByXu3HmOM+4FX7KC8JXvyTFv/S07x8F+RmyWnuemSYx4Zi6HlcOTYnleMxtt5YG5zZnTn/yQn5+0\nP/87chC/eeZjjr3lNc6c8RYN0QSVFx3JtaMG8YfnVzJu5rv85pmP2bC1BTOZOW2f68n313Lz2Ye2\nfqblSUwcymur1vObUwdTQxHWuDnp9z6/r5A/ZOY5rHhU6jdkzqfF+7nLQEt9qnp5xWzJn5i8UEKO\nPnxcchzsBPz+h8uCPnP+jUdT/cWbZDzxJqlMPX9S+nMx/wJRWjLleMWjcq6PF8i5LloMk54RT98x\nP4fFv4Yt60QJWr0QivaB12+m0Ge6JrZ76Fh4IUxdiOVVtfxzdQ3jjhhAnr/9t6Iw6OPEA/vy7Aff\nMOXY/Ri8R7Kac91XPcP7ALI421YI09Zv5TPcRypV1n+788fVQ6BqGvQdTPzCl1GMGJbmR8svke3f\nAW6u+m8aTPq7uI5tL8eGZpO+xQegTX6hNWbcCJawodlkj1yLk8yQnuhmWXjZ1JWqBiYosQZRAF76\nlbw4bJ5zu5hbciwSwhSFj58SFg4nA9JRl6Vc71+9Kxz7dqy3orqHkNiJg4kWePEaOOuBVPytHZO7\nfA6alWBdbTPXPPEhT+WlJvsAACAASURBVE39AeQIKcPISBrfndFSL0qa8z69cyccMx3CnZO4q5gx\n2Ph5urxVLUUp7J+bsSjTQxLdJExczj4Un2x39pFLIQGJC1+9KJV/oOqSs2CH2f3PB/DO3enhT+/c\nDaNuTKftBGHHsdsV9JMEf3vx5/TWXfhixo+hul+vF8LUirZoXXOFN/XrFWTyQ0vTFItJD77H/MuG\ntxaSs7dfWrmsta6Ofa4/nXkopmlyw+kHoynw+JSjMUwLTZXq1YUH9hOyI1VhU+B7FF7wIj4rLnKo\n+jA0P/rJf5ak+/Hzhea0fr3MiUdcLDlkiiphbnbYUqYM+PJksV7QT9i68nqLYpmIpQq7jbpJjHyx\nRvjwiez5t/zI9P4URWTUiLk/F4oqfSSiokAbMVEqLFMYlcyE9P3mbVIo8bQ7UuFa9nm2rIOGaiIF\n+QRdEts9dCw8BaIL8cC/viAc0Bg5ePuTXsccvidvrKnhl099yPzLf4BfV6H2SyjoIQqEL2/bHoho\nMtzFny8Tz1ZPgXDCiCfQrTgg+QKJeOI7KxBulK0z39/KPRcuRjXjyUQ1DVP1tXo5SvMDkn+QgdL8\nADQFci7GrLq1JIIlaP6AcHUHC2TxRdJan9cb4vUSnmEv8suGwWl3SjEhRUnRBQaLIN4IR18uLxjL\nEMXj6MvFahatEw/FwWfIC8kyJf7cHxZLnbOq77g5EkNrI9xXXojOqtOhIoiUYygyda6rbSaeMFPU\nhZnUnprHBGLD0gIw8ha512ZCFtEjb8Fqqd/2wduDtqhY80qw9h+F4pA3a/9RKP4QmDGsCU+i1H3Z\nmrdjRfZGyfDqmcHeaJAus4FCTEBtqYPzHheFQA+4y4TRApv+my6TKFIE7pOnRc5WLZJE2C0OheOE\n60X5mbpErmvCfGGyWbestagho29LKQ821SUkPQsZ3jBfWPI0jHj6M+VVT28X3ObMkwaXEtA17jxv\nCPkBnWjcYEtzHE1ViBmmq8LRHEuwrlZyKHyqQsCv4tcVLBNC8Vo0K4blC4FloLbECWs+Ev5e5MU2\nCSudHsQwAEVHM+NoiSiWHpSMYGcl8wlPyv01LFmg9xog7+CxD6dYjmy5efX3YvlXAxAMJkPhkvJx\n8cvJ73HJQVB9cNQUqPlE5LGhOkUDGymX/tcthbIjZO4t3CO34uocr534DfDf1yVcKVQE+48SpVnz\npYdQVVTC67dijHsEf0Fpds0hDx0OT4HoIqzfEmXRR+sZeXC/tDjI9iI/oDN5+N7c8Y/PuPCh9zhn\n6J6cVlvFKn0we0ZNioLd3Irkz4PGjW23sRUMf1gmjtovd/qwegri0Rb0zZ+g2PHWkXL0itnEiw/E\nF3SnAW4LtvvcWYH1b2MPQqldk4rpjpSjVMzGCBSjahqKEUfbvCptDFrFbIziAzACxWgVc1CcC/SK\nOSjrP4RFv0CvmE1L8UACvgLYnH4OKmZD8UBxgdsvt5IDZOH16Lj0dnmlkKsPf1hiz0f9WV50zv1n\nzhSZGn1bqkicFpAX5+qFqT6atwodos05Hm/CGjeH+99vBBwc8L4ieeFmjiHgpfHZUAIRrAx5sSpm\noxS3URhze2FTsT52Xuo+nPuoVL9VVRKxGJqLrCSSY9Dizel1PyrmkEiArtOqmKh6PtbmNVnXYRUf\nIAseW04vfdVdJvJKsAoGQEYfVMyBi16CzZ+Lx61+ffpYxs2VZNNHzkltsxdqDdXJMKqIEARsWpPt\nrdMzLLJaEKJrXcZX2nH3o4ejrcrUmXPmSYNL+ekJ+3Pe/e+2tr357EOpfOdLLhyxD2s3N7nWfkiY\nFpMeWNJ6zJ3nDaGsKEBR/eeSg5ZfKrkzyXA4bfg0/IecLbKT3Kd/+hIcfFYqNChSLtb8C54TOTJi\n4vGfe3ZWfwyfJopkc63MhUYsVYTz3RnCXtdYI+3zS6UmQ6wxdbwdXrdsFpzyF4kYQIOT/iTHVb0H\nex0tc+tRl0noU2bhtzEz4M2/yHxcvK8o4IuuS5+LX78l9X3MDDHu2Anao2/D8oVpOeV29LxidJ+3\ntO0MeDSuXYTbXlrNXf/4jL+NO5y+hd890fKfq6qpfOdLChKbWBq8kt/EJ/OMdhJPnRHme0XdOAbw\n7Tvg2w/hf1fnbvOvv8ErN0g14GUPQtU7MP3LHT1zl5sluislZiYLUx+jus1ztDUGAOXF6dnW15P/\nLNSqEZuqVcl9DlWHui+hoL9Yp3JRtcK2aVzd9o++LRUGYm9z0mTafcwaLW3z+2KFS8EyiCcMqupB\nCxezV+98lK3rdiZFqSez7UXDBqnfkHmvL3lF7t+2ZDbX+Ar3TCkmtkxsq49ccpeUe1zO1VpJOFLe\nfpmdvFA8Z0ZMis198YbQxDqsyta4uSjhpCemlcZ1p96PXUJmc9G42mFHzjlTURQq7nsnq+1vTh3M\nH55fya3nHIppwfQnP2xVFmZM+D53/WNNVmG6Vy87kMCsk+TeZNKkTl2SstTb+8bPT6dthZTX4e4j\n0vvI7C8XDevo2yRvYktVSpG1vQL2d2d7m4p19G2yzZZTe7xOqlZnkbuC/vDkRenKbnvm5vMXSBjW\nw6dJf8dNx+w9EEML4SsozS4AuW10ucz2NHhqWhegJWHwyJIqhpQX7ZDyAPCjA0r54cA+JL58B96G\nUw8q4blVcMXLzTx/dpiA1k2fCV/etnMgolvE5akFkjkT9eI6VbrpNXUmdgIlZmYFVmvzNs6xrTFk\nUgZCyrLlzIfI0YdlJlCWz4Fhl0CoV9s5FW3tyzVOX172tlBR+vckPavVeyBKogXlQXmp+yPlfG/M\nDCwljkIYqztQlHZ3dMZvlMgRX52ItW8MufY11aS8Gm32YaWoW3O224bMzhoN05a3X2Ztjv1QkYR5\nlB0h1t4kh76V3xdl9WJYPD3dI+PJ7DaRK88hlpB76Jwzv65tcm0bCflYV9uMqijcsmgVvzl1MANL\n81GAhpZEFrXrutpmVNMhx5k0qaqWvc+5zUZdVepdGSpKyWXJAfJp13vIRcPqy5N+fXnp57P3Z7a3\n+8mUUXtszvPYYXcAVy2T77ZSYefy2KGjzv6d56tfL4alsmHiJX72KtS6KtQMr6OHnQfv1+0CvPjR\nejY1xhh5UMfkK/g0lQGqhAMV9y5l2mGwptbkmTXZ8endBv6whI24xNC3IroFAvkyCfrC8mKLN+du\nvzthJ1BimqZFTX0LX9cK9eA2z9HW/m1Rq9r/t0XjqmrCtDF/Utv9bXOcfvf98ab0bYNGS97FlNfE\nanbpP6X/0X9F0YPpFr66KnhmKkrtf2Vx2R0oSrs7OuM30v1yH8fNEcv8uDny3Q7fUXX3/duS2UQM\nhpyf7MOXW2b1UIq6tY1226YeznFspszax9hUsbNGS9hI4wZZoD04EqXydEnWLhsmcvvYeZ7MthO5\naFwVRWmdJ20WpVxtnbSsy9fW8YfnV7KmuoFPqxvY2BBzPcZ0zlmZNKmm4b7P7V7aESaWmZLLu4aJ\nN/iMe8Uzl9fHnUI13iTnctK/5qKDjZTLon9CMpHaKaf2eHPRvWp+GDIxVTl71mgpovjj60VmITU3\nO5/ZeJOc8/S7s+mIbRn3sFPhKRBdgKf+vY6S/AAH79mrw/oMNKwDIB4q4ci+sF8vuHdFDLO7hqjZ\nVLNtJVBGt6YS+vxJq8a2Eq93EySCpa4Uqongd4tfdqsD0Rwozk3TCrnpLP358lJw22cmWv9XzGQf\n4+fLi2fyQvkcP1+228rlyBslttutv9qvRMEc/0RGH0+IJSxSLi9PF/pQSg9MHTN5oSSpvvp7kbtH\nxkqBolmj5bui5LbSJWJtU3t6AGza3zkZ8jQnJU8dgWAx1vG/TKu9YB3/y9b7YARLsE78bSo5Uw9g\nnfhbGUOOe6jUfiXhRgNPgh/9atv32o4NNxOS15DWbo48G8FIjn3JpPtYoyyUnDJ93mMSUpJ53po1\nWYotI65O/Sa2tdZekNkeGU9ms5BpRCkK+bJoXO+dOJQbnv24dZ78clMj1fVRTNPkvvOHprW16Vhv\nPedQ7n3tc8ktqziMe1/7nCffX8uA4hC3npNO1TrrwiNo0CIpmu63bk+nX10+V+blQaNlrp34lMxD\nbvOoP08MIkV7i2yNvFEW68OvlCJvD5woc91x01NKRKRcZK9XubApOelf37pdFvKZdLBnzhT2r4U/\nl1oPxfulxhJrkLHY1LK2Am9TY7/3AAy7WHIjnHL87FUix4NGSy7RI2NT9VSOu1Y8DP/6mxBltOV1\n9LDT4JkaOhk19S3867ONnHbYHqgdGIoTaFhL3B/B0vwowFn7wq3LTd752mBEWTe8zbZiEN0CeTle\nWNEtKcXBbt+yFei/04fX7aHpxIoPwO+gUI0FS1C173av3TjNG2IQDPdBueD5VhYmS9XYGjcpDiL0\nqeE+4NiPHkD5eqm80MIl6VSX6z+SGO3JC2URVbdWGJeMWFayqNK0EWafkdo2+QX46MlsqsChF4iC\nkIhmJb+ikKRuNcTVPfEpuVjTgM9fg71/kH7MmBnC3vTMldkLssnJ5L3MuN94k1i3zRZJ/nNebzAi\n2/FYbQA0K4riC6Ulriu+EJoVBTqm4J7VtBHl8fTih8rj47EuegmlsD9aYitKQ3XafVfGzEALFcmC\n4/Vb0qlTX78FTr5Z2s47X2QdQxZIafe6SLY76XwTLaKoOBP19YDQalqmVIVOS+LXU0qzHnCX6a/e\nzB7fkZem/wiZ4R6RcvFKLL4uFYeu+4VCOdf1Bnc/mc2VMD2wJJ8FU0dgmiYJ02JjQ4yzhw6gpl4W\nqBu2Rpn0oOQ1XH7M3rw65UA0K4ah+qlX81rpWP9+3hCCuoqmwd/GHc76rVFCPg1dVZl90ZEYlkV9\nNE5tY4zJDy3lh/sW88sJL5KnGcQIsvHMZ+nlNwmF8jAChYSO/wXK4xPkfg8aLUqAU14mPCmKaEuD\nFHOzt096BirHpM9x8yYKze9Jf5Ak/k8XwyFj4YiLpOZCsJfIvmlIDZ38EukHBbZ+DS//OhVu9Pot\ncPwv0sdyzkMSvqoH4XhH8bpIuSgVb/xF8uWcIa91VVByoBh2Mr2/9rO4/6jclaozSQM8dDi64cpy\n18bzH36DacGI/fp0aL/BhrXEQylL3g/6Q/7HMH91vHsqELZi0FYeRPT/s3feYVJV5x//nDtlZ7bO\n7rKACIuISImgCGKLQmJBg0IEWZRuw05MbKmWGI1Y8jMGiaBGqgooNohgC8RgBbGiiIDCArLLsrOw\nZXbKPb8/3rlT7yyIi4Ls+zz7zN52zi3vPfe87futiUcqrN/dsVcfJFJR28iIaW+nFezNnXAChxZm\nN3Gkvdjl+rbS1RjTz04amA1fKb7xLwHRSU9iEea4FwElH45UpA9rgu70wN+6xb1cgR1gfQRBfueO\nko9f4jozJBj5Fk6+JcddJL8W2pO1/7woVv6Mc+PnkvjRGr1APHCphsKYZzPnpg+Zkn49eYdIUerO\n8swFs5kM5INNLBQYu3vk9TVPH+FABm9kIL7djtzNMgZ2V7ejTXSwDlX1ZbouFB+BVk6UNZlxeWHG\nOfbXa4bgyQvSt41bKP8bDhtW7NFiQE85Pvn8zrgteTkx1cmaoL3+Z2kjp0Tyw7NLwP9109d7kImd\nE+WymSuYd/mJOBRsrwty+ayVSQhLhiLG7dC7Qz6XdWska4bUSTl9pWTZ5OJX7mpk9GOCujR3wgmM\nmPZ2bNvUMX24Y+FqyqsbeGrlZp5auTlWiH35rNWA8EIUmFvptjBh3DzmwvQx0P+V/J9Y8OzfKNCv\ndu9IJCROm9zWEq2aOVjWj5qfuWg6p0TGvUQ55sL0Mf3pi2R/SC7YtiINVluJ4isVaNhMNRo6Itte\nvTUd1WnEHNHxFtmnslczS6XUycBtQMdoGwrQWuvDd3PcWcDfAQfwqNb6bpt9yqJta+BDrfXIvTnH\n/VWeW7WZjsXZdCj69pO8piRr1yYCefH8QrcDTm0HizeE2NnoIT9rPys8didEIDJJwB+FhEvYv7El\nhQkgbGpuO6cbpxyqcJji7XpjsyZs7l3KmlIqDWJQmaF44Z23ULymZgRlhgj6t+Iyw8nbCzrEJ0wD\n74IvXk6OGKxbKqH0a1dBXQUsnSSTlaaK/2In47D3MilH08Wg1rmkThrrqzIbCnb9GE547TZBjjIj\nghDl8oK3SCYH0WLrJG/u8gfSifMOZjEjAqnbtmcsasY3H3+ne5SGHGZk0BOrtsBsguBwd8daemCG\n4JtPk4kJP18MhR2ldsEyNHdHptjpVDjx2mRSPW3GjRm7Y1PrE3ylYpRbnBC1FcKcXtABrlkp9/mt\nf8S5IQraQ1470dndXe9BJpkKprf4G6iqC8Ym9tb6m5/5iFkX94ut++OAEopfTPGUP3VhDAHM0tX6\nYJi7h/Ykz+OkKCeL9oVeSnKzuPmsIzmmKEyPskOpqNf8ZWklYHDFgM50aZ3L1DF9WPVVFUcVhsnW\nKUXTiUXS1lhtpW9aaEWv3S77ujyZn7s1XibWFGSawHsL7b3/OSX2++e1lais3bb8Q2McOzEjYPiM\neGQi09jfUC26/c5U+dbUb5d1FuJYi+xT2VvX9GPAr4GVwB6N/kopB/AQcAZQDrynlHpBa706YZ8u\nwO+Ak7XW1UqpHxUg9YbtdXxYXsPIfqW73/nbiBnGXf8Nu1r3SVp9egf499ewaH2IC7vvZ+E81x5E\nFAI14OsY3T979/sfRFKc7eDQwiqc00fGvF0Dyp4gsJfebkPBpGG9kiAGtdOLsqIIlhf/xYkov6AQ\n6UteSY4yXLwkPsgXd4H89vHQs5XHakUsfKUy0XFmIJxzZiWfoBmSuoXEUHzZTJnEhxszT/rB/gMY\narA/pnFXujfrlw9LMWJtBcqZZc/2bhXPpkVcvOn7HqySXSwTBStSY+XcZxfvVXN2KSdvXNndPlJk\nRGsLrOLkNF1xSY54pmOjnnwdTdOj4wkS3Uq8DleORFleu00mYRmZrR2y73GXJhNnlc2UdBE2Zz7W\n6U6eZA2ZIt7d2go5PretTBYfPys5RaS+Gn72+7jxAJI/XzbLhj8ld6+ex4EudsRw7Qu9VNUFY0hK\niVJe3YCO7lNe3UDr7Ax1UuGgra5OGXUss9/awOSRvXGg6RD+Cs+McXTwb6SDr5Tpv5zJV46OXP3E\nB5RXNzCwRwkPnVWIc+d6SYNL1A+rSNoaq8/4S7J+DpkiRJyRoPAvper5edOE58RXmjxetu8rk347\nXbSguUfMTo7uZhfb759dHO8jdZvXBx/Pj/JAdBbD5JNn4dQbxIhIizDMlmte/oAsH385vHB13FC+\n9NXvrhAtslvZWxOtRmv9kta6QmtdZf3t5ph+wJda6/Va6yDwFDAkZZ/LgIe01tUAWusKfkSy6KMt\nAJzUee8+mJnEXb8NQ4cJphTQHumD0jyYv2Y/LCZyJ9Y0ZJDGXTYpTC0RCABXY7WQDCV4u5zzRuJq\nrN6r9iKmZsabG/jTOT2YO+EE/nROD/wNwfhH5uTr0rz4KhJOXmd5o0C8XBapEURD7CkpGQsuA1R6\nQV7ipM1a58iCZffKxGz8Ivlddm88z9yuSNqaNNqhf7g89v3mHwrFh0sfV74lXq23HgIzGE/9sBMd\ntk+N0S2QmDEJ1Nik5YzZ63faLuUEd454HwfdL89w0P2ybI0fWXn2xctZeWIkunOSj3XnAEr07Z2p\nhDEkPcjuOkL1YoRY7OlOj71eOj3RNsamtDE2mhY4KLNOu6Lnd/W78vvabXGW9HljJeLw9Pi0FBHz\n7HvSYS2D9fEaiNg7dU8yG/tBJBYxXGoR9MNL18WQlAB6d/AxdUwfnr7iRNxOg5kX9aN9oZeKep0+\nzkSNPjtdvWrO+xx7WDG1gTDUV+F7flzScyt4bixGfVXsmAl98nHWbIBnJ0i0afDkeH/KSB6rn52Q\nPhYZTon8zh8XN3ItPfe1hzfulYl5IsrSydfBK7cm92VFBz54Ek64UqJl1jtjwcOmjq3DZwhHyyu3\n2Le15I8CajFnuKRReYugy+liRJxxuxhF4xfBrz6UWg3fYfIenfN3SUd9Z2rceGhqnG6RZpW9jUD8\nRyl1L7AAaLRWaq3fb+KYQ4FNCcvlQEoyJ0cCKKWWI2lOt2mtF6c2pJSaAEwAKC1tZm/+PpSXV2/j\niJIcinO/PVNwU+Kpldsa8ibXVSglUYh/rTb5vCpCt+L9KDS9O4MgEpKBLNWA2B13xH4qza2zjkSc\ncEv8GzHMvYPuVQrGndQpKQLx+qWdmw5jm6HkdcsfiHuKUtOKMoXBw4H4x8xK/XntNhj6KPzyn5Df\nDrZ9Kn1lytcOhuC9R5PTpd76h0DAWsghqR63nNbykU3r9xF4sHfcc/vOVDjxarTTgyromDksHgnZ\nX19TMMX7uTT7ONvMvAN2KSfUbxdDtqRbPC2p+muZkHvyoWGH1KukFffny/Ev3SiTJle2GKDBWika\ndWahT79NJmqZcsjNsETELI9spFEM31HPyAumtewTCe7+XgRrYe0ryWlSH82DnueL0ayMZKIt6/hI\nBh4MbabrblPv1AEq30VnDUPRtU0eC646iUDIxFCw1S+1Mw8vXcfkkb0JhExK8rLYWFXPnYs+o7K2\nkalj+vDCNScTDkcwRzyBYRXxJ0xmgzWBaJ2EjysGdMbndeFvCNGuwEN9MILPado+N5/bjC22zlag\nopwM/o1S1zLmWUHYSkwbyjTWKiX7JY55r94qE+9r34dVs+HUm+SbbOmwt1D0o25b8nHZxdHifR2P\nICYQF3LitXDugxKtzcqXJPfqr+zbUkrWn3hV/FwdLtle2k8MmOMvh9f/jB76qAB1fPXfOI9FlD8i\nfMZfiDi9ZOW3aUlf+p5kbw0Ia+LfN2GdBn7+3U4HJ9AFGAC0B/6rlOqptfYn7qS1ngZMA2Gb/I59\nfi+ybWeAj8prGNG3mRhXE8Szcz0Awex0dKIzO8ATa+DRj4Lc97P9KJ1idylJ1nrLcHB6JOfxAE1h\nam6dNY0o3n0K07O2vO7fWlQsAmF93JSTeLjZ8uInfpgMB1z8CuS3jee0N+wUxCR08v52x1tpRpbH\nNnV98RGSarTk9+JlypivrYR9d9Xs5G39fyueseIuYngmojAleoqT2nPLx9RwSN9n3QWLf4/qOx5y\ntkObowQtJ1UMJwycJHj7iXnxBzCmfrOPsxlTevbuHtmlnGA45RkFdyGfJKLLteDfJNurNwlTM1qe\nVfUmaNtLnpmlExY5lYXI5StFjZiN6/1Z6OMnZL4OrcU4Hb9I/v/gSeg9SsYubcry8Zc1fS8uXiKp\nb6UnpqehODxyfiNm2x9v5b6nrFc6ghmJYDgSnEjN/Dz2B2kOna2qDSalGt17fi+efX8zobDJDfM/\nTCqivm/JGi6ftZJnrzqZVnleapxdyB7/Mk4dwnBmobNbUVUXIqI18y8/EVNrrk9o4+HRfTjU56G6\n0qCDzbMI4mTqmD60K/DQKrseqr6OP7PyFVDxWRxdq6mx2krT0zpexJzoJHG4hNBNOaDoCDlm0P1S\nt+ArTSZ+85XGIw39b5Y2s/JkfFVKkJ/c2VKH43TDxnegQ994ZMOuLSslKnauTvnmt+4uyHiv3S7v\npuFAhxpRHzwZR30qXwFLfs9nZy+gbbsiSlqMh+9N9upOa61/ZvO3O+NhM5A4e24fXZco5cALWuuQ\n1noD8AViUBzw8srqbQD06Vi4mz2/vXhr1mE6sgjZ4HfnuSUK8dyXITbuNG2O/oHEcIi3LlNEwSqW\ntgwIpWRQOkAjEM0tQXchuv9NyXj3/W8i6N47/fK6FNf+vAt3LFzNiGlvc8fC1dQ7m8Ai95WiPcXy\ngZg+SLz20wdJyo6nCNx5yRjzG9+NT3qix3PetKax6CNBWPIH+citfc1+vw+fgsovMrThEy9tTbl8\n5GYPFRKlJ4ZDKCD9p6VOOeAfx8rELdwoRkD/G+VjtuweqP3G/gZ6iuJ58Q/2lt+OJxzUmPpp0sy8\nA3YpJxFPMdr/dZJOav/XKE8RPHCU/GZ6TsoR1/GTr0snp5o7Go6fIG1kug5XtkTVdm6RyX7PYaJv\nlt71HAae4ibuhU+Mca0zpMRFMr6PDJkSr+FJXD94MmrJH4jUphBrtfBApIldqtGNT3/ExNO68Ot5\nH6YVUV8xoHOMmXrNtl2cO/lNut79Pv2nfcmGQA5rKuo4b8pyTr1nKbWN4ZjxYLVxxeyVfFVVjyO3\nFf4hM5KeRf3QWejsVjyzchM7A2GuW1hObU5p8rj1wZOS2mZxLPhK4YvFGVI6jXiUAGLpbQy8E955\nRHR0+tkC47r0TjFiX7ZJORoyRfo47TZYMR38X8fH1pdvEd2dPggm95HfVp1h04pkPgmrrV8+LOc+\nZEq8nqFsFrwzDR46TgjltIacNlA2G7V+Gcb0s+Xbl8Bb4R8yg9yithTn7Ge1nj9y+VauBqXUaK31\nbKXUb+y2a63/1sTh7wFdlFKdEMPhAiAVYek54ELgcaVUKySlaf23Ocf9VV5ZvY02+VlprJPNId6d\n62nMPkQ8aDYy/Ah4vRx+998GZg3Kblb+ie8k7lxBWrITK7XJlVDQ58ppqYGISnZwOyolD1vNG0P2\n+Jcgu/23bi8Y1hTmuHhqwglETI3DUDSGNc+v93LhuH/j1GFU7TcSlna4oKEaFdhhnws+PpoSsX2d\n/K8MQT1aOikO15fdSozBwI74flYUY+N7EhYPB+Mh78EPCYpTKvJN6+4wZyiMWpCclrLzGwhEPVo5\nJek44nOGwbB/2aQ93ZB8LaOegeevFO/X4MmZb2CgKvO9OAgx9W0lUJWBd+DuvbpHhqHoUuLmjcu7\nxHUnsAOV0oey+rDOIdNzMiPw0VOiE0533MtqeTr9GyXtJ1Blz0ly/GXQ4I9DWF79XtPvh929OOuv\nMum6ZkWGlL/GZKSdcx8U9Kdtn0oK3um3pyPSvP5nKF+BGpgCetjMz+PHIJmQmCJa2673eV0xZupU\nw+Prqnr+9PwnplCKewAAIABJREFUsXXZbodtGy6HQU0gQoPRkSNHL8ahQ9Q0Khx5JYx/+G3+dE6P\nWGppxa5Gnh7bFUfieOnKlvQfd46Mj2YEXv5TynO9V+B+7XSqoVpShd4ibqgOvEv06cy/CBjG2BdE\n151eCNXJOFm1Np03x67Wbd4YiU40+OP8KeFGQEmksN9lEtUd+qj08c4jcbhuy8gZvwgCu+D96bFv\nnb7oJcyz7iasXGhXIR29WRjGfjK3OUjk28YqrVEl79t2pLUOK6WuAZYg9Q3/0lp/qpT6M7BCa/1C\ndNuZSqnVCLrTjXtQnL3fS21jmDfXbeeMHm1R+2Dy7q35kkBex4zbW3nh4u4w+eMIN/wnwF2nevA4\n94MXzZWd2SCw1lt8ESAD5AGawtTcolLrD0AG1r2sgXA5FbvqIjRUb8PnNqkOGrRu246RR5o4t38G\nhZ0EvSNxQjXxgwx53BGJLhUfLpMhi7zKvzGeb+0rhTHPiTFi7WeF1YfPlPVmGC5eLAaA0wOlxyen\ndAyeHM9dnzNUPjKJmOQTP5Bfh9P+PL2+OBeE5VlzepL30aZ4o72FEoJXGeqImoIHbRERbdrn3J91\n17dqxoLDzHdFcO/4Im5I+0rRF70URWS5JllPLOdKU8/JnQO9LkhGRrI4FKwCTcMpbXU5PX0/ZcSJ\nvUB0OFM9gtYZ6g/+Ej02AW3JEl+ptJmadjdyvqzzlYqO9r9JDJpEzhRfKdqR4p3dHe/FQSiZkJgM\npRjYo4QJffJpna2oqNdMW7mT+mCER8b2xaFIMw5SDQarEDu1bX9DCJ/XxbCpwgfRu4OPGwZ25ZAs\nM2akJB5j1G5NRj0aMTtey2AZp3bP9cw/2+vUzs3JxIP+jVJDdNqtgppkIedZSHpJqF0zpcB5d/UX\nhhOeuVj+v3gJ/Gtg+s2/eIkcn8r1Y9V8PHdl0vuotMZRWIoDaN6q0hbZU/lWKUxa66nR39vt/vbg\n+H9rrY/UWnfWWt8ZXXdL1HhAi/xGa91Da91Ta/3U3lzU/ibL1lQSimj67oP0JSPcQFbdFoI57Zrc\n7+zDYExXWLA2xJnza3lz836ADuNuIqKQWgMB0ZSnXfv+vA4A0YkoRZb4SveoBiIcNtnib2Crv57N\n1fVsrKojHDZpVfclPV8aSocZ/ej50lBKqMYZqpWDardJIepZ90h+OMRzqFPOAcMh6UcWClPGj0rK\nftb6+WPjRfSRsISxt6xK3++Fa+IwqV0HSVRj/CL5oHYdFEdyynSe1RvsU0SsNk6cKIWwVprYousF\nxcS0SQXMeC8O3HzyZheLyyNRfKWZjTIbseAwz5uyHHegKj0Kp8301KMXrpEJOzT9nMLB5LSh3Nby\n/IdMEZ6F4TOitQw6cx/+jfJ+jJgd51lIu14j83lYho5h2KcoWYaFta5sNnz2QnwyZ6XaHXdx0n7h\nsidQFqeOJS06mybFOW6mju6TlBb38Og+gMlDp3vp88pwOszoR59XhvPQWYX89JAIR3r8FFHDwB7J\nyD/1wUhSxsHDS9dx7/m9dovydMWAztz8zEdETB0zMKxtfxxQgrKMB4in1vW/WZYbqpNRlCzxlUpa\n3fCU1KbBkyWFSJuis+MXia437hJI4Oeu2E10YWy8b6v/THptHZeI1pe4T3axnKPdtobq+Ht28nWy\nroVp+geXvaqBUEp1Ukr9TSm1QCn1gvXX3Cf3Y5FXVn9DnsfJkW2+deBmt5Jd/TkKTSBn92krFxwJ\nd50I4Yhm5MJ6pn/yA8O7NmlAWBGIxBQmb7Q4skUaPK3QKfnLumwWDZ6mGc7DYZPPt+3ithc+Yf32\nekZMe5tT711KvlmTBiNoaC0FcYuuj0+gQ/XimfKVojPlUNdtT/b0RkKZJ44ZPcJh8YxZE7pMRojD\nJR+9024Rj3C0HoT+N4EnTwoBDWd6Hm/ZTIFCTG0vEoq30et8SbtK/VjXp+SSg5xH6sd5+EyZ8LWI\niFK2+flppIFNSFKOuh2SkTWJTxTL6w/gKcyQ91+YHNWziqgXXQ8P9YvqfoMYFJl0VkfEcP35LaI/\nGa/XAE+B/XlseEOWI+EMkLIkr1PAMaMlyvfvGyRCt2aRnMug+9ETP2DdkOfY6jmcLTsbqdzViGmR\nTSpHhvPbj9D6vmcxDEVJXhZ3DDmKZ686idmXHM+Dr31B3Y5vkmGzc1vjrPsG1+Nn4vh7T1yPn8GU\n070xI6J9oZfCHBf3Dz86NvmvrG3E63Zw3/CjWXrDAJ687ARmvLmBVZv8PLNyE/+MGi5WxOGR/65n\nyqhjeWblJiYNE8MjI9dEUed4bYyvY7rxOXK+6J1SwnZ++RsxaGJOu0WcLYmOEqWiwAMJfWUagws7\npddkpOpUsDZ+jIXWl6r7yx+Adx9Jfy8GT5ZtVn+JbOot8oPK3roankPI5F4EbNxxLWJJKGLy+ucV\n9O7gw7EP8vPyK94DoN7XdY/2P7oVTO4P970Pty0PUORRDD5ib5F7vqO4c6DaZjIG9ilMTq/k0rcI\n9SHF2mA7eo1/CWWG0IaLj/xuDg0pcjz2x5imZtuuAFfMXpmUVwsZYGG1aVvIqccv4v0z5nNsoEqI\nqRJrD4J1MOUEuO7jeLjccNgTdEHTxF6u7Pj6TMgiFavlwzdkSjyUnphrXtJNJpXeQvmIBncJ7GE4\nIHUNiWJFT6xrnRudmCWmAvg3iqc6VSJB+GSBfV58i4hoUyYsibnZ70yN1yfsgSTlqNsxKStlqyda\nKSLXrMJRXylkgCk6q+ork9uzK6J+7goYvwiNQtnponKgB96Jmjk4nhZld719xwu85cfPpNcf9B0v\n7TXuikdNYvdPi/c2Eb7VVxpPW0lct+sbcGShlvwBX78bqAgUc/aDy2lf6OWRsX3p2iYPpTOc39kp\nhvVBJlpr3E4Df32Ia59cRUluFp2Kvcn3yVOQNjY65o3kwfEv88FPO+NvCHH7C8KR+/j446hpCFFV\nF+T2F1azapOf9oVe5l9+Irec+xP+OKgHLoeBw4C7h/aknc9L+0Iv81aWA3DjwG54XAZzJ5xAMTX2\n42BdZXzscecKXPGYZ8UYNJxyzs9dmZz25OsoUQV3TnqN2Lyx0l5iXxnRnRyyb6he+raiuOHG+Dh4\n+CnxYyzm6HGLBHTDcEsbp1wvY4SnMH4t1RviKYRWf4ls6i3yg8rePoGA1vpBrfV/tNbLrL9mPbMf\niby3YQc7A2H6dtw3yBZ5296lMacdkayCPT4mywE394EeRXDzsga+qvmBbEBXEzUNjTsBFYd7BSH/\naqy13/8gk+IcN1lZHk6d+gWd7lnNqVO/ICvLkxGFIhw2Ka+uJ2Rq/nROD9oVeJLyarfUmulRgkyY\n8qbJsFnr5Nns2hxFvDlGfuu2i/c21BD3JCkjmbjIKtCziLdsieScyaF4O6+V5Zmy0o9Ovi75PFHC\nATD9FzD1FPlIBuvFS+YphBFz7KMniW3kpHi5MoXOPcWZEXdaRMSdL5GhBOQw+t8k6/e0iWiOOkCD\nsiFq8xTbevaVpxDn5N4oV7Y841SddWUnRwUyeFu1NkU3M+isiu4HCG9D6vUef7lEvuaOlsLVuaNl\n29zRYqgWd4nmgvvgjfujxabI7xv3g//rtHOKQR3//BaJgJTNkonY63+GNYsofnEcbZ0ybpZXN3DZ\nzBVU1QXF2Dr+8vTz219ANn4gMQyD/67ZxhGtc7l/+NE8eMHROBu2J9+nrDxxWEA8Ze2X/8RNiH/9\nbx2Xz1rJqk1+Vm3yU9MQ4vyH34qtA3kOm/0N/HTSfxj56Dv4G0KEI5rfLviYiU+uikUc5q0s56Lp\n71HTEGbmmxuoMfIJDZ+TPg6+/AeYcryMPf/5izjbZp0H2z6Bys/ihf0Qd464suVaIo3243y4IXnM\ntYsuDJkihKBPDBej9/kr4YkyOT5xHEyMUvhK4aRro0X+fokk/q0bzBwCjXXwvwfkWl65VcZfy9Hj\nK5XIQ4vxsN/I3kYg/q6UuhV4mT0nkjsoZfGn35DlNOjZfs8n+HsqKhIkv+I9drbuu/udU8RpwM3H\nwlXL4KZlDTx17g+AzmSlMGmd/tEK1Ej0IRFZyuVNDoUexGKRHj171ckEwxHcTgfFOW5bFArT1Kyp\n2MXls1bG8McfGnksZ/ZozcurZXC+bmE5c4bOIntBQkGqw23raa3XErHS4SAqlU33+avE8xWsh5xW\nEi5Xyp5zoa5SUnzsiOSGPSY1DVbkwvJaWVjjFZ8le6asNKfE9sOB9AiKhehRt13YThNJvnREtie2\nkds67nXzlYrRYRM61+F6lIUwYnm2PYWyPoY9cXDLTu0mP68tKuEeaYebndrNno6OFnTrZTNXMGr2\nGuZf2AFnwjPUjTWooi5pz4G7oymekUZ7eNTxi6KkccG4Rz9DlIFIo63OqmGPJXMr/CdajDx+kSwn\nICIB9sapwxUlinMIfLD1flle46WT0o/ZuSVZt5++KN5H9BqDjXFngQU7ivruEaEfoxR6XZx7THsu\nfORtyqsbePGiI+nwUkrdwbyxkkK2bJIYbtFolfKV8lDZE1xNCUtWV0raUV6WbfF0VZ1EMi2jbsGV\nJ3Hv+b248emPuG/JGu4YchQdi7PJchr4G0JMfeMrTjmyNf/7wsHVoxeTpcI4DAPH4puTn/eG/6JP\nu1XeM2XIOGhnIICM1ZkK9mvKxUFjIeflt5PrPfdBiQLUbpP9Tr89XbcT+5k3BkY/C2OfA1QUiMAJ\nNV9L9MHhhIkfoA2nwH8ffxlm34sJqSwiDheuMQvRZgTl8uJuIYnbr2RvDYiewBiEOM5yXzcHkdyP\nSiKm5qWPv+HoDj48rubPKy3e+BLO0C52lXx7AwIEnenSHvD3DyPMWR1izE++53xtd45M2oJ1kJWb\nvC1QIxGKRHFli1faNFsGEcAMNtIqUilh4IiTSLAEw5Oev1RVF4wZDyAfrKufeJ8FV53ILefqGGyr\n8hqYCSlRjZ5WZF20RNitdQSUA9NwsbUxl1d/0x9t7hDm0sP7xyEF1y+T9Inpg+C3G+U5mhG49DWZ\noJmRaGqGlgiH4YKfDIe2PcVrWtBeli14wkijfOQ0Mhlc8gcJu1uoTpb4SoW46JoV0r7DLbUKthGU\niHjEtCmQhGZYziNUn+ztGjJFPGSD7pdw//Yv5ENqo3u1Rh55REg03zQGtUYee+5f/3FL0HQQcflw\nRKy0RUXE5SMY2nPHhWEourRKgG51Z6PDToFXNZyQFIm1UoASnleoATqdKky5ifC94QAs/7tMlgI1\nYpCMmBP33PpKYdhjaGXIM85pk3xiOW1k0u/ySvpFzcaE6KmKp49Y4iuVCdnV78UNWEcWfPAErF0i\n+PipTNQb3oABN8O2j+PnNPQR8T6DREjMCCr13HyllO+Mo4G1L/TidjpAeeEX90Z5JyLy/vzi2IO+\nbmdHfZArZq+MMUd3LrJH0zILO2P0vzkt1c0ZTWXyD+mJqcFQMP2i49i0o4Fst4P6YIQORV5e+mgr\n9ww9iv5dW2MYilDYpGNxNnOjUNpOh0GOS+EJVdMmR7P+t0ejVJCTS6LMzlqBMtBnT0Kddot8Tw0n\nWssYq1FS05XBEYQzK4oSp2DU0zDn/GRj9aOnZV9nVjTaomS837VVdMaKKLw1RcZky5D44Mk4KRzI\nsc6s6DjrEF3WJhQfGQfKMFzgypIUU+XAcECW2Sh66ckh2NhA0F2Iu75SjHynWxw5LfOAH1T21oAY\nDhyutf6Bq3D3b1nx1Q4qaxu5oF/zs08rM0S7T6fRmH0Ita2O3ut2zugAb2yBv74dYECpkw553+ML\naRUFBmpsDIidyQhMEEfcCdbG4TsPUgkHAjh2fJ4EYekom0W4qBvOFCPCDtv8pMOL2bYzyJXRD+XA\nHiU8dLoXI1ooqHylZF20BFVXkQTbp8pmsaPBwW+e/pQ3JvaRiX8iBGvZLJmc37gWdmyQYzudCsdd\nmuxNLZslLKeuvDixV+K2rEKo2QJ5h4ih4c4Tneg7Xibxw2fESZGsYxb/TtJArOWCDvaetaq1whZc\n1AkeiZ+7LpuNKpspBm2oXvpZNUcgO5+/Cmor0Je8it10N9sAdqxNgTicRXZRt2Z/9geqFLq0rc4W\nfot7FA4HcFRG28htLWRWCbU1+oq30TvWJvVB2Sz47Ra4u51EtY67NBmCtWwmeIth4D3Jz7DrIMG/\nDwegZhNk5WMEa9F57W3gLKMEbKtmwWEnSiGqtW34DDEILEQbK5IVrE85j1nQ9xKJXBgueybq/EPF\noLWcKYmoa75SVNVadP+bREej70K47AmmvSqpolYNRHGOG4LZAlSQeh1FPwru1r2ScNikPhiJGQ83\nDOzKuh3V9LQZRxoNL57iI1F2xkWokfU767jx6Y8oyc3ilnN7xDgh2hd6+b+yoxnW91Dqgib+hiDB\nsOYfr69l3EmdYrVpt5/TlVGHN+Bc9ldJLXtnqv1vImTxedNQ2cVSK/jshLgel81MHn+Hz4SXbo6P\nl8MehYv+DTWbJTK8dBKc9idJP0rUD4u5uv+N8NodkF2YHikrmwnvPSr3on1fOOMvcSjYpDZuho+f\nFtjW6LeFj5+R8TbxmspmkbV9He5WnZPP5YInoXWPFiPiB5S9vfOfAL7mPJEfo7z0yTe4HQa9OzQ/\nfGv7D/9OTvVnVBwxPCOB3J6IUnBtL/HV/W5ZAzq1cG9fioWwZMcuHfCnGxAuy4Co27fndQCII1Bp\nSyTnCKQXpSul0ggMJ/TvHDMeACb0yU9GGfFvxDBDtn0cVxyU4xp32pMGNe4Upmdr24nXxj8wifuF\nGzOT0QWqIL+tTKAmHyce5ifOlwLSaQPgpRtlIjXxA0nbWHZPvNjZaiMSTs9VHzxZwvDzxojhmnRt\nowVKECSN5LU/Q79LJTRfW4F/yAz8hn2yzbd5HgerNMc9ctQmtHHydWnpSMoG2jWmTyCT7jRdHCvr\nU0nm1iyCmYNlHJozXCb7Tk8TOrsDup0Vx+i3ts0fJ57UgXdJfcP4RfbkhvPGyHlMXCXRFLtUq1BA\nzmX6IPl9enwc1jKq22reGCJnT2LTuHdZecZ87ltlcMPA7sydcAJ3DDmKNvlRwq2mruMglYraRsJR\n+FQLTvWWV7+h6txkluhd581kOwUEjaz02jFfKYYrixufFkPgigGdufbJVUkR4F/P+5CIqSjf0YDD\ncHDlnPcZ1qdDErBFWY9sGZOPuVAm1Jl+E5/fsxPkf8t4ANHjZfeK3l28RCJk/703ebx85lJJC/3X\nwHg9Ts2mdP2w+p03Vn6PPMv+feoxRJb735x8LkltjIbeoxKOGyPLqdc0bwyUHpf+Xj91oT0iXot8\nb7K3EQgf8LlS6j2SayAGN8tZ/QjENDX//ngrR3cowOtu3vSl/K3LOfSTf1LdbgA725zwndtrnS1E\ncw99HGHu5yEu6N68IWytNY0R0snrEiMQqRLw26QwJUQgDnaxg7D0b5T11i6mZntdI6CZNKxX7OPU\nvtCLy6GSohK28IC6CYjV3Z5DApym4bDfT0cklJ0pzSixjdS+ylfIBGriB7ItlTTJv1GMDnTmHPRU\nkjer3wQyOj3wTirOfpRyfyN/+Xclk0eaFNqVNOzB8zjopTnuUWIbdoXOGfrQZgR13SdoM2zrMY6d\nQ0ZdJEFnm3ovMsDIKiNeAzRxVdP34sHeso/t9lD6upJuYpwk6LZpmpwy9cvYbj/r3pYR04SobPnN\nPxNK2BadTZNQxKQhGGbSsF5kOQ3Kqxsor27g0sXwxzPm0zpb4cvLZezc9TxwAewgH/e5Myh+MR4N\nrTp3BkHyY+NruwIPfzqnBz6vC39DiIeXrmPVJj8Rrcl2OzBUnNU6cUx2EoUVtvQ802+i+DeKVzB1\n/ZpFQlL4r4EyHtqNl4mAJZCMgpe4X2L/1rrUfXwd44ZyU20YjuT1mb4VmaCT7RDxWuR7k711Xd8K\nnAfcBdyf8NciUVm5sZqKXY0c36mZUVi05rAVdxLMbsPWbmObrdmzOkKvVnDHWwE+r2o+9twttSYX\nvlhP98d2ccXL9QTCCREOa8CyNSBsUpgsA6KFTG63JFAW4dbQKW/y8eadzHhzA386pwdzJ5zA3UN7\n4jSSoxIV9Tq9vUzEXxbRVFNEconbzEjmdjKRbaW2sad9pW6bca4sP3elTOAS4QANh/0xCcsqEsIZ\nqOYvSyuprA1J7ridtJBy7V6a4x4ltmFHWtVUH74OTW9vShet/5sigTOcmbdZOeG7bcMhE6+mtqeu\nq96Qptum4eb16/vzyq9P5fJTDsPfIIZHrP5hd/fqIBWXw2B7bZAZb26gwOuKjZGrNu1k2Kx1XDhv\nMx9WuynJ8+A0FKZW/H55mJVnzI9FfH6/PIypZXwt69MepRR3LFzNiGlvc8fC1dwwsCtn9miNQynq\ngxFMTRphHEAYV1x3mvpNFF+p1NNkfAeaOC5Un7wuEyFdYv+Z2vJ/LY6Y7V803UaiE8dazqT3dutb\nyOR+UNkrAyIRutUOxlUp9VbzneKBKQve34zbadC7tHkzvQq2vkGO/3MqO/0S7cgA+L8XYij49dHg\ndcDIhfWs+Oa7e6FCEc2VL9fzUWWEM0th8YYwU1Y1xnewUpjsDIjGnckkctASgUiQiKfElkgu4hFk\nF4twqyQ3ixy3g5vP7o7bYfDMynLyPE5QOkZcBDBt5U7CIxcIC2mUjdR0eu37cGXz4fVH256D5IIX\nS82Cte2tf6TD/5XNBDOCzgC7iacYdn4jOegXL5EPi91+65dB5Vrb89SeYrkemz5kuy/pevXI+dJn\nYvurn6P4xXH8+fS28dzxvXgeLdI89yiSm9DG8gfSUtS0p9i2DzxF6B0b5NdWF4oyQsCyfln8/+3r\nMuqs9hTBZ/9O3zZkSpTgK9rG54ulYDqT3oPUU9htd+cmrxsxR7y9CevCZU8w8YVN/Pz+ZVw0/T3O\nOaY9X2zdmVz/0EzP48cm2W6Dw0uy+e3Z3QlGTB4aeWwSc/TU0X3o0jqXW87twRZ/gLBpcs1pXfnV\nwi2cMvVLfrVwC9ec1pXVW2p4aGRvrhjQOVaQDRJpuPmZj/jt2d1xOKB9kZeIGeGfKYRxAPNW1xMu\ne0KKki3GaLvfRH04b5r8f960dB1USpjLMx1XUJq8zluc3o7Vb9lM+bV5Bzn/8Xhbyx9ooo3ZUmNm\nrS+bJct2JHMb30v/1rSQyf3govZFzrtSapXWunezN2wjffv21StWrNj9jt+j1AfDHHfnq/QpLeTK\nAUc0a9td3vgVvs3L+OLUyQJ71syyuRZufRcqG+CWEz2M+YkLtZfwrn99O8DUD4P8tg+c0g7ufR+W\nb4XlI3NpnWMIws280fCL+6BfAuGWacKfi6BXGfQeE19f9SUsvE4Gjm6/2NtL/MFBzptDZyt2BvC5\nwRWojCEghTwl+IPQOt/D5up6rnliFTcM7JqUujR1TB/CEZOrn1jFxJ915qQuJURMTbbLoLjuS4y5\nI2OheHPEE0Q8hbjC9XGkGHSsoDg8diGO7FaoQFUUMtMJHh88fJK0MWoBlHSRbe4cqV0xw3Hkmw3/\nRV/8MsrhjqIhRWE3XTng8ED1l/F8cl8pjF0oBXMW4pPHJzmw2oScQySHPQbdWYzetQXl3yCRrra9\nJbfbQgLxFEP1eki4XkbMEXx36xxXzYlh9Ud+9TGqoIMtTC4ApokONiTcCwfaU4xye5ujyO9HobPN\nco92bYNvPonrVVZ+FJktHGsPM4gK7or34c5DPX+1pG2cOBF9wpXCOh1FFtOGCxUJwHuPQ//fJuiR\nU/ShYYdEDT5fDN1/IbpjBgUxxtI3dx48fzXUbYNB/ye6qSOCPoOSQuyobutQvXBGbFsdvw7DAZVr\nBYlm+iDRx8v/J44US2fdUd6cSCiKZqNgyR+lz/43o4s6s6XeYAcF3PLCZzHOgfaFXuZOOCEN6rli\nZwNFbiU1KNF3KuIpYUdQ0zrf28RD2CM5IHV2W00Dm/0BJj4lNQtn9mjNHwb1YGcgzPZdjbTKdfOP\n19dyyU8Px1CKR95Yx+9+0Q2n4cDUGkMpnA4IRzSg2LYzwJ2LPuOKAZ2TUpj+fuExFHidgCYQ1DEU\nJqLDbERrnIZBtkvhDVXjUGDoCEoZUb01YvqLNqNIXQ6U4ZD1hkvAJyzdMVxRhnEdT7XTZhzR0HCJ\nPkXCguqnjHikLNwo+1oISijR61CUDd7hgUhA/leGbMvKjyLwhcHpEf4UMxRvVwPubFSwNnruTrQr\nS2p8rGuz3kGXF8KNRHJKcAaq9yUK0w+uswea7KtY5fdYibv/ycIPt1LXGOFn3Vo3a7vKDOHbvJRd\nJX32ifEAcGguPHCKMFXfsjzAaxtD3HWKl0O/JTrTsk1hpn4Y5KxSMR4ARnSBpZvh3xvCjD/KnbkG\nIlgL6KZRmA5yMbVm5eY6bnx6bcw4uPd8L51ayT1zOx1MPK1LUlFeeXUDl89ayR1DjqK8uoGbFnwC\nyATj9cu7x40HkCLquSMxBt2fznw78C6YOxqnwwFb348Xe46aH0efAZgzNDrxf0EmQv/ok3YdSilh\nk05lqS4+Ir0YdeY5Ujg9Z3jcM+XrKCkcjbXJCB0jZsvXIBENZ8gUxAC6WvgpUq6XuaPgl/+MT+AG\nTxa0L18pDleWhOkyScMOVMVnSdehhkyB1t2FD6NF0MFa1I71aaheuuhw1B6iqmkzjHI45RnZoHsp\niyshIcdb+UoFu37NIuh3KerxgUn51MpXChe9JORWNkhauHNhctQf1nUgNPrh8bOSc7J9pVKcWrst\nGfo18XwSdTsckPcjVa5+V379G2HqT2PvGpD8fo2YnQxlPGc4yldK4eiFjHjsA+4e2pO6YCQ2aVUK\nSvKykroKRjQD/v5WGj/BUxO+e13dgSqmJmY8ALy8uoLVW3fxp3N6cPmslbQv9HL30J5cP/9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kNKvrkeMVverVQvrhkWg2HUfEELS+jfMXck2Re9zKKLj8Sjajn0pCJaO3by1pVd2FJr8pellaza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b9zhTlzGfnq7udab3Jk9mnTTdmWblcfdmROX/G1bD1AXy/yGov7int1nFLhKPpA2o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\n67XNm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Bt3Si45FKxjkRBw7dFwVAncuDjAqxt3EWE9t1QxMW3/eLfu37qAeKc6Sl+fWjwA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\nHh9i2VPsFbWRnEKhUCgUCoVCcRAghDgT+A8p5fkHui6doVYgFAqFQ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ffr8BS45M/POB7h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QQyARw9skivAPnpPSXmjIPGJFXVLKYtULeGpdSwIDkd4HqmskHapwJn/rLDqlqW6JEbBp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i/d3vdgY/dgYVTYH3hts6n7dmG3FkkV9EdH9aLGHzItTmaNKSDDpZLlcaaUqQxqOgiNPRV+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\nAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "C8dilaTQs6IW",
"colab_type": "code",
"outputId": "fdc0ea5e-bd48-4a83-a0fb-fb94f33dd17d",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 502
}
},
"source": [
"# Distribution of the token_sort_ratio\n",
"plt.figure(figsize=(10, 8))\n",
"\n",
"plt.subplot(1,2,1)\n",
"sns.violinplot(x = 'is_duplicate', y = 'token_sort_ratio', data = X_train[0:] , )\n",
"\n",
"plt.subplot(1,2,2)\n",
"sns.distplot(X_train[X_train['is_duplicate'] == 1.0]['token_sort_ratio'][0:] , label = \"1\", color = 'red')\n",
"sns.distplot(X_train[X_train['is_duplicate'] == 0.0]['token_sort_ratio'][0:] , label = \"0\" , color = 'blue' )\n",
"plt.show()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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DdDhCCDsFArB3L1x3HXz847B4Mbz9Nsg6VOMkQUsizz77LMFQCP/c6+J7YuVgbO61nG5u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\nnqA555xzzqWMJ2jOOeeccynz/3dImy/i7uTLAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "0oxjfCSqs6Ib",
"colab_type": "code",
"outputId": "a256dc4a-cf29-411a-ffc9-c41c498393b8",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 501
}
},
"source": [
"plt.figure(figsize=(10, 8))\n",
"\n",
"plt.subplot(1,2,1)\n",
"sns.violinplot(x = 'is_duplicate', y = 'fuzz_ratio', data = X_train[0:] , )\n",
"\n",
"plt.subplot(1,2,2)\n",
"sns.distplot(X_train[X_train['is_duplicate'] == 1.0]['fuzz_ratio'][0:] , label = \"1\", color = 'red')\n",
"sns.distplot(X_train[X_train['is_duplicate'] == 0.0]['fuzz_ratio'][0:] , label = \"0\" , color = 'blue' )\n",
"plt.show()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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4lCdAMXDAUH1JlRjli9n0mKehYv48DmbYgemHDh2it6+faXkS0FJhUm4Urwdq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\n",
"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "MIyYxG4Ts6If",
"colab_type": "text"
},
"source": [
"3.5.2 Visualization "
]
},
{
"cell_type": "code",
"metadata": {
"id": "0QhZBdx1s6Ig",
"colab_type": "code",
"colab": {}
},
"source": [
"# Using TSNE for Dimentionality reduction for 15 Features(Generated after cleaning the data) to 3 dimention\n",
"\n",
"from sklearn.preprocessing import MinMaxScaler\n",
"\n",
"X_trainp_subsampled = X_train[0:5000]\n",
"X = MinMaxScaler().fit_transform(X_trainp_subsampled[['cwc_min', 'cwc_max', 'csc_min', 'csc_max' , 'ctc_min' , 'ctc_max' , 'last_word_eq', 'first_word_eq' , 'abs_len_diff' , 'mean_len' , 'token_set_ratio' , 'token_sort_ratio' , 'fuzz_ratio' , 'fuzz_partial_ratio' , 'longest_substr_ratio']])\n",
"y = X_trainp_subsampled['is_duplicate'].values"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "7Agv3hmXs6Ij",
"colab_type": "code",
"outputId": "0c0e2388-ab74-45b7-be5a-0213320bd100",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 561
}
},
"source": [
"tsne2d = TSNE(\n",
" n_components=2,\n",
" init='random', # pca\n",
" random_state=101,\n",
" method='barnes_hut',\n",
" n_iter=1000,\n",
" verbose=2,\n",
" angle=0.5\n",
").fit_transform(X)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"[t-SNE] Computing 91 nearest neighbors...\n",
"[t-SNE] Indexed 5000 samples in 0.025s...\n",
"[t-SNE] Computed neighbors for 5000 samples in 0.438s...\n",
"[t-SNE] Computed conditional probabilities for sample 1000 / 5000\n",
"[t-SNE] Computed conditional probabilities for sample 2000 / 5000\n",
"[t-SNE] Computed conditional probabilities for sample 3000 / 5000\n",
"[t-SNE] Computed conditional probabilities for sample 4000 / 5000\n",
"[t-SNE] Computed conditional probabilities for sample 5000 / 5000\n",
"[t-SNE] Mean sigma: 0.138864\n",
"[t-SNE] Computed conditional probabilities in 0.306s\n",
"[t-SNE] Iteration 50: error = 80.9635162, gradient norm = 0.0418726 (50 iterations in 2.776s)\n",
"[t-SNE] Iteration 100: error = 70.6095810, gradient norm = 0.0121856 (50 iterations in 1.885s)\n",
"[t-SNE] Iteration 150: error = 68.8774948, gradient norm = 0.0057241 (50 iterations in 1.751s)\n",
"[t-SNE] Iteration 200: error = 68.1385345, gradient norm = 0.0037310 (50 iterations in 1.779s)\n",
"[t-SNE] Iteration 250: error = 67.7121658, gradient norm = 0.0037579 (50 iterations in 1.776s)\n",
"[t-SNE] KL divergence after 250 iterations with early exaggeration: 67.712166\n",
"[t-SNE] Iteration 300: error = 1.7984626, gradient norm = 0.0012046 (50 iterations in 1.838s)\n",
"[t-SNE] Iteration 350: error = 1.4062829, gradient norm = 0.0004809 (50 iterations in 1.900s)\n",
"[t-SNE] Iteration 400: error = 1.2428937, gradient norm = 0.0002774 (50 iterations in 1.877s)\n",
"[t-SNE] Iteration 450: error = 1.1549420, gradient norm = 0.0001883 (50 iterations in 1.876s)\n",
"[t-SNE] Iteration 500: error = 1.1012262, gradient norm = 0.0001429 (50 iterations in 1.899s)\n",
"[t-SNE] Iteration 550: error = 1.0672253, gradient norm = 0.0001188 (50 iterations in 1.880s)\n",
"[t-SNE] Iteration 600: error = 1.0446147, gradient norm = 0.0001088 (50 iterations in 1.902s)\n",
"[t-SNE] Iteration 650: error = 1.0294924, gradient norm = 0.0000967 (50 iterations in 1.901s)\n",
"[t-SNE] Iteration 700: error = 1.0191708, gradient norm = 0.0000847 (50 iterations in 1.917s)\n",
"[t-SNE] Iteration 750: error = 1.0112816, gradient norm = 0.0000823 (50 iterations in 1.943s)\n",
"[t-SNE] Iteration 800: error = 1.0050118, gradient norm = 0.0000816 (50 iterations in 1.977s)\n",
"[t-SNE] Iteration 850: error = 1.0003502, gradient norm = 0.0000795 (50 iterations in 1.912s)\n",
"[t-SNE] Iteration 900: error = 0.9965533, gradient norm = 0.0000753 (50 iterations in 1.914s)\n",
"[t-SNE] Iteration 950: error = 0.9932551, gradient norm = 0.0000722 (50 iterations in 1.901s)\n",
"[t-SNE] Iteration 1000: error = 0.9902268, gradient norm = 0.0000671 (50 iterations in 1.884s)\n",
"[t-SNE] KL divergence after 1000 iterations: 0.990227\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "qhTHOhWns6Io",
"colab_type": "code",
"outputId": "ef0ac987-3dca-42d1-a692-a327fbd1da2a",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 598
}
},
"source": [
"df = pd.DataFrame({'x':tsne2d[:,0], 'y':tsne2d[:,1] ,'label':y})\n",
"\n",
"# draw the plot in appropriate place in the grid\n",
"sns.lmplot(data=df, x='x', y='y', hue='label', fit_reg=False, size=8,palette=\"Set1\",markers=['s','o'])\n",
"plt.title(\"perplexity : {} and max_iter : {}\".format(30, 1000))\n",
"plt.show()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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eTqa+hVwsiWuDcHSUG5v5mVXQmB3BtYa6Qpam/CiZxiVsvfwXwHHomNcZFEU5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\nz0IQ1T4fX7eCf7itkxZ/lL5ILQZ7ES5dUY2u1H0Zw0Nnr2bxwBGWH9mFd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RQAACAASURB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\nJM7uxafx1+0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CTyuSQZGCGyXhF1mc3cd7R57n3Od/yikDu/n7Sz+MMSCNQSMQEprjXp0E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"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "nxFBfJNos6Iv",
"colab_type": "code",
"outputId": "59d0ed37-f86a-43d3-d8b2-cc9dbd0011ab",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 561
}
},
"source": [
"from sklearn.manifold import TSNE\n",
"tsne3d = TSNE(\n",
" n_components=3,\n",
" init='random', # pca\n",
" random_state=101,\n",
" method='barnes_hut',\n",
" n_iter=1000,\n",
" verbose=2,\n",
" angle=0.5\n",
").fit_transform(X)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"[t-SNE] Computing 91 nearest neighbors...\n",
"[t-SNE] Indexed 5000 samples in 0.019s...\n",
"[t-SNE] Computed neighbors for 5000 samples in 0.437s...\n",
"[t-SNE] Computed conditional probabilities for sample 1000 / 5000\n",
"[t-SNE] Computed conditional probabilities for sample 2000 / 5000\n",
"[t-SNE] Computed conditional probabilities for sample 3000 / 5000\n",
"[t-SNE] Computed conditional probabilities for sample 4000 / 5000\n",
"[t-SNE] Computed conditional probabilities for sample 5000 / 5000\n",
"[t-SNE] Mean sigma: 0.138864\n",
"[t-SNE] Computed conditional probabilities in 0.292s\n",
"[t-SNE] Iteration 50: error = 81.5270157, gradient norm = 0.0352745 (50 iterations in 11.530s)\n",
"[t-SNE] Iteration 100: error = 69.6421280, gradient norm = 0.0034818 (50 iterations in 6.108s)\n",
"[t-SNE] Iteration 150: error = 68.3586655, gradient norm = 0.0017799 (50 iterations in 5.151s)\n",
"[t-SNE] Iteration 200: error = 67.7689056, gradient norm = 0.0011547 (50 iterations in 5.504s)\n",
"[t-SNE] Iteration 250: error = 67.4351501, gradient norm = 0.0009449 (50 iterations in 5.696s)\n",
"[t-SNE] KL divergence after 250 iterations with early exaggeration: 67.435150\n",
"[t-SNE] Iteration 300: error = 1.5505812, gradient norm = 0.0007420 (50 iterations in 7.915s)\n",
"[t-SNE] Iteration 350: error = 1.2073249, gradient norm = 0.0002019 (50 iterations in 9.791s)\n",
"[t-SNE] Iteration 400: error = 1.0615990, gradient norm = 0.0001004 (50 iterations in 9.455s)\n",
"[t-SNE] Iteration 450: error = 0.9877149, gradient norm = 0.0000709 (50 iterations in 9.534s)\n",
"[t-SNE] Iteration 500: error = 0.9476711, gradient norm = 0.0000618 (50 iterations in 9.568s)\n",
"[t-SNE] Iteration 550: error = 0.9255852, gradient norm = 0.0000533 (50 iterations in 9.727s)\n",
"[t-SNE] Iteration 600: error = 0.9111718, gradient norm = 0.0000374 (50 iterations in 9.724s)\n",
"[t-SNE] Iteration 650: error = 0.9011445, gradient norm = 0.0000320 (50 iterations in 9.687s)\n",
"[t-SNE] Iteration 700: error = 0.8930086, gradient norm = 0.0000285 (50 iterations in 9.660s)\n",
"[t-SNE] Iteration 750: error = 0.8859218, gradient norm = 0.0000272 (50 iterations in 9.589s)\n",
"[t-SNE] Iteration 800: error = 0.8800092, gradient norm = 0.0000234 (50 iterations in 9.455s)\n",
"[t-SNE] Iteration 850: error = 0.8747241, gradient norm = 0.0000224 (50 iterations in 9.364s)\n",
"[t-SNE] Iteration 900: error = 0.8700252, gradient norm = 0.0000250 (50 iterations in 9.427s)\n",
"[t-SNE] Iteration 950: error = 0.8659607, gradient norm = 0.0000280 (50 iterations in 9.474s)\n",
"[t-SNE] Iteration 1000: error = 0.8629290, gradient norm = 0.0000268 (50 iterations in 9.553s)\n",
"[t-SNE] KL divergence after 1000 iterations: 0.862929\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "relWYEX5s6Iz",
"colab_type": "code",
"colab": {}
},
"source": [
"trace1 = go.Scatter3d(\n",
" x=tsne3d[:,0],\n",
" y=tsne3d[:,1],\n",
" z=tsne3d[:,2],\n",
" mode='markers',\n",
" marker=dict(\n",
" sizemode='diameter',\n",
" color = y,\n",
" colorscale = 'Portland',\n",
" colorbar = dict(title = 'duplicate'),\n",
" line=dict(color='rgb(255, 255, 255)'),\n",
" opacity=0.75\n",
" )\n",
")\n",
"\n",
"data=[trace1]\n",
"layout=dict(height=800, width=800, title='3d embedding with engineered features')\n",
"fig=dict(data=data, layout=layout)\n",
"py.iplot(fig, filename='3DBubble')"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "MRP-fAQedMTd",
"colab_type": "text"
},
"source": [
" 3.6 Featurizing text data with tfidf weighted word-vectors "
]
},
{
"cell_type": "code",
"metadata": {
"id": "-3IbomL8dMTi",
"colab_type": "code",
"colab": {}
},
"source": [
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import re\n",
"import time\n",
"import warnings\n",
"import numpy as np\n",
"from nltk.corpus import stopwords\n",
"from sklearn.preprocessing import normalize\n",
"from sklearn.feature_extraction.text import CountVectorizer\n",
"from sklearn.feature_extraction.text import TfidfVectorizer\n",
"warnings.filterwarnings(\"ignore\")\n",
"import sys\n",
"import os \n",
"import pandas as pd\n",
"import numpy as np\n",
"from tqdm import tqdm\n",
"\n",
"# exctract word2vec vectors\n",
"# https://github.com/explosion/spaCy/issues/1721\n",
"# http://landinghub.visualstudio.com/visual-cpp-build-tools\n",
"import spacy"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "j5XNgVyLdMT7",
"colab_type": "code",
"colab": {}
},
"source": [
"# # avoid decoding problems\n",
"# df = pd.read_csv(\"drive/My Drive/Quora/train.csv\",nrows=10000)\n",
"# y_true = data['is_duplicate'].values\n",
"# df.drop(['is_duplicate'], axis=1, inplace=True)\n",
"\n",
"# X_train,X_test, y_train, y_test = train_test_split(df, y_true, stratify=y_true, test_size=0.3)\n",
"\n",
"# print(\"Number of data points in train data :\",X_train.shape)\n",
"# print(\"Number of data points in test data :\",X_test.shape)\n"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "NPHCshyoleuc",
"colab_type": "code",
"colab": {}
},
"source": [
"# # encode questions to unicode\n",
"# # https://stackoverflow.com/a/6812069\n",
"# # ----------------- python 2 ---------------------\n",
"# # df['question1'] = df['question1'].apply(lambda x: unicode(str(x),\"utf-8\"))\n",
"# # df['question2'] = df['question2'].apply(lambda x: unicode(str(x),\"utf-8\"))\n",
"# # ----------------- python 3 ---------------------\n",
"# df['question1'] = df['question1'].apply(lambda x: str(x))\n",
"# df['question2'] = df['question2'].apply(lambda x: str(x))"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "Sht7YOXqhvC_",
"colab_type": "code",
"outputId": "1754d001-4433-4588-e38b-840f0dbe1380",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"source": [
"!ls"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"sample_data\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "RU3HqJXwdMUj",
"colab_type": "code",
"outputId": "66dd8553-f4c7-4c00-c1c4-d1e7ea287b76",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 51
}
},
"source": [
"from sklearn.feature_extraction.text import TfidfVectorizer\n",
"from sklearn.feature_extraction.text import CountVectorizer\n",
"# merge texts\n",
"questions = list(df['question1']) + list(df['question2'])\n",
"\n",
"tfidf = TfidfVectorizer(lowercase=False, )\n",
"tfidf.fit_transform(questions)\n",
"\n",
"# dict key:word and value:tf-idf score\n",
"# word2tfidf = dict(zip(tfidf.get_feature_names(), tfidf.idf_))"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<808580x109679 sparse matrix of type ''\n",
"\twith 8146555 stored elements in Compressed Sparse Row format>"
]
},
"metadata": {
"tags": []
},
"execution_count": 5
}
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true,
"id": "2JKI2yT4dMUv",
"colab_type": "text"
},
"source": [
"- After we find TF-IDF scores, we convert each question to a weighted average of word2vec vectors by these scores.\n",
"- here we use a pre-trained GLOVE model which comes free with \"Spacy\". https://spacy.io/usage/vectors-similarity\n",
"- It is trained on Wikipedia and therefore, it is stronger in terms of word semantics. "
]
},
{
"cell_type": "code",
"metadata": {
"id": "tbkViCCcbmS_",
"colab_type": "code",
"outputId": "73debf7c-83bc-47ec-8c04-b6ade7cad729",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 68
}
},
"source": [
"from sklearn.feature_extraction.text import TfidfVectorizer\n",
"\n",
"vectorizer = TfidfVectorizer(min_df=10,ngram_range=(1,4), max_features=5000)\n",
"\n",
"\n",
"# questions_train = list(X_train['question1']) + list(X_train['question2'])\n",
"# questions_cv = list(X_cv['question1']) + list(X_cv['question2'])\n",
"# questions_test = list(X_test['question1']) + list(X_test['question2'])\n",
"\n",
"tfidf_train_q1 = vectorizer.fit_transform(X_train['question1'].values)\n",
"tfidf_cv_q1 = vectorizer.transform(X_cv['question1'].values)\n",
"tfidf_test_q1 = vectorizer.transform(X_test['question1'].values)\n",
"\n",
"feat_tfidf = vectorizer.get_feature_names()\n",
"print(\"Train tfidf \",tfidf_train_q1.shape)\n",
"print(\"CV tfidf\",tfidf_cv_q1.shape)\n",
"print(\"Test tfidf\",tfidf_test_q1.shape)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Train tfidf (44890, 5000)\n",
"CV tfidf (22110, 5000)\n",
"Test tfidf (33000, 5000)\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "sGYPG7aZQJUI",
"colab_type": "code",
"outputId": "d9936148-6ec3-43f9-b179-826b6bf5a4db",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 68
}
},
"source": [
"from sklearn.feature_extraction.text import TfidfVectorizer\n",
"\n",
"vectorizer = TfidfVectorizer(min_df=10,ngram_range=(1,4), max_features=5000)\n",
"\n",
"\n",
"# questions_train = list(X_train['question1']) + list(X_train['question2'])\n",
"# questions_cv = list(X_cv['question1']) + list(X_cv['question2'])\n",
"# questions_test = list(X_test['question1']) + list(X_test['question2'])\n",
"\n",
"tfidf_train_q2 = vectorizer.fit_transform(X_train['question2'].values)\n",
"tfidf_cv_q2 = vectorizer.transform(X_cv['question2'].values)\n",
"tfidf_test_q2 = vectorizer.transform(X_test['question2'].values)\n",
"\n",
"feat_tfidf_q2 = vectorizer.get_feature_names()\n",
"print(\"Train tfidf \",tfidf_train_q2.shape)\n",
"print(\"CV tfidf\",tfidf_cv_q2.shape)\n",
"print(\"Test tfidf\",tfidf_test_q2.shape)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Train tfidf (44890, 5000)\n",
"CV tfidf (22110, 5000)\n",
"Test tfidf (33000, 5000)\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "PFS6m8z5dMUz",
"colab_type": "code",
"outputId": "3c4fb6fd-7f86-4955-8b8f-762b5969ecce",
"colab": {}
},
"source": [
"# en_vectors_web_lg, which includes over 1 million unique vectors.\n",
"nlp = spacy.load('en_core_web_sm')\n",
"\n",
"vecs1 = []\n",
"# https://github.com/noamraph/tqdm\n",
"# tqdm is used to print the progress bar\n",
"for qu1 in tqdm(list(df['question1'])):\n",
" doc1 = nlp(qu1) \n",
" # 384 is the number of dimensions of vectors \n",
" mean_vec1 = np.zeros([len(doc1), len(doc1[0].vector)])\n",
" for word1 in doc1:\n",
" # word2vec\n",
" vec1 = word1.vector\n",
" # fetch df score\n",
" try:\n",
" idf = word2tfidf[str(word1)]\n",
" except:\n",
" idf = 0\n",
" # compute final vec\n",
" mean_vec1 += vec1 * idf\n",
" mean_vec1 = mean_vec1.mean(axis=0)\n",
" vecs1.append(mean_vec1)\n",
"df['q1_feats_m'] = list(vecs1)\n"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"100%|████████████████████████████████████████████████████████████████████████| 404290/404290 [2:13:51<00:00, 50.34it/s]\n"
],
"name": "stderr"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "62GEF-RbdMVB",
"colab_type": "code",
"outputId": "60a4f5f8-5582-4886-befd-2ab6ed99c753",
"colab": {}
},
"source": [
"vecs2 = []\n",
"for qu2 in tqdm(list(df['question2'])):\n",
" doc2 = nlp(qu2) \n",
" mean_vec1 = np.zeros([len(doc1), len(doc2[0].vector)])\n",
" for word2 in doc2:\n",
" # word2vec\n",
" vec2 = word2.vector\n",
" # fetch df score\n",
" try:\n",
" idf = word2tfidf[str(word2)]\n",
" except:\n",
" #print word\n",
" idf = 0\n",
" # compute final vec\n",
" mean_vec2 += vec2 * idf\n",
" mean_vec2 = mean_vec2.mean(axis=0)\n",
" vecs2.append(mean_vec2)\n",
"df['q2_feats_m'] = list(vecs2)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"100%|████████████████████████████████████████████████████████████████████████| 404290/404290 [1:47:52<00:00, 62.46it/s]\n"
],
"name": "stderr"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "a38GBlGWdMVQ",
"colab_type": "code",
"colab": {}
},
"source": [
"#prepro_features_train.csv (Simple Preprocessing Feartures)\n",
"#nlp_features_train.csv (NLP Features)\n",
"if os.path.isfile('nlp_features_train.csv'):\n",
" dfnlp = pd.read_csv(\"nlp_features_train.csv\",encoding='latin-1')\n",
"else:\n",
" print(\"download nlp_features_train.csv from drive or run previous notebook\")\n",
"\n",
"if os.path.isfile('df_fe_without_preprocessing_train.csv'):\n",
" dfppro = pd.read_csv(\"df_fe_without_preprocessing_train.csv\",encoding='latin-1')\n",
"else:\n",
" print(\"download df_fe_without_preprocessing_train.csv from drive or run previous notebook\")"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "apdRa1kndMVb",
"colab_type": "code",
"colab": {}
},
"source": [
"df1 = dfnlp.drop(['qid1','qid2','question1','question2'],axis=1)\n",
"df2 = dfppro.drop(['qid1','qid2','question1','question2','is_duplicate'],axis=1)\n",
"df3 = df.drop(['qid1','qid2','question1','question2','is_duplicate'],axis=1)\n",
"df3_q1 = pd.DataFrame(df3.q1_feats_m.values.tolist(), index= df3.index)\n",
"df3_q2 = pd.DataFrame(df3.q2_feats_m.values.tolist(), index= df3.index)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "xzWAqGegdMVp",
"colab_type": "code",
"outputId": "2f88eeda-244f-4bbb-a51c-a8680fe8fb92",
"colab": {}
},
"source": [
"# dataframe of nlp features\n",
"df1.head()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
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" 9 \n",
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" 374 \n",
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5 rows × 384 columns
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"
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"\n",
"
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5 rows × 384 columns
\n",
"
4. Machine Learning Models "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "CtN9VBPutARf",
"colab_type": "text"
},
"source": [
" 4.1 Reading data from file and storing into sql table "
]
},
{
"cell_type": "code",
"metadata": {
"id": "owBQdjY1tARh",
"colab_type": "code",
"colab": {}
},
"source": [
"#Creating db file from csv\n",
"if not os.path.isfile('drive/My Drive/Quora/train.db'):\n",
" disk_engine = create_engine('sqlite:///train.db')\n",
" start = dt.datetime.now()\n",
" chunksize = 180000\n",
" j = 0\n",
" index_start = 1\n",
" for df in pd.read_csv('final_features.csv', names=['Unnamed: 0','id','is_duplicate','cwc_min','cwc_max','csc_min','csc_max','ctc_min','ctc_max','last_word_eq','first_word_eq','abs_len_diff','mean_len','token_set_ratio','token_sort_ratio','fuzz_ratio','fuzz_partial_ratio','longest_substr_ratio','freq_qid1','freq_qid2','q1len','q2len','q1_n_words','q2_n_words','word_Common','word_Total','word_share','freq_q1+q2','freq_q1-q2','0_x','1_x','2_x','3_x','4_x','5_x','6_x','7_x','8_x','9_x','10_x','11_x','12_x','13_x','14_x','15_x','16_x','17_x','18_x','19_x','20_x','21_x','22_x','23_x','24_x','25_x','26_x','27_x','28_x','29_x','30_x','31_x','32_x','33_x','34_x','35_x','36_x','37_x','38_x','39_x','40_x','41_x','42_x','43_x','44_x','45_x','46_x','47_x','48_x','49_x','50_x','51_x','52_x','53_x','54_x','55_x','56_x','57_x','58_x','59_x','60_x','61_x','62_x','63_x','64_x','65_x','66_x','67_x','68_x','69_x','70_x','71_x','72_x','73_x','74_x','75_x','76_x','77_x','78_x','79_x','80_x','81_x','82_x','83_x','84_x','85_x','86_x','87_x','88_x','89_x','90_x','91_x','92_x','93_x','94_x','95_x','96_x','97_x','98_x','99_x','100_x','101_x','102_x','103_x','104_x','105_x','106_x','107_x','108_x','109_x','110_x','111_x','112_x','113_x','114_x','115_x','116_x','117_x','118_x','119_x','120_x','121_x','122_x','123_x','124_x','125_x','126_x','127_x','128_x','129_x','130_x','131_x','132_x','133_x','134_x','135_x','136_x','137_x','138_x','139_x','140_x','141_x','142_x','143_x','144_x','145_x','146_x','147_x','148_x','149_x','150_x','151_x','152_x','153_x','154_x','155_x','156_x','157_x','158_x','159_x','160_x','161_x','162_x','163_x','164_x','165_x','166_x','167_x','168_x','169_x','170_x','171_x','172_x','173_x','174_x','175_x','176_x','177_x','178_x','179_x','180_x','181_x','182_x','183_x','184_x','185_x','186_x','187_x','188_x','189_x','190_x','191_x','192_x','193_x','194_x','195_x','196_x','197_x','198_x','199_x','200_x','201_x','202_x','203_x','204_x','205_x','206_x','207_x','208_x','209_x','210_x','211_x','212_x','213_x','214_x','215_x','216_x','217_x','218_x','219_x','220_x','221_x','222_x','223_x','224_x','225_x','226_x','227_x','228_x','229_x','230_x','231_x','232_x','233_x','234_x','235_x','236_x','237_x','238_x','239_x','240_x','241_x','242_x','243_x','244_x','245_x','246_x','247_x','248_x','249_x','250_x','251_x','252_x','253_x','254_x','255_x','256_x','257_x','258_x','259_x','260_x','261_x','262_x','263_x','264_x','265_x','266_x','267_x','268_x','269_x','270_x','271_x','272_x','273_x','274_x','275_x','276_x','277_x','278_x','279_x','280_x','281_x','282_x','283_x','284_x','285_x','286_x','287_x','288_x','289_x','290_x','291_x','292_x','293_x','294_x','295_x','296_x','297_x','298_x','299_x','300_x','301_x','302_x','303_x','304_x','305_x','306_x','307_x','308_x','309_x','310_x','311_x','312_x','313_x','314_x','315_x','316_x','317_x','318_x','319_x','320_x','321_x','322_x','323_x','324_x','325_x','326_x','327_x','328_x','329_x','330_x','331_x','332_x','333_x','334_x','335_x','336_x','337_x','338_x','339_x','340_x','341_x','342_x','343_x','344_x','345_x','346_x','347_x','348_x','349_x','350_x','351_x','352_x','353_x','354_x','355_x','356_x','357_x','358_x','359_x','360_x','361_x','362_x','363_x','364_x','365_x','366_x','367_x','368_x','369_x','370_x','371_x','372_x','373_x','374_x','375_x','376_x','377_x','378_x','379_x','380_x','381_x','382_x','383_x','0_y','1_y','2_y','3_y','4_y','5_y','6_y','7_y','8_y','9_y','10_y','11_y','12_y','13_y','14_y','15_y','16_y','17_y','18_y','19_y','20_y','21_y','22_y','23_y','24_y','25_y','26_y','27_y','28_y','29_y','30_y','31_y','32_y','33_y','34_y','35_y','36_y','37_y','38_y','39_y','40_y','41_y','42_y','43_y','44_y','45_y','46_y','47_y','48_y','49_y','50_y','51_y','52_y','53_y','54_y','55_y','56_y','57_y','58_y','59_y','60_y','61_y','62_y','63_y','64_y','65_y','66_y','67_y','68_y','69_y','70_y','71_y','72_y','73_y','74_y','75_y','76_y','77_y','78_y','79_y','80_y','81_y','82_y','83_y','84_y','85_y','86_y','87_y','88_y','89_y','90_y','91_y','92_y','93_y','94_y','95_y','96_y','97_y','98_y','99_y','100_y','101_y','102_y','103_y','104_y','105_y','106_y','107_y','108_y','109_y','110_y','111_y','112_y','113_y','114_y','115_y','116_y','117_y','118_y','119_y','120_y','121_y','122_y','123_y','124_y','125_y','126_y','127_y','128_y','129_y','130_y','131_y','132_y','133_y','134_y','135_y','136_y','137_y','138_y','139_y','140_y','141_y','142_y','143_y','144_y','145_y','146_y','147_y','148_y','149_y','150_y','151_y','152_y','153_y','154_y','155_y','156_y','157_y','158_y','159_y','160_y','161_y','162_y','163_y','164_y','165_y','166_y','167_y','168_y','169_y','170_y','171_y','172_y','173_y','174_y','175_y','176_y','177_y','178_y','179_y','180_y','181_y','182_y','183_y','184_y','185_y','186_y','187_y','188_y','189_y','190_y','191_y','192_y','193_y','194_y','195_y','196_y','197_y','198_y','199_y','200_y','201_y','202_y','203_y','204_y','205_y','206_y','207_y','208_y','209_y','210_y','211_y','212_y','213_y','214_y','215_y','216_y','217_y','218_y','219_y','220_y','221_y','222_y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chunksize=chunksize, iterator=True, encoding='utf-8', ):\n",
" df.index += index_start\n",
" j+=1\n",
" print('{} rows'.format(j*chunksize))\n",
" df.to_sql('data', disk_engine, if_exists='append')\n",
" index_start = df.index[-1] + 1"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "4hpD3aBktARn",
"colab_type": "code",
"colab": {}
},
"source": [
"#http://www.sqlitetutorial.net/sqlite-python/create-tables/\n",
"def create_connection(db_file):\n",
" \"\"\" create a database connection to the SQLite database\n",
" specified by db_file\n",
" :param db_file: database file\n",
" :return: Connection object or None\n",
" \"\"\"\n",
" try:\n",
" conn = sqlite3.connect(db_file)\n",
" return conn\n",
" except Error as e:\n",
" print(e)\n",
" \n",
" return None\n",
"\n",
"\n",
"def checkTableExists(dbcon):\n",
" cursr = dbcon.cursor()\n",
" str = \"select name from sqlite_master where type='table'\"\n",
" table_names = cursr.execute(str)\n",
" print(\"Tables in the databse:\")\n",
" tables =table_names.fetchall() \n",
" print(tables[0][0])\n",
" return(len(tables))"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "nR8ZIUnttARs",
"colab_type": "code",
"outputId": "4c3eca94-0de7-4b25-da7b-d099fb232e33",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 51
}
},
"source": [
"read_db = 'drive/My Drive/Quora/train.db'\n",
"conn_r = create_connection(read_db)\n",
"checkTableExists(conn_r)\n",
"conn_r.close()"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Tables in the databse:\n",
"data\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "SZq5gaaztARy",
"colab_type": "code",
"colab": {}
},
"source": [
"# try to sample data according to the computing power you have\n",
"if os.path.isfile(read_db):\n",
" conn_r = create_connection(read_db)\n",
" if conn_r is not None:\n",
" # for selecting first 1M rows\n",
" # data = pd.read_sql_query(\"\"\"SELECT * FROM data LIMIT 100001;\"\"\", conn_r)\n",
" data =pd.read_sql_query(\"\"\"SELECT * From data ORDER BY RANDOM() LIMIT 100001;\"\"\", conn_r)\n",
" \n",
" # for selecting random points\n",
"# data = pd.read_sql_query(\"SELECT * From data ORDER BY RANDOM() LIMIT 100001;\", conn_r)\n",
" conn_r.commit()\n",
" conn_r.close()"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "W_xIiyvZB7jM",
"colab_type": "code",
"outputId": "a19024b8-70e1-4b54-8699-0e00a1f62adb",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"source": [
"data.shape"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(100001, 798)"
]
},
"metadata": {
"tags": []
},
"execution_count": 157
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "ZkeBKktKtAR3",
"colab_type": "code",
"colab": {}
},
"source": [
"# remove the first row \n",
"data.drop(data.index[0], inplace=True)\n",
"y_true = data['is_duplicate'].values\n",
"data.drop(['Unnamed: 0', 'id','index','is_duplicate'], axis=1, inplace=True)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "L7h-2-D8gvV4",
"colab_type": "code",
"outputId": "6ce286aa-8a51-4ca9-a53d-f61d4b26622e",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"source": [
"data.shape\n"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(100000, 794)"
]
},
"metadata": {
"tags": []
},
"execution_count": 159
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "qD0iNvq6gmLt",
"colab_type": "code",
"outputId": "a1972f60-5fca-4df3-f4a8-f86c0815e4ed",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"source": [
"y_true.shape\n"
],
"execution_count": 0,
"outputs": [
{
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5 rows × 794 columns
\n",
"
4.2 Converting strings to numerics "
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"# after we read from sql table each entry was read it as a string\n",
"# we convert all the features into numaric before we apply any model\n",
"cols = list(data.columns)\n",
"for i in cols:\n",
" data[i] = data[i].apply(pd.to_numeric)\n",
" print(i)"
],
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"cwc_max\n",
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"fuzz_ratio\n",
"fuzz_partial_ratio\n",
"longest_substr_ratio\n",
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"q2len\n",
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],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "-OMfyeoJa2RX",
"colab_type": "code",
"outputId": "f4bda18d-a2f4-4819-85f8-ed4af201c845",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"source": [
"y_true[:10]"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"array(['1', '0', '0', '0', '0', '1', '0', '0', '0', '0'], dtype=object)"
]
},
"metadata": {
"tags": []
},
"execution_count": 166
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "_LpfQwc9tASJ",
"colab_type": "code",
"colab": {}
},
"source": [
"# https://stackoverflow.com/questions/7368789/convert-all-strings-in-a-list-to-int\n",
"y_true = pd.Series(map(int,list(y_true)))"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "CuMTqWGutASO",
"colab_type": "text"
},
"source": [
" 4.3 Random train test split( 70:30) "
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"id": "6IlSqCHXSBzM",
"colab": {}
},
"source": [
"# X_train,X_test, y_train, y_test = train_test_split(data, y_true, stratify=y_true, test_size=0.3)\n",
"from sklearn.model_selection import train_test_split\n",
"X_train, X_test, y_train, y_test = train_test_split(data, y_true, test_size=0.33, stratify=y_true)\n",
"X_train, X_cv, y_train, y_cv = train_test_split(X_train, y_train, test_size=0.33, stratify=y_train)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"outputId": "d19b9cc7-1263-4e0f-a2a2-b7e4e1a1a36f",
"id": "jDECOqw2SBzR",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 68
}
},
"source": [
"print(\"Number of data points in train data :\",X_train.shape)\n",
"print(\"Number of data points in test data :\",X_cv.shape)\n",
"print(\"Number of data points in test data :\",X_test.shape)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Number of data points in train data : (44890, 794)\n",
"Number of data points in test data : (22110, 794)\n",
"Number of data points in test data : (33000, 794)\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "KLy-mDT1Ps_4",
"colab_type": "text"
},
"source": [
"### For TFIDF data"
]
},
{
"cell_type": "code",
"metadata": {
"id": "_gI66QoBTGqe",
"colab_type": "code",
"outputId": "93efbe79-500c-4a99-d682-ec861e5d88b9",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 68
}
},
"source": [
"print(\"Number of data points in train data :\",X_train.shape)\n",
"print(\"Number of data points in test data :\",X_cv.shape)\n",
"print(\"Number of data points in test data :\",X_test.shape)\n"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Number of data points in train data : (44890, 32)\n",
"Number of data points in test data : (22110, 32)\n",
"Number of data points in test data : (33000, 32)\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "0oDV15LJtASY",
"colab_type": "code",
"outputId": "415f801b-403d-4b0d-fd7c-de90dafcccf2",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 85
}
},
"source": [
"print(\"-\"*10, \"Distribution of output variable in train data\", \"-\"*10)\n",
"train_distr = Counter(y_train)\n",
"train_len = len(y_train)\n",
"print(\"Class 0: \",int(train_distr[0])/train_len,\"Class 1: \", int(train_distr[1])/train_len)\n",
"print(\"-\"*10, \"Distribution of output variable in test data\", \"-\"*10)\n",
"test_distr = Counter(y_test)\n",
"test_len = len(y_test)\n",
"print(\"Class 0: \",int(test_distr[0])/test_len, \"Class 1: \",int(test_distr[1])/test_len)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"---------- Distribution of output variable in train data ----------\n",
"Class 0: 0.6274671419024281 Class 1: 0.37253285809757186\n",
"---------- Distribution of output variable in test data ----------\n",
"Class 0: 0.6274545454545455 Class 1: 0.37254545454545457\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "XfxcPT6jtASg",
"colab_type": "code",
"colab": {}
},
"source": [
"# This function plots the confusion matrices given y_i, y_i_hat.\n",
"def plot_confusion_matrix(test_y, predict_y):\n",
" C = confusion_matrix(test_y, predict_y)\n",
" # C = 9,9 matrix, each cell (i,j) represents number of points of class i are predicted class j\n",
" \n",
" A =(((C.T)/(C.sum(axis=1))).T)\n",
" #divid each element of the confusion matrix with the sum of elements in that column\n",
" \n",
" # C = [[1, 2],\n",
" # [3, 4]]\n",
" # C.T = [[1, 3],\n",
" # [2, 4]]\n",
" # C.sum(axis = 1) axis=0 corresonds to columns and axis=1 corresponds to rows in two diamensional array\n",
" # C.sum(axix =1) = [[3, 7]]\n",
" # ((C.T)/(C.sum(axis=1))) = [[1/3, 3/7]\n",
" # [2/3, 4/7]]\n",
"\n",
" # ((C.T)/(C.sum(axis=1))).T = [[1/3, 2/3]\n",
" # [3/7, 4/7]]\n",
" # sum of row elements = 1\n",
" \n",
" B =(C/C.sum(axis=0))\n",
" #divid each element of the confusion matrix with the sum of elements in that row\n",
" # C = [[1, 2],\n",
" # [3, 4]]\n",
" # C.sum(axis = 0) axis=0 corresonds to columns and axis=1 corresponds to rows in two diamensional array\n",
" # C.sum(axix =0) = [[4, 6]]\n",
" # (C/C.sum(axis=0)) = [[1/4, 2/6],\n",
" # [3/4, 4/6]] \n",
" plt.figure(figsize=(20,4))\n",
" \n",
" labels = [1,2]\n",
" # representing A in heatmap format\n",
" cmap=sns.light_palette(\"blue\")\n",
" plt.subplot(1, 3, 1)\n",
" sns.heatmap(C, annot=True, cmap=cmap, fmt=\".3f\", xticklabels=labels, yticklabels=labels)\n",
" plt.xlabel('Predicted Class')\n",
" plt.ylabel('Original Class')\n",
" plt.title(\"Confusion matrix\")\n",
" \n",
" plt.subplot(1, 3, 2)\n",
" sns.heatmap(B, annot=True, cmap=cmap, fmt=\".3f\", xticklabels=labels, yticklabels=labels)\n",
" plt.xlabel('Predicted Class')\n",
" plt.ylabel('Original Class')\n",
" plt.title(\"Precision matrix\")\n",
" \n",
" plt.subplot(1, 3, 3)\n",
" # representing B in heatmap format\n",
" sns.heatmap(A, annot=True, cmap=cmap, fmt=\".3f\", xticklabels=labels, yticklabels=labels)\n",
" plt.xlabel('Predicted Class')\n",
" plt.ylabel('Original Class')\n",
" plt.title(\"Recall matrix\")\n",
" \n",
" plt.show()"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "UStQJ5F_tASk",
"colab_type": "text"
},
"source": [
" 4.4 Building a random model (Finding worst-case log-loss) "
]
},
{
"cell_type": "code",
"metadata": {
"id": "qwMDqcU7tASl",
"colab_type": "code",
"outputId": "cb7ece65-8a63-4118-a15c-00b7d866cb2f",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 312
}
},
"source": [
"# we need to generate 9 numbers and the sum of numbers should be 1\n",
"# one solution is to genarate 9 numbers and divide each of the numbers by their sum\n",
"# ref: https://stackoverflow.com/a/18662466/4084039\n",
"# we create a output array that has exactly same size as the CV data\n",
"predicted_y = np.zeros((test_len,2))\n",
"for i in range(test_len):\n",
" rand_probs = np.random.rand(1,2)\n",
" predicted_y[i] = ((rand_probs/sum(sum(rand_probs)))[0])\n",
"print(\"Log loss on Test Data using Random Model\",log_loss(y_test, predicted_y, eps=1e-15))\n",
"\n",
"predicted_y =np.argmax(predicted_y, axis=1)\n",
"plot_confusion_matrix(y_test, predicted_y)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Log loss on Test Data using Random Model 0.8900928865618952\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
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t2FdERKTENJRMRERERKQY3H0IMKSEh6kKtAaOApoDH5nZXiU8poiISNLUY0hEREREJDXm\nAzvFvW4elcXLBka7+wZ3nwt8T0gUJbOviIhIiSkxJCIiIiKSGpOA1mbW0syqA72B0fnqvEboLYSZ\nNSYMLZsDvA10NbMGZtYA6BqViYiIlCoNJRMRERERSQF332hm/QkJnSxguLtPM7NBwGR3H01uAmg6\nkANc5+5LAczsdkJyCWCQuy8r+08hIiKVnbl7ebehQGakZ8NEpFy5YyXZf2vOLSV9L0ktxQkRKYji\nhMQMHqw4IcGUKeXdAkknzz6rOJGfhpKJiIiIiIiIiJQxM+tuZjPNbLaZ3VjA9r5mtsTMvo4eF8Vt\nO8/MZkWP86KyWmY2xsy+M7NpZnZXMu3QUDIRERERERERkTJkZlnAw0AXwkIEk8xstLtPz1d1pLv3\nz7dvQ2Ag0BFw4AszGw2sA+519w+iue3eM7Nj3f2tRG1RjyERERERERERkbLVCZjt7nPcfT0wAuiZ\n5L7dgHHuvszdlwPjgO7uvtrdPwCIjvklYVXLhJQYEhEREREREREpZWbWz8wmxz36xW1uBsyLe50d\nleV3iplNMbNRZrZTsvuaWX3gROC9otqpoWQiIiIiIiIiIqXM3YcAQ0pwiDeAF9x9nZldAjwNdC5q\nJzOrCrwA/Mvd5xRVXz2GRERERERERETK1nxgp7jXzaOyzdx9qbuvi14OBfZPct8hwCx3fyCZhigx\nJCJSAmZ2lZlNjWb9vzqu/Mq41QDuiSu/KVp1YKaZdYsrT7gigYiIiIiIVCqTgNZm1jKaKLo3MDq+\ngpntGPeyBzAjev420NXMGphZA6BrVIaZ3QFsC1xNkjSUTEQyyt57l96xzKw9cDFh4rj1wH/N7E1C\n9r4nsE/U7XO7qH47wgl/T6Ap8K6ZtYkOl8yKBCIikmKlGSdERKTyKa044e4bzaw/IaGTBQx392lm\nNgiY7O6jgQFm1gPYCCwD+kb7LjOz2wnJJYBBUVlz4GbgO+BLMwN4yN2HJmqLEkMiIsW3BzDR3VcD\nmNmHwMmEZSPvinX7dPfFUf2ewIiofK6ZzSYklSBakSA6TmxFAiWGREREREQqKXcfC4zNV3Zr3POb\ngJsK2Xc4MDxfWTZgW9sODSUTESm+qcDhZtbIzGoBxxF6C7WJyiea2YdmdkBUv7DVA5JdkUBERERE\nRKRUqceQiEghouUk45eUHBKtLACAu88ws7uBd4A/gK+BHMK5tSFwEHAA8KKZ7VpmDRcREREREUmS\nEkMiIoVIZnlJdx8GDAMws38QevvsDrzi7g58bmabgMYkXj0g4YoEIiIiIiIiqaChZCIiJRA3sfTO\nhPmFngdeA46OytsA1YFfCasM9DazGmbWEmgNfE4SKxKIiIiIiIikgnoMiYiUzMtm1gjYAFzh7ivM\nbDgw3MymElYrOy/qPTTNzF4kTCq9MaqfA1DQigTl8WFERERERCSzKDEkIlIC7n54AWXrgbMLqX8n\ncGcB5VusSCAiIiIiIpJqGkomIiIiIiIiIpKhlBgSEREREREREclQSgyJiIiIiIiIiGQoJYZERERE\nRERERDKUEkMiIiIiIiIiIhlKiSERERERERERkQylxFAxDRsGv/wC336bW9agAbzzDnz/ffizfv1Q\n3qMHfPMNfPUVTJoEhx4aynfeGb74IpRPnQqXXJJ7rNNPD/tMnQp33VV4O268EWbNgu++g65dc8u7\ndQtls2bBDTfklrdoARMmhPIRI6BatRL/VWS80vguAOy0E7z9NkyfDtOmwS67hPKPPgr1v/oK5s+H\nV18tuB3nnhve7/vvw/OY/faDKVPCv/mDDxbdRhEpP4Wdu+Oddlo4R0ydCv/5TyjbZx/43/9C2Tff\nhBgS07lzbqz5+GPYbbfUfw4puVR8FwDuuANmzgyx5sorU/sZRKT0tWgBF14IF10EnToVXq9NG7ju\nOth++/C6ShXo3h369oXzzgvXnTFt24by88+HI45IYeOlVO21F9xzD9x7L5xwwpbbDz8cHn44nPfv\nuAOOPDJ322GHweDB4XHYYbnlp54KDzwATzyR+vZLelFiqJieeiqcXOPdeCO89144Eb/3XngN4fk+\n+0CHDnDBBTB0aChfuBAOPjiUH3hgqL/jjtCwYfhPeswx0L497LBDuLDPb489oHdv2HPP0JZHHgkn\n/SpVwkng2GOhXTs488xQF+Duu+H++6F1a1i+PAQWKZnS+C4APPNM+Hdv1y4E+sWLQ/kRR4T6HTrA\nZ5/BK69s2YYGDWDgwPA96tQpPI8leh59FC6+OPybt26d29bC2igi5SPRuTumVSu46aaQVG7fHq6+\nOpSvXh0Swu3bh//jDzwA224btj36KPTpE84hzz8Pt9xStp9Ltl6qvgt9+4Yfg7vvHo47YkSZfiwR\nKSEz6NIFRo2C4cPDeaFRoy3rVasWbgwuWJBbts8+4c+nnoKXXoKjjgqva9YMz0eOhCefhNq1w81r\nSW9mIcE3eHC4eXDwwdC06Zb1Jk4Mcf+WW+DDD0NZ7dpw0klw223hN8NJJ0GtWmHbV1+FMsk8SgwV\n08cfw7Jlect69oSnnw7Pn34aevUKz//4I7dO7drgHp5v2ADr14fnNWqEC0GAXXcNdwh//TW8fvdd\nOOWULdvQs2e4qFu/Hn78EWbPDkmBTp3C87lzw3uMGBHqQkgwjRq1ZRul+Erju7DHHlC1avi3jtVb\nsybvMevWDf9+r722ZRu6dYNx40Kyb8WK8Lx795BUrFcvBAUIyadYWwpro4iUj0Tn7piLLw4JgxUr\nwuslS8Kfs2aFfSHcdFi8GJo0Ca/dw3kAQoIg/oeCpKdUfRcuuwwGDcqNPbF9RKRi2HHHcK3322+w\naVPoVdiq1Zb1DjsMPv8cNm7MLWvUCH7+OTxfvRrWrQvXifXrh2PGrjt/+incNJT0tttuYcTCkiWQ\nkxNGhOy/f3L77rVX6FX6xx/huzB1Kuy9d9j2ww/h+yWZp8wTQ2Z2flm/Z1nZfntYtCg8X7Qot+sm\nhB/dM2bAmDGhp0hM8+ahq/e8eaE3z8KF4YKubdswlCgrK+wb390zplmzsF9MdnYoK6y8UaNwAZmT\nk7dcSt/WfhfatAn/Ni+/DF9+GbqFVsn3v7NXr9Cz5/fft3y/RN+F7Owty4tqo0h5qsxxIpHC/h/H\na9MmPD75JPQg7NZty+MccABUrx4u7iAMNxg7Nhz7nHMSD0+W9JCq78Juu8EZZ4ShzGPHFvyDUqQi\nyNQ4UadO3uvA338PZfG22y7cDJgzJ2/54sXh/7xZuEmw/fah3vLlYbRCvXphW+vW4WakpLcGDfLe\nmF62LJTld8ABcOedYehww4ahrGHDLfeNbZPMVR49hv5e2AYz62dmk81sMgwpyzalROyOHIReHnvs\nEX7c3357bnl2duja2apV6A643XYhQXDZZaFL58cfh95AsWSOVExFfReqVg3jgK+9NpzAd901dPmP\nd+aZ8MILZdNGkXKWMXFia1WtGi7ajzoqnBOeeCJ3mBCEu7/PPhvmiYj9n77mGjjuuHCD4ckn4b77\nyqXpUsqK812oUQPWrg1x5oknwlAUkQoqqTgxYULmxYmjj4YPPtiy/NtvQyLp3HNDnQULQq+jdetC\nT/MTT4Szzgq9RXRNWDl89VW4Brj55i3nsxXJr2oqDmpmUwrbBBTaL8HdhxBd6ZtR4U5Jv/wSLsQW\nLQp/xuaIiffxx+FHf6NGsHRpbvnCheE/7OGHh14jb74ZHhC6ixeUGJo/P29PoubNQxkUXL50aegu\nmpUVjhdfX0rX1n4XsrPh66/DsAEIyaODDsq9aG/UKAwtOOmkgt9v/vzcseIQ/m3Hjw/lzZvnLY/9\nmyfTRpFUydQ4kUiic3pMdnYYGrpxY7hp8P33ITkweXK4wztmTLgAjA0fbdw43Hz4/PPweuRI+O9/\ny+TjSAmk4rsQ2yc2T92rr4ZEoUi6Ko04MXhw5YoTq1bl7c1Tt24oi6lePZz3e/cOr2vXhpNPDv/v\nf/klb8LorLNCbyEIvQpjPQv33luJoYog1tMrpmHD3H/PmPjvxvjxud+LZcvyzlvXsGEYzSCZLVU9\nhrYHzgVOLOCxNMF+Fdro0aHXD4Q/X389PI9fAaZDh3DHbunS0C28Zs1QXr9+GA88c2Z4HZsPoH59\nuPzyvJMUx79f794hCLRoES4IP/88dBFv3TqUVasW6oweHfb54IMw23z+Nkrp2trvwqRJ4d+6ceOw\nrXPnsGJMzKmnhkThunUFv9/bb4dV6erXD4+uXUPZokWwcmWYlBrCXaJYWwpro0gZycg4kUiic3fM\na6/lJoEbNQpDiebMCfVffTXMI/byy7n1ly8PvUhatw6vu3TRxV9FkIrvQmyfo48Oz488MiSTRNKY\n4kQ+CxeG4ULbbhumHNh999w5xSDMO/rwwzBkSHgsWJCbFKpaNXc14l12Cb2FYjepYxMP16gRrk+n\nFJaSk7QxZ064sdukSbjpf9BBYTqKePG9SOMnI//22zDPUK1a4bHXXnlXV5bMlJIeQ8CbQB13/zr/\nBjMbn6L3LFPPPx8uyBo3DvMADBwY5m148cWw0tdPP+UuEXvKKeEH+YYNYWK3M84I5XvsAf/3fyEr\nbxaWGpw6NWx78MHc1QMGDQqTSULo5tmxY3i/6dPD+02fHu4YXnFFOMkD9O8fEgNZWaHXSSzJcMMN\nYRLLO+4I3QuHDSuTv65KrTS+C5s2hWFk770XvgtffJF3mcjevbecF2T//eHSS0OPsuXLw7C0SZPC\ntkGDcu8aXH55WIFim23grbfCAwpvo0gZqfRxYmvl5BR87v7730MvkDfeyE0CT5sW6l93Xbjz16dP\nWMGwUaPcYah9+4Y57C6+OCQINm0K54X4ee4kPaXqu3DXXWFZ+2uuCXeSL7qoPD+lSJEUJ/JxDwuV\nnHpqSAx9+21I7hx6aLgZGOv1U5BateC008IxVq0K84zFdO6ce1P6s8+27Hki6WfTpnAD4Lrrwnfh\no49Cz9KTTw4jEL76Ksw916FDqLtqVUgWQph0+rXXwu8FCDcTYgvk9O4dVjirXj38Hh0/PmyXys88\nTfsKVrYhAiJSOtyxkuy/zz7Jn1u++aZk7yWppTghIgVRnJCYyjaUTIpPvaAk3rPPKk7kp+XqRURE\nREREREQylBJDIiIiIiIiIiIZSokhEREREREREZEMpcSQiIiIiIiIiEiGUmJIRERERCRFzKy7mc00\ns9lmdmMB2/ua2RIz+zp6XBS3LSeufHTZtlxERDJFqparFxERERHJaGaWBTwMdAGygUlmNtrdp+er\nOtLd+xdwiDXuvm+q2ykiIplNPYZERERERFKjEzDb3ee4+3pgBNCznNskIiKShxJDIiIiIiLFYGb9\nzGxy3KNfvirNgHlxr7OjsvxOMbMpZjbKzHaKK68ZHXeCmfUq7faLiIiAEkMiIiIiIsXi7kPcvWPc\nY0gxDvMG0MLd9wbGAU/HbdvF3TsCZwEPmNlupdBsERFJEyWch+48M5sVPc6LK7/TzOaZ2apk26HE\nkIiIiIhIaswH4nsANY/KNnP3pe6+Lno5FNg/btv86M85wHigQyobKyIiZSduHrpjgXbAmWbWroCq\nI9193+gxNNq3ITAQOJAwbHmgmTWI6r8RlSVNiSERERERkdSYBLQ2s5ZmVh3oDeRZXczMdox72QOY\nEZU3MLMa0fPGwKFA/kmrRUSk4irJPHTdgHHuvszdlxN6nHYHcPcJ7r5waxqixJCIiIiISAq4+0ag\nP/A2IeHzortPM7NBZtYjqjbAzKaZ2TfAAKBvVL4HMDkq/wC4q4DVzEREJI0VMRddSeahS3bfpGi5\nehERERGRFHH3scDYfGW3xj2/CbipgP3+B+yV8gaKiEjKRHPPFWf+uZg3gBfcfZ2ZXUKYh65zqTQu\njhJDIpJR9t67vFsgIiLpTHFCREQSKcU4kdQ8dHEvhwL3xO17VL59xxe3IRpKJiIiIiIiIiJStoo9\nDx1hiHLXaD66BkDXqKxYlBgSERERERERESlDJZmHzt2XAbcTkkuTgEFRGWZ2j5llA7XMLNvMbiuq\nLUUOJTOz2sAad99kZm2A3YG33H3DVn1qERGplBQnREQkEcUJEZGCFXceumjbcGB4AeXXA9dvTTuS\n6TH0EVDTzJoB7wDnAE9tzZuIiFRWZnZNlMWfamYvmFlNMzvGzL40s6/N7BMzaxXVrWFmI81stplN\nNLMWcce5KSqfaWbdyuvzFJOP/+XQAAAgAElEQVTihIiIJKI4ISKSxpJJDJm7rwZOBh5x99OAPVPb\nLBGR9Bdd4A4AOrp7eyCLMDb4UaCPu+8LPA/cEu1yIbDc3VsB9wN3R8dpF+23J9AdeMTMssrys5SQ\n4oSIiCSiOCEiksaSSgyZ2cFAH2BMVFaRfrCIiKRSVWAbM6sK1AIWAA7Ui7ZvG5UB9CQsMQkwCjjG\nzCwqH+Hu69x9LjAb6FRG7S8NihMiIpKI4oSISBpLZrn6qwlj2l6NJkLaFfggtc0SESl/ZtYP6BdX\nNMTdh8ReuPt8M7sX+BlYA7zj7u+Y2UXAWDNbA6wEDop2aQbMi/bdaGa/AY2i8glx75MdlVUUihMi\nIpKI4oSISBorMjHk7h8CHwKYWRXgV3cfkOqGiYiUtygJNKSw7dHSkD2BlsAK4CUzO5vQVf44d59o\nZtcB9wEXlUGTy4XihIiIJKI4ISKS3oocSmZmz5tZvWg1ganA9OiHjohIpvsTMNfdl0Qrq7wCHArs\n4+4TozojgUOi5/OBnQCioWfbAkvjyyPNo7IKQXFCREQSUZwQEUlvycwx1M7dVwK9gLcId8bPSWmr\nREQqhp+Bg8ysVjRX0DHAdGDbaDlegC7AjOj5aOC86PmpwPvu7lF572jVspZAa+DzsvoQpUBxQkRE\nElGcEBFJY8nMMVTNzKoRTuQPufsGM/MUt0tEJO1FQ8VGAV8CG4GvCEPPsoGXzWwTsBy4INplGPCs\nmc0GlhFWIiOab+FFQlJpI3CFu+eU6YcpGcUJERFJRHFCRCSNJZMYehz4EfgG+MjMdiFMpioikvHc\nfSAwMF/xq9Ejf921wGmFHOdO4M5Sb2DZUJwQEZFEFCdERNJYMpNP/wv4V1zRT2Z2dOqaJCIiFYni\nhIiIJKI4ISKS3pLpMYSZHQ/sCdSMKx6UkhaJiEiFozghIiKJKE6IiKSvZFYleww4A7gSMMIwiF1S\n3C4REakgFCdERCQRxQkRkfSWzKpkh7j7ucByd/87cDDQpoh9REQkcyhOiIhIIooTIiJpLJnE0Jro\nz9Vm1hTYAOyYuiaJiEgFozghIiKJKE6IiKSxZOYYetPM6gODCUsyOzA0pa0SEZGKRHFCREQSUZwQ\nEUljyaxKdnv09GUzexOo6e6/pbZZIiJSUShOiIhIIooTIiLprdDEkJmdnGAb7v5KapokIiIVgeKE\niIgkojghIlIxJOoxdGKCbQ7oRC4iktkUJ0REJBHFCRGRCqDQxJC7n1+WDRERkYpFcUJERBJRnBAR\nqRgKXZXMzP5sZhcWUH6hmV2d2maJiEi6U5wQEZFEFCdERCqGRMvV9wGeKaD8WeCC1DRHREQqEMUJ\nERFJRHFCRKQCSJQYquruG/IXuvt6wFLXJBERqSAUJ0REJBHFCRGRCiBRYqiKmW2fv7CgMhERyUiK\nEyIikojihIhIBZAoMTQYGGNmR5pZ3ehxFPAmcG+ZtE5ERNKZ4oSIiCSiOCEiUgEkWpXsGTNbAgwC\n2hOWlJwG3Orub5VR+0REJE0pToiISCKKEyIiFUOhiSGA6IStk7aIiBRIcUJERBJRnBARSX+JhpKJ\niIiIiIiIiEglpsSQiIiIiIiIiEiGUmJIRERERERERCRDFTrHkJn9OdGO7n5f6TdHREQqCsUJEZGi\nmVl34EEgCxjq7nfl296XsHrX/KjoIXcfGm07D7glKr/D3Z8uk0aXEsUJEZHEUhEjzGx/4ClgG2As\ncJW7e6J2JJp8uu5WfB4REck8ihMiIgmYWRbwMNAFyAYmmdlod5+er+pId++fb9+GwECgI2E1ry+i\nfZeXQdNLi+KEiEghUhgjHgUuBiYSEkPdKWIRgETL1f99qz6ViIhkFMUJEZEidQJmu/scADMbAfQE\n8l/0F6QbMM7dl0X7jiNc3L+QoraWOsUJEZGESj1GmNl4oJ67T4jKnwF6UdzEUIyZ1QQuBPYEasbK\n3f2CJBpbbPPnF11HRETKn+KEiGQqM+sH9IsrGuLuQ+JeNwPmxb3OBg4s4FCnmNkRwPfANe4+r5B9\nm5VKw8tYecWJPn1SeXSpSK6/vrxbIOnk2WfL7r2KiBOpiBHNouf5yxMqMjEEPAt8R8hIDQL6ADOS\n2E9EJO3svXd5t6BSUpwQkUpja+JEdHE/pMiKib0BvODu68zsEuBpoHMJj5luFCdEpNIo4zhRJjEi\nmVXJWrn734A/osmMjqfgLJaIiGQmxQkRkYLNB3aKe92c3AlEAXD3pe6+Lno5FNg/2X0rEMUJEZEt\npSJGzI+eF3rMgiSTGNoQ/bnCzNoD2wLbJbGfiIhkBsUJEZGCTQJam1lLM6sO9AZGx1cwsx3jXvYg\ntyfN20BXM2tgZg2ArlFZRaQ4ISKypVKPEe6+EFhpZgeZmQHnAq8X1ZBkhpINid7ob1Ej6wC3JrGf\niIhkBsUJEZECuPtGM+tPuIDPAoa7+zQzGwRMdvfRwAAz6wFsBJYBfaN9l5nZ7YQfDgCDYpOMVkCK\nEyIi+aQwRlxO7nL1b1HExNMAVsRy9uVmwQLSs2EiUq6aNsVKsv/gwcmfW667rmTvJamlOCEiBVGc\nkBjFCYlpViGnbZdUcVecyC+ZVclqAKcALeLru/ug1DVLREQqCsUJERFJRHFCRCS9JTOU7HXgN+AL\nYF0RdUVEJPMoToiISCKKEyIiaSyZxFBzd++e8paIiEhFpTghIiKJKE6IiKSxZFYl+5+Z7ZXyloiI\nVEBmdo2ZTTOzqWb2gpnVjFYWmGhms81sZLTKAGZWI3o9O9reIu44N0XlM82sW3l9nmJSnBARkUQU\nJ0RE0lgyiaHDgC+iHytTzOxbM5uS6oaJiKQ7M2sGDAA6unt7wmoCvYG7gfvdvRWwHLgw2uVCYHlU\nfn9UDzNrF+23J9AdeMTMssrys5SQ4oSIiCSiOCEiksaSGUp2bMpbISJScVUFtjGzDUAtYCHQGTgr\n2v40cBvwKNAzeg4wCnjIzCwqH+Hu64C5ZjYb6AR8VkafoaQUJ0REJBHFCRGRNFZoYsjM6rn7SuD3\nMmyPiEjaMLN+QL+4oiHuPiT2wt3nm9m9wM/AGuAdwsSaK9x9Y1QtG4gtktoMmBftu9HMfgMaReUT\n4t4nfp+0pTghIiKJKE6IiFQMiXoMPQ+cQPiR44DFbXNg1xS2S0Sk3EVJoCGFbTezBoTePi2BFcBL\nhKFgmUJxQkREElGcEBGpAApNDLn7CdGfLcuuOSIiFcqfgLnuvgTAzF4BDgXqm1nVqNdQc2B+VH8+\nsBOQbWZVgW2BpXHlMfH7pC3FCRERSURxQkSkYihyjiEz26+A4t+An+KGSoiIZKKfgYPMrBZhKNkx\nwGTgA+BUYARwHvB6VH909PqzaPv77u5mNhp43szuA5oCrYHPy/KDlITihIiIJKI4ISKS3pKZfPoR\nYD9gCqH7517AVGBbM7vM3d9JYftERNKWu080s1HAl8BG4CvC0LMxwAgzuyMqGxbtMgx4Nppcehlh\nJTLcfZqZvQhMj45zhbvnlOmHKRnFCRERSURxQkQkjSWzXP0CoIO7d3T3/YF9gTlAF+CeVDZORCTd\nuftAd9/d3du7+znuvs7d57h7J3dv5e6nRauN4e5ro9etou1z4o5zp7vv5u5t3f2t8vtExaI4ISIi\niShOiIiksWQSQ23cfVrshbtPB3aP/0EjIiIZTXFCREQSUZwQEUljyQwlm2ZmjxLmygA4A5huZjWA\nDSlrmYiIVBSKEyIikojihIhIGkumx1BfYDZwdfSYE5VtAI5OVcNERKTC6IvihIiIFK4vihMiImmr\nyB5D7r4G+L/okd+qUm+RiIhUKIoTIiKSiOKEiEh6KzQxZGYvuvvpZvYt4Pm3u/veKW2ZiIikNcUJ\nERFJRHFCRKRiSNRj6KrozxPKoiEiIlLhKE6IiEgiihMiIhVAoYkhd19oZlnAU+6usb8iIpKH4oSI\niCSiOCEiUjEknHza3XOATWa2bRm1R0REKhDFCRERSURxQkQk/SWzXP0q4FszGwf8ESt09wEpa5WI\niFQkihMiIpKI4oSISBpLJjH0SvQQEREpiOKEiIgkojghIpLGkkkMjQRaRc9nu/vaFLZHREQqHsUJ\nERFJRHFCRCSNFTrHkJlVNbN7gGzgaeAZYJ6Z3WNm1cqqgSIikp4UJ0REJBHFCRGRiiHR5NODgYZA\nS3ff3933A3YD6gP3lkXjREQkrSlOiIhIIooTIiIVQKLE0AnAxe7+e6zA3VcClwHHpbphIiKS9hQn\nREQkEcUJEZEKIFFiyN3dCyjMAbYoFxGRjKM4ISIiiShOiIhUAIkSQ9PN7Nz8hWZ2NvBd6pokIiIV\nhOKEiIgkojghIlIBJFqV7ArgFTO7APgiKusIbAOclOqGiYhI2lOcEBGRRBQnREQqgEITQ+4+HzjQ\nzDoDe0bFY939vTJpmYiIpDXFCRERSURxQkQkMTPrDjwIZAFD3f2uQuqdAowCDnD3yWZWHXickGzf\nBFzl7uOjumcAN0fHfNPdbyiqHYl6DAHg7u8D7yfzoUREJPMoToiISCKKEyIiWzKzLOBhoAuQDUwy\ns9HuPj1fvbrAVcDEuOKLAdx9LzPbDnjLzA4AGhBWhNzf3ZeY2dNmdkxRCfkiE0MiIpXJ3nuXdwtE\nRCSdKU6IiEgipRgnOgGz3X0OgJmNAHoC0/PVux24G7gurqwdUcLd3Reb2QpC7yEHZrn7kqjeu8Ap\nQMLEUKLJp0VEREREREREpBjMrJ+ZTY579Ivb3AyYF/c6OyqL338/YCd3H5Pv0N8APcysqpm1BPYH\ndgJmA23NrIWZVQV6ReUJKTEkIiIiIpIiZtbdzGaa2WwzuzFBvVPMzM2sY/S6hZmtMbOvo8djZddq\nEREpDe4+xN07xj2GJLuvmVUB7gP+UsDm4YRE0mTgAeB/QI67LwcuA0YCHwM/AjlFvZeGkomIiIiI\npEAJ548A+MHd9y2TxoqISFmbT97ePM2jspi6QHtgvJkB7ACMNrMe7j4ZuCZW0cz+B3wP4O5vAG9E\n5f1IIjGkHkMiIiIiIqmxef4Id18PxOaPyC82f8TasmyciIiUq0lAazNrGa0y1hsYHdvo7r+5e2N3\nb+HuLYAJQI9oVbJaZlYbwMy6ABtjNx2iyagxswbA5cDQohqixJCIiIiISDEUMXcElGz+CICWZvaV\nmX1oZoeXbutFRKQ8uftGoD/wNjADeNHdp5nZIDPrUcTu2wFfmtkM4AbgnLhtD5rZdOBT4C53/76o\ntmgomYiIiIhIMURzRSQ9X0R+cfNH9C1g80JgZ3dfamb7A6+Z2Z7uvrK47yciIunF3ccCY/OV3VpI\n3aPinv8ItC2k3plb2w71GBIRERERSY2tmT/iR+AgwvwRHd19nbsvBXD3L4AfgDZl0moREckoSgyJ\niIiIiKRGSeaPaBJNXo2Z7Qq0BuaU/UcQEZHKTkPJRERERERSwN03mlls/ogsYHhs/ghgsruPTrD7\nEcAgM9sAbAIudfdlqW+1iIhkGiWGRERERERSpATzR7wMvJzSxomIiKChZCIiIiIiIiIiGUuJIRER\nERERERGRDKWhZKVk1aqVDB58C3Pnfo+Zcf31/2DJkkU89dRD/PzzDzz66Eu0bbsXAL/9tpzbbhvA\nd99NpXv3k7jqqtCbeO3aNdx221UsWPAzVapkccghR9Ov37UFvt9//vM4Y8eOIiurCv3730KnTocD\n8PnnH/HQQ3eSk7OJ448/jbPO6gfAwoXzGDToz6xcuYI2bfbkr3+9h2rVqpfB30zm2ZrvwsaNGxg8\n+BZmzZpOTs5GunbtRZ8+l7B48UL++c/rWb58KWCccMLpnHrqeVu8l7vz73/fycSJH1KzZk1uuOEu\n2rTZE4D//vdVnnvuUQDOPvsyunc/CYCZM6dy9903sW7dWg488EiuvPJmzKxs/nIqGTNrC4yMK9oV\nuBVoBpwIrCesInO+u6+I9rkJuBDIAQa4+9tReXfgQcIcFEPd/a6y+hySPgo7h8eMHv0Cr732PFWq\nVGGbbWrxl7/cTosWrRg3bjQjRw7bXG/OnJkMGfIqzZu3SDquSHop7e9Cq1Z7bC67+eZLWbAgmyef\nfLPMPo+IlI6izg0xH374NrfdNoDHHhtF27Z7sWHDeu67byAzZ07FzLjyypvZd98DWb16FQMG9Nm8\n35Ili+jSpQf9+99cVh9JiqlbN3jwQcjKgqFD4e67824/7zwYPBjmR+sgPvQQDIvCw7nnwi23hOd3\n3AHPPBOev/UW7LgjVK0KH38MV1wBmzaVzeeR8qXEUCn597/vpFOnw/n73//Fhg3rWbduLXXq1GPQ\noH9z330D89StXr0GF1xwFXPnzmLu3Fl5tp1xxgV06HAQGzas5y9/6cvEiR9y4IFH5qnz44+zef/9\nMTz55BiWLv2Fa689n2eeeRuABx8cxODBT9KkyfZceumpHHJIZ1q0aMXjj9/Laaf1pXPn47nvvlsZ\nO3YUPXueldq/lAy1Nd+F8eP/y4YN6xk+/A3Wrl1D377Hc8wxx1OtWnUuu+xG2rTZk9WrV3HJJafQ\nseOhtGjRKs/+Eyd+xPz5P/Lcc+8wY8Y33H//bTz66EusXLmCZ555iMceexkz45JLTubQQztTt+62\nPPDAbVx77e3sscc+3HjjxXz++UdbfMckOe4+E9gXIFo5Zj7wKtAWuCmadPRu4CbgBjNrR1iRZk+g\nKfCumcWWHn4Y6AJkA5PMbLS7Ty/TDyTlKicnp9BzeMwxx5xIjx5nAvDpp+/xyCP/5J57htGlSw+6\ndOkBhETA3/52Ba1a7cHatWuSiiuSXlLxXYj56KN3qFmzdtl+IBEpFcmcGwBWr17FK688wx577LO5\n7M03XwJg+PA3WL58KTfccDGPPTaKWrXqMHTo65vr9et3Mocf3rVsPpAUW5Uq8PDD0KULZGfDpEkw\nejTMmJG33siRcOWVecsaNICBA6FjR3CHL74I+65YAaefDr//HuqNGgWnnRaOIZWfhpKVglWrfmfK\nlEkcd9ypAFSrVp06deqxyy67sfPOu25Rf5ttarHXXh2pXr1GnvKaNbehQ4eDNh+jdet2LFnyyxb7\nf/rpe3TufDzVq1dnxx13omnTXfjuuyl8990UmjbdhaZNd6Jatep07nw8n376Hu7OV19N4MgjuwHQ\nrdtJfPLJe6X91yBs/XfBzFi7dg05ORtZt24t1apVo1atOjRqtN3mnj+1atVh55135ddfC/4udO3a\nCzOjXbt9+eOPlSxduphJkz5h//0PpV69+tStuy37738on3/+MUuXLuaPP1bRrt2+mBldu/bSd6H0\nHAP84O4/ufs77r4xKp8ANI+e9wRGuPs6d58LzAY6RY/Z7j7H3dcDI6K6kkEKO4fHq127zubna9eu\nKbC333vvjeHoo48Hko8rkl5S8V0AWLPmD1566UnOOeey1DVeRFImmXMDwPDhD9K798V5fmv89NNs\nOnQ4EIAGDRpRp05dZs6cmme/efPmsmLFUvbeu2NqP4iUWKdOMHs2zJ0LGzbAiBHQM8krx27dYNw4\nWL48JIPGjYPu3cO2WFKoalWoXj0kjiQzpCwxZGa7m9kxZlYnX3n3VL1neVm0KJv69Rty9903cfHF\nvRg8+GbWrFldomOuWrWSzz77gP32O3iLbb/++gvbbbfD5tdNmmzPr7/+Umj5ypXLqVOnHllZVaPy\nHQpMMkjJbe134cgju1Gz5jaccsph9O59NKeffgH16tXf4pizZ8/Ic9cnJv+/eePGOyT8Lvz66y80\naRJfru9CImbWz8wmxz0K7q8d9AZeKKD8AuCt6HkzYF7ctuyorLDySi2T4kQyCvt/m9+rr/6HPn3+\nxOOPD+bKK2/ZYvv48WM55pjjtyhPFFckvaTquzB8+IOcfvoF1KxZMzUNFyllihN5JXNu+P77aSxe\nvIiDDz4qT/luu+3O//73Pjk5G1m4cF5Ub2GeOu+/P4ajjz5OUwxUAM2awby4K8fs7FCW3ymnwDff\nwEsvQfPmye373//C4sUhSTRqVGraL+knJYkhMxsAvA5cCUw1s/j85T8S7Lf5R9hzzw1JRdNSIidn\nI99/P50ePc7kiSdeo2bNbXjhheK3PydnI7ff/mdOPvkcmjbdqRRbKqm2td+FGTOmUKVKFUaN+pjn\nn3+Pl14azoIFuWfqNWv+4NZbB3DFFX/Nc3dYyoa7D3H3jnGPAv8xzaw60AN4KV/5zcBG4D+pb23F\nkmlxojSddFIf/vOfd+nX71qeffbRPNumT/+GGjW2oWXLNnnKFVcqp635LsyePYMFC37m8MO7lEdT\nRbaa4sTW27RpE488cheXX37DFtuOO+4UmjTZgUsuOYWHHvoH7dt3ICsrK0+dDz4YS+fOW95YkIrp\njTegRQvYZ5/QK+jpp5Pbr3v3MM9QjRrQuXNKmyhpJFVzDF0M7O/uq8ysBTDKzFq4+4NAoSno6EfX\nEIAFC6gwHdeaNNmBJk12oF270KPjyCO78/zzxQ9E9977N5o1a8Gpp/YtcHvjxtuzePGiza+XLPmF\nxo23ByiwvF69BqxatZKcnI1kZVVlyZJFm+tL6dra78J7771Jp06HU7VqNRo0aMSee+7HzJnf0rTp\nTmzcuIFbbx3An/50IkccUfBY7/zfhV9/Df+2jRtvz9dff765fMmSX9h33040brw9S5bEf0f0XSgl\nxwJfuvvm23Zm1hc4ATjGfXNH3PlA/K/y5lEZCcorq4yKE8lIdG4vSOfOx/PAA7flKfvggzEFXtQX\nFVckvaTiuzBt2lfMnDmV3r07k5OzkRUrlnH11efwwAPPlnr7RUqJ4kQ+RZ0bVq/+g7lzv+fqq88F\nYNmyJdx882XceeejtG27F1dc8dfNdfv3703z5i02v549+ztycnJo27Z96j+IlNj8+bBT3JVj8+a5\nk0zHLFuW+3zoULjnntx9jzoq777jx+fdd906eP31MDzt3XdLs+WSrlI1lKyKu68CcPcfgaOAY83s\nPhKcyCuqhg2bsN12O/Dzz3MA+PLLz2jRYrdiHWvYsPv5449V9O//10LrHHJIZ95/fwzr169n4cJ5\nzJ//I7vvvje7774X8+f/yMKF89iwYT3vvz+GQw7pjJnRocOBfPhhmKD67bdf5dBDlf5Nha39Lmy/\n/Y589dVEANasWc2MGd+w88674u7cc8/N7LLLrpx++vmF7n/IIZ15553XcHemT/+a2rXr0qjRdhxw\nwGFMnvwJv//+G7///huTJ3/CAQccRqNG21G7dh2mT/8ad+edd17j0EOPKd2/hMx0JnHDyKIu7tcD\nPdw9fizhaKC3mdUws5ZAa+BzYBLQ2sxaRr2Pekd1K7OMihPJKOwcHi87+8fNzydMGE+zZrtsfr1p\n0ybGj39ri8RQMnFF0ksqvgs9e57FqFGfMGLE+/z738/TvHkLJYUk3SlO5FPUuaFOnbq8/vpERox4\nnxEj3qddu303J4XWrl2zeXqDyZM/JSsrK8+k1e+//6Z6C1UgkyZB69ahR1C1atC7d5hAOt4OuaMO\n6dEjd2Lqt9+Grl2hfv3w6No1lNWunbtPVhYcfzx8912ZfBxJA6nqMfSLme3r7l8DRJn+E4DhwF4p\nes9yNWDA37jzzmvZuHEDO+64Ezfc8E8+/ngc//rX7fz22zJuuukSdtttDwYPDmsE9u7dmdWrV7Fh\nwwY++eRdBg8eTu3adXjuucfYeedd6dcvLC1+0klnc/zxp/Hpp+8xc+ZULrjgKlq2bM3RRx/L+ecf\nR1ZWFldddevmrqADBtzK9ddfxKZNORx77Cm0bNkagH79ruP2269h2LAHaN16D4477rTy+YvKAFvz\nXejVqw93330TffseDzjdu5/MbrvtzrffTmbcuNfZddc2XHRR6Dl90UV/5qCDjmT06JB/6NHjTA46\n6EgmTvyQs8/uQo0a23DDDaFndb169TnnnMu59NIwCfa5516xee6iq68eyF133cT69Wvp1OkIDjzw\niLL/S6pEzKw2YTWxS+KKHwJqAOOicfoT3P1Sd59mZi8C0wlDzK5w95zoOP2BtwnL1Q9392ll+DHK\nQ8bFiaJkZVUt8Bw+fPiDtG3bnkMPPYZXX32OL774jKpVq1K3bj1uvDF3bdopUybRpMmOeYaKLVmy\nqNC4IukrFd8FkQpIcSKfZM4NhVmx4v/bu/dgPer6juPvD4miQErspNwzTQYRjaGDSJGWKQVawqU1\n2MofMIOSljZTCgJtEaE6FJI6Bp3SgWrFIGmHyoiW1pm0BDNYobRI0oRwDxdTvBCQQctFBQETvv1j\n98w8HM5zcj3nOcm+XzPPzHl++93d757Z2e/M9/nt7v9x0UVnkezCtGl7c8kln37d8ttvv4VFi7p1\n692ObONGOPfcpqEzaRIsWQJr18Lll8Pq1c1tZOed1zSENmxoZg/Nm9es+9xzsHBh01wCWLCgGdtr\nr6a5tOuuzVvPbrsNrrlmYIeocZYag0eNJzkA2FBVT4+w7KiqunNT29jZpn5K2j7222/bfiVcvnzz\nry0nnNDNXyTHg3VC0lixTuwcrBPankZ6MLO6q8o6MdyYzBiqqvWjLNvkRVyStHOzTkiSRmOdkKTx\nM2avq5ckSZIkSdLEZmNIkiRJkiSpo2wMSZIkSZIkdZSNIUmSJEmSpI6yMSRJkiRJktRRNoYkSZIk\nSZI6ysaQJEmSJElSR9kYkiRJkiRJ6igbQ5IkSZIkSR1lY0iSJEmSJKmjbAxJkiRJkiR1lI0hSZIk\nSZKkjrIxJEmSJEmS1FGTB52AJI2nQw4ZdAaSpInMOiFJGs32rBNJTgSuAiYBX6yqRX3iPgjcBPxq\nVa1O8mbgC8DhwGvA+VV1ext7OvCXQAFPAWdU1Y9Gy8MZQ5IkSZIkSeMoySTgc8BJwCzg9CSzRoib\nApwPrOwZ/mOAqjoEOB74myS7JJlM02g6tqp+BbgfOHdTudgYkiRJkiRJGl9HAOuq6vGqehW4EThl\nhLiFwBXAyz1js4BvAhoql3sAAAsJSURBVFTVM8DzNLOH0n52TxLgF2hmDY3KxpAkSZIkSdJ2lmR+\nktU9n/k9i/cHnuj5vr4d613/MGB6Vd08bNP3AXOTTE4yE3hvG/dz4GzgAZqG0Czguk3l6TOGJEmS\nJEmStrOqWgws3pp1k+wCXAnMG2HxEuBdwGrge8C3gI1J3kTTGHoP8Djwd8AlwF+Pti8bQ5IkSZIk\nSePrSWB6z/cD2rEhU4DZwO3NXWHsAyxNMreqVgN/NhSY5FvAY8ChAFX1v+34V4GLN5WIt5JJkiRJ\nkiSNr1XAQUlmtm8ZOw1YOrSwql6oqmlVNaOqZgArgLntW8l2S7I7QJLjgQ1VtZamsTQryS+1mzke\neHhTiThjSJIkSZIkaRxV1YYk5wLLaV5Xv6SqHkqyAFhdVUtHWX0vYHmS12iaQR9qt/lUksuBO5L8\nnOY2s3mbysXGkCRJkiRJ0jirqmXAsmFjl/aJPabn7+8CB/eJuwa4Zkvy8FYySZIkaYwkOTHJo0nW\nJen7nIckH0xSSQ7vGbukXe/RJCeMT8aSpK5xxpAkSZI0BpJMAj5H84yH9cCqJEvb50D0xk0BzgdW\n9ozNonnexLuB/YBvJHlHVW0cr/wlSd3gjCFJkiRpbBwBrKuqx6vqVeBG4JQR4hYCVwAv94ydAtxY\nVa9U1XeAde32JEnarmwMSZIkSVshyfwkq3s+84eF7A880fN9fTvWu43DgOlVdfOWritJ0vbgrWSS\nJEnSVqiqxcDirV0/yS7AlWzGG2MkSRorNoYkSZKksfEkML3n+wHt2JApwGzg9iQA+wBLk8zdjHUl\nSdouvJVMkiRJGhurgIOSzEzyZpqHSS8dWlhVL1TVtKqaUVUzgBXA3Kpa3cadlmTXJDOBg4D/Gf9D\nkCTt7JwxJEmSJI2BqtqQ5FxgOTAJWFJVDyVZAKyuqqWjrPtQkq8Ca4ENwDm+kUySNBZsDEmSJElj\npKqWAcuGjV3aJ/aYYd8/CXxyzJKTJAlvJZOkbZJkapKbkjyS5OEkv9az7C+SVJJp7fckuTrJuiT3\nt2+iGYo9M8m328+ZgzgWSZIkSd3jjCFJ2jZXAV+vqlPb50fsBpBkOjAH+H5P7Ek0z4g4CHgf8Hng\nfUl+Efgr4HCggLuTLK2q58bvMCRJkiR1kTOGJGkrJdkTOBq4DqCqXq2q59vFfwtcRNPoGXIKcH01\nVgBTk+wLnADcWlXPts2gW4ETx+s4JEmSJHWXjSFJ6iPJ/CSrez7zh4XMBH4I/EOSe5J8McnuSU4B\nnqyq+4bF7w880fN9fTvWb1ySJEmSxpS3kklSH1W1GFg8Sshk4DDgI1W1MslVwGU0s4jmjH2GkiRJ\nkrRtnDEkSVtvPbC+qla232+iaRTNBO5L8l3gAGBNkn2AJ4HpPesf0I71G5ckSZKkMWVjSJK2UlU9\nDTyR5OB26LeANVW1V1XNqKoZNM2jw9rYpcCH27eTHQm8UFU/AJYDc5K8LcnbaGYbLR/3A5IkSZLU\nOd5KJknb5iPADe0byR4H/mCU2GXAycA64KWh2Kp6NslCYFUbt6Cqnh27lCVJkiSpYWNIkrZBVd1L\n85r5fstn9PxdwDl94pYAS7Z3fpIkSZI0Gm8lkyRJkiRJ6igbQ5IkSZIkSR1lY0iSJEmSJKmjbAxJ\nkiRJkiR1lI0hSZIkSZKkjrIxJEmSJEmS1FE2hiRJkiRJkjrKxpAkSZIkSVJH2RiSJEmSJEnqqFTV\noHPQKJLMr6rFg85Dg+e5IGkkXhs0xHNB0ki8NmiI54L6ccbQxDd/0AlowvBckDQSrw0a4rkgaSRe\nGzTEc0EjsjEkSZIkSZLUUTaGJEmSJEmSOsrG0MTnPaAa4rkgaSReGzTEc0HSSLw2aIjngkbkw6cl\nSZIkSZI6yhlDkiRJkiRJHWVjSJIkSZIkqaNsDE1QSZYkeSbJg4PORYOVZHqS25KsTfJQkvMHnZOk\nwbNOaIh1QtJIrBMCa4Q2j88YmqCSHA38FLi+qmYPOh8NTpJ9gX2rak2SKcDdwAeqau2AU5M0QNYJ\nDbFOSBqJdUJgjdDmccbQBFVVdwDPDjoPDV5V/aCq1rR//wR4GNh/sFlJGjTrhIZYJySNxDohsEZo\n89gYknYgSWYA7wFWDjYTSdJEZJ2QJPVjjVA/NoakHUSSPYB/AS6oqh8POh9J0sRinZAk9WON0Ghs\nDEk7gCRvormQ31BV/zrofCRJE4t1QpLUjzVCm2JjSJrgkgS4Dni4qq4cdD6SpInFOiFJ6scaoc1h\nY2iCSvJl4C7g4CTrk5w16Jw0MEcBHwKOS3Jv+zl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"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "YgY29g_qtASq",
"colab_type": "text"
},
"source": [
" 4.4 Logistic Regression with hyperparameter tuning "
]
},
{
"cell_type": "code",
"metadata": {
"id": "Wb2tOE3GtASr",
"colab_type": "code",
"outputId": "d7e4fc88-7d4e-4313-cda7-462a2409292e",
"colab": {}
},
"source": [
"alpha = [10 ** x for x in range(-5, 2)] # hyperparam for SGD classifier.\n",
"\n",
"# read more about SGDClassifier() at http://scikit-learn.org/stable/modules/generated/sklearn.linear_model.SGDClassifier.html\n",
"# ------------------------------\n",
"# default parameters\n",
"# SGDClassifier(loss=’hinge’, penalty=’l2’, alpha=0.0001, l1_ratio=0.15, fit_intercept=True, max_iter=None, tol=None, \n",
"# shuffle=True, verbose=0, epsilon=0.1, n_jobs=1, random_state =None, learning_rate=’optimal’, eta0=0.0, power_t=0.5, \n",
"# class_weight=None, warm_start=False, average=False, n_iter=None)\n",
"\n",
"# some of methods\n",
"# fit(X, y[, coef_init, intercept_init, …])\tFit linear model with Stochastic Gradient Descent.\n",
"# predict(X)\tPredict class labels for samples in X.\n",
"\n",
"#-------------------------------\n",
"# video link: \n",
"#------------------------------\n",
"\n",
"\n",
"log_error_array=[]\n",
"for i in alpha:\n",
" clf = SGDClassifier(alpha=i, penalty='l2', loss='log', random_state=42)\n",
" clf.fit(X_train, y_train)\n",
" sig_clf = CalibratedClassifierCV(clf, method=\"sigmoid\")\n",
" sig_clf.fit(X_train, y_train)\n",
" predict_y = sig_clf.predict_proba(X_test)\n",
" log_error_array.append(log_loss(y_test, predict_y, labels=clf.classes_, eps=1e-15))\n",
" print('For values of alpha = ', i, \"The log loss is:\",log_loss(y_test, predict_y, labels=clf.classes_, eps=1e-15))\n",
"\n",
"fig, ax = plt.subplots()\n",
"ax.plot(alpha, log_error_array,c='g')\n",
"for i, txt in enumerate(np.round(log_error_array,3)):\n",
" ax.annotate((alpha[i],np.round(txt,3)), (alpha[i],log_error_array[i]))\n",
"plt.grid()\n",
"plt.title(\"Cross Validation Error for each alpha\")\n",
"plt.xlabel(\"Alpha i's\")\n",
"plt.ylabel(\"Error measure\")\n",
"plt.show()\n",
"\n",
"\n",
"best_alpha = np.argmin(log_error_array)\n",
"clf = SGDClassifier(alpha=alpha[best_alpha], penalty='l2', loss='log', random_state=42)\n",
"clf.fit(X_train, y_train)\n",
"sig_clf = CalibratedClassifierCV(clf, method=\"sigmoid\")\n",
"sig_clf.fit(X_train, y_train)\n",
"\n",
"predict_y = sig_clf.predict_proba(X_train)\n",
"print('For values of best alpha = ', alpha[best_alpha], \"The train log loss is:\",log_loss(y_train, predict_y, labels=clf.classes_, eps=1e-15))\n",
"predict_y = sig_clf.predict_proba(X_test)\n",
"print('For values of best alpha = ', alpha[best_alpha], \"The test log loss is:\",log_loss(y_test, predict_y, labels=clf.classes_, eps=1e-15))\n",
"predicted_y =np.argmax(predict_y,axis=1)\n",
"print(\"Total number of data points :\", len(predicted_y))\n",
"plot_confusion_matrix(y_test, predicted_y)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"For values of alpha = 1e-05 The log loss is: 0.592800211149\n",
"For values of alpha = 0.0001 The log loss is: 0.532351700629\n",
"For values of alpha = 0.001 The log loss is: 0.527562275995\n",
"For values of alpha = 0.01 The log loss is: 0.534535408885\n",
"For values of alpha = 0.1 The log loss is: 0.525117052926\n",
"For values of alpha = 1 The log loss is: 0.520035530431\n",
"For values of alpha = 10 The log loss is: 0.521097925307\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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X9VlJ4yqo4kngL5LeMLPDgZLq2nTOOedczYjmPghHAeOBzgRutQyApP7VFO0J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\neHXu3FmdOnXSCSecoOeee06SlJKSojZ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H6qxU5r4/l1dnvsrKPSvxqpfC+ELSv02nyRVN\n8Pq8rNu2jrZ92uJTH2s3r2XOpjl4fV4WrF2AirJgzwIOHDzApNWTIAoyv8ukqF4Rr6x6haL6Rbyw\n8AWat29O4YlCsg5mMeHbCWQUZLApfRMbztmAV718tv4zfmr/Ez71sfqb1QxbMAyf+lj36Tp86uPR\nLx5lT/YeBswaAFGQszWHA3KAfu/144DnALe+cSsNkhpQVFTE7uzd3Pjhjezdv5fU91OJvzKeelvr\nkbkqk6WNl+JTHwdXHCT91XS8Pi+5i3Px4WPOW3PIycrhzHFn4hMfhT8UUvBzAXH/HUdhQSHnjzkf\nTVQndc2CxEmJkAmTMyczbPcw54+zAmbWmelMr4TZE9z8dpnzMmPSDGfic2cb3AGzp/nlwFuBfXDt\n9KoPChbUjsDFpU4wVZiu7oksRmKqv+3TEMOOzB1c1PaikNXvVLcXJaf/yu7nn3/OGV3P4OWXXy5J\nEJYtWxZw2VatWpWM7gogIsUZ8aXAyEDrqOrzwPMBym/wm+4VZN2hwNAg790ZpPwQUG6EO7cH//Ag\n60wDpgUoXwt0iMB9BD3uwB9x+oxUKJQtCF2BTFX9HsBtSrkZJwutkH9ziKruE5Fs4GzcprDforp1\n6vJo90cZdtkwXlv7Gi+ueJGr3ryKCxtfyI9HfqTlSy1Rj5b8ksrfns+xHcc463/OKvmFlZ+WD81A\nLpKSX1MA1IHFIxfDjcAG4Bw4++9nlw6gEKdLS6w7PRPoCXNemwPbgUXAfdBrpt//8ePAPJgWNw1+\nAjbCus3rnO1kwB2T74AGwGzgDzB3wVxoBg/97SHoCCxwYnns08cgAbZN2fZLjIkwdtlYJE7Qucqq\n5quIyouiYGcBuT/n4hEPR344wgerPqBOozocXHKQs+8+m6M/HiXmwhhWLVpFo8sbsf/T/cS3j2d/\n3n7qdajHD1/8QOsWrTm45iCNL2pMfJ14ErsksvG1jTS7qhkNfm7AtkPb6NylM4KQNj2NjnU6Uj+h\nPh9nfEzvv/Qm4YIEPuv0GUm5SbRLbkf6snSaXNeEy7pdxvrs9eTszOHGP95IRnoGm7ttZlDvQeRc\nmMOs52Yx8pmR5B3OY2L+RMYMHUOURPFs2rM8ftnjJJybwJj3xjBi/AguaHMB6fPSSc9NZ+zsscTX\njS91gpk3dR7e5l7uvu/uUzqRrVyxkp49epbbhiABW5lqg8/zPye5S3K4w6hxnTp1IiUlBa/XW9Lh\nuTpUdXAIwjK/MiISA3yoqlsrXbY6ndmqGcQA4Do3i0FE7gK6+bcWuJcYxgE5wDZgpKruKbOdrjj3\ndrZXLd22KCLDcB4cwTnnnHPZrFmzTjrevLw86tevf9LrV1e+N58F+xaQ8VMG26Zv49zLzyXhogQ8\neFj90mqO7T9GUUERMfVi6HxPZ5p2aMqKf6ygfb/2NElqQpREOf+IwnfCx7LJyzj0wyFi68fSd3hf\nGjdpzPHc4yydspRbn7iVo9lHSX3FufylPqXDlR3oekNX4uvG8+rDr1JUVES9BvUAOL/N+dz24G1E\nEcVncz9j9ZLVeDwebht6Gx27dMQjHjas3cDsybPx+Xz07NOT/nf2xyMesrOyeXX8qxz76Rgtk1ry\n2JOPERcbR1FhES+9+BI7MnfQsEFD/vOZ/ySxaSIiwvTp0/nkk0/weDwMHz6cbt26AfDll18yceJE\nfD4f119/PYMHO99f+/btY+zYsRw9epTWrVvz1FNPERMTQ2FhIS+88ALbt2+nYcOGPPPMMzRt2hSA\n6dOn89FHH1GnTp2Q7qM69ejduzfnnnsudevWBZwm4eIOkKNGjeKBBx6gVatWp/Q5q+nP9a+B1bl6\nUlJSvvZrejbmFxqiUaBwroNM8Zu/C/hHmWXOAmLd6QeBpWXePw+nsbV7Zfs7XaM5hsM333yjgwcP\nrnS5YENGn6xIG/Xut1Lf/fv3a69evU7Ltn4rdT6drM7Vg43maP+C/AvlbY6V3hqjqofUuSUGYDJw\nWfF7ItIQ+Ah4Wp0nTdVa/k2DFfF/+I6pvXbv3s1LL70U7jCMMREulH0QvgJai0hLnLsUBuJ0jChR\nfFuMO3sTsNktjwE+wHkU5f+FMMZfjSFDhoQ7BPMrcfnllT7gzBhjQi5kCYKqFonICJzubx5gmjq3\nyzyH06Q1H3hERG7CuXXmMHCvu/rtwNXAWW4/BYB79ZfBP4wxxhgTQiF9DoKqfkyZey1V9Vm/6VEE\nuNVCVacD00MZmzHGGGOCs0ctG2OMMaYcSxCMMcYYU44lCMYYY4wpxxIEY4wxxpQTsicp1jQRyQF+\nOIVNJPDLoCWRItLqHGn1BatzpDiVOl+gqmdXvpiJNLUmQThVIrJWI+xxo5FW50irL1idI0Uk1tmE\nnl1iMMYYY0w5liAYY4wxphxLEH7xRrgDCINIq3Ok1ReszpEiEutsQsz6IBhjjDGmHGtBMMYYY0w5\nliAYY4wxppyITxBE5DoR2SoimSLy13DHE2oi0lxE0kVks4hsEpE/hzummiIiHhFZJyILwx1LTRCR\nRiIyV0S2uH/vK8IdU6iJyEj3c71RRGaKSFy4YzrdRGSaiGSLyEa/sjNFZLGIbHdfG4czRlM7RHSC\nICIeYCJwPXAxcKeIXBzeqEKuCPiLql4EdAeGR0Cdi/0Z2BzuIGrQBCBNVdsBv6OW111EmgGPAF1U\ntQPOMPMDwxtVSLwFXFem7K/AElVtDSxx5405JRGdIABdgUxV/V5VC4FZwM1hjimkVDVLVb9xp3/C\nOWk0C29UoSciiUA/YEq4Y6kJItIQuBqYCqCqhaqaG96oakQ0UFdEooF4YF+Y4zntVPUL4HCZ4puB\nt93pt4H+NRqUqZUiPUFoBuzxm99LBJwsi4lIC6ATsDq8kdSI/wWeAHzhDqSGtAJygDfdyypTRKRe\nuIMKJVX9Efg7sBvIAo6o6qfhjarGnKOqWeD8CACahDkeUwtEeoIgAcoi4r5PEakPzAMeVdWj4Y4n\nlETk90C2qn4d7lhqUDTQGZikqp2AY9TyZmf3uvvNQEugKVBPRAaHNypjfrsiPUHYCzT3m0+kFjZJ\nliUidXCSgxmq+n6446kBVwI3icgunMtIvURkenhDCrm9wF5VLW4dmouTMNRm1wA7VTVHVU8A7wP/\nFuaYasoBETkPwH3NDnM8phaI9AThK6C1iLQUkRicDk3zwxxTSImI4FyX3qyqL4c7npqgqqNUNVFV\nW+D8jZeqaq3+Zamq+4E9ItLWLeoNZIQxpJqwG+guIvHu57w3tbxjpp/5wD3u9D1AahhjMbVEdLgD\nCCdVLRKREcAinB7P01R1U5jDCrUrgbuADSKy3i17SlU/DmNMJjQeBma4ye/3wH1hjiekVHW1iMwF\nvsG5W2cdtfARxCIyE0gGEkRkLzAaGA/MEZH7cRKl28IXoakt7FHLxhhjjCkn0i8xGGOMMSYASxCM\nMcYYU44lCMYYY4wpxxIEY4wxxpRjCYIxxhhjyrEEwZggROQWEVERaedX1sJ/FL0g61W6TCXr31Q8\nsqiI/JeI3Huy2zLGmJNlCYIxwd0JLKeGRwRU1fmqOr4m92mMMWVZgmBMAO5YFVcC9xMkQRCRe0Uk\nVUTSRGSriIz2e9sjIpNFZJOIfCoidd11HhCRr0TkWxGZJyLxQbb7T3c2D8h3yx8RkQwR+U5EZp3O\n+hpjTFmWIBgTWH8gTVW3AYdFJNg4Bl2BQcClwG0i0sUtbw1MVNX2QC7wB7f8fVW9XFV/h/MY4Psr\nCkJV/66qs93ZvwKdVPUS4MGTrZgxxlSFJQjGBHYnzsBOuK93BllusaoeUtV8nMGBrnLLd6pq8aOs\nvwZauNMdRGSZiGzASSzaVyOm73AenTwY51HCxhgTMhE9FoMxgYjIWUAvnJO54ozToSLyRIDFyz6r\nvHi+wK/MC9R1p98C+qvqt27nw+RqhNYPuBq4CXhGRNqrqiUKxpiQsBYEY8obALyjqheoagtVbQ7s\n5JfWAX99RORMt49Bf2BFJdtuAGS5Q24PqmpAIhIFNFfVdOAJoBFQv6rrG2NMdVmCYEx5dwIflCmb\nB/wxwLLLgXeB9cA8VV1bybafAVYDi4Et1YjJA0x3L02sA15R1dxqrG+MMdViozkac5LcSwRdVHVE\nuGMxxpjTzVoQjDHGGFOOtSAYY4wxphxrQTDGGGNMOZYgGGOMMaYcSxCMMcYYU44lCMYYY4wpxxIE\nY4wxxpTz//GxuV19gAz6AAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "stream",
"text": [
"For values of best alpha = 1 The train log loss is: 0.513842874233\n",
"For values of best alpha = 1 The test log loss is: 0.520035530431\n",
"Total number of data points : 30000\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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GAN3NbDrQGTgrqvMMMBB4rGRaLyIi28vdhwBDElSxwjYrom4P4FV3z93uhomIiBRCPYBE\nRIqQxJ3dovQzs8nRELFaUVlRd4GLKt8NWOHuGwuUi4hI+ZEDNI1bbgLML6JuDzT8S0REUkgJIBGR\nIrj7EHc/KO6V6C5vzGPAHkB7YAFwf1Re1F3grS0XEZHyYyLQKprTrQohyTO6YCUz2wuoBYwv5faJ\niEgFogSQiEgJcvdF7p7r7puAJ9k8zKuou8BFlS8FappZ5QLlIiJSTkS9OPsB7wLTgZHuPtXMBpnZ\nyXFVexKGCSvRLyIiKaM5gERESpCZNXT3BdHiqUDsCWGjgRfN7AGgEdAK+JLQ06eVmbUA5hHuDp/l\n7m5mHwB/JTw15lxgVOmdiYiIlIToYQBjCpQNKLA8sDTbJCIiFZMSQCIi28jMXgI6AXXMLAe4Behk\nZu0Jw7XmABcDRHd8RwLTgI3A5bGJPs0sdnc4Cxju7lOjQ9wAjDCzfwLfAMNK6dRERERERCTDWLr2\nNDXTXBcSzJtX1i2QdNKoUaFz4yRta64t7tt3LEktxQmJUZyQeIoTEqM4ITGKExKvIscJzQEkIiIi\nIiIiIpLhlAASEREREREREclwSgCJiIiIiIiIiGQ4JYBEREREREREREqZmXU1s5lmlm1mNxay/l9m\n9m30+sHMVsSty41bNzqZ4+kpYCIiIiIiIiIipcjMsoBHgGOAHGCimY1292mxOu5+dVz9K4AOcbtY\n5+7tt+aY6gEkIiIiIiIiIlK6OgLZ7j7b3dcDI4DuCer3BF7angMqASQiIiIiIiIiUsLMrK+ZTYp7\n9Y1b3RiYG7ecE5UVtp/dgRbAuLjiqtE+J5jZKcm0R0PARKRCadeurFsgIiLpTHFCREQS2Zo48d13\nPgQYUsRqK6TMi6jbA3jV3XPjypq5+3wzawmMM7Mp7v5jovaoB5CIiIiIiIiISOnKAZrGLTcB5hdR\ntwcFhn+5+/zo52zgQ/LPD1QoJYBERERERERERErXRKCVmbUwsyqEJM8WT/Mys72AWsD4uLJaZrZj\n9L4OcDgwreC2BWkImIiIiIiIiIhIKXL3jWbWD3gXyAKGu/tUMxsETHL3WDKoJzDC3eOHh+0DPGFm\nmwgde+6Kf3pYUZQAEhEREREREREpZe4+BhhToGxAgeWBhWz3ObDf1h5PQ8BERERERERERDKcEkAi\nIiIiIiIiIhlOCSARERERERERkQynBJCIiIiIiIiISIZTAkhEREREREREJMMpASQiIiIiIiIikuGU\nABIRERERERERyXBKAImIiIiIiIiIZDglgEREREREREREMpwSQNto2DBYtAimTMlf3q8fzJgB338P\nd98dynbfHdauhW++Ca/HHttc/4MPQv3Yurp1Q/mf/gRffQUbNsBf/lJ0Ow44ACZPhlmzYPDgzeW1\nasF778EPP4SfNWtuXjd4cKj/3XfQocP2/TtIfosXL+Dqq8/h3HO70afPCbz66jP51r/88jCOPnov\nVq5cDsDYsaO54IKTuOCCk+jXrwfZ2TPy1c/NzeWii06hf/+LCz3e+vXrufXWq+jV6xguvfR0Fi7M\nyVv3wgtP0KvXMfTufRxffvlJXvmXX35M797H0avXMbz44pCSOnURKQHHHRdiwqxZcMMNW65/4IHN\n8WLmTPj11/zrq1WDnBx46KHNZWecEa738XFJ0l9x1+rRo1/i/PNP4sILu3PFFT2ZMyc7b11h1/9f\nfpnNhRd2z3udcMIBvPrq06V1OiJSQoqLE02bwrhx8PXX4drfrVsoP+uszfHjm28gNxf23x922gne\negumTw9x4s47S/d8ZNsVFye++24iffueSpcubfjoo//mlWdnT+fyy8+kT58TuOCCkxg3bkzeuq++\nGk/fvqfmxZZ5834ulXOR0qME0DZ6+mno2jV/WadO0L07tGsHbdvCffdtXvfjjyHZ0qEDXHpp/u16\n9dq8bsmSUPbLL9CnD7z4YuJ2PPYY9O0LrVqFV6xNN94I778PrVuHnzfeGMq7ddtct2/f/Mko2X5Z\nWVlceumNPPPMOzz66MuMGvVi3ofyxYsXMGnS59Sv3yivfsOGTXjwwecZNuw/nHPOpdx//8359vfa\na8/SrNkeRR5vzJhXqFatOi+8MJbTT+/DE0+EX7o5c7IZN+5tnnrqbe6+eyiDB99Kbm4uubm5DB48\niLvuGsrTT7/N+++/le9Lg4iUnUqV4JFHwnW6TRvo2RP22Sd/nWuu2RwvHnoIXn89//rbboOPPtq8\nXLs23HsvdOkS4lL9+tC5c+rPRbZPMtfqLl1OYvjw/zB06Ch69LiQRx8N39qKuv43a9aSoUNHMXTo\nKJ544nV23HEnjjjimLI4PRHZRsnEiX/8A0aODDeJe/SARx8N5S++uDl+nHMOzJkTEkQQvrPss09Y\nd/jhW37HkfSTTJyoX78hN9xwJ126nJivfMcdq9K//908/XSIE488cgdr1qwC4MEHB3LTTfcxdOgo\nunQ5keee05fFTKME0Db65BNYvjx/2aWXwl13wfr1YTmWzNkWP/8cehdt2lR0nQYNoHp1mDAhLD/7\nLJxySnjfvTs8E3U+eeaZ/OXPPhvef/FF6BnUoMG2t1Py2223erRuvS8AO++8K82atWTp0kUAPPLI\nnVx88XWA5dVv2/YAqlWrAUCbNu1ZunRh3rolSxYyYcKHnHDCX4s83mefjeO4404F4KijjuPrr8fj\n7nz22ft07nwCVapUoWHDpjRqtDszZkxmxozJNGq0O40aNWWHHarQufMJfPbZ+yX9zyAi26BjR8jO\nhp9+Cr0/R4wI1+yi9OwJL720efmAA0KC5733Npe1bBl6gi5dGpb/97/EvUolPSRzrd5ll13z3v/+\n+zrMQmwp6vof7+uvx9OoUVMaNGic+pMRkRKTTJxwD98PAGrUgPnzt9xPfPxYtw4+/DC837Ah9Bxq\n0iRlpyAlJJk40aBBE/bYY28qVcr/lb9p0xY0adIcgDp16lOzZm1WrAhfbM3gt9/WAOHnbrvVS/3J\nSKkq9QSQmZ1X2scsLa1bh6FbEyaEC+lBB21e16JFuKB++CEccUT+7Z56KnTF/Mc/tu54jRuHrv4x\nOTmhDMKXgIVRLmHhQqhXb/M2c+cWvo2UrIULc8jOns4+++zPZ5+9T5069dhzz72LrD9mzKt07Hhk\n3vLDD9/BxRdft8VFO97SpYuoV68hAFlZldl112qsWvVrVL45s1e3bn2WLl1UZLlIOsnkOJHI1lyf\nmzULcWXcuLBsBvffD9ddl79edjbsvXcYipyVFW4GNG2amvZLyUn2Wv3GGy/Qq9efeeKJe7niin8k\nve24cW9vcUdYpDxRnAgKixMDB8LZZ4d6Y8bAFVdsuZ8zz8x/AyGmRg046aQwekDSW0l9pp8+fTIb\nN26gUaNmAFx77e3079+X008/krFjR3HWWX1LrM2SHsqiB9CtRa0ws75mNsnMJkH5m5ukcuUw984h\nh4QP4SNHhvIFC8KH9QMOCN33X3wxzNMAYfhXu3YhcfSnP4Uumcky27LMveS3ka23bt1vDBhwJZdf\n/neysrJ4/vnHOe+8/yuy/jffTGDMmFfp2/daAMaP/4CaNWuz115tEx7HC/3Ps60qt8J+KUTKVsbG\niUS25vrcowe8+urmXqKXXRY+6MffFABYsSL0Tn355dBzdc4c2LixRJstKZDstfrUU3vxwgv/o2/f\na/O66Rd1/Y/ZsGE9n38+jqOO0hgPKdcUJyIF/+R79gxTVTRtCscfD889l3+7jh3D3KRTp+bfLisr\nJIX+/e/Qw0jSW0l8pl+2bDF33nkdN9xwZ94N51dffZo77xzCK698TNeup+UNL5bMUTkVOzWzyUWt\nAuoXtZ27DyG6UptR7tISOTmb52OYODF8MK9TJ3S9jw0X+/rrMB9Q69ZhkudYt8w1a0JiqGPHcKFO\n9njxXTSbNNm8v0WLwtCuhQvDz8WLN28Tf/c3fhspGRs3bmDAgCv5859P4sgjj2X27JksXJjDhReG\nPrpLliykb9/TeOyxV6hduy4//jiD++77B3fd9SQ1atQC4Pvvv+bzz8fxxRcfs379H6xdu4bbb7+W\nm266L9+x6tZtwOLFC6hbtwG5uRtZs2Y11avXjMrjh5Mtok6d0A2sYLm6dkpZqKhxIpGtuT736AGX\nX755+dBDw02Eyy6DXXeFKlVCXOnfP0zu+dZbod5FF4WJPyW9FXYNT3St7tz5BB58cGCR28au/wBf\nfPExrVvvS+3adUq+4SIlSHFiS8nEiQsu2DyHz4QJULVq+D4Sm5qiR4/Ce/8MGbLlQ2UkfW1tnCjo\nt9/W0L//xZx//lW0adMegBUrlvPjjzNo02Z/AI4++nhuuOHCkm24lLlU9QCqD/QGTirktSxFxyxz\nb765eXLNVq3CB/ClS8NFNzaKp0WLsG727JBp3223UF65Mpx4Yph9P1kLF8Lq1XDwwWG5d28YNSq8\nHz0azj03vD/33PzlvXuH9wcfDCtXbh4qJtvP3bnnnpvYffeWnHFG6J3csuVevPHGeEaMGMeIEeOo\nW7cBQ4a8Tu3adVm0aD4DBlxB//730LRpi7z9XHTR33jllY8ZMWIcAwY8QIcOh2yR/AE47LDOvPvu\nGwB89NG7dOhwCGbGYYd1Zty4t1m/fj0LFsxl3rw57L13O/beez/mzZvDggVz2bBhPePGvc1hh2lG\nWCkTFTJOJDJxYogPzZvDDjuED+mjR29Zr3Xr0Nt0/PjNZWefHYZ5tWgB114b5nrr3z+siz1dsmbN\nkCAaOjTlpyLbKZlrdU7OnLz3EyZ8SOPGuwMUef2PGTfubTp3PqFUzkNkOylOFJBMnPjllzDxP4Qh\nwFWrbk7+mMHpp4e5g+LddlsY/nXVVSk/BSkh2/OZfsOG9dx88+Uce2x3OnXqllderVp11qxZzdy5\noQvYpEmfJXwYjZRPKekBBLwF7Oru3xZcYWYfpuiYperFF8NTv+rUCWNsb7kFhg8PrylTwkTQsQTM\nkUfCoEGh231uLlxySXh07847w7vvhgt4VlaYnPPJJ8M2Bx0Eb7wRPuSfdBLcemt4gguE+YJij2+/\n9NLQzXOnneCdd8ILwmTUI0eGuwC//BIu9hCGCBx/fJgXYu1aOK9CjqBOne+//4qxY0fRsmXrvB4/\nF154DYccclSh9Z999hFWrVrBgw+GnsxZWVk88cTrhdaNGT58MHvt1ZbDD+/CCSf8lTvuuI5evY6h\nevUa3HzzvwBo0aIVRx/djfPOO56srCz+7/8GkJWVBcCVVw7g+usvZNOmXLp1+wstWrQqqdMX2RoZ\nHye2Vm4u9OsX4kJWVogn06aF6/+kSfCf/4R6PXtu+eE9kcGDw6N+IcSiWbNKvu1SsrKyKhd6rY6/\n/r/xxvN89dV4KleuTLVq1bnxxruBxNf/339fx1dffc411wwqy9MTSZbiRAHJxIm//S18n7j66jA8\nrE+fzdsfeWToRRQ/xKtx4zAP6fTpYaQCwMMPw7BhpXpqspWSiRMzZkzm5pv7sWbNKsaP/4CnnnqI\np59+mw8/fIfJkyexatUK/vvfcCP5xhvvYs899+Haa//JLbdciZlRrVoNrr/+jjI+UylpVvhY8bKX\naV02ZdvNm1fWLZB00qgR2zVp0f77J39t+e677TuWpJbihMQoTkg8xQmJUZyQGMUJiVeR44QeAy8i\nso3MbLiZLTaz7+PK7jWzGWY22czeMLOaUXlzM1tnZt9Gr8fjtjnQzKaYWbaZ/duiWfzMrLaZjTWz\nWdHPWqV/liIiIiIikgmUABIR2XZPAwUfpTMWaOvu7YAfgP5x63509/bR65K48seAvkCr6BXb543A\n++7eCng/WhYREREREdlqSgCJiGwjd/8YWF6g7D13jz1oewLQZIsN45hZQ6C6u4/3MCb3WeCUaHV3\n4Jno/TNx5SIiUk6YWVczmxn18iw0kW9mZ5jZNDObamYvlnYbRUSkYlACSESkCGbW18wmxb36buUu\nzgfeiVtuYWbfmNlHZvanqKwxkBNXJycqA6jv7gsAop/JP99TRETKnJllAY8A3YA2QE8za1OgTitC\nb9HD3X1fQM9iEhGRlEjVU8BERMo9dx8CDNmWbc3sJmAj8EJUtABo5u7LzOxA4E0z2xcKnRhOk1aK\niGSGjkBFO4oQAAAgAElEQVS2u88GMLMRhN6d0+LqXAQ84u6/Arj74lJvpYiIVAjqASQiUsLM7Fzg\nRKBXNKwLd//D3ZdF778CfgRaE3r8xA8TawLMj94vioaIxYaK6UuBiEgaSaKnaGNgbtxyfC/PmNZA\nazP7zMwmmFnBueVERERKhHoAiYiUoOiD+w3AUe6+Nq68LrDc3XPNrCVhsufZ7r7czFab2SHAF0Bv\n4KFos9HAucBd0c9RpXgqIiJSjCR6iibTy7MyISZ0ItwE+MTM2rr7ihJppIiISEQ9gEREtpGZvQSM\nB/YysxwzuwB4GKgGjC3wuPcjgclm9h3wKnCJu8cmkL4UGApkE3oGxeYNugs4xsxmAcdEyyIiUn7k\nAE3jluN7ecbXGeXuG9z9J2AmISEkIiJSotQDSERkG7l7z0KKhxVR9zXgtSLWTQLaFlK+DOiyPW0U\nEZEyNRFoZWYtgHlAD+CsAnXeBHoCT5tZHcKQsNml2koREakQ1ANIRERERCQF3H0j0A94F5gOjHT3\nqWY2yMxOjqq9Cywzs2nAB8B1sTnjRERESpJ6AImIiIiIpIi7jwHGFCgbEPfegWuil4iISMqoB5CI\niIiIiIiISIZTAkhEREREREREJMNpCJiIVCjt2pV1C0REJJ0pToiISCLlOU6oB5CIiIiIiIiISIZT\nAkhEREREREREJMMVmwAys13MrFL0vrWZnWxmO6S+aSIiUh4oToiISCKKEyIi6SGZHkAfA1XNrDHw\nPnAe8HQqGyUiIuWK4oSIiCSiOCEiUggz62pmM80s28xuLKLOGWY2zcymmtmLceXnmtms6HVuMsdL\nJgFk7r4WOA14yN1PBdoks3MREakQFCdERCQRxQkRkQLMLAt4BOhGuCb2NLM2Beq0AvoDh7v7vsBV\nUXlt4BbgYKAjcIuZ1SrumEklgMzsUKAX8HZUpqeHiYhIjOKEiIgkojghIrKljkC2u8929/XACKB7\ngToXAY+4+68A7r44Kj8OGOvuy6N1Y4GuxR0wmQTQVYSM0xvuPtXMWgIfJHU6IiJSEShOiIhIIooT\nIlIhmVlfM5sU9+obt7oxMDduOScqi9caaG1mn5nZBDPruhXbbqHYzLu7fwR8FDW+ErDU3a8sbjsR\nEakYFCdERCQRxQkRqajcfQgwpIjVVtgmBZYrA62ATkAT4BMza5vktltI5ilgL5pZdTPbBZgGzDSz\n64rbTkREKgbFCRERSURxQkSkUDlA07jlJsD8QuqMcvcN7v4TMJOQEEpm2y0kMwSsjbuvAk4BxgDN\ngHOS2E5ERCoGxQkREUlEcUJEZEsTgVZm1sLMqgA9gNEF6rwJHA1gZnUIQ8JmA+8Cx5pZrWjy52Oj\nsoSSSQDtYGY7EC7Yo9x9A0l0LRIRkQpDcUJERBJRnBARKcDdNwL9CImb6cDIaJ60QWZ2clTtXWCZ\nmU0jzJ12nbsvc/flwG2EJNJEYFBUllAys+8/AcwBvgM+NrPdgVVbd2oiIpLBFCdERCQRxQkRkUK4\n+xhCz8j4sgFx7x24JnoV3HY4MHxrjpfMJND/Bv4dV/SzmR29NQcREZHMpTghIiKJKE6IiKSHZHoA\nYWYnAPsCVeOKB6WkRSIiUu4oToiISCKKEyIiZS+Zp4A9DpwJXEF41NjpwO4pbpeIiJQTihMiIpKI\n4oSISHpIZhLow9y9N/Cru98KHEr+x42JiEjFpjghIiKJKE6IiKSBZBJA66Kfa82sEbABaJG6JomI\nSDmjOCEiIokoToiIpIFk5gB6y8xqAvcCXxMe2Tg0pa0SEZHyRHFCREQSUZwQEUkDyTwF7Lbo7Wtm\n9hZQ1d1XprZZIiJSXihOiIhIIooTIiLpocgEkJmdlmAd7v56apokIiLlgeKEiIgkojghIpJeEvUA\nOinBOgd0wRYRqdgUJ0REJBHFCRGRNFJkAsjdzyvNhoiISPmiOCEiIokoToiIpJcinwJmZteY2QWF\nlF9hZleltlkiIpLuFCdERCQRxQkRkfSS6DHw5wPPFVI+JFonIiIVm+KEiIgkojghIpJGEiWA3N3X\nF1L4B2Cpa5KISPlgZsPNbLGZfR9XVtvMxprZrOhnrajczOzfZpZtZpPN7IC4bc6N6s8ys3Pjyg80\nsynRNv82s3S79ipOiIhIIooTIiJpJFECCDOrn0yZiEgF9TTQtUDZjcD77t4KeD9aBugGtIpefYHH\nICSMgFuAg4GOwC2xpFFUp2/cdgWPVeYUJ0REJBHFCRGR9JEoAXQv8LaZHWVm1aJXJ+A/wH2l0joR\nkTTm7h8DywsUdweeid4/A5wSV/6sBxOAmmbWEDgOGOvuy939V2As0DVaV93dx7u7A8/G7StdKE6I\niEgiihMiImkk0VPAnjWzJcAgoC3hUY1TgVvc/Z1Sap+ISJkxs76EHjgxQ9x9SDGb1Xf3BQDuvsDM\n6kXljYG5cfVyorJE5TmFlKcNxQkREUlEcUJEJL0UmQACiC7MujiLSIUUJXuKS/gkq7C5DnwbytOK\n4oSIiCSiOCEikj4SzgEkIiJbbVE0fIvo5+KoPAdoGlevCTC/mPImhZSLiIiIiIhsNSWARERK1mgg\n9iSvc4FRceW9o6eBHQKsjIaKvQsca2a1osmfjwXejdatNrNDoqd/9Y7bl4iIiIiIyFZJOARMRESK\nZmYvAZ2AOmaWQ3ia113ASDO7APgFOD2qPgY4HsgG1gLnAbj7cjO7DZgY1Rvk7rGJpS8lPGlsJ0L3\neXWhFxERERGRbVJkAsjMrkm0obs/UPLNEREpP9y9ZxGruhRS14HLi9jPcGB4IeWTCJNmpiXFCRGR\n4plZV2AwkAUMdfe7CqzvQ3ha1ryo6GF3H1qqjUwRxQkRkfSSqAdQtVJrhYiIlEeKEyIiCZhZFvAI\ncAxhbreJZjba3acVqPqyu/cr9QamnuKEiEgaSfQY+FtLsyEiIlK+KE6IiBSrI5Dt7rMBzGwE0B0o\nmADKSIoTIiLppdg5gMysKnABsC9QNVbu7uensF3897+p3LuUJ1OmlHULJJ00alTWLZCCyipOzJtX\nfB2pGBo3LusWSDpxL71jmVlfoG9c0RB3HxK33BiYG7ecAxxcyK7+YmZHAj8AV7v73ELqlFtlFSfO\nPjuVe5fy5IUXyroFkk6uu66sW1B2kpkE+jlgBnAcMAjoBUxPZaNERFKlXbuybkFGUpwQkYyxNXEi\nSvYMSVDFCtuswPJ/gJfc/Q8zuwR4BuicfCvKBcUJEckY5fn7RDKPgd/T3W8GfnP3Z4ATgP1S2ywR\nESlHFCdERAqXAzSNW24CzI+v4O7L3P2PaPFJ4MBSaltpUpwQEUkDySSANkQ/V5hZW6AG0DxlLRIR\nkfJGcUJEpHATgVZm1sLMqgA9gNHxFcysYdziyWRmzxjFCRGRNJDMELAhZlYLuJkQsHYFBqS0VSIi\nUp4oToiIFMLdN5pZP+BdwmPgh7v7VDMbBExy99HAlWZ2MrARWA70KbMGp47ihIhIGig2AeTuQ6O3\nHwEtU9scEREpbxQnRESK5u5jgDEFygbEve8P9C/tdpUmxQkRkfSQzFPAdgT+QuimmVff3Qelrlki\nIlJeKE6IiEgiihMiIukhmSFgo4CVwFfAH8XUFRGRikdxQkREElGcEBFJA8kkgJq4e9eUt0RERMor\nxQkREUlEcUJEJA0k8xSwz81Mj2kUEZGiKE6IiEgiihMiImkgmR5ARwB9zOwnQpdNA9zd26W0ZSIi\nUl4oToiISCKKEyIiaSCZBFC3lLdCRETKM8UJERFJRHFCRCQNFDkEzMyqR29XF/ESEZEKTHFCREQS\nUZwQEUnMzLqa2UwzyzazGxPU+6uZuZkdFC03N7N1ZvZt9Ho8meMl6gH0InAiYbZ+J3TVjHGgZTIH\nEBGRjKU4ISIiiShOiIgUwcyygEeAY4AcYKKZjXb3aQXqVQOuBL4osIsf3b391hyzyASQu58Y/Wyx\nNTsUEZGKQXFCREQSUZwQEUmoI5Dt7rMBzGwE0B2YVqDebcA9wLXbe8Bi5wAyswMKKV4J/OzuG7e3\nASIiUr4pToiISCKKEyJSUZlZX6BvXNEQdx8SvW8MzI1blwMcXGD7DkBTd3/LzAomgFqY2TfAKuAf\n7v5Jce1JZhLoR4EDgMmEbpv7Ad8Bu5nZJe7+XhL7EBGRzKU4ISIiiShOiEiFFCV7hhSx2gop87yV\nZpWAfwF9Cqm3AGjm7svM7EDgTTPb191XJWpPkZNAx5kDdHD3g9z9QKA98D3wZ0I3JBERqdjmoDgh\nIiJFm4PihIhIQTlA07jlJsD8uOVqQFvgQzObAxwCjDazg9z9D3dfBuDuXwE/Aq2LO2AyCaC93X1q\nbCGakKhDbJyaiIhUeIoTIiKSiOKEiMiWJgKtzKyFmVUBegCjYyvdfaW713H35u7eHJgAnOzuk8ys\nbjSJNGbWEmgFFHtNTWYI2EwzewwYES2fCfxgZjsCG7bi5EREJDMpToiISCKKEyIiBbj7RjPrB7wL\nZAHD3X2qmQ0CJrn76ASbHwkMMrONQC5wibsvL+6YySSA+gCXAVcRxqh9Sph9egNwdBLbi4hIZuuD\n4oSIiBStD4oTIiJbcPcxwJgCZQOKqNsp7v1rwGtbe7xiE0Duvg64P3oVtGZrDygiIplFcUJERBJR\nnBARSQ9FJoDMbKS7n2FmU4ibiTrG3dultGUiIpLWFCdERCQRxQkRkfSSqAfQ/0U/TyyNhoiISLmj\nOCEiIokoToiIpJEiE0DuviCaVXqYu/+5FNskIiLlgOKEiIgkojghIpJeEj4G3t1zgbVmVqOU2iMi\nIuWI4oSIiCSiOCEikj6SeQrY78AUMxsL/BYrdPcrU9YqEREpTxQnREQkEcUJEZE0kEwC6O3oJSIi\nUhjFCRERSURxQkQkDSSTAHoZ2JMwc/+P7v57apskIlI+mNlehGtkTEtgAFATuAhYEpX/3d3HRNv0\nBy4AcoEr3f3dqLwrMBjIAoa6+12lchIlQ3FCREQSUZwQEUkDiR4DXxm4Azgf+JkwX1ATM3sKuMnd\nN5ROE0VE0pO7zwTaA0STXM4D3gDOA/7l7vfF1zezNkAPYF+gEfA/M2sdrX4EOAbIASaa2Wh3n1Yq\nJ7KNFCdERCQRxQkRkfSSaBLoe4HaQAt3P9DdOwB7EO5s35dgOxGRiqgL4a7mzwnqdAdGuPsf7v4T\nkA10jF7Z7j7b3dcDI6K66U5xQkREElGcEBFJI4kSQCcCF7n76liBu68CLgWOT3XDRETKmpn1NbNJ\nca++Car3AF6KW+5nZpPNbLiZ1YrKGgNz4+rkRGVFlac7xQkREUlEcUJEJI0kSgC5u3shhbmE8bsi\nIhnN3Ye4+0FxryGF1TOzKsDJwCtR0WOEO5ztgQXA/bGqhR0mQXm6U5wQEZFEFCdERNJIogTQNDPr\nXbDQzM4GZqSuSSIi5U434Gt3XwTg7ovcPdfdNwFPEoZ4QejZ0zRuuybA/ATl6U5xQkREElGcEBFJ\nI4meAnY58LqZnQ98RcjS/z9gJ+DUUmibiEh50ZO44V9m1tDdF0SLpwLfR+9HAy+a2QOESaBbAV8S\negC1MrMWhImkewBnlVLbt4fihIiIJKI4ISKSRopMALn7POBgM+tMeGKNAe+4+/ul1TgRkXRnZjsT\nnt51cVzxPWbWnvBBd05snbtPNbORwDRgI3B51A0eM+sHvEt4DPxwd59aaiexjRQnREQkEcUJEZH0\nkqgHEADuPg4YVwptEREpd9x9LbBbgbJzEtS/Hbi9kPIxwJgSb2ApUJwQEZFEFCdERNJDsQkgEZFM\n0q5dWbdARETSmeKEiIgkUp7jRKJJoEVEREREREREJAMoASQiIiIiIiIikuGUABIRERERERERyXBK\nAImIiIiIpIiZdTWzmWaWbWY3Jqj3VzNzMzuoNNsnIiIVhxJAIiIiIiIpYGZZwCNAN6AN0NPM2hRS\nrxpwJfBF6bZQREQqEiWARERERERSoyOQ7e6z3X09MALoXki924B7gN9Ls3EiIlKxKAEkIiIiIrIN\nzKyvmU2Ke/UtUKUxMDduOScqi99HB6Cpu7+V4uaKiEgFV7msGyAiIiIiUh65+xBgSIIqVthmeSvN\nKgH/AvqUbMtERES2pB5AIiIiIiKpkQM0jVtuAsyPW64GtAU+NLM5wCHAaE0ELSIiqaAEkIiIiIhI\nakwEWplZCzOrAvQARsdWuvtKd6/j7s3dvTkwATjZ3SeVTXNFRCSTKQEkIiIiIpIC7r4R6Ae8C0wH\nRrr7VDMbZGYnl23rRESkotEcQCIiIiIiKeLuY4AxBcoGFFG3U2m0SUREKiYlgErIwIGd2XHHXahU\nqRKVKmVx3XWvM2bMQ4wfP5Jdd60NwIknXsO++x7FsmU53HHH8dSr1wKA5s3358wzBwHw6KMXsGrV\nEjZtymWPPQ7k9NNvoVKlrHzHcndee+12pk37iCpVqtKr1100bbovAF988QbvvfcYAMceeykHH3wq\nAL/88j0vvNCfDRt+p02bo/jLX27CrLB5CWV7Ffa7EPP++8MYNeoe7rhjPLvuWpv33x/KpEn/AWDT\nplwWLvyRO+4Yz/r163juuetZvXopZpU47LAz6NTp3C2Opd8Fkczy5Zcf8/DDt5Obu4kTTjids87K\n/0ChkSOfYsyYV8jKyqJGjdpcf/0dNGgQHijUpcs+tGjRGoD69Rty++2PA/DGG8/z6qvPMH/+L7z5\n5nhq1Khduicl2+S442DwYMjKgqFD4e67t6xz+ukwcCC4w3ffQa9eofyuu+CEE8L7226DkSPD+6FD\n4aCDwAx++AH69IHffiuNsxGRkrLffnDOOVCpEnz4IbxV4Nlxf/oT9OgBv/4alseOhY8+Cu+POAK6\ndw/vR42CTz/Nv+3VV0O9etC/f0pPQUpI8+bQpUu4pk+eDF9+WXi91q3D//uzz8KiReF359hjoUGD\nED/GjYO50bMKK1WCP/8ZmjYN6z79NMQLyRxKAJWgK654Ji/ZE9OpUx+6dLlgi7p16jTjhhtGbVF+\n3nmD2WmnXXF3hg+/km+++S8HHnhCvjrTpn3MkiVzuPnm95gz5ztGjhzI3/72Cr/9toL//vdhrr32\nNcyMe+89jf3268zOO9dg5MiB9OgxiObN2/P44xcxffrHtGlzVMn+A0iewn4Xfv11ATNnfk6tWo3y\nyrp0uZAuXS4EYMqUcXz44dPssktNNm5cz6mn3kjTpvvy++9ruPfev7DXXofTsOGe+fap3wWRzJGb\nm8vgwYO4996nqFu3Ppdc8lcOO6wzzZtv/rtv1WofHn/8NapW3YlRo17kiSfu5ZZbHgSgSpWqDB26\nZVxp2/YADj20E1dd1bvUzkW2T6VK8MgjcMwxkJMDEyfC6NEwffrmOnvuGb6kHX44rFgBdeuG8uOP\nhwMOgPbtYccdwxe/d96B1avDl7vVq0O9+++Hfv0KTyyJSHoyg3PPDX+3y5fDoEHw9dcwf37+el98\nEb7sx9tlFzj1VBgwIHyxv+22sO3atWH9QQfB77+XznnI9jMLMWLkyHBdP+cc+PFHWLYsf70ddggx\nIf53ZP/9w8+nn4add4a//AWeey6UHXpo+J0YNiws77RTyk9FSpnmAEozO+20KwCbNm1k48YNhfbM\nmDLlfTp2PAUzo0WL9qxbt4qVKxczY8an7LXX4eyyS0123rkGe+11ONOnf8LKlYv5/fc1tGjRATOj\nY8dTmDz5/dI+tQrv9dfvpHv364rsbfP1129z4IEnAlCjRr28njxVq+5K/fotWbly0Rbb6HdBJHPM\nmDGZRo12p1GjpuywQxU6dz6Bzz7L//fZocMhVK0aPo21adOeJUsWFrvfVq3a0KBBk5S0WVKjY0fI\nzoaffoING2DEiM137WMuuigkiVasCMtLloSfbdqEpE9ubvgQ/9130LVrWBdL/kD4UO+OiJQje+wR\nenAsWRL+xidMgAMPTG7b/faD778Pvf7Wrg3v27UL63bcMVwnRm15D0HSVMOGoZfXypWwaRPMmBFu\nDBR0xBGhZ9DGjZvLdtsNfvklvF+7Fv74I/QGAmjbNiQQY9atS905SNlIWQLIzPY2sy5mtmuB8q6p\nOmZZe/TRC7jnntP47LOX88o++eQF7rrrJF54oT9r167MK1+2LIe77z6FwYPP5scfJ22xn7///TCq\nVt2F9u2P2+I4K1cuombNBnnLNWs2YOXKRaxYsYhateLL67NixaIi60vqFPxdmDLlfWrWrEfjxnsX\nWn/9+nVMn/4J++9/7Bbrli3LYd686ey++/5brNPvgpRnFTFOJLJ06SLq1dv891m3bn2WLi3673PM\nmFc5+OAj85bXr/+Diy8+jcsuO4NPP/1fStsqqdW48ebu+BB6ATVunL9O69bh9emnMH58GDIGIeHT\nrVtI8Oy2Gxx9dOjKHzN8OCxcCHvvDQ89lPpzEdkeihP51aoVev7ELF8eygr6f/8Pbr8drrgCakcd\n0mvX3nLb2Lq//jX0FFy/PnVtl5K16675k/qrV4eyePXqQfXqMHt2/vLFi0OyyAxq1ID69UO9HXcM\n6484Anr3hpNPDj2EJLOkJAFkZlcCo4ArgO/NLP6+1R0JtutrZpPMbNKYMUNS0bSUufrql7j++je4\n9NIn+eSTF8jOnsgRR/RkwICxXH/9KGrUqMcbb9wFQPXq9bj11g+44YY3OfXUG3nmmb+xbt2avH1d\ndtkw/vnPT9m4cT0//DBhi2N5obfsDNiy3MwS1JdUKOx34b33Huf44/+vyG2+//4DWrQ4gF12qZmv\n/I8/fmPYsCs57bS/5/UOi6ffBSmvSiJOPP98+YoTxSns77OoHoNjx45i5szvOfPMC/PKXn75A554\n4nX+8Y/7efjhO5g375eUtVVSq7D/9oK/HpUrQ6tW0KkT9OwZ5vepUSPM9zFmDHz+Obz0UkgOxd/5\nPf98aNQoDCc788yUnobIdimJODFrVmbFiWSuDd98E4Z73nQTTJ0KF19c9P7coVmzkAD46quSbauU\nvaOPhg8+2LJ8ypSQMOrdO9SZPz/0IqpUKSSC5s0LQwjnzw8xRjJLqnoAXQQc6O6nAJ2Am80s9u23\nyG+b7j7E3Q9y94OOP75vUdXSUo0a9QGoVm032rU7hp9/nkz16nWoVCmLSpUqceihp/PLL1MA2GGH\nKuyyS0jXN2vWljp1mrFkyU/59rfDDjvStm1npkzZcnhOzZoNWLFic7f/FSsWUqNGPWrWbMCvv8aX\nL8orL6y+pEbB34Xs7C+jHl/dGTiwMytWLOTee09j1aoleduE4V/553rKzd3AsGFXctBBJxXaMwj0\nuyDl2nbHibPPLl9xojh16zZg8eLNf59Llixit922/Pv86qvPef75x7n99seoUqVKXnmdOuHa06hR\nU9q370h29rTUN1pSIicnf6+dJk22nOMjJycM19i4EebMgZkzQ0II4I47oEOHMMmnGcyalX/bTZvg\n5ZfDvA8iaWy740SrVpkVJ+J77UB4HxsGGrNmzeak7wcfhImCi9r211/DdaN5c3jgAbj55jAU6O9/\nT+VZSElYswaqVdu8XK1aKIupUgXq1AkTgvftGxL/p50Wkn3u4XfjmWfgzTdDz59ffw3Dvdav3zzp\n88yZob6klpl1NbOZZpZtZjcWsv4SM5tiZt+a2adm1iZuXf9ou5lmtuXQoUKkKgGU5e5rANx9DuGi\n3c3MHiADuxv88cdafv99Td77GTM+o2HDVqxcuTivzuTJ/6Nhw/DJbPXq5WzalAvA0qVzWbJkDrvt\n1pQ//vgtb5vc3I1Mm/YR9eu33OJ4++3XmS+/fBN356efvqVq1WrUqFGPvfc+ghkzPmXt2pWsXbuS\nGTM+Ze+9j6BGjXpUrboLP/30Le7Ol1++yX77dUn1P0uFVNjvQrNm+3HHHeMZOHAcAweOo2bNBlx3\n3etUrx5m7Fy3bjXZ2RPz/Z+4Oy++eBP167ekc+fzijyefhekHKtQcSIZe++9H/PmzWHBgrls2LCe\ncePe5rDDOuerM2vWNB54YMD/b+/ug+2qyjuOf38EQUAFbBXlpUgxgMHUIApMo1BRQ0DetMCAithi\nowgDDjUOthaBDiNSi1NHfAmSqSia2ioaNTQCUhEKmhACIYAlxLcY0CqWgKIxydM/9r7J4XLuzdu9\nuTfnfj8zZ87ea6+99zo3Z/aT8+y11ubSSz/Jrrv+0dryxx9/jJVt3/3HHnuUe+9dwN57d5kMQFuF\nefPW/Sh7xjOa/8DPnv3UOl/9anPnFpqhXvvt13Tz32abdT/yJk5s5vj41rea9X33Xbf/ccc1c0ZI\no5hxop+lS5sEzfOe1zwh8LDDmomcO+2887rlzsl/Fy1qrgk77ti8Jk5sym66Cc49F84/v5kY+pFH\nmiSyRreHH26G/+28c3PdP+CAZu64PitXNvPEzZjRvJYvh698pZlDatttm9gCsPfezU2BvsmjH3qo\n6RUGzXv/SaU1tJKMA64EjgYmAKd1JnhaX6iqiVU1CbgcuKLddwJwKnAgMBX4RHu8QQ3XU8AeSTKp\nqhYCVNUTSY4FZgITh+mcI+bxx3/FZz5zNtA8yvvgg49lwoTDueaa6fzsZw+QwHOfu8faR70/9NA8\n5sz5WNs7aBynnHIxO+20CytW/JKrrjqLVatWsmbNGvbb7zAmTz4VgFtv/SIAr3rVaUyYcASLF3+H\nSy55PdtttwNveUtzld5pp1046qh385GPnATA1Klnrx1SdMopF3Htte9n5crfMWHC4UyYcDgaegN9\nFwZzzz03cMABk9l++3WDbJcuvZN5877G7rvvx4c/3PR4PvbY8znwwCP8LqhXjKk4sSHGjduWc8+9\nkPe97x2sWbOao4/+S/bZZzwzZ/4L++//UiZPfi2f+tTlPPnkb7noouYmeN/j3n/844e44ooPrh3q\nedppf7P26WFf/vI1zJr1GR599JeceebxHHroEUyffulIflStx+rVzRO65s5tfuTNnAn33QcXXwzz\n529bFN8AAA7aSURBVMPXv95smzKlGeKxejVMn97c4d9+e/jud5vjrFgBb31rsz1p7vY+5znN8t13\nw1lnjeznlNbDONHPmjXN0Jzp05sf/bfc0gzXedObmknj77qrmQ/soIOauk880fz4h2by569+tXly\nGMB11zVl2jpVwY03NvM3bbNNk8z71a+aJ0M+8kiTyBnIjjvCySc3x3jiiWbYcJ9bbmmeJnnkkc0E\n0ddfP/yfZYw7BFhSVUsBkswCTgDWduOuqhUd9Xdi3VwfJwCzqur3wA+TLGmPd/tgJ0z3OUE2T5I9\ngVVV9bTHkySZXFW3re8Yc+d2mcRE0ph31FGbd9dvY64tm3suDWwo4sTy5cYJNfpPkKyxrco40QuG\nIk6cfrpxQo2+J55JANOnb7k4MXVq3gl0jkedUVUzAJKcBEytqne066cDh1bVOZ3HSHI2cD6wHXBk\nVT2Y5OPAHVX1+bbO1cD1VfUfg7VnWHoAVdWyQbat92ItSeptxglJ0mCME5J6QZvsGWhG+m6JqKcl\nl6rqSuDKJG8GPgCcsaH79jdsj4GXJEmSJElSV8uAjsc+sCewfIC6ALOAEzdxX8AEkCRJkiRJ0pY2\nDxifZJ8k29FM6vyUxz4kGd+x+gag79mes4FTk2yfZB9gPPD99Z1wuCaBliRJkiRJUhdVtSrJOcBc\nYBwws6oWJ7kEmF9Vs4FzkrwO+APwa5rhX7T1vkQzYfQq4OyqWr2+c5oAkiRJkiRJ2sKqag4wp1/Z\nhR3L5w2y76XARj3a1SFgkiRJkiRJPc4EkCRJkiRJUo8zASRJmyHJj5IsSrIwyfy27LlJbkjyYPu+\na1ueJB9LsiTJPUle3nGcM9r6DyY5Y6Q+jyRJkqTeZAJIkjbfa6pqUlW9ol2/ALipqsYDN7XrAEfT\nzNA/HpgGfBKahBHwQeBQ4BDgg31JI0mSJEkaCiaAJGnonQB8tl3+LHBiR/k11bgD2CXJC4GjgBuq\n6tGq+jVwAzB1SzdakiRJUu8yASRJA0gyLcn8jte0LtUK+FaSOzu271ZVDwO0789vy/cAftqx77K2\nbKBySZIkSRoSPgZekgZQVTOAGeupNrmqlid5PnBDkgcGqZtupxmkXJIkSZKGhD2AJGkzVNXy9v0X\nwHU0c/j8vB3aRfv+i7b6MmCvjt33BJYPUi5JkiRJQ8IEkCRtoiQ7JXl23zIwBbgXmA30PcnrDOBr\n7fJs4G3t08AOAx5rh4jNBaYk2bWd/HlKWyZJkiRJQ8IhYJLGlIkTh/RwuwHXJYHmevqFqvrPJPOA\nLyU5E/gJcHJbfw5wDLAE+C3wVwBV9WiSfwTmtfUuqapHh7SlkqQNMsRxQpLUY7bmOGECSJI2UVUt\nBV7WpfxXwGu7lBdw9gDHmgnMHOo2SpIkSRI4BEySJEmSJKnnmQCSJEmSJEnqcSaAJEmSJEmSepwJ\nIEmSJEmSpB5nAkiSJEmSJKnHmQCSJEmSJEnqcSaAJEmSJEmSepwJIEmSJEmSpB5nAkiSJEmSJKnH\nmQCSJEmShkmSqUl+kGRJkgu6bH9XkkVJFia5NcmEkWinJKn3mQCSJEmShkGSccCVwNHABOC0Lgme\nL1TVxKqaBFwOXLGFmylJGiNMAEmSJEnD4xBgSVUtraqVwCzghM4KVbWiY3UnoLZg+yRJY8i2I90A\nSZIkaWuUZBowraNoRlXN6FjfA/hpx/oy4NAuxzkbOB/YDjhyGJoqSZIJIEmSJGlTtMmeGYNUSbfd\nuhznSuDKJG8GPgCcMTQtlCRpHYeASZIkScNjGbBXx/qewPJB6s8CThzWFkmSxiwTQJIkSdLwmAeM\nT7JPku2AU4HZnRWSjO9YfQPw4BZsnyRpDHEImCRJkjQMqmpVknOAucA4YGZVLU5yCTC/qmYD5yR5\nHfAH4Nc4/EuSNExMAEmSJEnDpKrmAHP6lV3YsXzeFm+UJGlMcgiYJEmSJElSjzMBJEmSJEmS1ONM\nAEmSJEmSJPU4E0CSJEmSJEk9zgSQJEmSJElSjzMBJEmSJEmS1ONMAEmSJEmSJG1hSaYm+UGSJUku\n6LL98CQLkqxKclK/bauTLGxfszfkfNsOVcMlSZIkSZK0fknGAVcCrweWAfOSzK6q+zqq/QR4O/De\nLod4sqombcw5TQBJkiRJkiRtWYcAS6pqKUCSWcAJwNoEUFX9qN22ZihO6BAwSZIkSZKkIZZkWpL5\nHa9pHZv3AH7asb6sLdtQz2yPeUeSEzdkB3sASZIkSZIkDbGqmgHMGGBzuu2yEYf/k6panuRPgW8n\nWVRVDw22gz2AJGkTJdkryc1J7k+yOMl5bflFSX7WMSnbMR37vL+d5O0HSY7qKB90AjhJkiRJPWUZ\nsFfH+p7A8g3duaqWt+9Lgf8CDlrfPvYAkqRNtwr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"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "ouQSEnr3tASy",
"colab_type": "text"
},
"source": [
" 4.5 Linear SVM with hyperparameter tuning "
]
},
{
"cell_type": "code",
"metadata": {
"id": "AOFfZ5PLtAS0",
"colab_type": "code",
"outputId": "d31eb598-e275-48cb-c49b-98e9eb76d8ba",
"colab": {}
},
"source": [
"alpha = [10 ** x for x in range(-5, 2)] # hyperparam for SGD classifier.\n",
"\n",
"# read more about SGDClassifier() at http://scikit-learn.org/stable/modules/generated/sklearn.linear_model.SGDClassifier.html\n",
"# ------------------------------\n",
"# default parameters\n",
"# SGDClassifier(loss=’hinge’, penalty=’l2’, alpha=0.0001, l1_ratio=0.15, fit_intercept=True, max_iter=None, tol=None, \n",
"# shuffle=True, verbose=0, epsilon=0.1, n_jobs=1, random_state=None, learning_rate=’optimal’, eta0=0.0, power_t=0.5, \n",
"# class_weight=None, warm_start=False, average=False, n_iter=None)\n",
"\n",
"# some of methods\n",
"# fit(X, y[, coef_init, intercept_init, …])\tFit linear model with Stochastic Gradient Descent.\n",
"# predict(X)\tPredict class labels for samples in X.\n",
"\n",
"#-------------------------------\n",
"# video link: \n",
"#------------------------------\n",
"\n",
"\n",
"log_error_array=[]\n",
"for i in alpha:\n",
" clf = SGDClassifier(alpha=i, penalty='l1', loss='hinge', random_state=42)\n",
" clf.fit(X_train, y_train)\n",
" sig_clf = CalibratedClassifierCV(clf, method=\"sigmoid\")\n",
" sig_clf.fit(X_train, y_train)\n",
" predict_y = sig_clf.predict_proba(X_test)\n",
" log_error_array.append(log_loss(y_test, predict_y, labels=clf.classes_, eps=1e-15))\n",
" print('For values of alpha = ', i, \"The log loss is:\",log_loss(y_test, predict_y, labels=clf.classes_, eps=1e-15))\n",
"\n",
"fig, ax = plt.subplots()\n",
"ax.plot(alpha, log_error_array,c='g')\n",
"for i, txt in enumerate(np.round(log_error_array,3)):\n",
" ax.annotate((alpha[i],np.round(txt,3)), (alpha[i],log_error_array[i]))\n",
"plt.grid()\n",
"plt.title(\"Cross Validation Error for each alpha\")\n",
"plt.xlabel(\"Alpha i's\")\n",
"plt.ylabel(\"Error measure\")\n",
"plt.show()\n",
"\n",
"\n",
"best_alpha = np.argmin(log_error_array)\n",
"clf = SGDClassifier(alpha=alpha[best_alpha], penalty='l1', loss='hinge', random_state=42)\n",
"clf.fit(X_train, y_train)\n",
"sig_clf = CalibratedClassifierCV(clf, method=\"sigmoid\")\n",
"sig_clf.fit(X_train, y_train)\n",
"\n",
"predict_y = sig_clf.predict_proba(X_train)\n",
"print('For values of best alpha = ', alpha[best_alpha], \"The train log loss is:\",log_loss(y_train, predict_y, labels=clf.classes_, eps=1e-15))\n",
"predict_y = sig_clf.predict_proba(X_test)\n",
"print('For values of best alpha = ', alpha[best_alpha], \"The test log loss is:\",log_loss(y_test, predict_y, labels=clf.classes_, eps=1e-15))\n",
"predicted_y =np.argmax(predict_y,axis=1)\n",
"print(\"Total number of data points :\", len(predicted_y))\n",
"plot_confusion_matrix(y_test, predicted_y)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"For values of alpha = 1e-05 The log loss is: 0.657611721261\n",
"For values of alpha = 0.0001 The log loss is: 0.489669093534\n",
"For values of alpha = 0.001 The log loss is: 0.521829068562\n",
"For values of alpha = 0.01 The log loss is: 0.566295616914\n",
"For values of alpha = 0.1 The log loss is: 0.599957866217\n",
"For values of alpha = 1 The log loss is: 0.635059427016\n",
"For values of alpha = 10 The log loss is: 0.654159467907\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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4sKakpGhoaKiu37Je98bs1U69OunoiaP1P5v/oy37tNSOozrq4PmDNWhIkFZv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\nu7Vedo4AAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "stream",
"text": [
"For values of best alpha = 0.0001 The train log loss is: 0.478054677285\n",
"For values of best alpha = 0.0001 The test log loss is: 0.489669093534\n",
"Total number of data points : 30000\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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dlhUrlvP114to0KAhkjjvvN+tqtevXw9atmydbZP+a22++ZYcdtjRTJo0btVw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\nqnH/Hz1BISHclkdCAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "KtC-ptiKUKI7",
"colab_type": "text"
},
"source": [
"### On Tfidf data"
]
},
{
"cell_type": "code",
"metadata": {
"id": "M0I1vRjdXB4Y",
"colab_type": "code",
"colab": {}
},
"source": [
"# 'cwc_min','cwc_max','csc_min','csc_max','ctc_min','ctc_max','last_word_eq','first_word_eq','abs_len_diff','mean_len','token_set_ratio','token_sort_ratio','fuzz_ratio','fuzz_partial_ratio','longest_substr_ratio','freq_qid1','freq_qid2','q1len','q2len','q1_n_words','q2_n_words','word_Common','word_Total','word_share','freq_q1+q2','freq_q1-q2\n",
"cols = list(X_train.columns)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "d-vohFCMYmre",
"colab_type": "code",
"outputId": "460a2e4e-ac97-4546-9d26-aad8264c43d3",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 476
}
},
"source": [
"cols[5:]"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"['is_duplicate',\n",
" 'freq_qid1',\n",
" 'freq_qid2',\n",
" 'q1len',\n",
" 'q2len',\n",
" 'q1_n_words',\n",
" 'q2_n_words',\n",
" 'word_Common',\n",
" 'word_Total',\n",
" 'word_share',\n",
" 'freq_q1+q2',\n",
" 'freq_q1-q2',\n",
" 'cwc_min',\n",
" 'cwc_max',\n",
" 'csc_min',\n",
" 'csc_max',\n",
" 'ctc_min',\n",
" 'ctc_max',\n",
" 'last_word_eq',\n",
" 'first_word_eq',\n",
" 'abs_len_diff',\n",
" 'mean_len',\n",
" 'token_set_ratio',\n",
" 'token_sort_ratio',\n",
" 'fuzz_ratio',\n",
" 'fuzz_partial_ratio',\n",
" 'longest_substr_ratio']"
]
},
"metadata": {
"tags": []
},
"execution_count": 117
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "NDg33AmwXm5-",
"colab_type": "code",
"outputId": "b34f1c60-af79-4070-e5b0-50d0c2785bc8",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"source": [
"X_train.shape\n"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(44890, 32)"
]
},
"metadata": {
"tags": []
},
"execution_count": 110
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "j8RbT9xSdAIS",
"colab_type": "code",
"outputId": "5e65b139-3b64-4eb9-fdb0-a83a50fd7f70",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"source": [
"X_train[cols[6:]].shape"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(44890, 26)"
]
},
"metadata": {
"tags": []
},
"execution_count": 126
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "HMC35YezUMYy",
"colab_type": "code",
"outputId": "e5f62514-ccf9-445e-8514-e9a749d9c071",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 102
}
},
"source": [
"# merge two sparse matrices: https://stackoverflow.com/a/19710648/4084039\n",
"from scipy.sparse import hstack\n",
"\n",
"X_tr = hstack((tfidf_train_q1,tfidf_train_q2,X_train[['freq_qid1', 'freq_qid2', 'q1len', 'q2len', 'q1_n_words', 'q2_n_words','word_Common', 'word_Total', 'word_share', 'freq_q1+q2', 'freq_q1-q2','cwc_min','cwc_max', 'csc_min', 'csc_max', 'ctc_min', 'ctc_max','last_word_eq', 'first_word_eq', 'abs_len_diff', 'mean_len','token_set_ratio', 'token_sort_ratio', 'fuzz_ratio', 'fuzz_partial_ratio', 'longest_substr_ratio']])).tocsr()\n",
"X_cr = hstack((tfidf_cv_q1,tfidf_cv_q2,X_cv[['freq_qid1', 'freq_qid2', 'q1len', 'q2len', 'q1_n_words', 'q2_n_words','word_Common', 'word_Total', 'word_share', 'freq_q1+q2', 'freq_q1-q2','cwc_min','cwc_max', 'csc_min', 'csc_max', 'ctc_min', 'ctc_max','last_word_eq', 'first_word_eq', 'abs_len_diff', 'mean_len','token_set_ratio', 'token_sort_ratio', 'fuzz_ratio', 'fuzz_partial_ratio', 'longest_substr_ratio']])).tocsr()\n",
"X_te = hstack((tfidf_test_q1,tfidf_test_q2,X_test[['freq_qid1', 'freq_qid2', 'q1len', 'q2len', 'q1_n_words', 'q2_n_words','word_Common', 'word_Total', 'word_share', 'freq_q1+q2', 'freq_q1-q2','cwc_min','cwc_max', 'csc_min', 'csc_max', 'ctc_min', 'ctc_max','last_word_eq', 'first_word_eq', 'abs_len_diff', 'mean_len','token_set_ratio', 'token_sort_ratio', 'fuzz_ratio', 'fuzz_partial_ratio', 'longest_substr_ratio']])).tocsr()\n",
"\n",
"print(\"Final Data matrix\")\n",
"print(X_tr.shape, y_train.shape)\n",
"print(X_cr.shape, y_cv.shape)\n",
"print(X_te.shape, y_test.shape)\n",
"print(\"=\"*100)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Final Data matrix\n",
"(44890, 10026) (44890,)\n",
"(22110, 10026) (22110,)\n",
"(33000, 10026) (33000,)\n",
"====================================================================================================\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"outputId": "4a96b7ef-0cfd-4b77-e120-db6184844358",
"id": "xMZaixq-UM1G",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 743
}
},
"source": [
"alpha = [10 ** x for x in range(-5, 2)] # hyperparam for SGD classifier.\n",
"\n",
"# read more about SGDClassifier() at http://scikit-learn.org/stable/modules/generated/sklearn.linear_model.SGDClassifier.html\n",
"# ------------------------------\n",
"# default parameters\n",
"# SGDClassifier(loss=’hinge’, penalty=’l2’, alpha=0.0001, l1_ratio=0.15, fit_intercept=True, max_iter=None, tol=None, \n",
"# shuffle=True, verbose=0, epsilon=0.1, n_jobs=1, random_state =None, learning_rate=’optimal’, eta0=0.0, power_t=0.5, \n",
"# class_weight=None, warm_start=False, average=False, n_iter=None)\n",
"\n",
"# some of methods\n",
"# fit(X, y[, coef_init, intercept_init, …])\tFit linear model with Stochastic Gradient Descent.\n",
"# predict(X)\tPredict class labels for samples in X.\n",
"\n",
"#-------------------------------\n",
"# video link: \n",
"#------------------------------\n",
"\n",
"\n",
"log_error_array=[]\n",
"for i in alpha:\n",
" clf = SGDClassifier(alpha=i, penalty='l1', loss='log', random_state=42)\n",
" clf.fit(X_tr, y_train)\n",
" sig_clf = CalibratedClassifierCV(clf, method=\"sigmoid\")\n",
" sig_clf.fit(X_tr, y_train)\n",
" predict_y = sig_clf.predict_proba(X_cr)\n",
" log_error_array.append(log_loss(y_cv, predict_y, labels=clf.classes_, eps=1e-15))\n",
" print('For values of alpha = ', i, \"The log loss is:\",log_loss(y_cv, predict_y, labels=clf.classes_, eps=1e-15))\n",
"\n",
"fig, ax = plt.subplots()\n",
"ax.plot(alpha, log_error_array,c='g')\n",
"for i, txt in enumerate(np.round(log_error_array,3)):\n",
" ax.annotate((alpha[i],np.round(txt,3)), (alpha[i],log_error_array[i]))\n",
"plt.grid()\n",
"plt.title(\"Cross Validation Error for each alpha\")\n",
"plt.xlabel(\"Alpha i's\")\n",
"plt.ylabel(\"Error measure\")\n",
"plt.show()\n",
"\n",
"\n",
"best_alpha = np.argmin(log_error_array)\n",
"clf = SGDClassifier(alpha=alpha[best_alpha], penalty='l1', loss='log', random_state=42)\n",
"clf.fit(X_tr, y_train)\n",
"sig_clf = CalibratedClassifierCV(clf, method=\"sigmoid\")\n",
"sig_clf.fit(X_cr, y_cv)\n",
"\n",
"predict_y = sig_clf.predict_proba(X_tr)\n",
"print('For values of best alpha = ', alpha[best_alpha], \"The train log loss is:\",log_loss(y_train, predict_y, labels=clf.classes_, eps=1e-15))\n",
"predict_y = sig_clf.predict_proba(X_te)\n",
"print('For values of best alpha = ', alpha[best_alpha], \"The test log loss is:\",log_loss(y_test, predict_y, labels=clf.classes_, eps=1e-15))\n",
"predicted_y =np.argmax(predict_y,axis=1)\n",
"print(\"Total number of data points :\", len(predicted_y))\n",
"plot_confusion_matrix(y_test, predicted_y)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"For values of alpha = 1e-05 The log loss is: 0.486122125885547\n",
"For values of alpha = 0.0001 The log loss is: 0.5331278421475841\n",
"For values of alpha = 0.001 The log loss is: 0.5478625643422692\n",
"For values of alpha = 0.01 The log loss is: 0.5246757351176663\n",
"For values of alpha = 0.1 The log loss is: 0.5677369451296661\n",
"For values of alpha = 1 The log loss is: 0.6136396550348843\n",
"For values of alpha = 10 The log loss is: 0.6602970012154868\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
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Gz0jA+oH16dm6J2Oix3i6AHu07kH9wJJHBRrfWAAzxhgfZWRlsP7A+gLdgJsObyInz/n+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\n+C53vEQnXg/9b3hXX9oD64UJEyZw6623EolEOj4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"text/plain": [
""
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "stream",
"text": [
"For values of best alpha = 1e-05 The train log loss is: 0.5043990230156697\n",
"For values of best alpha = 1e-05 The test log loss is: 0.5045227813866615\n",
"Total number of data points : 33000\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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sTWAnd5+ef4GZfZSgfZar0aND4iY9PTxje+ONYYyFwsZegDBYW506YbC1E0+E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\n/votOnU6rkD55Mmv0r794QD88cd63n/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SJEmSJEk9zgSQJEmSJElSjzMBJEmSJEmS1ONS\nVd3ug4aQZHZVLeh2P9R9XguSBuK9QX28FiQNxHuD+ngtyBFAI9/sbndAI4bXgqSBeG9QH68FSQPx\n3qA+XgtbORNAkiRJkiRJPc4EkCRJkiRJUo8zATTyOUdTfbwWJA3Ee4P6eC1IGoj3BvXxWtjKuQi0\nJEmSJElSj3MEkCRJkiRJUo8zASRJkiRJktTjTACNUEkWJnk0yd3d7ou6K8kuSX6U5J4ky5Kc0O0+\nSeo+44T6GCckDcQ4ITBGaG2uATRCJdkfeAq4pKr26nZ/1D1JdgZ2rqrbk7wS+DFwSFXd0+WuSeoi\n44T6GCckDcQ4ITBGaG2OABqhqup64PFu90PdV1Urqur2dvt3wE+A8d3tlaRuM06oj3FC0kCMEwJj\nhNZmAkjagiTZFXgTcEt3eyJJGomME5KkwRgjZAJI2kIk2R74Z+DEqnqy2/2RJI0sxglJ0mCMEQIT\nQNIWIckf0dywL62qf+l2fyRJI4txQpI0GGOE+pgAkka4JAG+Avykqi7sdn8kSSOLcUKSNBhjhDqZ\nABqhknwTuAmYmOThJB/tdp/UNfsBHwIOSHJn+3p3tzslqbuME+pgnJD0IsYJtYwRep6PgZckSZIk\nSepxjgCSJEmSJEnqcSaAJEmSJEmSepwJIEmSJEmSpB5nAkiSJEmSJKnHmQCSJEmSJEnqcSaAtJYk\nq9tHA96d5PIkr9iItt6e5N/b7YOSzBui7tgkx27AOc5MctIg+45qP8fSJHf01UvyT0kOXd9zSZKM\nE5KkoRknpJHLBJD6e6aq9q6qvYCVwJzOnWms93VTVYuq6rwhqowF1vuGPZgkM4ETgWlVNRmYAvx2\nU7UvSVsx44QkaSjGCWmEMgGkofwnsHuSXZPcl+QS4G5glyTTktyU5PY2s789QJIZSe5Ncjvw/r6G\nkhyT5Avt9rgkVyS5q33tC5wHvL79tuCCtt7JSW5NsiTJWR1tfTrJT5PcAEwcpO+fAk6qql8CVNWz\nVfXl/pWSnN6e4+4kC5KkLT8+yT3tuS9ry6a2/buz/QbglRv585WkLZ1xwjghSUMxThgnNIJs0+0O\naGRKsg0wE7iyLZoAHF1VNyf5E+BU4MCq+n2SU4BPJDkf+DJwALAc+NYgzX8euK6q/jrJKGB7YB6w\nV1Xt3Z5/WnvOfYAAi5LsD/weOAzYm+b6vR348QDn2GuQ8v6+UFVnt+f8GvBe4N/a/uxWVc8mGdvW\nPQmYW1U3tgHqD+vQviT1JOOEcUKShmKcME5o5HEEkPrbLsmdwG3A/wBfact/UVU3t9tTgEnAjW3d\no4E/A/YAHqyq+6uqgK8Pco4DgIsBqmp1VQ00lHJa+7qD5qa8B80N/G3AFVX1dFU9CSzaqE8L70hy\nS5Klbb/e0JYvAS5NciSwqi27EbgwyfHA2Kpa9eLmJKnnGScaxglJGphxomGc0IjjCCD190xf1rxP\nO4rx951FwNVVNatfvbWO20gBzq2qL/U7x4nrePwy4C+BawY9QfJy4CLgzVX1UJIzgZe3u98D7A+8\nD/h0kslVdV6S7wHvpglW06vq3vX5UJLUA4wTDeOEJA3MONEwTmjEcQSQNsTNwH5JdgdIMibJnwP3\nArsmeX1bb9Ygx/8Q+Hh77KgkOwK/AzrnwF4FfKRjLvD4JK8BrgcOSbJdO2f2fYOc41zggiSvbY8f\nneRj/er03Zz/rz3PoW3dlwG7VNWPgFOAHYHtk7y+qpZW1d8Dt9J8iyBJejHjhHFCkoZinDBOqAsc\nAaT1VlX/m+QY4JtJtm2LT62qnyaZDXwvydM0i74NtLDZCcCCJB8FVgMfr6qbktyY5G7g+1V1cpI9\ngZvabwyeAo6sqtuTfAu4C3iU5sY5UB8XJxkH/CBNAwUs7FfnN0m+TLMQ3a862hoFfL0NJAE+39b9\nTJJ3AGtovhH4/nr+6CRpq2CcME5I0lCME8YJdUeaqZWSJEmSJEnqVU4BkyRJkiRJ6nEmgCRJkiRJ\nknqcCSBJkiRJkqQeZwJIkiRJkiSpx5kAkiRJkiRJ6nEmgCRJkiRJknqcCSBJkiRJkqQe9/+1Cyu8\nldNtBwAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "Yt7G5REafb9v",
"colab_type": "code",
"outputId": "a54606c3-c1ac-4d09-a77b-70aede0efdf0",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 743
}
},
"source": [
"alpha = [10 ** x for x in range(-5, 2)] # hyperparam for SGD classifier.\n",
"\n",
"# read more about SGDClassifier() at http://scikit-learn.org/stable/modules/generated/sklearn.linear_model.SGDClassifier.html\n",
"# ------------------------------\n",
"# default parameters\n",
"# SGDClassifier(loss=’hinge’, penalty=’l2’, alpha=0.0001, l1_ratio=0.15, fit_intercept=True, max_iter=None, tol=None, \n",
"# shuffle=True, verbose=0, epsilon=0.1, n_jobs=1, random_state =None, learning_rate=’optimal’, eta0=0.0, power_t=0.5, \n",
"# class_weight=None, warm_start=False, average=False, n_iter=None)\n",
"\n",
"# some of methods\n",
"# fit(X, y[, coef_init, intercept_init, …])\tFit linear model with Stochastic Gradient Descent.\n",
"# predict(X)\tPredict class labels for samples in X.\n",
"\n",
"#-------------------------------\n",
"# video link: \n",
"#------------------------------\n",
"\n",
"\n",
"log_error_array=[]\n",
"for i in alpha:\n",
" clf = SGDClassifier(alpha=i, penalty='l2', loss='log', random_state=42)\n",
" clf.fit(X_tr, y_train)\n",
" sig_clf = CalibratedClassifierCV(clf, method=\"sigmoid\")\n",
" sig_clf.fit(X_tr, y_train)\n",
" predict_y = sig_clf.predict_proba(X_cr)\n",
" log_error_array.append(log_loss(y_cv, predict_y, labels=clf.classes_, eps=1e-15))\n",
" print('For values of alpha = ', i, \"The log loss is:\",log_loss(y_cv, predict_y, labels=clf.classes_, eps=1e-15))\n",
"\n",
"fig, ax = plt.subplots()\n",
"ax.plot(alpha, log_error_array,c='g')\n",
"for i, txt in enumerate(np.round(log_error_array,3)):\n",
" ax.annotate((alpha[i],np.round(txt,3)), (alpha[i],log_error_array[i]))\n",
"plt.grid()\n",
"plt.title(\"Cross Validation Error for each alpha\")\n",
"plt.xlabel(\"Alpha i's\")\n",
"plt.ylabel(\"Error measure\")\n",
"plt.show()\n",
"\n",
"\n",
"best_alpha = np.argmin(log_error_array)\n",
"clf = SGDClassifier(alpha=alpha[best_alpha], penalty='l2', loss='log', random_state=42)\n",
"clf.fit(X_tr, y_train)\n",
"sig_clf = CalibratedClassifierCV(clf, method=\"sigmoid\")\n",
"sig_clf.fit(X_cr, y_cv)\n",
"\n",
"predict_y = sig_clf.predict_proba(X_tr)\n",
"print('For values of best alpha = ', alpha[best_alpha], \"The train log loss is:\",log_loss(y_train, predict_y, labels=clf.classes_, eps=1e-15))\n",
"predict_y = sig_clf.predict_proba(X_te)\n",
"print('For values of best alpha = ', alpha[best_alpha], \"The test log loss is:\",log_loss(y_test, predict_y, labels=clf.classes_, eps=1e-15))\n",
"predicted_y =np.argmax(predict_y,axis=1)\n",
"print(\"Total number of data points :\", len(predicted_y))\n",
"plot_confusion_matrix(y_test, predicted_y)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"For values of alpha = 1e-05 The log loss is: 0.4789651965991101\n",
"For values of alpha = 0.0001 The log loss is: 0.4796432993221746\n",
"For values of alpha = 0.001 The log loss is: 0.49076128888211723\n",
"For values of alpha = 0.01 The log loss is: 0.5174224819637837\n",
"For values of alpha = 0.1 The log loss is: 0.5377837665263189\n",
"For values of alpha = 1 The log loss is: 0.5667679418881167\n",
"For values of alpha = 10 The log loss is: 0.5905260940044674\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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UH0tgdcimSzHGmPpjCayO2HQpxhhTv2pNYCLSVUQ+FJFv3PU+IvKA/0MLLtMz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\nifzrX/9i6dKldOjQwVP/jjvuIC4ujnX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"text/plain": [
""
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "stream",
"text": [
"For values of best alpha = 1e-05 The train log loss is: 0.5026869940073284\n",
"For values of best alpha = 1e-05 The test log loss is: 0.5049064228811674\n",
"Total number of data points : 33000\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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RERGRIubuw4HhRXCo3sBr7p4RU9bU3Zeb2Z7ABDOb5e4L4x1EPYBERERERBJkZyb4FBGR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\nxCD0Crv2WnjkETjiCPjPfxL/XqR4JSQ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"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "gTGpqg3LUM1U"
},
"source": [
" 4.5 Linear SVM with hyperparameter tuning "
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"outputId": "9bef5d0a-9fce-4135-f941-4aeee62a3d47",
"id": "CAqTF383UM1X",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 743
}
},
"source": [
"alpha = [10 ** x for x in range(-5, 2)] # hyperparam for SGD classifier.\n",
"\n",
"# read more about SGDClassifier() at http://scikit-learn.org/stable/modules/generated/sklearn.linear_model.SGDClassifier.html\n",
"# ------------------------------\n",
"# default parameters\n",
"# SGDClassifier(loss=’hinge’, penalty=’l2’, alpha=0.0001, l1_ratio=0.15, fit_intercept=True, max_iter=None, tol=None, \n",
"# shuffle=True, verbose=0, epsilon=0.1, n_jobs=1, random_state=None, learning_rate=’optimal’, eta0=0.0, power_t=0.5, \n",
"# class_weight=None, warm_start=False, average=False, n_iter=None)\n",
"\n",
"# some of methods\n",
"# fit(X, y[, coef_init, intercept_init, …])\tFit linear model with Stochastic Gradient Descent.\n",
"# predict(X)\tPredict class labels for samples in X.\n",
"\n",
"#-------------------------------\n",
"# video link: \n",
"#------------------------------\n",
"\n",
"\n",
"log_error_array=[]\n",
"for i in alpha:\n",
" clf = SGDClassifier(alpha=i, penalty='l1', loss='hinge', random_state=42)\n",
" clf.fit(X_tr, y_train)\n",
" sig_clf = CalibratedClassifierCV(clf, method=\"sigmoid\")\n",
" sig_clf.fit(X_tr, y_train)\n",
" predict_y = sig_clf.predict_proba(X_cr)\n",
" log_error_array.append(log_loss(y_cv, predict_y, labels=clf.classes_, eps=1e-15))\n",
" print('For values of alpha = ', i, \"The log loss is:\",log_loss(y_cv, predict_y, labels=clf.classes_, eps=1e-15))\n",
"\n",
"fig, ax = plt.subplots()\n",
"ax.plot(alpha, log_error_array,c='g')\n",
"for i, txt in enumerate(np.round(log_error_array,3)):\n",
" ax.annotate((alpha[i],np.round(txt,3)), (alpha[i],log_error_array[i]))\n",
"plt.grid()\n",
"plt.title(\"Cross Validation Error for each alpha\")\n",
"plt.xlabel(\"Alpha i's\")\n",
"plt.ylabel(\"Error measure\")\n",
"plt.show()\n",
"\n",
"\n",
"best_alpha = np.argmin(log_error_array)\n",
"clf = SGDClassifier(alpha=alpha[best_alpha], penalty='l1', loss='hinge', random_state=42)\n",
"clf.fit(X_tr, y_train)\n",
"sig_clf = CalibratedClassifierCV(clf, method=\"sigmoid\")\n",
"sig_clf.fit(X_cr, y_cv)\n",
"\n",
"predict_y = sig_clf.predict_proba(X_tr)\n",
"print('For values of best alpha = ', alpha[best_alpha], \"The train log loss is:\",log_loss(y_train, predict_y, labels=clf.classes_, eps=1e-15))\n",
"predict_y = sig_clf.predict_proba(X_te)\n",
"print('For values of best alpha = ', alpha[best_alpha], \"The test log loss is:\",log_loss(y_test, predict_y, labels=clf.classes_, eps=1e-15))\n",
"predicted_y =np.argmax(predict_y,axis=1)\n",
"print(\"Total number of data points :\", len(predicted_y))\n",
"plot_confusion_matrix(y_test, predicted_y)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"For values of alpha = 1e-05 The log loss is: 0.4848332825423125\n",
"For values of alpha = 0.0001 The log loss is: 0.5378475958582134\n",
"For values of alpha = 0.001 The log loss is: 0.5417904056869058\n",
"For values of alpha = 0.01 The log loss is: 0.5288605937385088\n",
"For values of alpha = 0.1 The log loss is: 0.5582942249037874\n",
"For values of alpha = 1 The log loss is: 0.6230572564022668\n",
"For values of alpha = 10 The log loss is: 0.6459682453560096\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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T0NJxgpp33pSSF1DVl4GXARITE3XAgAElk/gsJSWF88lfbP/x/axftZ7p/acz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\ne++9xzfffMMTTzwB/BCsT506RaNGjc6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"text/plain": [
""
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "stream",
"text": [
"For values of best alpha = 1e-05 The train log loss is: 0.49829496672249113\n",
"For values of best alpha = 1e-05 The test log loss is: 0.49742513210493855\n",
"Total number of data points : 33000\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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PgImIiIiIiIiIFDF3HwwMLoJNdQZGuXtmTFlDd19uZocCE8xsprsvjLcR9QASERERERER\nESlZy4FDYj7Xj8ry0pkcj3+5+/Lo5yLgE3YdHyhPSgCJiIiIiBSTvZnhRUREktrXQFMza2xmFQhJ\nnlyzeZnZkUB1YHJMWXUz2z96XxM4HZiTc92c9AiYiIiIiEgxKIIZXkREJEm5+3Yz6wGMA1KAoe4+\n28z6AVPdPSsZ1BkY7u4es/rvgEFmtoPQsefB2NiSH/UAEhHZQ2Y21MxWm9msmLJ7zGx5zN3c82KW\n9Y7uAM83s7Yx5XneHY7uBnwZlb8e3RkQEZGyo8RneBERkbLD3ce6++Hu3sTd74/K+sQkf3D3e9y9\nV471vnD3Y939+OjnvwuzPyWARET23AtAuzzKH3P3E6LXWAAzO4qQvT86WudpM0uJuTvcHjgKuCyq\nCzAw2tZhwDqgW7F+GxER2S0FzO4Cez/Di4iISJHRI2AiInvI3SeZWaNCVu9E6Lq5FfjRzBYQ7gxD\ndHcYwMyGA53MbC7QCrg8qvMicA/wTNG0XkRE9lYRzu4Cec/wIiIiUmTUA0hEpOj1MLMZ0SNi1aOy\n/O4C51d+ELDe3bfnKBcRkbJjr2Z4ERERKUpKAImI5KMQXfvz8gzQBDgBWAH8s1gbKSIiiWyPZ3gR\nEREpanoETEQkH3vStd/dV2W9N7PngHejj/HuAudVvhZINbPyUS+geHeNRUQkAe3lDC8iIiJFSgkg\nEZEiZGZ13H1F9PFCIGuGsNHAq2b2KFAXaAp8BRjR3WFCgqczcLm7u5l9DFxCmDXmauCdkvsmIiJS\nFKLJAMbmKOuT4/M9JdkmERHZNykBJCL7lOOOK7ptmdlrQEugppktA/oCLc3sBMCBxcD1ANEd3xHA\nHGA7cHPWQJ953R2OdtETGG5m9wHfAIWa3lFERPZcUcYJERFJPmU5TigBJCKyh9z9sjyK803SuPv9\nwP15lOe6OxyVLyJ7pjAREREREZE9pkGgRURERERERESSnBJAIiIiIiIiIiJJTgkgEREREREREZEk\npwSQiIiIiIiIiEiSUwJIRERERERERCTJKQEkIiIiIiIiIpLklAASEREREREREUlySgCJiIiIiIiI\niCQ5JYBERERERERERJKcEkAiIiIiIiIiIklOCSARERERERERkSSnBJCIiIiIiIiISJJTAmgP/fvf\nsGoVzJyZXTZ8OHzzTXj9+GP4maVXL/jhB5g3D849d9dtlSsH06fDf/6TXfbyy6HuzJlhX+XL592O\nLl3g++/Dq0uX7PLmzWHGjLDPJ57ILq9eHT74INT/4ANITd3z34HklpGxlRtvvIRu3TrStWsHnn/+\nXwC4O0OGPMZVV7Xl6qvb88Ybw3au8+23X3LttZ3o2rUDf/7zlbtsLzMzk+uuu4Deva/PZ38Z3Hvv\nX7jiijbceOMfWbly2c5lr7wyiCuuaEOXLm356qtPd5Z/9dUkunRpyxVXtOHVVwcX5dcXkb3Utm04\n9v/wA/TsmXv5o49mx5n582HdulDesmV2+TffwJYt0KlTWDZpUnb58uXw1lsl9nVkL8yZM4n77mtL\nv35tGD8+97H6s89eY8CAPzBwYCcef/wyVqxYAMCSJTMYOLATAwd24sEHO/Ldd+N3rvPKK725665T\nGTDg/BL7HiJStAqKE4ccAhMmhGuL776D9u1D+e9/D1OnhuuDqVPhnHOy13nvPfj2W5g1C555Jlyb\nSOIr6Jz+u+++pnv3C2nd+igmTnx/Z/k330zh2ms77Xyde+6xfPbZhwDceuvlO8svueQM/vGPm0rs\n+0jJMHcv7TbkyYzEbFjkzDMhPR2GDYNjj829/JFHYMMG6N8ffvc7eO01aNEC6taFDz+Eww+HHTtC\n3b/+FU46CapWhT/8IZS1bx8OxgCvvhpO4J99dtd9VK8eDuAnnQTuMG0anHgirF8PX34Jt94afo4d\nC//6F7z/PgwcCL/8En727Bm20atX8f2eisLy5aXdgsJzd3777VcqVqzE9u3buOWWy7nllr+zZMlC\nvvnmS3r1epBy5cqxbt1aqlc/iPT0jfTo0ZmBA4eQllZ3Z3mWESOeZ/78Wfz6azoDBgzKtb+3336F\nRYvmc9tt/ZgwYQyffjqevn0fZ/HiBfTvfxvPPDOKtWtXcfvt1zBs2DgAunRpy8MPP0+tWmnccMMl\n3H33ozRqdFiJ/Y72Vt262N6sf/zxhT+2fPfd3u1Lileix4ndVa5cSM63aQPLlsHXX8Nll8HcuXnX\n79EDmjWDbt12La9eHRYsgPr1QyIo1qhR8M478NJLxfMdSsv77xdcpyzZsSOT/v3bcvPNz5OamsYj\nj1zC1Vc/Sp062cfqLVvSqVixMgAzZ37Ep5++yk03/ZuMjC2kpOxHSkp5NmxYzcCBnejf/1NSUsqz\nYMHX7L//gbz8ck969363tL5esWvbVnFCgn0xTgwaFBL+zz4brkHGjoXGjeGEE8LN6xUr4OijYdy4\nECcAqlSBTZvC+1GjYORIeP31kv9+xaksXU8URmZmZoHn9CtXLmPz5nRef30op5/eirPPbpdrOxs3\nrufKK89lxIiJHHBAxV2W9elzC6ef3pq2bS8o9u9T0vbl6wnld/fQp5+GREp+Lr00JH0g3IUdPhwy\nMmDx4nBi3qJFWFavHnToAEOG7Lp+VvIH4Kuvsg/Qsdq2hfHjwx3g9evD+3btoHbtkEz68stQb9gw\nuOCC7La8+GJ4/+KL2eVSNMyMihUrAbB9+3YyM7cDxujRr3H11TdTLrqlkpXk+fDD/3DmmW1IS6u7\nSznAmjUrmTLlEzp0uCTf/X3++QTatr0QgLPPbsv06ZNxdz7//CNatepAhQoVqFPnEOrWbci8eTOY\nN28Gdes2pG7dQ9hvvwq0atWBzz//qDh+FSKym1q0CPHhxx9h27YQN7J68eTlssuy40ysSy4JMSRn\n8qdKFWjVCt5+u2jbLUVvyZIZ1KrVkJo1D6F8+Qo0b96BmTN3PVZnJX8AMjK2YBbOLytUqEhKSug2\nvH371p3lAIcd9j8ceGC1EvgGIlIcChMn3MN1AEC1avDTT+H9t9+G5A/A7NlQsSJUqBA+ZyV/ypcP\nZQnaP0BiFOacvnbt+jRpcuTO64+8TJw4jhYtzsyV/Nm8OZ1vvpnCGWf8vljaL6WnxBNAZnZNSe+z\npJ15ZsiwLwi9salXD5YuzV6+bFkoA3j8cbjzzuzeQDmVLw9XXZX33c38tluvXnif1/7S0mDlyvB+\n5crwWYpWZmYm117biQsvPI0TTzyNo446np9+WsrHH4/l+usvomfPa1m2bDEAy5YtZtOmjfzlL1fR\nvftFjBuXfWX25JMPcP31d8Q9aP/88yoOPrgOACkp5alcuQobN66LymvvrFerVho//7wq33KRRLIv\nxIm8xIsVOTVoEO7oTpiQe1nnznknhi64AD76KPtEXxLX+vWrSE3NPlanpqaxYUPuY/WkSa9w772/\n5513Hubii/+xs3zx4u944IEODBjQkUsvvXdnQkgkWShOBHnFiXvugSuvDPXGjoVbbsm9nYsvDo+I\nZWRkl73/PqxeHWLEqFHF0nwpQkV1Tv/xx2No3Tr3Y8GfffYhzZufSqVKlfNYS8qy0ugBdG9+C8ys\nu5lNNbOpUHbHJsnvrmxOHTqEA+306fnXefrp8PjXZ58VXftiKcNf9FJSUhgy5B1GjpzIvHkz+PHH\n78nIyKBChf0ZNOhNOnS4lIceugsIyaLvv5/NgAGDePjhIbz00tMsXfojkyd/TGpqDY444phS/jYi\npSLp48Te6tw5nKDnvHlQu3Z4LHncuNzrFDY2Sdlx1llX0Lfvh3TseDsffPDMzvJGjY7nrrvGcPvt\noxg/fhDbtm0txVaKFAvFiXxcdhm88EIYC+i888IjvzEdATnqqDAUxPU5hpds1w7q1IH99w+9RSX5\nrV27mkWLvud//ueMXMsmTHiXVq06lEKrpLgVyy0hM5uR3yIg3z4n7j6Y6EhdVp/ZTUmBiy4KY/Fk\nWb48HISz1K8fyjp2DK/zzoMDDgjdNV96KfT4AejTB2rVyn2Ajt1uy5a7bveTT0J57CNjWfuD0DOp\ndu3Q+6d27ZCAkuJRuXJVTjjhZL766lNq1UrjzDPbAHDmmW146KHeANSqVZuqVVOpWPFAKlY8kOOO\nO4mFC+fxww9z+OKLCXz55SQyMrby66/p3H//7fz974/sso+aNdNYvXoFtWrVJjNzO+npm6hatXpU\nvnJnvTVrVlGzZvivl1+5SEnal+NEfvKLFXnp3Bluvjl3+aWXhkGet2/ftfygg8KjAxdeWHTtleKT\nmprG+vXZx+r161dRrVr+x+rmzTswYsQ9ucpr127C/vsfyIoV39OgQR4DFookMMWJ3AoTJ7p1C8kc\ngClTwjVGzZqwZk3oLfTWW2HimEWLcm9/69YwTlynTmHMUklc8c71C+vjj9/jjDPaUL78fruUb9jw\nC/PmzaR//6eKpK2SWIqrB1Aa0AX4Qx6vtcW0z4Tw+9+HkfljD8ajR4eT9QoVoFEjaNo0jOtz113h\nIN64cVg+YUJ28qdbtzDGz2WX5d9LZ9y4MKNYamp4nXtuKFu5EjZuhJNPDvW6dAkH86y2XH11eH/1\n1dnlUjTWr/+F9PSNAGzd+hvTpn1BgwaHcsYZv+ebb8KgTN999xX16zcC4PTTWzNz5jQyM7fz229b\nmDt3Bg0bNuG66/7GyJGTGD58An36PEqzZqfkSv4AnHZaK8aNC1P6TJw4jmbNTsHMOO20VkyYMIaM\njAxWrFjK8uWLOfLI4zjyyGNZvnwxK1YsZdu2DCZMGMNpp+k2j5SKfTZO5Ofrr0N8aNQI9tsvxIXR\no3PXO+KIMNDz5Mm5l8UbF+jdd8PJvSS+Bg2OZc2axaxdu5Tt2zOYPn0Mxx6767F69erFO9/Pnv0J\ntWo1BGDt2qXR+HPwyy/LWbVqETVq5PMsoUhiU5zIoTBx4r//hdatw/sjjwwJoDVrwnhAY8aEyV++\n+CK7fqVK4aYwhBvZHTqEaxlJbEVxTj9hwhhat87dy2fixHGcckpLKlTYv6iaKwmkuB4Kfxeo7O7f\n5lxgZp8U0z5L1Kuvht43NWuGZ2z79oWhQ/Mee2HOHBgxIvzcvj3ctc1vzJ8szz4LS5Zkn+C/+WaY\nUezEE+GGG+C668Lgz/37h2AA0K9f9pTAN90Uun9WrBgGA80aVPrBB0NbunUL27/00qL6jQiErpQP\nPtiLHTsy2bHDadmyHaeeeg7HHnsi9913O6NGvUjFigdy++33A9CwYRNatDiTbt06YlaODh0uoXHj\nw+PuY+jQJzjiiGM4/fTWdOhwCQ88cAdXXNGGqlWrcffdjwHQuHFTzjmnPddccx4pKSn8+c99SElJ\nAeDWW/tw553XsmNHJu3bX0zjxk2L95cikrekjxO7KzMzzOw1blw4CR86NMSNe+8NMz7+5z+hXufO\nYeDPnBo2DDcVJk7Mvaxz53D8l7IhJaU8l1zSh6efDsfqU065mDp1mjJmzBM0aHAMxx7bmk8/fZn5\n8yeTklKeihWrcuWVAwFYuHAaH374HCkp5TErx6WX3kPlyjUAeOGF21iw4CvS09dx991ncd55t3Dq\nqX8sza8qEo/iRA6FiRN/+xs891yYZdgdunYN6/boAYcdFp4w6NMnlJ17bng8bPTo8OhXuXLw8ce5\nZx6WxJOSUj7Pc/rY64R582Zw9909SE/fyOTJH/P88//HCy+MAcIMYWvWrOD441vk2vaECWO5/PLr\nSvorSQnRNPCS8JJt2kbZO/vytI2yK8UJyZJs08DL3tE08JJFcUKy6HpCYu3L1xOaBl5ERERERERE\nJMkpASQiIiIiIiIikuSUABIRERERERERSXJKAImIiIiIiIiIJDklgEREREREREREkpwSQCIiIiIi\nIiIiSU4JIBERERERERGRJKcEkIiIiIhIMTGzdmY238wWmFmvfOpcamZzzGy2mb1a0m0UEZF9Q/nS\nboCIiIiISDIysxTgKaANsAz42sxGu/ucmDpNgd7A6e6+zswOLp3WiohIslMPIBERERGR4tECWODu\ni9w9AxgOdMpR5zrgKXdfB+Duq0u4jSIiso9QAkhEREREZA+YWXczmxrz6p6jSj1gacznZVFZrMOB\nw83sczObYmbtirPNIiKy71ICSERkD5nZUDNbbWazYsoeNrN5ZjbDzN4ys9SovJGZbTGzb6PXszHr\nnGhmM6PxIf5lZhaV1zCz8Wb5NlJ4AAAgAElEQVT2Q/Szesl/SxERyY+7D3b3k2Jeg/dgM+WBpkBL\n4DLguazYISIiUpSUABIR2XMvADnv1I4HjnH344DvCeM6ZFno7idErxtiyp8hPALQNHplbbMX8JG7\nNwU+ij6LiEjZsRw4JOZz/ags1jJgtLtvc/cfCbGjaQm1T0REStHeTBRgZldHN4p/MLOrC7M/DQIt\nIvuU444rum25+yQza5Sj7IOYj1OAS+Jtw8zqAFXdfUr0eRhwAfAeYZyIllHVF4FPgJ5733IREclP\nUcYJ4GugqZk1JiR+OgOX56jzNqHnz/NmVpPwSNiiIm2FiIgUmaKKE3szUYCZ1QD6AicBDkyL1l0X\nb5/qASQiko9CjO1QkP8lJHKyNDazb8xsopmdGZXVIxzws8SOD5Hm7iui9yuBtN39DiIiUnrcfTvQ\nAxgHzAVGuPtsM+tnZh2jauOAtWY2B/gYuMPd15ZOi0VEpATtzUQBbYHx7v5LtGw8uZ9MyEU9gERE\n8hGN5bAn4zlgZn8HtgOvREUrgAbuvtbMTgTeNrOjd6Mtbma+J20REZHS4+5jgbE5yvrEvHfgtugl\nIiJJJLqBHHsTeXDMeHF5TRRwco5NHB5t53MgBbjH3d/PZ92ckwzkUmACyMwqAVvcfYeZHQ4cCbzn\n7tsKWldEZF9kZl2B84HW0Yk97r4V2Bq9n2ZmCwkH9OWEMSGyxI4PscrM6rj7iuhRsYScGlhxQkRE\n4lGcEJF91d7cUI7EThRQH5hkZsfu6cYK8wjYJOAAM6sHfABcRRj4VEREcoim770T6Ojuv8aU14qe\n88XMDiUcyBdFj3htNLNTotm/ugDvRKuNBrIGdLs6pjzRKE6IiEg8ihMiIrntzUQBhVk3l8IkgCy6\niLkIeNrd/wgU+rEFEZFkZWavAZOBI8xsmZl1A54EqgDjc0z3fhYww8y+BUYBN7j7L9Gym4AhwAJg\nIdnjBj0ItDGzH4DfR58TkeKEiIjEozghIpLbzokCzKwCYaKA0TnqvE00KUyOiQLGAeeaWXUzqw6c\nG5XFVZgxgMzMTgWuALpFZSmFWE9EJKm5+2V5FP87n7pvAG/ks2wqcEwe5WuB1nvTxhKiOCEiIvEo\nToiI5ODu280sa6KAFGBo1kQBwFR3H012omcOkEnMRAFm1p+QRALoF3NzOV+FSQD9hTDt2FtRYw4l\nzFAgIiICihMiIhKf4oSISB72ZqIAdx8KDN2d/RWYAHL3icBEADMrB/zs7rfuzk5ERCR5KU6IiEg8\nihMiIomhwDGAzOxVM6sajd4/C5hjZncUf9NERKQsUJwQEZF4FCdERBJDYQaBPsrdNwIXEAYmbUwY\nuV9ERAQUJ0REJD7FCRGRBFCYBNB+ZrYf4YA92t23AV68zRIRkTJEcUJEROJRnBARSQCFSQANAhYD\nlYBJZtYQ2FicjRIRkTJFcUJEROJRnBARSQCFGQT6X8C/YoqWmNk5xdckEREpSxQnREQkHsUJEZHE\nUJhp4DGzDsDRwAExxf2KpUUiIlLmKE6IiEg8ihMiIqWvMLOAPQv8CbgFMOCPQMNibpeIiJQRihMi\nIhKP4oSISGIozBhAp7l7F2Cdu98LnAocXrzNEhGRMkRxQkRE4lGcEBFJAIVJAG2Jfv5qZnWBbUCd\n4muSiIiUMYoTIiISj+KEiEgCKMwYQO+aWSrwMDCdMGXjkGJtlYiIlCWKEyIiEo/ihIhIAijMLGD9\no7dvmNm7wAHuvqF4myUiImWF4oSIiMSjOCEikhjyTQCZ2UVxluHubxZPk0REpCxQnBARkXgUJ0RE\nEku8HkB/iLPMAR2wRUT2bYoTIiISj+KEiEgCyTcB5O7XlGRDRESkbFGcEBGReBQnREQSS76zgJnZ\nbWbWLY/ybmb2l+JtloiIJDrFCRERiUdxQkQkscSbBv4KYFge5S8B/1s8zRERkTJEcUJEROJRnBAR\nSSDxEkDl3X1bzkJ3zwCs+JokIiJlhOKEiIjEozghIpJA4iWAyplZWs7CvMpERGSfpDghIiLxKE6I\niCSQeAmgh4ExZna2mVWJXi2Bd4FHSqR1IiKSyBQnREQkHsUJEZEEEm8WsGFmtgboBxxDmKpxNtDH\n3d8rofaJiEiCUpwQEZF4FCdERBJLvgkggOjArIOziIjkSXFCRETiUZwQEUkc8R4BExERERERERGR\nJKAEkIiIiIiIiIhIklMCSEREREREREQkyeU7BpCZ3RZvRXd/tOibIyIiZYXihIhIwcysHfAEkAIM\ncfcHcyzvSpgta3lU9KS7DynRRhYTxQkRkcQSbxDoKiXWChERKYsUJ0RE4jCzFOApoA2wDPjazEa7\n+5wcVV939x4l3sDipzghIpJA4k0Df29JNkRERMoWxQkRkQK1ABa4+yIAMxsOdAJyJoCSkuKEiEhi\niTsNPICZHQB0A44GDsgqd/f/LcZ2sXx5wXVk3zBzZmm3QBJJ3bql3QLJSXFCSlv79qXdAkkkbduW\n3L7MrDvQPaZosLsPjvlcD1ga83kZcHIem7rYzM4Cvgf+6u5L86hTZpVWnHjooeLcupQlPXuWdgsk\nkbz0Umm3oPQUmAACXgLmAW2BfsAVwNzibJSISHE57rjSbkFSUpwQkaSxO3EiSvYMLrBifP8BXnP3\nrWZ2PfAi0Govt5loFCdEJGmU5euJwswCdpi73w1sdvcXgQ7kfedCRET2TYoTIiJ5Ww4cEvO5PtmD\nPQPg7mvdfWv0cQhwYgm1rSQpToiIJIDCJIC2RT/Xm9kxQDXg4OJrkohI2WBmQ81stZnNiimrYWbj\nzeyH6Gf1qNzM7F9mtsDMZphZ85h1ro7q/2BmV8eUn2hmM6N1/mVmVrLfsNAUJ0RE8vY10NTMGptZ\nBaAzMDq2gpnVifnYkeTsGaM4ISKSAAqTABocXcDcTQhYcwA9USsiAi8A7XKU9QI+cvemwEfRZ4D2\nQNPo1R14BkLCCOhLuBPaAuiblTSK6lwXs17OfSUKxQkRkTy4+3agBzCOkNgZ4e6zzayfmXWMqt1q\nZrPN7DvgVqBr6bS2WClOiIgkgALHAHL3IdHbicChxdscEZGyw90nmVmjHMWdgJbR+xeBT4CeUfkw\nd3dgipmlRnd9WwLj3f0XADMbD7Qzs0+Aqu4+JSofBlwAvFd832jPKE6IiOTP3ccCY3OU9Yl53xvo\nXdLtKkmKEyIiiaEws4DtD1wMNIqt7+79iq9ZIiKlrxCzu+Qlzd1XRO9XAmnR+7xmgqlXQPmyPMoT\njuKEiIjEozghIpIYCjML2DvABmAasLWAuiIiSWNvZ3dxdzczL8ImJSrFCRERiUdxQkQkARQmAVTf\n3RN13AkRkUSzyszquPuK6BGv1VF5fjPBLCf7kbGs8k+i8vp51E9EihMiIhKP4oSISAIozCDQX5jZ\nscXeEhGR5DAayJrJ62rCXc+s8i7RbGCnABuiR8XGAeeaWfVogMxzgXHRso1mdko0+1eXmG0lGsUJ\nERGJR3FCRCQBFKYH0BlAVzP7kdBl0whPNhxXrC0TEUlwZvYaofdOTTNbRpjN60FghJl1A5YAl0bV\nxwLnAQuAX4FrANz9FzPrT5gqGKBf1oDQwE2EmcYqEgZ/TrgBoCOKEyIiEo/ihIhIAihMAqh9sbdC\nRKQMcvfL8lnUOo+6Dtycz3aGAkPzKJ8KHLM3bSwhihMiIhKP4oSISALINwFkZlXdfSOwqQTbIyIi\nZYTihIiIxKM4ISKSWOL1AHoVOJ8wWr8TumpmceDQYmyXiIgkPsUJERGJR3FCRCSB5JsAcvfzo5+N\nS645IiJSVihOiIhIPIoTIiLxmVk74AkgBRji7g/mU+9iYBTwP+4+1cwaAXOB+VGVKe5+Q0H7K3AM\nIDNrnkfxBmCJu28vaH0REUluihMiIhKP4oSISG5mlgI8BbQBlgFfm9lod5+To14V4M/Alzk2sdDd\nT9idfRZmEOingebADEK3zWOBWUA1M7vR3T/YnR2KiEjSUZwQEZF4FCdERHJrASxw90UAZjYc6ATM\nyVGvPzAQuGNvd1iuEHV+Apq5+0nufiJwArCIkKV6aG8bICIiZZ7ihIiIxKM4ISL7JDPrbmZTY17d\nYxbXA5bGfF4WlcWu3xw4xN3H5LH5xmb2jZlNNLMzC9OewvQAOtzdZ2d9cPc5Znakuy8ys3jriYjI\nvkFxQkRE4lGcEJF9krsPBgbvybpmVg54FOiax+IVQAN3X2tmJwJvm9nR0cyL+SpMAmi2mT0DDI8+\n/wmYY2b7A9sK3XoREUlWihMiIhKP4oSISG7LgUNiPtePyrJUAY4BPomS5bWB0WbW0d2nAlsB3H2a\nmS0EDgemxtthYR4B6wosAP4SvRZFZduAcwqxvoiIJLeuKE6IiEj+uqI4ISKS09dAUzNrbGYVgM7A\n6KyF7r7B3Wu6eyN3bwRMATpGs4DVigaRxswOBZoSjq1xFdgDyN23AP+MXjmlF+JLiYhIElOcEBGR\neBQnRERyc/ftZtYDGEeYBn6ou882s37AVHcfHWf1s4B+ZrYN2AHc4O6/FLTPfBNAZjbC3S81s5mA\n59HY4wrauIiIJC/FCRERiUdxQkQkPncfC4zNUdYnn7otY96/Abyxu/uL1wPoz9HP83d3oyIisk9Q\nnBARkXgUJ0REEki+CSB3XxE9U/aCu+vZXBER2YXihIiIxKM4ISKSWOIOAu3umcAOM6tWQu0REZEy\nRHFCRETiUZwQEUkchZkGPh2YaWbjgc1Zhe5+a7G1SkREyhLFCRERiUdxQkQkARQmAfRm9BIREcmL\n4oSIiMSjOCEikgAKkwB6HTgser/A3X8rxvaIiEjZozghIiLxKE6IiCSAfMcAMrPyZvYQsAx4ERgG\nLDWzh8xsv5JqoIiIJCbFCRERiUdxQkQkscQbBPphoAbQ2N1PdPfmQBMgFXikJBonIiIJTXFCRETi\nUZwQEUkg8RJA5wPXufumrAJ33wjcCJxX3A0TEZGEpzghIiLxKE6IiCSQeAkgd3fPozATyFUuIiL7\nHMUJERGJR3FCRCSBxEsAzTGzLjkLzexKYF7xNUlERMoIxQkREYlHcUJEJIHEmwXsZuBNM/tfYFpU\ndhJQEbiwuBsmIiIJT3FCRETiUZwQEUkg+SaA3H05cLKZtQKOjorHuvtHJdIyERFJaIoTIiISj+KE\niEhiidcDCAB3nwBMKIG2iIhIGaQ4ISKSPzNrBzwBpABD3P3BfOpdDIwC/sfdp5ZgE4ud4oSISGIo\nMAEkIpJMjjuutFsgIiKJrCjjhJmlAE8BbYBlwNdmNtrd5+SoVwX4M/Bl0e1dRESKQ1m+nog3CLSI\niIiIiOy5FsACd1/k7hnAcKBTHvX6AwOB30qycSIism9RAkhEREREZA+YWXczmxrz6p6jSj1gaczn\nZVFZ7DaaA4e4+5hibq6IiOzj9AiYiIiIiMgecPfBwOA9Xd/MygGPAl2Lqk0iIiL5UQ8gEREREZHi\nsRw4JOZz/agsSxXgGOATM1sMnAKMNrOTSqyFIiKyz1ACSERERESkeHwNNDWzxmZWAegMjM5a6O4b\n3L2muzdy90bAFKBjss0CJiIiiUEJIBGRPWRmR5jZtzGvjWb2FzO7x8yWx5SfF7NObzNbYGbzzaxt\nTHm7qGyBmfUqnW8kIiJFyd23Az2AccBcYIS7zzazfmbWsXRbJyIi+xqNASQisofcfT5wAuyc6nc5\n8BZwDfCYuz8SW9/MjiLc/T0aqAt8aGaHR4sLnCZYRETKHncfC4zNUdYnn7otS6JNIiKyb1ICSESk\naLQGFrr7EjPLr04nYLi7bwV+NLMFhCmCIZomGMDMsqYJVgJIRERERESKhB4BExHJRyGm943VGXgt\n5nMPM5thZkPNrHpUlt90wAVOEywiIiIiIrI3lAASEcmHuw9295NiXnlO9RsN7NkRGBkVPQM0ITwe\ntgL4Z4k0WEREREREJB96BExEZO+1B6a7+yqArJ8AZvYc8G70Md50wPGmCRYREREREdkr6gEkIrL3\nLiPm8S8zqxOz7EJgVvR+NNDZzPY3s8ZAU+ArCpgmWEREREREZG+pB1ARyszM5IYbLqZmzTQGDBjE\ntGmTGTToIXbs2EHFigfSq9eD1KvXkFWrfuLBB3uSnr6JHTsyue662znllLMBeOWVQYwdO4qUlHL0\n6PEPWrQ4M9d+VqxYSr9+t7Fx43oOP/xo7rrrIfbbrwIZGRkMGHAn338/m6pVU+nb9zFq165f6O3K\n3lu1ahEvvPDXnZ9//nkp5513K+ec0xWACROG8vbbA3nggclUrlyDVasW8sord7F06WzOP/+vtG7d\nbZft7diRycMPX0xqahrXXz8o1/62bcvg5ZfvZOnS2VSqlErXro9x0EHhb/7BB4OYMmUU5cqV4+KL\n/8Hvfhf+5nPmTOLNN+9nx44dnHrqH2nTJt6wNlIQM6tEmL3r+pjih8zsBMCBxVnLoql/RxAGd94O\n3OzumdF2sqYJTgGGuvvsEvsSkjC++moSTz55P5mZO+jQ4Y9cfvmu/z9HjHiesWNHkpKSQrVqNbjz\nzgeoXbseCxbM5bHH7mHz5nRSUspxxRU30qrVeQA89NBdzJ8/C3Dq129Mr14DqFixUil8O9kdp50G\nPXtCuXLw1lswdGjuOueeCzfcEN7Pnw+9e4f3tWvDPfdAWhq4Q48e8NNP0KIF3HYb7LcfzJkT6mRm\nltQ3EpGi0KgRtG4NZjBjBnz11a7Ljz8emjUL//czMuCDD2Dt2nAsOffccHxwhwkTYOnScDy4/PLs\n9StXDseHjz8u0a8le+DYY+Gqq8Lf9pNP4N13c9dp0QIuuij8zf/7X3jmmVB+xhnQqVN4/8478Nln\n4f0dd0Bqatjm/Pnw4othXUkeSgAVoTfeGEaDBk349dd0AB5//B7uu+9pGjZswttvv8JLLz1Dr14P\n8tJLz9CyZXs6dbqcxYsX0KtXd4YPn8DixQuYMGEMzz8/hrVrV3H77dcwbNg4UlJSdtnPoEGP8Mc/\ndqVVqw48+mgfxo4dRadOlzN27EiqVKnKK6+MZ8KEMQwa9Ah9+z5e6O3K3ktLO5SePd8BQvLm7rvP\n4vjj2wCwbt0K5s37nOrV6+6sf+CBqVx88d+ZOfOjPLf3ySfDqF27Cb/9lp7n8ilTRnLggVXp02c8\n06aNYfToR7jmmsdZsWIB06ePoXfvMWzcuIonn7yGu+8eB8DIkf24+ebnSU1N45FHLuGYY1pRp85h\nRflr2Ke4+2bgoBxlV8Wpfz9wfx7luaYJln1LZmYmTzzRj4cffp5atdK44YZLOO20VjRqlP3/s2nT\n3/Hss29wwAEVeeedVxk06GH69n2c/fc/gN69B1K/fiN+/nkV119/MS1anEHlylW5+ea7qFSpMgBP\nPTWAt956JVdiSRJLuXJw111w/fWwahW8+mo4uV+0KLtOgwbQrRtcfTVs2gQ1amQvu+8+GDIEpkyB\nihXDybsZ9O8P3bvDkiVw003QsWNILolI2WAGbdrAiBHh//1VV8HChSHBk2XuXPjuu/C+SRM45xwY\nNSokhgBeeAEOPBAuvhheegm2bQsX+Vmuugp++KHEvpLsIbNw/B84EH75Bfr1g+nTQ7I/S1oa/OEP\nYdmvv0LVqqG8UiW48ELo0yfEh/79w7q//gr/93/w22+h3q23wsknh1giyUOPgBWRNWtWMmXKJ3To\ncMnOMjPYvDlcuG/enM5BBx0cldvOJNHmzZuoWTOUf/75R7Rq1YEKFSpQp84h1K3bkHnzZuyyH3fn\nm2+mcPbZbQFo2/ZCPvvso2j9CbRteyEAZ5/dlunTJ+PuhdquFL358ydTs+Yh1KgRJnN6880BdOp0\nB7FThFepchANGx5HuXK5c7Hr1q1kzpxPOPXUS3ItyzJz5gRatAh/8xNOaMv334e/+cyZH9G8eQf2\n268CBx10CLVqNWTJkhksWTKDWrUaUrPmIZQvX4HmzTvkm3wSkZI1b94M6tZtSN26h7DffhVo1aoD\nn3++6//PZs1O4YADKgJw1FEnsGbNSgAOOaQx9es3AqBmzTRSU2uwfv0vADuTP+5ORsZvxByCJEEd\nc0y4M798OWzfDu+/Dy1b7lrnootg+PBwEQjhAgDg0EOhfPnsE/YtW8LJfGpquNBbsiSUT54cehGI\nSNlRpw6sWwcbNsCOHTBvHhyW4x5eRkb2+/32y+69cdBBoQcIhAv9rVtDb6BY1auH5NCyZcX3HaRo\nNGkSbhCsWRN6ck6ZAieeuGudc86BDz8Mf2+AjRvDz2OPhVmzYPPmsGzWLDjuuLAsK/mTkhJiiXr/\nJJ9i6wFkZkcSpjH+0t3TY8rbufv7xbXf0vLkkw9w/fV3sGXL5p1lt99+P717d6dChf2pVKkyTz01\nAoCuXXtwxx3dePPNl/ntty088sjzAPz88yqOOur4nevXqpXGzz+v2mU/Gzeuo3LlqqSklI/q1N5Z\n5+efV3HwwWHokZSU8lSuXIWNG9cVartS9KZPH8OJJ54PwIwZH5KaejD16h1Z6PXffPMBOna8g61b\nN+dbZ8OGVaSmZv/NDzigCps3r2PDhlU0apT9N09NTWP9+lXR+9q7lC9ZomSglI59LU4UJBzDs/9/\n1qqVxty5+f//HDt2FCeffFau8rlzZ7B9+zbq1m2ws2zgwN58+eVEGjZswo039irahkuRO/hgWLky\n+/Pq1eGEPVbDhuHnCy+EE/VnnoEvvgjlmzbBo49CvXrhouCJJ8JFY0oKHHVUeLyjTZvcF38iiUZx\nYleVK2cnfSG8r1Mnd71mzeCkk0JvwtdfD2WrV4dk0dy5oSdIWlr4GXusOfLI8NiPJL7q1bMT/xDe\nN2mya52sY/zdd4d/C2++CTNnhh6jOdeN7UV6xx1hW999l/sRQyn7iqUHkJndCrwD3ALMMrNOMYsf\niLNedzObamZTX345z9mWE9LkyR+TmlqDI444ZpfyUaNeYMCAwYwcOYl27S7i6acHAPDRR2No1+5C\nRo6cxIMPDmbAgDvZsWNHaTRdisn27RnMmjWBE05oR0bGFsaPH8R55/250OvPmvUxVarUoEGDYwqu\nLFIG7WtxoqiNH/8O8+fP4k9/unaX8rVrVzNgwB307DmAcuWyQ3zPngMYOfJTGjRowscf60nDZFC+\nfEj2XHst9OoFfftClSohydOsGfzzn2Fcj/r1s8d56NkznNi/8kq486vxfySRFUWcmDJl34wT33wD\nzz0HkybBqaeGspkzQ8KoS5fQM+Snn0IvolhHHhkSRJIcypULib4HHoCnnw6PDR94YMHrPfww3HJL\n6EF29NHF304pWcXVA+g64ER3TzezRsAoM2vk7k8A+XY+d/fBwGCAn36izHQ4mzVrOl98MYEvv5xE\nRsZWfv01nV69urN06aKdPW/OOec8evYMJ+pjx47ioYeGAHD00c3IyNjKhg3rqFkzjdWrs9Pwa9as\nombNtF32VbVqddLTN5KZuZ2UlPKsWbNyZ52w/gpq1apNZuZ20tM3UbVq9UJtV4rWnDmTqF//aKpW\nrclPP81n7dplDBwYzlvWr1/Jww9fxN/+NpKqVWvluf6iRdOZOXMCc+ZMYtu2rfz2WzrDht1Oly6P\n7FKvWrU01q9fQfXq4W/+22+bqFSpOtWqpbFuXfbffP36VaSmpu3cf2x5tWr6tyClYp+KE4VR2GP1\ntGlf8PLLz/L44y9ToUKFneWbN6fTu/f1dOv2V4466oRc66WkpNCqVQeGDx9C+/YXF8+XkCKxevWu\nvXMOPjh09Y+1alW4oNu+PTwqtmRJGBdo1apwB3/58lDv44+zew/NmAHXXBPen3pqdi8ikQS113Hi\n4YeTK06kp4dEb5YqVUJZfubODb393nsvPMoTO7Dz5ZeHnoFZatUKCYOcxxpJTOvW7dprp0aNXf+e\nEHr2LFwYkv1r1oTeXmlpofx3v9t13ZyJv23bYNo0aN48PCImyaO4xgAql9VN090XAy2B9mb2KHEO\n2GXVddf9jZEjJzF8+AT69HmUZs1O4f77nyY9fRNLl/4IwNSpn9OgQeiXl5ZWh+nTJwOwZMlCMjK2\nkppag9NOa8WECWPIyMhgxYqlLF++mCOPPG6XfZkZzZqdzMSJYUDfcePe4vTTWwFw2mmtGDcujOY4\nceI4mjU7BTMr1HalaIXHvzr8f3v3HmxXWd5x/PtLUOQmoaNi5CbiMYA5bWwdGqHFghoIqNAKFdQa\nrDYjwoBSLlG5pCCXgoPVEbRxyCh4QbxA04JQagQrggIxEECQCFhIUSioyJ2Qp3+sdcjO4ZwDuZzs\nw873M7Mna737Xe969znrrGfy7Pd9FwCvetUkTjnlambPns/s2fOZMOGVHHXUd4dN/gC8853/yEkn\n/ZDZs+dz0EFn8rrXTX1W8gdg8uTd+elPm9/5woWX0dfX/M77+3dnwYKLeeqpJ3nggbu5//672Gab\nP2brrfu5//67eOCBu1m69EkWLLiY/v7dR+eHII1snYoTz8f22/ezZMld3Hvv3Tz11JPMn38xO++8\n4t/n7bffwplnHs/JJ3+BzTZbvvb4U089yXHHHcK0afvw5jfv+Ux5VbFkya+e2f7xj+ez9davWTsf\nSKvs5pubZM4WWzQjffbcE668csU68+c3UzygWd9nm22adTtuvrn5T+FmmzXv7bTT8sWjB/6z8KIX\nNYmgb3977XweaRUZJwa5997mb3vTTZtkzfbbw+LFK9aZMGH59nbbLU8KrLde87cPzf1i2bIVF4/e\nYYdmTSG9MNxxR/NFwctf3oz8nDq1Wci50/XXL0/0bLxxU//++5svD/r7m9FAG27YbC9aBOuv31xb\n0FxfU6asuKi0esNojQD6TZIpVbUQoM3cvx2YC/SPfGhvGD9+PY488lOccMJhJGGTTTbl6KOb0aoH\nHzyLT3/6WL71rS+ThGOOOY0kbLttH7vtNp0PfGAvxo8fz+GHH//Mk7pmzfoHjjzyU7zsZZszc+ZR\nnHTSxzjnnH+hr28H9hzAQAIAAA2YSURBVNprfwD23ns/TjnlKN773rfx0pduynHHfQZgxHa15j3x\nxKPceuuPefe7T3zOug89dD9nnPEuHn/8YcaNG8cVV3yFT3ziEjbYYONhj7n44s+y9daT6e9/C296\n036cd95RnHji29hww0056KDmdz5xYh9veMN0Tjml+Z3vv//xjBvX/M732+94zj77Qyxb9jRTp76L\niRP71swHl1bOOh8nBhs/fj0OO+x4jj66+fucPv1dbLttH3PnfpZJkyazyy5v4YtfPJ3HHnuU2bOb\nKaWbbz6Rk0/+Ildc8T1uvPE6Hnrod1x6aZMUnjXrNF7zmkmceuoxPProI1QV2203iY997J+6+TH1\nPDz9NJx6arOuz7hxcNFFzbe4H/lIk+C58spmvZ+dd27WdFi2DD7zmWZhWGjW/5kzp3kYxS23wHe+\n05TPmAG77tq0ecEFru2gMc84MUhVs6jvfvs1f8eLFjVJnF12aUZ3/PKXzYiNgQTP44/DJe2s3w03\nhP33b9p4+OHl5QMmTVp+r9DYt2wZnHtuM6133Lhmut+SJc0DAu68s5kGOJDoOe20pv755y8fMXbR\nRc3TwaB5GuQjjzRrQh1xRJMsHDeuiR/z53fvM2p0pEZhae8kWwJLq+rXQ7y3S1Vd9Vxt9NrQfq26\nRYu63QONJXvssXrf+l122fO/t6zuuTQ844TWpOnTu90DjSU33GCc6AVrIk702hQwrbobfeaJOpx3\n3robJ0ZlBFBVDfvwwOdzs5Yk9TbjhCRpJMYJSVrzRmsNIEmSJEmSJI0RJoAkSZIkSZJ6nAkgSZIk\nSZKkHmcCSJIkSZIkqceZAJIkSZIkSVrLkuyZ5LYki5PMGuL9DydZlGRhkh8l2bHjvY+3x92WZI/n\ncz4TQJIkSZIkSWtRkvHAWcB0YEfgwM4ET+vrVdVfVVOA04Ez22N3BA4AXg/sCZzdtjciE0CSJEmS\nJElr107A4qq6o6qeBM4H9umsUFUPdexuBFS7vQ9wflU9UVV3Aovb9kZkAkiSJEmSJGkNSzIzyXUd\nr5kdb28B3N2xf09bNriNQ5L8kmYE0GErc+xg663sB5AkSZIkSdLIqmoOMGc12zgLOCvJe4BjgRmr\n2pYjgCRJkiRJktauJcBWHftbtmXDOR/YdxWPBUwASZIkSZIkrW3XAn1Jtk3yYppFned1VkjS17G7\nN3B7uz0POCDJ+km2BfqAnz7XCZ0CJkmSJEmStBZV1dIkhwKXAeOBuVV1c5ITgeuqah5waJK3Ak8B\nv6Wd/tXWuwC4BVgKHFJVTz/XOU0ASZIkSZIkrWVVdQlwyaCy4zu2Dx/h2JOBk1fmfCaAJK1T+vu7\n3QNJ0lhmnJAkjeSFHCdcA0iSJEmSJKnHmQCSJEmSRkmSPZPclmRxkllDvP/hJIuSLEzyoyQ7dqOf\nkqTeZwJIkiRJGgVJxgNnAdOBHYEDh0jwfL2q+qtqCnA6cOZa7qYkaR1hAkiSJEkaHTsBi6vqjqp6\nEjgf2KezQlU91LG7EVBrsX+SpHWIi0BLkiRJqyDJTGBmR9GcqprTsb8FcHfH/j3Anw/RziHAEcCL\ngd1HoauSJJkAkiRJklZFm+yZ85wVn7uds4CzkrwHOBaYsbptSpI0mFPAJEmSpNGxBNiqY3/Ltmw4\n5wP7jmqPJEnrLBNAkiRJ0ui4FuhLsm2SFwMHAPM6KyTp69jdG7h9LfZPkrQOcQqYJEmSNAqqammS\nQ4HLgPHA3Kq6OcmJwHVVNQ84NMlbgaeA3+L0L0nSKDEBJEmSJI2SqroEuGRQ2fEd24ev9U5JktZJ\nTgGTpNWQ5K4ki5IsTHJdW/ZHSS5Pcnv772ZteZJ8LsniJDcm+dOOdma09W9P4re/kiRJktYoE0CS\ntPp2q6opVfXGdn8W8P2q6gO+3+4DTAf62tdM4AvQJIyAE2geDbwTcMJA0kiSJEmS1gQTQJK05u0D\nfKXd/grLn+iyD3BuNa4BJiSZCOwBXF5VD1bVb4HLgT3XdqclSZIk9S4TQJI0jCQzk1zX8Zo5RLUC\n/jPJ9R3vb15V97bbvwY2b7e3AO7uOPaetmy4ckmSJElaI1wEWpKGUVVzgDnPUe0vqmpJklcAlye5\ndVAblaRGrZOSJEmS9Dw4AkiSVkNVLWn/vQ+4kGYNn9+0U7to/72vrb4E2Krj8C3bsuHKJUmSJGmN\nMAEkSasoyUZJNhnYBqYBNwHzgIEnec0A/q3dnge8v30a2FTg9+1UscuAaUk2axd/ntaWSZIkSdIa\n4RQwSVp1mwMXJoHmfvr1qro0ybXABUk+CPwK+Nu2/iXAXsBi4FHgAwBV9WCSk4Br23onVtWDa+9j\nSJIkSep1JoAkaRVV1R3AnwxR/gDwliHKCzhkmLbmAnPXdB8lSZIkCZwCJkmSJEmS1PNMAEmSJEmS\nJPU4E0CSJEmSJEk9zgSQJEmSJElSjzMBJEmSJEmS1ONMAEmSJEmSJPU4E0CSJEmSJEk9zgSQJEmS\nJElSjzMBJEmSJEmS1ONMAEmSJEmSJPU4E0CSJEmSJEk9zgSQJEmSJElSjzMBJEmSJEmS1ONMAEmS\nJEmSJPU4E0CSJEmSJEk9zgSQJEmSJElSj0tVdbsPGkGSmVU1p9v9UPd5LUgaivcGDfBakDQU7w0a\n4LUgRwCNfTO73QGNGV4LkobivUEDvBYkDcV7gwZ4LazjTABJkiRJkiT1OBNAkiRJkiRJPc4E0Njn\nHE0N8FqQNBTvDRrgtSBpKN4bNMBrYR3nItCSJEmSJEk9zhFAkiRJkiRJPc4EkCRJkiRJUo8zATRG\nJZmb5L4kN3W7L+quJFsl+UGSW5LcnOTwbvdJUvcZJzTAOCFpKMYJgTFCK3INoDEqya7Aw8C5VTW5\n2/1R9ySZCEysqgVJNgGuB/atqlu63DVJXWSc0ADjhKShGCcExgityBFAY1RV/RB4sNv9UPdV1b1V\ntaDd/gPwc2CL7vZKUrcZJzTAOCFpKMYJgTFCKzIBJL2AJHk18AbgJ93tiSRpLDJOSJKGY4yQCSDp\nBSLJxsB3gI9W1UPd7o8kaWwxTkiShmOMEJgAkl4QkryI5ob9tar6brf7I0kaW4wTkqThGCM0wASQ\nNMYlCXAO8POqOrPb/ZEkjS3GCUnScIwR6mQCaIxK8g3gamBSknuSfLDbfVLX7AL8HbB7koXta69u\nd0pSdxkn1ME4IelZjBNqGSP0DB8DL0mSJEmS1OMcASRJkiRJktTjTABJkiRJkiT1OBNAkiRJkiRJ\nPc4EkCRJkiRJUo8zASRJkiRJktTjTABpBUmebh8NeFOSbyXZcDXa+qsk/9FuvzPJrBHqTkjykVU4\nx+wkRw7z3vvbz7Eoyc8G6iX5cpL9VvZckiTjhCRpZMYJaewyAaTBHquqKVU1GXgS+HDnm2ms9HVT\nVfOq6rQRqkwAVvqGPZwk04GPAtOqqh+YCvx+TbUvSesw44QkaSTGCWmMMgGkkfw38Nokr05yW5Jz\ngZuArZJMS3J1kgVtZn9jgCR7Jrk1yQLgbwYaSnJQks+325snuTDJDe1rZ+A0YLv224Iz2npHJbk2\nyY1J/qmjrU8m+UWSHwGThun7x4Ejq+p/Aarqiar60uBKSY5vz3FTkjlJ0pYfluSW9tznt2Vvbvu3\nsP0GYJPV/PlK0gudccI4IUkjMU4YJzSGrNftDmhsSrIeMB24tC3qA2ZU1TVJXgYcC7y1qh5Jcgxw\nRJLTgS8BuwOLgW8O0/zngCur6q+TjAc2BmYBk6tqSnv+ae05dwICzEuyK/AIcAAwheb6XQBcP8Q5\nJg9TPtjnq+rE9pznAW8H/r3tz7ZV9USSCW3dI4FDquqqNkA9/jzal6SeZJwwTkjSSIwTxgmNPY4A\n0mAbJFkIXAf8D3BOW/6rqrqm3Z4K7Ahc1dadAWwDbA/cWVW3V1UBXx3mHLsDXwCoqqeraqihlNPa\n189obsrb09zA/xK4sKoeraqHgHmr9WlhtyQ/SbKo7dfr2/Ibga8leR+wtC27CjgzyWHAhKpa+uzm\nJKnnGScaxglJGppxomGc0JjjCCAN9thA1nxAO4rxkc4i4PKqOnBQvRWOW00BTq2qfx10jo8+z+Nv\nBv4MmD/sCZKXAGcDb6yqu5PMBl7Svr03sCvwDuCTSfqr6rQkFwN70QSrParq1pX5UJLUA4wTDeOE\nJA3NONEwTmjMcQSQVsU1wC5JXguQZKMkrwNuBV6dZLu23oHDHP994OD22PFJNgX+AHTOgb0M+PuO\nucBbJHkF8ENg3yQbtHNm3zHMOU4Fzkjyyvb4Fyf50KA6Azfn/2vPs19bdxywVVX9ADgG2BTYOMl2\nVbWoqv4ZuJbmWwRJ0rMZJ4wTkjQS44RxQl3gCCCttKq6P8lBwDeSrN8WH1tVv0gyE7g4yaM0i74N\ntbDZ4cCcJB8EngYOrqqrk1yV5Cbge1V1VJIdgKvbbwweBt5XVQuSfBO4AbiP5sY5VB8vSbI58F9p\nGihg7qA6v0vyJZqF6H7d0dZ44KttIAnwubbuSUl2A5bRfCPwvZX80UnSOsE4YZyQpJEYJ4wT6o40\nUyslSZIkSZLUq5wCJkmSJEmS1ONMAEmSJEmSJPU4E0CSJEmSJEk9zgSQJEmSJElSjzMBJEmSJEmS\n1ONMAEmSJEmSJPU4E0CSJEmSJEk97v8Bel7NNhN4CcEAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"colab_type": "text",
"id": "HKJvWk4MUM1e"
},
"source": [
" 4.6 XGBoost "
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"outputId": "aecb8240-714c-4ff3-c45e-5033a6f21715",
"id": "4sIiIA87UM1f",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 782
}
},
"source": [
"import xgboost as xgb\n",
"params = {}\n",
"params['objective'] = 'binary:logistic'\n",
"params['eval_metric'] = 'logloss'\n",
"params['eta'] = 0.02\n",
"params['max_depth'] = 4\n",
"\n",
"d_train = xgb.DMatrix(X_tr, label=y_train)\n",
"d_test = xgb.DMatrix(X_cr , label=y_cv)\n",
"\n",
"watchlist = [(d_train, 'train'), (d_test, 'valid')]\n",
"\n",
"bst = xgb.train(params, d_train, 400, watchlist, early_stopping_rounds=20, verbose_eval=10)\n",
"\n",
"xgdmat = xgb.DMatrix(X_tr,y_train)\n",
"d_test = xgb.DMatrix(X_te, label=y_test)\n",
"predict_y = bst.predict(d_test)\n",
"print(\"The test log loss is:\",log_loss(y_test, predict_y, labels=clf.classes_, eps=1e-15))"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"[0]\ttrain-logloss:0.686037\tvalid-logloss:0.686264\n",
"Multiple eval metrics have been passed: 'valid-logloss' will be used for early stopping.\n",
"\n",
"Will train until valid-logloss hasn't improved in 20 rounds.\n",
"[10]\ttrain-logloss:0.627941\tvalid-logloss:0.630236\n",
"[20]\ttrain-logloss:0.585854\tvalid-logloss:0.58967\n",
"[30]\ttrain-logloss:0.554472\tvalid-logloss:0.559685\n",
"[40]\ttrain-logloss:0.530438\tvalid-logloss:0.536768\n",
"[50]\ttrain-logloss:0.511657\tvalid-logloss:0.519057\n",
"[60]\ttrain-logloss:0.496642\tvalid-logloss:0.504604\n",
"[70]\ttrain-logloss:0.483971\tvalid-logloss:0.492629\n",
"[80]\ttrain-logloss:0.473931\tvalid-logloss:0.48303\n",
"[90]\ttrain-logloss:0.465607\tvalid-logloss:0.475318\n",
"[100]\ttrain-logloss:0.45863\tvalid-logloss:0.468825\n",
"[110]\ttrain-logloss:0.45258\tvalid-logloss:0.463205\n",
"[120]\ttrain-logloss:0.447511\tvalid-logloss:0.458575\n",
"[130]\ttrain-logloss:0.443278\tvalid-logloss:0.45462\n",
"[140]\ttrain-logloss:0.439687\tvalid-logloss:0.451355\n",
"[150]\ttrain-logloss:0.436489\tvalid-logloss:0.448471\n",
"[160]\ttrain-logloss:0.433715\tvalid-logloss:0.446005\n",
"[170]\ttrain-logloss:0.431153\tvalid-logloss:0.443634\n",
"[180]\ttrain-logloss:0.429026\tvalid-logloss:0.441811\n",
"[190]\ttrain-logloss:0.426707\tvalid-logloss:0.439764\n",
"[200]\ttrain-logloss:0.424854\tvalid-logloss:0.438183\n",
"[210]\ttrain-logloss:0.42299\tvalid-logloss:0.436568\n",
"[220]\ttrain-logloss:0.420913\tvalid-logloss:0.434812\n",
"[230]\ttrain-logloss:0.419246\tvalid-logloss:0.433372\n",
"[240]\ttrain-logloss:0.417655\tvalid-logloss:0.431996\n",
"[250]\ttrain-logloss:0.415866\tvalid-logloss:0.430539\n",
"[260]\ttrain-logloss:0.414382\tvalid-logloss:0.429371\n",
"[270]\ttrain-logloss:0.413073\tvalid-logloss:0.428351\n",
"[280]\ttrain-logloss:0.411905\tvalid-logloss:0.427444\n",
"[290]\ttrain-logloss:0.410746\tvalid-logloss:0.426491\n",
"[300]\ttrain-logloss:0.409722\tvalid-logloss:0.425766\n",
"[310]\ttrain-logloss:0.408668\tvalid-logloss:0.42502\n",
"[320]\ttrain-logloss:0.407459\tvalid-logloss:0.424034\n",
"[330]\ttrain-logloss:0.406495\tvalid-logloss:0.423334\n",
"[340]\ttrain-logloss:0.405659\tvalid-logloss:0.422758\n",
"[350]\ttrain-logloss:0.404737\tvalid-logloss:0.422061\n",
"[360]\ttrain-logloss:0.403716\tvalid-logloss:0.421269\n",
"[370]\ttrain-logloss:0.402872\tvalid-logloss:0.420671\n",
"[380]\ttrain-logloss:0.40199\tvalid-logloss:0.419973\n",
"[390]\ttrain-logloss:0.401122\tvalid-logloss:0.419321\n",
"[399]\ttrain-logloss:0.400299\tvalid-logloss:0.418737\n",
"The test log loss is: 0.4175338218190432\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"outputId": "d2be8d13-dba9-4af6-bafd-6f4afd8e6b5c",
"id": "1yH-tVnzUM1t",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 312
}
},
"source": [
"predicted_y =np.array(predict_y>0.5,dtype=int)\n",
"print(\"Total number of data points :\", len(predicted_y))\n",
"plot_confusion_matrix(y_test, predicted_y)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Total number of data points : 33000\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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iIiIiGc3c03NKCc3aLwmatV/iduVZ+yUvxQlJUJyQOMUJSVCckATFCYnbleOEegCJiIiI\niIiIiGQ4JYBERERERERERDKcEkAiIiIiIiIiIhlOCSARERERERERkQynBJCIiIiIiIiISIZTAkhE\nREREREREJMMpASQiIiIiIiIikuGUABIRERERERERyXBKAImIiIiIiIiIZDglgEREREREREREMpwS\nQCIiIiIiIiIiGU4JIBERERGRFDGzbmb2jZnNMbP+Bax/0MymRZ9vzWxlbF1ObN2Ysm25iIhkmirl\n3QARERERkUxkZpWBx4AuwAJgipmNcfeZiTrufm2s/lVAh9guNrh7+7Jqr4iIZDb1ABIRERERSY1O\nwBx3n+fum4DRQPck9c8Bni2TlomIyC5HCSARERERkdRoAvwYW14QlW3HzFoArYB3Y8XVzGyqmU00\ns9NS10wREdkVaAiYiIiIiEgJmFlvoHesaJi7Dyvh7noAL7p7Tqyshbtnm9k+wLtm9pW7zy1pe0VE\nZNemBJCIiIiISAlEyZ5kCZ9soFlsuWlUVpAewJX59p8d/Z1nZu8T5gdSAkhEREpEQ8BERERERFJj\nCtDazFqZWVVCkme7t3mZ2f5AXeCTWFldM9s9+p4FHAXMzL+tiIhIcakHkIiIiIhICrj7FjPrC7wN\nVAZGuPsMM7sNmOruiWRQD2C0u3ts8wOAoWa2lfDQ9u7428NERER2lOWNM+nDjPRsmJS57MI6Sssu\nqXFjbGe235Fri/vOHUtSS3FCEhQnJE5xQhIUJyRBcULiduU4oSFgIiIiIiIiIiIZTgkgERERERER\nEZEyZmbdzOwbM5tjZv0LWP+gmU2LPt+a2crYupzYuu3mlyuI5gASERERERERESlDZlYZeAzoAiwA\nppjZmPh8b+5+baz+VYS3QSZscPf2O3JM9QASERERERERESlbnYA57j7P3TcBo4HuSeqfAzy7MwdU\nAkhEREREREREpJSZWW8zmxr79I6tbgL8GFteEJUVtJ8WQCvg3VhxtWifE83stOK0R0PARERERERE\nRERKmbsPA4aVwq56AC+6e06srIW7Z5vZPsC7ZvaVu89NthP1ABIRERERERERKVvZQLPYctOorCA9\nyDf8y92zo7/zgPfJOz9QgZQAEhEREREREREpW1OA1mbWysyqEpI8273Ny8z2B+oCn8TK6prZ7tH3\nLOAoYGb+bfPTEDARERERERERkTLk7lvMrC/wNlAZGOHuM8zsNmCquyeSQT2A0e7usc0PAIaa2VZC\nx567428PK4zl3Uf6MCM9GyZlLruwTnCyS2rcGNuZ7Xfk2uKe/FhmNgL4A7DE3dtFZQOAS4GlUbUb\n3X1stO4GoBeQA1zt7m9H5d2AhwkX/uHufndU3orwNoB6wKfABdEbAgTFCcmlOCFx6RQnpHwpTkiC\n4oTE7cpxQj2ARGSXctBBpbq7p4BHgVH5yh909/viBWbWlpC9PxBoDPzXzNpEqx8DuhBm/p9iZmOi\nDP490b5Gm9kQQvJocKmegYiI5FHKcUJERDJMRY4TmgNIRKSE3H0CsKKY1bsTum5udPfvgDlAp+gz\nx93nRb17RgPdzcyA44EXo+1HAsV6vaOIiIiIiEh+SgCJiBTCzHqb2dTYp3cxN+1rZl+a2QgzqxuV\nNQF+jNVZEJUVVl4PWOnuW/KVi4iIiIiI7DAlgERECuHuw9z90NhnWDE2GwzsC7QHFgL3p7SRIiIi\nIiIixaA5gERESpG7L058N7PHgdejxWygWaxq06iMQsqXA3XMrErUCyheX0REREREZIeoB5CISCky\ns0axxT8C06PvY4AeZrZ79Hav1sBkYArQ2sxamVlVwkTRY6LXPL4HnBltfyHwWlmcg4iIiIiIZB71\nABIRKSEzexY4DsgyswXALcBxZtYecOB7oA+Au88ws+eBmcAW4Ep3z4n20xd4m/Aa+BHuPiM6RD9g\ntJndAXwOPFFGpyYiIiIiIhlGCSARkRJy93MKKC40SePuA4GBBZSPBcYWUD6P8JYwERERERGRnaIh\nYCIiIiIiIiIiGU4JIBERERERERGRDKcEkIiIiIiIiIhIhlMCSEREREREREQkwykBJCIiIiIiIiKS\n4ZQAEhERERERERHJcEoAldATT8DixfDVV7llo0fD55+Hz3ffhb8ALVrA+vW56wYPzt2mRw/48kv4\n4gt4802oVy/vca67Dty3L0/o2RO+/TZ8evbMLT/kkLDf2bPh4Ydzy+vWhXHjQv1x46BOnZ37d5C8\nNm3ayOWXn0mvXqdy0UUn8+STjwDwyitPc955Xfjtb3/FqlUrttUfP34MvXqdwp//fAp9+/ZgzpxZ\nACxZspBrr72Aiy76PRdddDIvvjiywOO5O488cgfnndeFXr1O4dtvZ2xb99Zbr3D++V05//yuvPXW\nK9vKv/lmOn/+8ymcd14XHnnkDtw9Ff8UIlICJ54Is2aFa3e/ftuvb9YM3n0XPvssxI2TTgrle+0V\nytesgX/+M+82d9wBP/wQ1knFMXnyBHr2PJHzzuvCM88M2279888/yUUX/Z5evU7huusuZNGibAA+\n/3wil1zSfduna9df89FH/wVCzBg+/EEuuOBELrzwJF56aVSZnpOI7LySxon4+jVr4C9/yS27+upw\nTzN9Ovy//5fa9kvpKSpOfPHFFHr3/iMnnNCWDz54K8+6E044YFucuOmmy7aVF3bPIpmjSnk3oKJ6\n6il49FEYFfvt1KNH7vf77oNVq3KX586FDh3y7qNy5ZCcadsWli+He+6Bvn3h1lvD+qZNoWtXmD+/\n4DbUrQu33AKHHhqSRJ9+CmPGwMqVIcl06aUwaRKMHQvdusFbb0H//vDOO+FY/fqF5f79S+WfRIDd\ndqvKAw+MpHr1GmzZspmrrjqXzp2PpV27QzjiiOO45pqeeeo3atSUhx56mpo1azNp0gfcf/8/GDz4\nBSpXrszll/enTZsDWb9+LX36nMGhhx5Fy5b75dl+0qQJZGd/z9NPj+Prr7/gwQcHMHjwC6xevZJR\nox5lyJCXMDP69Dmdo446npo1a/PQQwO4/vrbOeCAg+nf/1ImT55A586/Kct/JhEpQKVK8Nhj0KUL\nLFgAU6aEa/rXX+fW+fvf4fnnYcgQOOCAcH1v1Qp++QX+8Q9o1y584v7znxCvZs8u2/ORksvJyeHh\nh2/j3nufpH79Blx22ZkceeTxeWJA69YHMGTIS1SrVp3XXnuGoUPv5ZZbHqJDh8MZPvw1AFavXsn5\n53fl0EOPAuCtt15myZKFjBz5JpUqVeLnn5eXy/mJSMnsTJxIeOCB8NA54cADwz1Dp06waVO4X3j9\n9XDvIumrOHGiQYNG9Ot3F889N2K77atWrbYtVsQVds8imUM9gEroww9hRZKk6FlnwbPPJt+HWfjU\nqBGWa9WCn37KXf/gg/C3v4XkTkFOPBHGj4effw5Jn/HjQ6KnYcOwr0mTQr1Ro+C008L37t1hZNSZ\nZOTI3HIpHWZG9erhP+iWLVvIydkCGK1bt6Vhw6bb1W/X7hBq1qwNQNu27Vm2bBEA9ertTZs2BwKw\nxx570rz5Pixbtni77T/++B26dj0NM6Nt2/asW7ea5cuXMGXKR3TseBS1atWhZs3adOx4FJMnf8jy\n5UtYt24tbdu2x8zo2vU0PvronRT9a4jIjujUCebMCT1IN28OvUq7d89bxz1c3wFq186NGevXw8cf\nh0RQfpMmwaJFqW27lK5Zs76kceMWNG7cjN12q8rxx5/Mxx/nvVZ36HA41apVB0L8WLp0+//IH3zw\nNp06HbOt3pgxz3LhhVdSqVL4+Ve3biHdi0UkLe1MnIBQ97vvYEZuh3EOOCDEiQ0bICcHPvgATj89\n9eciO6c4caJhw6bsu+/+2675xVHYPYtkjjJPAJnZxWV9zLJ2zDFheNicObllrVqFrpjvvw9HHx3K\ntmyByy8PXS5/+in0BHriibDu1FMhOzsM4ypMkybw44+5ywsWhLImTcL3/OUADRrk3ggsWhSWpXTl\n5ORwySXd+eMfj6RjxyNp2/bgYm03duyLdOp07HblixYtYM6crznggO33s2zZYvbeu+G25ayshixb\ntni78vr1G2wrr18/Xt6wwMSSSHnaFeJEQQq7pscNGADnnx/qjR0LV11Vpk2UMlLYNbwwY8e+SOfO\n28eP9957gxNO+MO25Z9++pH33htLnz6n06/fJSxY8H2ptlukrChOBDsSJ2rUCL3/EyMNEqZPD/cu\ne+0F1avD738fholJetvROJHfpk0b6dPndK644qxtw4Rl11AePYBuLWyFmfU2s6lmNhW2H8dYUZxz\nTt7ePwsXQvPmYV6e666DZ56BmjWhSpWQAOrQARo3DsmeG24IF98bb4Sbb059WzX9S+mrXLkyw4e/\nxgsvfMCsWV/y3XffFrnN559PZOzYF+nd+/o85Rs2rOPmm6/myitvpEaNPVPVZJF0k/FxoqTOOScM\nQW7WLPxI/9e/Qk9S2XWNH/8a33wznbPPviRP+fLlS5g371sOO+zobWWbNm2iatXdGTr0ZU4++SwG\nDbqxrJsrUloUJwpRWJwYMCCMLli3Lm/9WbPC1BDjxoXhX9OmhZ5AktlGj36PoUNf5u9/v59HH72T\n7OwfyrtJUkZSMgeQmRXWb8WAQvucuPswoiu1GRUyNVG5cug22bFjbtmmTbnDxT77LIypbdMm90f7\nvHnh7/PPh/l4Xnst9Bj64otQ3rRp2K5Tp9CzKCE7G447Lne5adPQwyg7O3yPl2eHuSFZvDgMEVu0\nKPxdsqQ0z17i9tyzFu3bd2by5A9p1apNofXmzp3Ffff9nbvvfpzatetuK9+yZTM333w1v/vdKRx7\nbNcCt83KasCSJbnd/pctW0RWVgOyshowbdrkbeVLly6mfftOZGU1yDNMYOnSUF+krO3KcaIw2dl5\nn7rGr90JvXqFob4AEydCtWqQlQVLl5ZdOyX18l/bly5dXOC1+tNP/8fTTw/hoYeepmrVqnnWvffe\nmxx9dBeqVNltW1n9+g045pguABxzTBcGDbohRWcgsvMUJ7a3M3Gic2c480wYNCi8BGbr1jBs+LHH\nYMSI8AEYODDvSAJJT8WNE4WpXz/Ubdy4Ge3bd2LOnJk0adK81Nsp6SdVPYAaAD2BUwr4ZPSMg7/7\nXcikxy/GWVlh0jYIiZ3WrUPSJzs7DPvKygrrunQJk7hNnx6GZrVqFT4LFoTeQ4vz9ep7++0wSXSd\nOuHTtWsoW7QIVq8OF3oIbwd7LZrja8wYuPDC8P3CC3PLpXSsXLmCtWtXA7Bx4y98+un/aN58n0Lr\nL178EzfffBU33DCIZs1yZ+hzdwYNuokWLfbhrLMK7+V85JHHM27cq7g7M2dOo0aNmtSrtzeHHXY0\nU6d+xJo1q1izZhVTp37EYYcdTb16e1Ojxp7MnDkNd2fcuFc56qgTSu8fQKT4dtk4UZgpU0J8aNkS\ndtstvFhgzJi8dX74AU6I/i+7//7hh72SP5ln//1/TXb29yxc+CObN2/i3Xff4Mgjj89TZ/bsmTzw\nwM0MHDi4wLl83n33DU444eQ8ZUcf/Ts+/zxMEPjFF5Np2rRlys5BpBQoTuSzM3Hi2GNz7y0eegju\nvDMkfwDq1w9/mzULD7KfeabMTklKqDhxojBr1qxi06ZNAKxatYLp0z+jRYv9ithKMkWq3gL2OrCn\nu0/Lv8LM3k/RMcvUM8+E3jdZWWGM7S23hMx5jx7bT/587LFw221hsratW+Gyy8LEzRDG4U6YENbN\nnw8XXZT8uB07hu0vvTTs4/bbQzCAcIzEfq+4InT/rF49zPSfmO3/7rtDT6NevcLxzjqrlP5BBAhd\n7u++uz9bt+awdatz3HHdOOKI3/LSS6MYPXo4K1Yso1evU+nc+Tf89a8DGTXqMVavXslDD4WezJUr\nV2bo0JeZPv1Txo9/jX32acMll4TZ/S655DoOP/w3jBkT/gd26qnncPjhv2HSpA84//wu7L57dfr1\nuxOAWrXqcMEFV3DZZWcC0LPnldSqVQeAa665hbvvvoFNm36hU6djC5w3QqQMZHyc2FE5OeFNkG+/\nHXqTjhgBM2eGODF1anib11/+Ao8/DtdeG4bwxmPGd9+FiT+rVg0T/HftGh4q3HMPnHsu7LFHiFfD\nh28/B4Skl8qVq3D11Tfzt79dwtatOZx00hm0atWaESMe5le/asdRR53AkCGD2LBhPQMGhHc2N2jQ\niIEDhwBh7rilSxdy8MGd8uzOtbPeAAAgAElEQVT33HN7c8cd1/PiiyOpXn0Prr9+YJmfm8gOUJzI\nZ2fjRGFeegnq1Qv3I1demfdNxpKeihMnZs36kn/8oy9r167mk0/e48kn/8lTT73B/PlzeeCBWzAz\n3J1zzrl029vDCrtnkcxhnqaTwGRal00pufxdW2XX1rgxOzXjycEHF//a8sUXO3csSS3FCUlQnJA4\nxQlJUJyQBMUJiduV44ReAy8iIiIiIiIikuGUABIRERERERERyXBKAImIiIiIiIiIZDglgERERERE\nREREMpwSQCIiIiIiIiIiGU4JIBERERERERGRDKcEkIiIiIiIiIhIhlMCSEREREREREQkwykBJCIi\nIiIiIiKS4ZQAEhERERERERHJcEoAiYiIiIiIiIhkOCWARERERERSxMy6mdk3ZjbHzPoXUucsM5tp\nZjPM7JlY+YVmNjv6XFh2rRYRkUxUpbwbICIiIiKSicysMvAY0AVYAEwxszHuPjNWpzVwA3CUu/9s\nZntH5XsBtwCHAg58Gm37c1mfh4iIZAYlgERkl3LQQeXdAhERSWelHCc6AXPcfR6AmY0GugMzY3Uu\nBR5LJHbcfUlUfiIw3t1XRNuOB7oBz5ZqC0VEZIdU5PsJDQETESkhMxthZkvMbHqs7F4zm2VmX5rZ\nK2ZWJypvaWYbzGxa9BkS26ajmX0VDQ94xMwsKt/LzMZHXf/Hm1ndsj9LEREpjJn1NrOpsU/vfFWa\nAD/GlhdEZXFtgDZm9rGZTTSzbjuwrYiISLEpASQiUnJPEZ7Gxo0H2rn7QcC3hG79CXPdvX30uSxW\nPpjwBLh19Enssz/wjru3Bt6JlkVEJE24+zB3PzT2GVaC3VQhXPuPA84BHk88PBARkcxW1vPEFZkA\nMrMaZlYp+t7GzE41s92Ke0IiIpnK3ScAK/KVjXP3LdHiRKBpsn2YWSOglrtPdHcHRgGnRau7AyOj\n7yNj5WlFcUJEpFDZQLPYctOoLG4BMMbdN7v7d4SHB62LuW2FoDghIrK92DxxJwFtgXPMrG2+OvF5\n4g4EronKE/PEdSYMN76lOKMFitMDaAJQzcyaAOOACwhPvUVEMloxuvYX5c/Am7HlVmb2uZl9YGbH\nRGVNCD/+E+Jd/Bu4+8Lo+yKgwY6eQxlRnBARKdgUoLWZtTKzqkAPYEy+Oq8Sev9gZlmEIWHzgLeB\nrmZWN/pR3zUqq4gUJ0REtrdtnjh33wQk5omLK3KeuGhdYp64pIozCbS5+3oz6wX8n7sPMrNpxTwh\nEZEKK+rKX5Lu/JjZTcAW4N9R0UKgubsvN7OOwKtmduAOtMXNzEvSljKgOCEiUgB332JmfQmJm8rA\nCHefYWa3AVPdfQy5iZ6ZQA7wV3dfDmBmtxOSSAC3JSaEroAUJ0RklxQ9QI4/RB4WGy5c0FxvnfPt\nok20n48JcWSAu79VyLZFzhNXrASQmR0BnAf0isoqF2M7EZFdkpldBPwBOCEa1oW7bwQ2Rt8/NbO5\nhAt6NnmHicW7+C82s0buvjAaKraE9KQ4ISJSCHcfC4zNV3Zz7LsD10Wf/NuOAEakuo1lQHFCRHZJ\nO/NAORKfJ64pMMHMfl3SnRVnCNg1hDFnr0RPLPYB3ivpAUVEMln09pa/Aae6+/pYef1onC/RdbQ1\nMC8a4rXazA6P3v7VE3gt2mwMkJjQ7cJYebpRnBARkWQUJ0REtlfm88QV2QPI3T8APgCIJm9b5u5X\nF7WdiEimM7NnCdn4LDNbQJiI7QZgd2B89Db3idEbv44FbjOzzcBW4LJYV/4rCHMhVCfMGZSYN+hu\n4Pmoy/x84KwyOK0dpjghIiLJKE6IiBRo2zxxhORND+DcfHVeJbwh8sl888TNBe6MTfzclbxvHy5Q\nkQmg6DVjlxHGJE8BapnZw+5+b7FOSUQkQ7n7OQUUP1FI3ZeAlwpZNxVoV0D5cuCEnWljWVCcEBGR\nZBQnRES2Vx7zxBVnCFhbd19NeP3wm0Arwsz9IiIioDghIiLJKU6IiBTA3ce6ext339fdB0ZlN0fJ\nHzy4zt3buvuv3X10bNsR7r5f9HmyOMcrTgJoNzPbjXDBHuPum4F0fRONiIiUPcUJERFJRnFCRCQN\nFCcBNBT4HqhBmHG6BbA6lY0SEZEKRXFCRESSUZwQEUkDxZkE+hHgkVjRfDP7beqaJCIiFYnihIiI\nJKM4ISKSHopMAAGY2cnAgUC1WPFtKWmRiIhUOIoTIiKSjOKEiEj5K3IImJkNAc4GrgIM+BPQIsXt\nEhGRCkJxQkREklGcEBFJD8WZA+hId+8J/OzutwJHEN49LyIiAooTIiKSnOKEiEgaKE4CaEP0d72Z\nNQY2A41S1yQREalgFCdERCQZxQkRkTRQnDmAXjezOsC9wGeEVzYOT2mrRESkIlGcEBGRZBQnRETS\nQHHeAnZ79PUlM3sdqObuq1LbLBERqSgUJ0REJBnFCRGR9FBoAsjMTk+yDnd/OTVNEhGRikBxQkRE\nklGcEBFJL8l6AJ2SZJ0DumCLiOzaFCdERCQZxQkRkTRSaALI3S8uy4aIiEjFojghIiLJKE6IiKSX\nQt8CZmbXmVmvAsp7mdk1qW2WiIikO8UJERFJRnFCRCS9JHsN/HnAqALK/wX8OTXNERGRCkRxQkRE\nklGcEBFJI8kSQFXcfXP+QnffBFjqmiQiIhWE4oSIiCSjOCEikkaSJYAqmVmD/IUFlYmIyC5JcUJE\nRJJRnBARSSPJEkD3Am+Y2W/MrGb0OQ54HbivTFonIiLpTHFCRESSUZwQEUkjyd4CNsrMlgK3Ae0I\nr2qcAdzs7m+WUftERCRNKU6IiEgyihMiIuml0AQQQHRh1sVZREQKpDghIiLJKE6IiKSPZEPARERE\nREREREQkAygBJCIiIiIiIiKS4ZQAEhERERERERHJcIXOAWRm1yXb0N0fKP3miIhIRaE4ISIiyShO\niIikl2STQNcss1aIiEhFpDghIiLJKE6IiKSRZK+Bv7UsGyIiIhWL4oSIiCSjOCEikl6SvgYewMyq\nAb2AA4FqiXJ3/3MK20V2dir3LhXJv/9d3i2QdPLXv5Z3CyQ/xQkpb02alHcLJJ24l3cLJL/yihNv\nvZXKvUtFctJJ5d0CSSdffFHeLSg/RSaAgH8Bs4ATgduA84CvU9koEZFUOeig8m5BRlKcEJGMoTiR\nEooTIpIxKnKcKM5bwPZz938A69x9JHAy0Dm1zRIRSX9mNsLMlpjZ9FjZXmY23sxmR3/rRuVmZo+Y\n2Rwz+9LMDoltc2FUf7aZXRgr72hmX0XbPGJmVrZnWGyKEyIikozihIhIGihOAmhz9HelmbUDagN7\np65JIiIVxlNAt3xl/YF33L018E60DHAS0Dr69AYGQ0gYAbcQfgh3Am5JJI2iOpfGtst/rHShOCEi\nIskoToiIpIHiJICGRTcj/wDGADOBQSltlYhIBeDuE4AV+Yq7AyOj7yOB02LlozyYCNQxs0aE7vDj\n3X2Fu/8MjAe6RetquftEd3dgVGxf6UZxQkREklGcEBFJA0XOAeTuw6OvHwD7pLY5IiLpw8x6E3rr\nJAxz92FFbNbA3RdG3xcBDaLvTYAfY/UWRGXJyhcUUJ52FCdERCQZxQkRkfRQnLeA7Q6cAbSM13f3\n21LXLBGR8hcle4pK+CTb3s0s499HozghIiLJKE6IiKSH4rwF7DVgFfApsDG1zRERqfAWm1kjd18Y\nDeNaEpVnA81i9ZpGZdnAcfnK34/KmxZQPx0pToiISDKKEyIiaaA4CaCm7p6uE4+KiKSbMcCFwN3R\n39di5X3NbDRhwudVUZLobeDO2MTPXYEb3H2Fma02s8OBSUBP4J9leSI7QHFCRESSUZwQEUkDxZkE\n+n9m9uuUt0REpIIxs2eBT4BfmdkCM+tFSPx0MbPZwO+iZYCxwDxgDvA4cAWAu68AbgemRJ/bojKi\nOsOjbeYCb5bFeZWA4oSIiCSjOCEikgaK0wPoaOAiM/uO0GXTCFNbHJTSlomIpDl3P6eQVScUUNeB\nKwvZzwhgRAHlU4F2O9PGMqI4ISIiyShOiIikgeIkgE5KeStERKQiU5wQEZFkFCdERNJAoUPAzKxW\n9HVNIR8REdmFKU6IiEgyihMiIsmZWTcz+8bM5phZ/yT1zjAzN7NDo+WWZrbBzKZFnyHFOV6yHkDP\nAH8gzNbvhK6aCQ7sU5wDiIhIxlKcEBGRZBQnREQKYWaVgceALsACYIqZjXH3mfnq1QT+H+HFMHFz\n3b39jhyz0ASQu/8h+ttqR3YoIiK7BsUJEZGimVk34GGgMjDc3e8upN4ZwIvAYe4+1cxaAl8D30RV\nJrr7ZalvcelRnBARSaoTMMfd5wFEbwvuDszMV+924B7grzt7wCLnADKzQwooXgXMd/ctO9sAERGp\n2BQnREQKVh5Pd9OR4oSISIGaAD/GlhcAneMVoutnM3d/w8zyJ4BamdnnwGrg7+7+YVEHLM4k0P8H\nHAJ8Sei2+WtgOlDbzC5393HF2IeIiGQuxQkRkYKV+dPdNKU4ISK7JDPrDfSOFQ1z92HF3LYS8ABw\nUQGrFwLN3X25mXUEXjWzA919dbJ9FjoJdMxPQAd3P9TdOwLtgXmEJxmDitNwERHJaIoTIiIFK+jp\nbpN4hfjT3QK2b2Vmn5vZB2Z2TArbmWqKEyKyS3L3YdG1L/GJJ3+ygWax5aZRWUJNoB3wvpl9DxwO\njDGzQ919o7svj47xKTAXaFNUe4qTAGrj7jNiJzAT2D/xJENERHZ5ihMisksys95mNjX26V30Vnm2\nTzzd/UsBqxNPdzsA1wHPxN6qVdEoToiIbG8K0NrMWplZVaAHMCax0t1XuXuWu7d095bARODUaJ64\n+tEwY8xsH6A1IbGeVHGGgM0ws8HA6Gj5bGCmme0ObN6BkxMRkcykOCEiu6ToSW6yrvw78nQXoCHh\n6e6p7j4V2Bgd51MzSzzdnVp6Z1BmFCdERPJx9y1m1hd4m/CigBHuPsPMbgOmuvuYJJsfC9xmZpuB\nrcBl7r6iqGMWJwF0EXAFcE20/DFwPeFi/dtibC8iIpntIhQnREQKsu3pLiHx0wM4N7HS3VcBWYll\nM3sfuD7xdBdY4e45O/J0N01dhOKEiMh23H0sMDZf2c2F1D0u9v0l4KUdPV6RCSB33wDcH33yW7uj\nBxQRkcyiOCEiUrDyeLqbjhQnRETSQ6EJIDN73t3PMrOvAM+/3t0PSmnLREQkrSlOiIgUrayf7qYT\nxQkRkfSSrAfQ/4v+/qEsGiIiIhWO4oSIiCSjOCEikkYKTQC5+8JoVumn3F1jc0VEJA/FCRERSUZx\nQkQkvSR9Dby75wBbzax2GbVHREQqEMUJERFJRnFCRCR9FOctYGuBr8xsPLAuUejuV6esVSIiUpEo\nToiISDKKEyIiaaA4CaCXo4+IiEhBFCdERCQZxQkRkTRQnATQc8B+0fc57v5LCtsjIiIVj+KEiIgk\nozghIpIGCp0DyMyqmNkgYAEwEhgF/Ghmg8xst7JqoIiIpCfFCRERSUZxQkQkvSSbBPpeYC+glbt3\ndPdDgH2BOsB9ZdE4ERFJa4oTIiKSjOKEiEgaSZYA+gNwqbuvSRS4+2rgcuD3qW6YiIikPcUJERFJ\nRnFCRCSNJEsAubt7AYU5wHblIiKyy1GcEBGRZBQnRETSSLIE0Ewz65m/0MzOB2alrkkiIlJBKE6I\niEgyihMiImkk2VvArgReNrM/A59GZYcC1YE/prphIiKS9hQnREQkGcUJEZE0UmgCyN2zgc5mdjxw\nYFQ81t3fKZOWiYhIWlOcEBGRZBQnRETSS7IeQAC4+7vAu2XQFhERqYAUJ0REJBnFCRGR9FBkAkhE\nJJMcdFB5t0BERNKZ4oSIiCRTkeNEskmgRUREREREREQkAygBJCIiIiIiIiKS4ZQAEhEpITP7lZlN\ni31Wm9k1ZjbAzLJj5b+PbXODmc0xs2/M7MRYebeobI6Z9S+fMxIRERERkUylOYBERErI3b8B2gOY\nWWUgG3gFuBh40N3vi9c3s7ZAD8KbUBoD/zWzNtHqx4AuwAJgipmNcfeZZXIiIiIiIiKS8ZQAEhEp\nHScAc919vpkVVqc7MNrdNwLfmdkcoFO0bo67zwMws9FRXSWARERERESkVGgImIhIIcyst5lNjX16\nJ6neA3g2ttzXzL40sxFmVjcqawL8GKuzICorrFxERERERKRUKAEkIlIIdx/m7ofGPsMKqmdmVYFT\ngReiosHAvoThYQuB+8ukwSIiIiIiIoXQEDARkZ13EvCZuy8GSPwFMLPHgdejxWygWWy7plEZScpF\nRERERER2mnoAiYjsvHOIDf8ys0axdX8EpkffxwA9zGx3M2sFtAYmA1OA1mbWKupN1COqKyIiIiIi\nUirUA0hEZCeYWQ3C27v6xIoHmVl7wIHvE+vcfYaZPU+Y3HkLcKW750T76Qu8DVQGRrj7jDI7CRER\nERERyXhKAImI7AR3XwfUy1d2QZL6A4GBBZSPBcaWegNFRERERETQEDARERERERERkYynHkClKCcn\nh8suO4OsrAbcdddQXnnlaV58cSQ//fQDr776CbVr7wXADz/M5Z57bmT27Bn06nUtZ5/da9s+7rnn\nBiZOfJ86derx5JOvF3gcd+ef/xzIpEkfUK1aNfr1u5s2bQ4E4K23XuHppwcDcP75l9Ot2x8B+Oab\n6dxzzw1s3PgLnTv/hquuugkzS+U/xy6rY0c46CBwh2XL4M03w3LHjlC3Ljz6KGzYEOpWrQonnwy1\nakGlSjBlCkyfHpZPOw3MQvlnn8EXX2x/rGrV4JRToHZtWLUKxoyBjRvDuuOPh332gS1bYOxYWLIk\nlB94IBxxRPj+yScwQwONRNLG5MkTePTRgeTkbOXkk//Euef2zrP+iy+m8NhjdzJ37jfcfPMD/OY3\n3batGzJkEBMnfoD7Vjp2PGrbdf7dd8fy738PJidnK0cccRx9+vy1rE9LSuDEE+Hhh6FyZRg+HO65\nJ+/6Bx6A3/42fN9jD9h77xBjDj4YBg8OcSQnBwYOhOefz7vtww/Dn/8MNWuWzbmISOmZOXMCL788\nkK1bt3LEEX+iS5e8ceKjj57lww+foVKlSuy++x6cffbtNGq0H/Pnf8no0f8Awr3ESSddxcEHd9m2\n3datOdx77xnUqdOAPn2Gluk5SckceST06xfuFV55BUaM2L5O165w2WXh+zffwA03hO8NG8KAAdCg\nQbhn6dsXfvoprOvbN2yXkwMvvADPPFMmpyNlRAmgUvTSS6No3nxf1q9fC0C7dodwxBHHcc01PfPU\nq1mzDldddRMfffTOdvvo1u10/vjH87nrrn6FHmfSpAlkZ3/P00+P4+uvv+DBBwcwePALrF69klGj\nHmXIkJcwM/r0OZ2jjjqemjVr89BDA7j++ts54ICD6d//UiZPnkDnzr8p3X8AYc894ZBD4MknQ+Ll\nlFNg//0hOxvmzoUePfLW79ABli8PF+3q1aFXL5g5E9auhX//O1x4d9sNLr4Y5syBdevybt+5M8yf\nD5MnQ6dOYXnCBGjVKtwIDB8OjRpBly5hf9WqhWDxr3+Fi33PnmG/iaSRiJSfnJwcHn74Nu6990nq\n12/AZZedyZFHHk/Llvttq9OgQSP69buL557L+ytv+vTPmD79M554IswdfvXV5/LFF5Np1aoNQ4cO\nYujQl6lTZy/uuqsfn376CR07HlGm5yY7plIleOyxcO1esCA8HBgzBr7+OrfOddflfu/bN8QTgPXr\nc6/tjRrBp5/C22+HhwSQ+zBCRCqerVtzeOGF27jyyiepU6cB9913Ju3aHU+jRrlxomPHUzj66HMA\n+Oqrd3jllbu44oonaNSoNddf/xKVK1dh1aol3HNPd9q1+y2VK4fbwfffH0XDhvvyyy9ry+XcZMdU\nqgQ33gh9+sDixSFJ8/77MG9ebp3mzcO9xYUXwpo1sNdeuevuuCPcJ0ycGO5B3EN59+4hOdS9eyiL\nbyOZQUPASsnSpYuYOPF9Tj75zG1lrVu3pWHDptvVrVu3HvvvfxBVqmyffzv44MOoVat20mN9/PE7\ndO16GmZG27btWbduNcuXL2HKlI/o2PEoatWqQ82atenY8SgmT/6Q5cuXsG7dWtq2bY+Z0bXraQUm\nn6R0VKoEVaqE3ju77RaSNkuWwOrVBdevWjX37y+/wNat4ZOTE8orVw77Ksh+++X24JkxA1q3Dt9b\nt84tX7gwJH5q1ICWLUPC6JdfQtJn/vyQLBKR8jdr1pc0btyCxo2bsdtuVTn++JP5+OO81+qGDZuy\n7777U6lS3vBtZmzatIktWzazeXP4W7duFgsX/kiTJi2oUyf8guvY8QgmTHi7zM5JSqZTp5DA+e47\n2LwZRo8OP8YLc8458Gz0HsLZs8O2EK7/S5ZA/fphuVIluPde+NvfUtt+EUmN+fO/pH79FmRlNaNK\nlaoccsjJfPVV3jhRvfqe275v2rRhW4//qlWrb0v2bNmyMc9IgJ9/XsTMme9zxBFnIhVDu3bw44/h\nIfOWLfDWW3DccXnrnH56iB9r1oTlFSvC3332CfcqEyeG5Q0bwr0BwFlnwdChuQmhxDaSOVLWA8jM\n9geaAJPcfW2svJu7v5Wq45aXRx+9kz59/sqGDeuKrryTli1bzN57N9y2nJXVkGXLFm9XXr9+g23l\n9evHy0N9KX1r14YntX36hIvx99+HT2E++yxcnC+/PCSA/vOf3HU1a8IZZ0CdOvDBB9v3/oHQ7T9R\nvm5dWIbQEylxsYfwfc89wz7jiag1azQEQMrPrhYnilLQNfzrr78s1rYHHtiBDh06c8YZRwPOaaed\nT4sW+7JmzSp+/PE7Fi1aQP36Dfnoo3fYsmVzis5ASkuTJuGHfcKCBaGHZ0GaNw+J/Hff3X7dYYeF\n2DJ3blju2zf0JFq0qPTbLJIKihN5rVy5mDp1cuNEnToNmD9/+zgxYcK/ee+9J8nJ2UzfviO3lX//\n/Rc888yNrFjxExdcMGhbQujll+/k1FP/ysaNqb+PkdKx9955r+VLlsCvf523TosW4e9TT4UHyoMH\nw//+F8rXrAlDiZs0CYmghx8OD6CbNg1DkI8/Hn7+OQw//uGHMjstKQMp6QFkZlcDrwFXAdPNLP7c\n6s4k2/U2s6lmNvXpp4elomkp8ckn71Gnzl786lftyrspUs523z30yhk2LFxkd9sN2rYtvH6rVuGC\nPXgwjBwJJ5yQ2yNozZpwwX788TBvTyK5I5IJdrU4kWrZ2fOZP38uL7zwAS+8MIHPP5/Il19OpWbN\n2lx77QBuvfVarr76PBo2bLJd7yGp2Hr0gBdfDD/c4xo2DMN9L744PMlt1Aj+9Cf45z/Lp50iO6o0\n4sTYsbtmnDj22PO45Zb/cuqp1zNu3OBt5S1bHsyNN77B9de/yPjxQ9m8eSPTp79HzZp70by57mMy\nTZUqIdlzySXQvz/cckt48Fu5chg2fP/9cO65IemT6GVatSps2hTKX34Zbr21fM9BSl+qegBdCnR0\n97Vm1hJ40cxauvvDQKEzD7v7MGAYwE8/4SlqW6mbPv0z/ve/d5k0aQKbNm1k/fq1DBx4PTfddF9K\njpeV1YAlS3JTvsuWLSIrqwFZWQ2YNm3ytvKlSxfTvn0nsrIasHTpolh5qC+lr0WLMM9CYpLn2bOh\nceMwr09B2rWDSZPC95Urw7Z77ZU3o79uXZhMumlT+PbbvNuvXx+Gdq1bF/6uXx/K167N27OnZs1Q\ntmZNeFocL1dWX8rJLhUniiP/tX3p0sXFvlZ/+OF42rY9mOrVawDQqdMxzJjxOQcddChHHnk8Rx55\nPAD/+c9zSgBVANnZ0KxZ7nLTpqGsID16wJVX5i2rWRPeeANuuik3xnToEB5QJIaH7bFHiFGJocMi\naWin48Tbb2dWnKhTpwErV+bGiZUrF1O7duFx4pBDTub55wdsV96w4b7svvseLFz4LfPmfcZXX73L\nzJkT2Lx5I7/8spZRo66nZ8/U3MdI6ViyJCT6E/beO8wFFLd4MXz1VRiVkJ0dpn5o3jyUf/NNblx5\n773c3kOLF8M70ajCd95RAigTpepXYKVEN013/x44DjjJzB4gyQW7orr00r/wwgsTGD36XW6++QE6\ndDg8ZckfgCOPPJ5x417F3Zk5cxo1atSkXr29Oeywo5k69SPWrFnFmjWrmDr1Iw477Gjq1dubGjX2\nZObMabg748a9ylFHnZCy9u3K1qwJCZ/E9E7/v717D9KjKvM4/v0RNCIX45XFECCFEUVSi7sYKFmD\neIEAGtwVqGBxyYpGFBYpVxRLRYRCUKtwdQHLoBFZxejKqlmJZlHwRgVMjAkQBAmIkizKJSzIRWHC\ns390D3kZZya3yczw5vupemu6T58+fd7krX5mnvec07vs0izyPFj93uGZz352k/x54IFmulZvG2PH\nNsMz+5uDu2JFMzoImp+9v9h3lu+0U7Pez8MPN9PRdt21aXPs2GZ7sClq0ma0RcWJ9fGyl01m1ao7\nuOuuO3n88ce46qornkzcrMuLXvRili1bxJo1PfT0PM6yZYvYddfdAbj//uYm9Kc/PcB3v3sZhx12\n5GZ7DxoaixY1iZnddmtGks6Y0Uzd6muPPZoFnRcuXFv2jGc0Dxa49FK4/PK15fPnN/Fg4sTm9cgj\nJn806hkn+thll8ncc88d3HffnfT0PMaSJVcwefJT48Tdd9/x5Pby5T/mhS9sftG87747WbOmB4DV\nq1fxxz/ezvOeN57p0/+Vs8/+KWeeeRUzZ57PS1+6n8mfp4Hly5u/M8aPb/5mmDatWTKi01VXwT77\nNNvjxjW/969c2Zy7/fZrHwgwZcraxaOvvrqZPgzNub/73fC8Hw2fzTUC6I9J9q6qpQBt5v5NwBxg\n8uCndo/LL7+UuXO/yOrV93LCCdPZd98DOO20c1i9+h7e9a638sgjD5Fsxbe+9RUuuWQ+2267HWef\n/T6WLv0FDzxwP0ceObVBCzMAAA8jSURBVJWZM/+Fww47knnzmtUdp08/mv32O4DrrvsJxxzzRsaO\n3YYPfrAZBbvDDuM49tj3cOKJzQJuxx13EjvsMA6AU0/9GOed9yEee+zPTJkylX33nToy/yhd7q67\nmlE6xx3XDMe/+264/vrmyWBTpjSjdGbObG6yCxY083APPbQpg+YJXo8+2tygDzywGbafNH8M3Htv\nU+fgg2Hp0iZDf911MH1685j5Bx9c+wfC7bc3C7y9853NAqLf/35T/uc/N38oHHtss79w4dpF36Rh\nZpzoY8yYrTnllDP4wAfewRNPrOGQQ97KxImTmDPns+yxx17sv//rufnm6/noR0/moYceZOHCq/ny\nl/+dSy65ggMOOJhf/epa3v72N5OEV73qNU8mjy644Bxuu+1moIkLEya48vtot2ZNs17PggXNUP05\nc5qRpB//OCxevHa9uBkzmgU+Ox11FEydCs9//trYMnMmLFs2nO9AGhLGiT7GjNmaI444g4suauLE\nfvu9lZ12msQVV3yWXXbZi8mTX8/PfvZVbrllIWPGbM022+zAMcd8EoDbbvslP/zhxYwZszXJVhx1\n1Jlst52PeHq6WrMGzj23WUZiq63gO99p1nt7z3uaBM9PftL8nfHqVzdTuZ54Aj7zmbVPhDz//GbJ\niqSJL71fGMyZA5/4BBxzTPNFgSOAuk+qhn5kZJKdgZ6q+qtlBpPsX1XXrKuNbhvar433ta+NdA80\nmpx22qZ967chw8EPPnjL/IZxOBgnNJTGjx/pHmg0qTJOdIOhiBPdNgVMG8+nH6rTsmVbbpzYLFPA\nqmplfzfr9tg6b9aSpO5mnJAkDcY4IWlLkGRakluSrEhyej/HT0xyQ5KlSX6eZM+OYx9qz7slycHr\ncz1XgpQkSZIkSRpGScYAFwKHAHsCR3cmeFqXVdXkqtob+BRwfnvunsAM4BXANOCitr1BmQCSJEmS\nJEkaXlOAFVV1e1U9BswFDu+sUFUPduxuC09OPzscmFtVf6mq3wIr2vYGZQJIkiRJkiRpiCWZlWRx\nx2tWx+HxwJ0d+yvbsr5tnJTkNpoRQKdsyLl9ba6ngEmSJEmSJG2xqmo2MHsT27gQuDDJ24CPAMdv\nbFuOAJIkSZIkSRpeq4AJHfs7t2UDmQu8ZSPPBUwASZIkSZIkDbdFwKQkE5M8k2ZR53mdFZJM6tg9\nDLi13Z4HzEgyNslEYBLwi3Vd0ClgkiRJkiRJw6iqepKcDCwAxgBzqmp5krOAxVU1Dzg5yRuAx4H7\naad/tfW+CdwE9AAnVdWadV3TBJAkSZK0mSSZBnyW5pf7L1bVeX2OnwicBKwBHgJmVdVN7bEPASe0\nx06pqgXD2XdJ0uZVVfOB+X3KzujYfu8g554DnLMh13MKmCRJkrQZJBkDXAgcAuwJHJ1kzz7VLquq\nyVW1N80TXs5vz92TZjrAK4BpwEVte5IkbRQTQJIkSdLmMQVYUVW3V9VjNAt4Ht5Zoaoe7NjdFqh2\n+3BgblX9pap+C6xo25MkaaOYAJIkSZI2QpJZSRZ3vGb1qTIeuLNjf2Vb1redk5LcRjMC6JQNOVeS\npPXlGkCSJEnSRqiq2cDsIWjnQuDCJG8DPkK7yKckSUPJEUCSJEnS5rEKmNCxv3NbNpC5wFs28lxJ\nkgblCCBJW5TJk0e6B5Kk0WyI48QiYFKSiTTJmxnA2zorJJlUVbe2u4cBvdvzgMuSnA+8GJgE/GJI\neydJ2mBP578nTABJkiRJm0FV9SQ5GVhA8xj4OVW1PMlZwOKqmgecnOQNwOPA/bTTv9p63wRuAnqA\nk6pqzYi8EUlSVzABJEmSJG0mVTUfmN+n7IyO7fcOcu45wDmbr3eSpC2JawBJkiRJkiR1ORNAkrQJ\nktyR5IYkS5Msbsuel+TKJLe2P5/blifJ55KsSHJ9kr/raOf4tv6tSXz6iyRJkqQhZQJIkjbdgVW1\nd1Xt0+6fDvyoqiYBP2r3AQ6hWcRzEjAL+Dw0CSPgY8C+wBTgY71JI0mSJEkaCiaAJGnoHQ58pd3+\nCmsf6Xs4cGk1rgXGJdkJOBi4sqpWV9X9wJXAtOHutCRJkqTuZQJIkjZNAf+T5JdJZrVlO1bVXe32\nH4Ad2+3xwJ0d565sywYqlyRJkqQh4VPAJGkAbUJnVkfR7Kqa3afaP1TVqiQvAq5McnPnwaqqJLW5\n+ypJkiRJgzEBJEkDaJM9fRM+feusan/eneTbNGv4/DHJTlV1VzvF6+62+ipgQsfpO7dlq4DX9in/\n8VC8B0mSJEkCp4BJ0kZLsm2S7Xu3gYOAG4F5QO+TvI4HvttuzwOOa58Gth/wQDtVbAFwUJLntos/\nH9SWSZIkSdKQcASQJG28HYFvJ4HmfnpZVf0gySLgm0lOAH4HHNXWnw8cCqwAHgH+GaCqVic5G1jU\n1jurqlYP39uQJEmS1O1MAEnSRqqq24G/7af8PuD1/ZQXcNIAbc0B5gx1HyVJkiQJnAImSZIkSZLU\n9UwASZIkSZIkdTkTQJIkSZIkSV3OBJAkSZIkSVKXMwEkSZIkSZLU5UwASZIkSZIkdTkTQJIkSZIk\nSV3OBJAkSZIkSVKXMwEkSZIkSZLU5UwASZIkSZIkdTkTQJIkSZIkSV3OBJAkSZIkSVKXMwEkSZIk\nSZLU5UwASZIkSZIkdTkTQJIkSZIkSV3OBJAkSZIkSVKXMwEkSZIkSZLU5UwASZIkSZIkdTkTQJIk\nSZIkSV3OBJAkSZIkSVKXMwEkSZIkSZI0zJJMS3JLkhVJTu/n+NQkS5L0JDmiz7E1SZa2r3nrc72t\nh6rjkiRJkiRJWrckY4ALgTcCK4FFSeZV1U0d1X4PzATe308Tj1bV3htyTRNAkiRJkiRJw2sKsKKq\nbgdIMhc4HHgyAVRVd7THnhiKC6aqhqIdbSZJZlXV7JHuh0aenwVJ/fHeoF5+FiT1x3uDevlZGH5J\nZgGzOopm9/4ftFO6plXVO9r9Y4F9q+rkftq5BPheVX2ro6wHWAr0AOdV1XfW1R/XABr9Zq27irYQ\nfhYk9cd7g3r5WZDUH+8N6uVnYZhV1eyq2qfjNZQJuF2rah/gbcC/Jdl9XSeYAJIkSZIkSRpeq4AJ\nHfs7t2XrpapWtT9vB34MvHJd55gAkiRJkiRJGl6LgElJJiZ5JjADWK+neSV5bpKx7fYLgP3pWDto\nICaARj/naKqXnwVJ/fHeoF5+FiT1x3uDevlZGEWqqgc4GVgA/Br4ZlUtT3JWkukASV6VZCVwJPCF\nJMvb018OLE6yDLiaZg2gdSaAXARakiRJkiSpyzkCSJIkSZIkqcuZAJIkSZIkSepyJoBGqSRzktyd\n5MaR7otGVpIJSa5OclOS5UneO9J9kjTyjBPqZZyQ1B/jhMAYoadyDaBRKslU4CHg0qraa6T7o5GT\nZCdgp6pakmR74JfAW9ZnkS9J3cs4oV7GCUn9MU4IjBF6KkcAjVJV9VNg9Uj3QyOvqu6qqiXt9p9o\nVogfP7K9kjTSjBPqZZyQ1B/jhMAYoacyASQ9jSTZDXglcN3I9kSSNBoZJyRJAzFGyASQ9DSRZDvg\ncuDUqnpwpPsjSRpdjBOSpIEYIwQmgKSnhSTPoLlhf62q/muk+yNJGl2ME5KkgRgj1MsEkDTKJQnw\nJeDXVXX+SPdHkjS6GCckSQMxRqiTCaBRKsnXgYXAHklWJjlhpPukEbM/cCzwuiRL29ehI90pSSPL\nOKEOxglJf8U4oZYxQk/yMfCSJEmSJEldzhFAkiRJkiRJXc4EkCRJkiRJUpczASRJkiRJktTlTABJ\nkiRJkiR1ORNAkiRJkiRJXc4EkJ4iyZr20YA3JvnPJM/ehLZem+R77fb0JKcPUndckvdsxDXOTPL+\nAY4d176PG5L8qrdekkuSHLGh15IkGSckSYMzTkijlwkg9fVoVe1dVXsBjwEndh5MY4M/N1U1r6rO\nG6TKOGCDb9gDSXIIcCpwUFVNBvYDHhiq9iVpC2ackCQNxjghjVImgDSYnwEvSbJbkluSXArcCExI\nclCShUmWtJn97QCSTEtyc5IlwD/1NpRkZpIL2u0dk3w7ybL29WrgPGD39tuCT7f1TkuyKMn1ST7e\n0daHk/wmyc+BPQbo+4eA91fV/wJU1V+q6uK+lZKc0V7jxiSzk6QtPyXJTe2157ZlB7T9W9p+A7D9\nJv77StLTnXHCOCFJgzFOGCc0imw90h3Q6JRka+AQ4Adt0STg+Kq6NskLgI8Ab6iqh5N8EHhfkk8B\nFwOvA1YA3xig+c8BP6mqf0wyBtgOOB3Yq6r2bq9/UHvNKUCAeUmmAg8DM4C9aT6/S4Bf9nONvQYo\n7+uCqjqrveZ/AG8C/rvtz8Sq+kuScW3d9wMnVdU1bYD683q0L0ldyThhnJCkwRgnjBMafRwBpL62\nSbIUWAz8HvhSW/67qrq23d4P2BO4pq17PLAr8DLgt1V1a1UV8NUBrvE64PMAVbWmqvobSnlQ+/oV\nzU35ZTQ38NcA366qR6rqQWDeJr1bODDJdUluaPv1irb8euBrSY4Betqya4Dzk5wCjKuqnr9uTpK6\nnnGiYZyQpP4ZJxrGCY06jgBSX4/2Zs17taMYH+4sAq6sqqP71HvKeZsowLlV9YU+1zh1Pc9fDvw9\ncNWAF0ieBVwE7FNVdyY5E3hWe/gwYCrwZuDDSSZX1XlJrgAOpQlWB1fVzRvypiSpCxgnGsYJSeqf\ncaJhnNCo4wggbYxrgf2TvAQgybZJXgrcDOyWZPe23tEDnP8j4N3tuWOSPAf4E9A5B3YB8PaOucDj\nk7wI+CnwliTbtHNm3zzANc4FPp3kb9rzn5nkHX3q9N6c722vc0RbdytgQlVdDXwQeA6wXZLdq+qG\nqvoksIjmWwRJ0l8zThgnJGkwxgnjhEaAI4C0warqniQzga8nGdsWf6SqfpNkFnBFkkdoFn3rb2Gz\n9wKzk5wArAHeXVULk1yT5Ebg+1V1WpKXAwvbbwweAo6pqiVJvgEsA+6muXH218f5SXYEfpimgQLm\n9Knzf0kuplmI7g8dbY0BvtoGkgCfa+ueneRA4AmabwS+v4H/dJK0RTBOGCckaTDGCeOERkaaqZWS\nJEmSJEnqVk4BkyRJkiRJ6nImgCRJkiRJkrqcCSBJkiRJkqQuZwJIkiRJkiSpy5kAkiRJkiRJ6nIm\ngCRJkiRJkrqcCSBJkiRJkqQu9/+H1qyHXrrq7QAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "uIqlRCBS05oX",
"colab_type": "code",
"outputId": "88006623-9525-4393-9fd9-743c5b7130fb",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 323
}
},
"source": [
"# https://gist.github.com/wrwr/3f6b66bf4ee01bf48be965f60d14454d\n",
"import time\n",
"\n",
"import xgboost as xgb\n",
"from sklearn.model_selection import RandomizedSearchCV\n",
"\n",
"x_train, y_train, x_valid, y_valid, x_test, y_test = X_tr , y_train , X_cr , y_cv , X_te , y_test # load datasets\n",
"\n",
"clf = xgb.XGBClassifier()\n",
"\n",
"param_grid = {\n",
" 'silent': [False],\n",
" 'max_depth': [1,2,3,4,5],\n",
" 'learning_rate': [0.00001,0.0001,0.001, 0.01, 0.1, 0.2, 0,3],\n",
" 'subsample': [0.5, 0.6, 0.7, 0.8, 0.9, 1.0],\n",
" 'colsample_bytree': [0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0],\n",
" 'colsample_bylevel': [0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0],\n",
" 'min_child_weight': [0.5, 1.0, 3.0, 5.0, 7.0, 10.0],\n",
" 'gamma': [0, 0.25, 0.5, 1.0],\n",
" 'reg_lambda': [0.1, 1.0, 5.0, 10.0, 50.0, 100.0],\n",
" 'n_estimators': [100]}\n",
"\n",
"fit_params = {'eval_metric': 'logloss',\n",
" 'early_stopping_rounds': 10,\n",
" 'eval_set': [(x_valid, y_valid)]}\n",
"\n",
"rs_clf = RandomizedSearchCV(clf, param_grid, n_iter=20,n_jobs=-1, verbose=2, cv=2,scoring='neg_log_loss', refit=False, random_state=42)\n",
"print(\"Randomized search..\")\n",
"search_time_start = time.time()\n",
"rs_clf.fit(x_train, y_train,**fit_params)\n",
"print(\"Randomized search time:\", time.time() - search_time_start)\n",
"\n",
"best_score = rs_clf.best_score_\n",
"best_params = rs_clf.best_params_\n",
"print(\"Best score: {}\".format(best_score))\n",
"print(\"Best params: \")\n",
"for param_name in sorted(best_params.keys()):\n",
" print('%s: %r' % (param_name, best_params[param_name]))"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Randomized search..\n",
"Fitting 2 folds for each of 20 candidates, totalling 40 fits\n"
],
"name": "stdout"
},
{
"output_type": "stream",
"text": [
"[Parallel(n_jobs=-1)]: Using backend LokyBackend with 2 concurrent workers.\n",
"[Parallel(n_jobs=-1)]: Done 37 tasks | elapsed: 3.8min\n"
],
"name": "stderr"
},
{
"output_type": "stream",
"text": [
"Randomized search time: 233.99588918685913\n",
"Best score: -0.3964163938054521\n",
"Best params: \n",
"colsample_bylevel: 1.0\n",
"colsample_bytree: 0.7\n",
"gamma: 0.25\n",
"learning_rate: 0.2\n",
"max_depth: 4\n",
"min_child_weight: 5.0\n",
"n_estimators: 100\n",
"reg_lambda: 1.0\n",
"silent: False\n",
"subsample: 0.9\n"
],
"name": "stdout"
},
{
"output_type": "stream",
"text": [
"[Parallel(n_jobs=-1)]: Done 40 out of 40 | elapsed: 3.9min finished\n"
],
"name": "stderr"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"outputId": "d344e571-609a-43ba-ce15-5681d7e5f6fd",
"id": "xGycKBxgC5zl",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 731
}
},
"source": [
"import xgboost as xgb\n",
"params = {'objective' : 'binary:logistic', \n",
" 'eval_metric' : 'logloss' , \n",
" 'colsample_bylevel': 1.0 ,\n",
" 'colsample_bytree': 0.7,\n",
" 'gamma': 0.25 , \n",
" 'learning_rate': 0.2,\n",
" 'max_depth': 4,\n",
" 'min_child_weight': 5.0,\n",
" 'n_estimators': 100,\n",
" 'reg_lambda': 1.0,\n",
" 'silent': False,\n",
" 'subsample': 0.9}\n",
"\n",
"d_train = xgb.DMatrix(X_tr, label=y_train)\n",
"d_test = xgb.DMatrix(X_cr , label=y_cv)\n",
"\n",
"watchlist = [(d_train, 'train'), (d_test, 'valid')]\n",
"\n",
"bst = xgb.train(params, d_train, 400, watchlist, early_stopping_rounds=20, verbose_eval=10)\n",
"\n",
"xgdmat = xgb.DMatrix(X_tr,y_train)\n",
"d_test = xgb.DMatrix(X_te, label=y_test)\n",
"predict_y = bst.predict(d_test)\n",
"print(\"The test log loss is:\",log_loss(y_test, predict_y, labels=np.array([0, 1]), eps=1e-15))"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"[0]\ttrain-logloss:0.630701\tvalid-logloss:0.633702\n",
"Multiple eval metrics have been passed: 'valid-logloss' will be used for early stopping.\n",
"\n",
"Will train until valid-logloss hasn't improved in 20 rounds.\n",
"[10]\ttrain-logloss:0.450203\tvalid-logloss:0.461041\n",
"[20]\ttrain-logloss:0.423017\tvalid-logloss:0.435876\n",
"[30]\ttrain-logloss:0.409264\tvalid-logloss:0.424347\n",
"[40]\ttrain-logloss:0.399364\tvalid-logloss:0.417086\n",
"[50]\ttrain-logloss:0.392632\tvalid-logloss:0.412569\n",
"[60]\ttrain-logloss:0.385623\tvalid-logloss:0.408459\n",
"[70]\ttrain-logloss:0.380434\tvalid-logloss:0.40503\n",
"[80]\ttrain-logloss:0.376415\tvalid-logloss:0.402892\n",
"[90]\ttrain-logloss:0.372699\tvalid-logloss:0.400642\n",
"[100]\ttrain-logloss:0.368354\tvalid-logloss:0.398424\n",
"[110]\ttrain-logloss:0.365952\tvalid-logloss:0.397567\n",
"[120]\ttrain-logloss:0.363346\tvalid-logloss:0.396579\n",
"[130]\ttrain-logloss:0.359589\tvalid-logloss:0.395004\n",
"[140]\ttrain-logloss:0.356627\tvalid-logloss:0.393626\n",
"[150]\ttrain-logloss:0.353823\tvalid-logloss:0.392205\n",
"[160]\ttrain-logloss:0.351752\tvalid-logloss:0.391396\n",
"[170]\ttrain-logloss:0.348841\tvalid-logloss:0.39009\n",
"[180]\ttrain-logloss:0.346663\tvalid-logloss:0.388971\n",
"[190]\ttrain-logloss:0.344432\tvalid-logloss:0.388092\n",
"[200]\ttrain-logloss:0.34291\tvalid-logloss:0.387582\n",
"[210]\ttrain-logloss:0.340718\tvalid-logloss:0.387115\n",
"[220]\ttrain-logloss:0.338635\tvalid-logloss:0.386149\n",
"[230]\ttrain-logloss:0.335902\tvalid-logloss:0.385041\n",
"[240]\ttrain-logloss:0.334184\tvalid-logloss:0.384558\n",
"[250]\ttrain-logloss:0.332432\tvalid-logloss:0.38429\n",
"[260]\ttrain-logloss:0.33064\tvalid-logloss:0.383657\n",
"[270]\ttrain-logloss:0.329221\tvalid-logloss:0.383348\n",
"[280]\ttrain-logloss:0.327746\tvalid-logloss:0.382928\n",
"[290]\ttrain-logloss:0.326367\tvalid-logloss:0.382502\n",
"[300]\ttrain-logloss:0.325176\tvalid-logloss:0.382358\n",
"[310]\ttrain-logloss:0.323829\tvalid-logloss:0.38203\n",
"[320]\ttrain-logloss:0.321791\tvalid-logloss:0.381645\n",
"[330]\ttrain-logloss:0.320545\tvalid-logloss:0.381565\n",
"[340]\ttrain-logloss:0.319565\tvalid-logloss:0.381679\n",
"Stopping. Best iteration:\n",
"[324]\ttrain-logloss:0.321273\tvalid-logloss:0.381502\n",
"\n",
"The test log loss is: 0.37883156924394973\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"outputId": "cb181456-ba22-4a19-eafb-c8fd81157deb",
"id": "6Qc2v3F0C5zz",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 312
}
},
"source": [
"predicted_y =np.array(predict_y>0.5,dtype=int)\n",
"print(\"Total number of data points :\", len(predicted_y))\n",
"plot_confusion_matrix(y_test, predicted_y)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Total number of data points : 33000\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
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YACwEXo7KbwWONLOvCUmlW5N2MCIiIiIiktYsvHQm9ZiRmg2TcpeVVXQd2X40boxty/ol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\n4UHPMCk5AAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "gXPsqXz6cTIf",
"colab_type": "text"
},
"source": [
"### For TFIDF W2V data\n"
]
},
{
"cell_type": "code",
"metadata": {
"id": "8tTJOEStfFVr",
"colab_type": "code",
"colab": {}
},
"source": [
"# https://www.geeksforgeeks.org/understanding-python-pickling-example/\n",
"import pickle\n",
"\n",
"\n",
"# Its important to use binary mode \n",
"pickle_file = open('drive/My Drive/Quora_assignment/Ass_Tfidf_W2V.pkl', 'wb') \n",
"\n",
"# source, destination \n",
"pickle.dump(X_train, pickle_file)\n",
"pickle.dump(y_train, pickle_file)\n",
"pickle.dump(X_cv, pickle_file)\n",
"pickle.dump(y_cv, pickle_file)\n",
"pickle.dump(X_test, pickle_file)\n",
"pickle.dump(y_test, pickle_file)\n",
"pickle_file.close() "
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "LvKIyBaFfclP",
"colab_type": "code",
"colab": {}
},
"source": [
"import pickle\n",
"pickle_file = open('drive/My Drive/Quora_assignment/Ass_Tfidf_W2V.pkl', 'rb') \n",
"X_train = pickle.load(pickle_file) \n",
"y_train = pickle.load(pickle_file)\n",
"X_cv = pickle.load(pickle_file) \n",
"y_cv = pickle.load(pickle_file)\n",
"X_test = pickle.load(pickle_file) \n",
"y_test = pickle.load(pickle_file)\n",
"pickle_file.close()"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "k-zQHbXNe5L5",
"colab_type": "code",
"outputId": "b15dde82-712e-4cef-a095-15b342b76794",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"source": [
"print(X_train.shape,X_cv.shape,X_test.shape)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"(44890, 794) (22110, 794) (33000, 794)\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "ZhTJgclztAS6",
"colab_type": "text"
},
"source": [
" 4.6 XGBoost "
]
},
{
"cell_type": "code",
"metadata": {
"id": "9U367-xetAS7",
"colab_type": "code",
"outputId": "167e8588-2ac4-4c6d-ac22-f56a2fce5657",
"colab": {}
},
"source": [
"import xgboost as xgb\n",
"params = {}\n",
"params['objective'] = 'binary:logistic'\n",
"params['eval_metric'] = 'logloss'\n",
"params['eta'] = 0.02\n",
"params['max_depth'] = 4\n",
"\n",
"d_train = xgb.DMatrix(X_train, label=y_train)\n",
"d_test = xgb.DMatrix(X_test, label=y_test)\n",
"\n",
"watchlist = [(d_train, 'train'), (d_test, 'valid')]\n",
"\n",
"bst = xgb.train(params, d_train, 400, watchlist, early_stopping_rounds=20, verbose_eval=10)\n",
"\n",
"xgdmat = xgb.DMatrix(X_train,y_train)\n",
"predict_y = bst.predict(d_test)\n",
"print(\"The test log loss is:\",log_loss(y_test, predict_y, labels=clf.classes_, eps=1e-15))"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"[0]\ttrain-logloss:0.684819\tvalid-logloss:0.684845\n",
"Multiple eval metrics have been passed: 'valid-logloss' will be used for early stopping.\n",
"\n",
"Will train until valid-logloss hasn't improved in 20 rounds.\n",
"[10]\ttrain-logloss:0.61583\tvalid-logloss:0.616104\n",
"[20]\ttrain-logloss:0.564616\tvalid-logloss:0.565273\n",
"[30]\ttrain-logloss:0.525758\tvalid-logloss:0.52679\n",
"[40]\ttrain-logloss:0.496661\tvalid-logloss:0.498021\n",
"[50]\ttrain-logloss:0.473563\tvalid-logloss:0.475182\n",
"[60]\ttrain-logloss:0.455315\tvalid-logloss:0.457186\n",
"[70]\ttrain-logloss:0.440442\tvalid-logloss:0.442482\n",
"[80]\ttrain-logloss:0.428424\tvalid-logloss:0.430795\n",
"[90]\ttrain-logloss:0.418803\tvalid-logloss:0.421447\n",
"[100]\ttrain-logloss:0.41069\tvalid-logloss:0.413583\n",
"[110]\ttrain-logloss:0.403831\tvalid-logloss:0.40693\n",
"[120]\ttrain-logloss:0.398076\tvalid-logloss:0.401402\n",
"[130]\ttrain-logloss:0.393305\tvalid-logloss:0.396851\n",
"[140]\ttrain-logloss:0.38913\tvalid-logloss:0.392952\n",
"[150]\ttrain-logloss:0.385469\tvalid-logloss:0.389521\n",
"[160]\ttrain-logloss:0.382327\tvalid-logloss:0.386667\n",
"[170]\ttrain-logloss:0.379541\tvalid-logloss:0.384148\n",
"[180]\ttrain-logloss:0.377014\tvalid-logloss:0.381932\n",
"[190]\ttrain-logloss:0.374687\tvalid-logloss:0.379883\n",
"[200]\ttrain-logloss:0.372585\tvalid-logloss:0.378068\n",
"[210]\ttrain-logloss:0.370615\tvalid-logloss:0.376367\n",
"[220]\ttrain-logloss:0.368559\tvalid-logloss:0.374595\n",
"[230]\ttrain-logloss:0.366545\tvalid-logloss:0.372847\n",
"[240]\ttrain-logloss:0.364708\tvalid-logloss:0.371311\n",
"[250]\ttrain-logloss:0.363021\tvalid-logloss:0.369886\n",
"[260]\ttrain-logloss:0.36144\tvalid-logloss:0.368673\n",
"[270]\ttrain-logloss:0.359899\tvalid-logloss:0.367421\n",
"[280]\ttrain-logloss:0.358465\tvalid-logloss:0.366395\n",
"[290]\ttrain-logloss:0.357128\tvalid-logloss:0.365361\n",
"[300]\ttrain-logloss:0.355716\tvalid-logloss:0.364315\n",
"[310]\ttrain-logloss:0.354425\tvalid-logloss:0.363403\n",
"[320]\ttrain-logloss:0.353276\tvalid-logloss:0.362595\n",
"[330]\ttrain-logloss:0.352084\tvalid-logloss:0.361823\n",
"[340]\ttrain-logloss:0.351051\tvalid-logloss:0.361167\n",
"[350]\ttrain-logloss:0.349867\tvalid-logloss:0.36043\n",
"[360]\ttrain-logloss:0.348829\tvalid-logloss:0.359773\n",
"[370]\ttrain-logloss:0.347689\tvalid-logloss:0.359019\n",
"[380]\ttrain-logloss:0.346607\tvalid-logloss:0.358311\n",
"[390]\ttrain-logloss:0.345568\tvalid-logloss:0.357674\n",
"The test log loss is: 0.357054433715\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "6U5b17AatAS_",
"colab_type": "code",
"outputId": "ca83b680-023b-4bc5-f499-8d8d85c2ff5e",
"colab": {}
},
"source": [
"predicted_y =np.array(predict_y>0.5,dtype=int)\n",
"print(\"Total number of data points :\", len(predicted_y))\n",
"plot_confusion_matrix(y_test, predicted_y)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Total number of data points : 30000\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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UABIRERERERERyXBKAImIiIiIiIiIZDglgEREREREREREMpwSQCIiIiIiIiIiGU4JIBER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\nLUzf5fCqDSwAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"outputId": "34e94244-5cea-42e0-a737-47c848aad65c",
"id": "qmlNqjixcYNW",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 323
}
},
"source": [
"# https://gist.github.com/wrwr/3f6b66bf4ee01bf48be965f60d14454d\n",
"import time\n",
"\n",
"import xgboost as xgb\n",
"from sklearn.model_selection import RandomizedSearchCV\n",
"\n",
"x_train, y_train, x_valid, y_valid, x_test, y_test = X_train , y_train , X_cv , y_cv , X_test , y_test # load datasets\n",
"\n",
"clf = xgb.XGBClassifier()\n",
"\n",
"param_grid = {\n",
" 'silent': [False],\n",
" 'max_depth': [1,2,3,4],\n",
" 'learning_rate': [0.00001,0.0001,0.001, 0.01, 0.1, 0.2, 0,3],\n",
" 'subsample': [0.5, 0.6, 0.7, 0.8, 0.9, 1.0],\n",
" 'colsample_bytree': [0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0],\n",
" 'colsample_bylevel': [0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0],\n",
" 'min_child_weight': [0.5, 1.0, 3.0, 5.0, 7.0, 10.0],\n",
" 'gamma': [0, 0.25, 0.5, 1.0],\n",
" 'reg_lambda': [0.1, 1.0, 5.0, 10.0, 50.0, 100.0],\n",
" 'n_estimators': [100]}\n",
"\n",
"fit_params = {'eval_metric': 'logloss',\n",
" 'early_stopping_rounds': 10,\n",
" 'eval_set': [(x_valid, y_valid)]}\n",
"\n",
"rs_clf = RandomizedSearchCV(clf, param_grid, n_iter=20,n_jobs=-1, verbose=2, cv=2,scoring='neg_log_loss', refit=False, random_state=42)\n",
"print(\"Randomized search..\")\n",
"search_time_start = time.time()\n",
"rs_clf.fit(x_train, y_train,**fit_params)\n",
"print(\"Randomized search time:\", time.time() - search_time_start)\n",
"\n",
"best_score = rs_clf.best_score_\n",
"best_params = rs_clf.best_params_\n",
"print(\"Best score: {}\".format(best_score))\n",
"print(\"Best params: \")\n",
"for param_name in sorted(best_params.keys()):\n",
" print('%s: %r' % (param_name, best_params[param_name]))"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Randomized search..\n",
"Fitting 2 folds for each of 20 candidates, totalling 40 fits\n"
],
"name": "stdout"
},
{
"output_type": "stream",
"text": [
"[Parallel(n_jobs=-1)]: Using backend LokyBackend with 2 concurrent workers.\n",
"[Parallel(n_jobs=-1)]: Done 37 tasks | elapsed: 20.7min\n"
],
"name": "stderr"
},
{
"output_type": "stream",
"text": [
"Randomized search time: 1294.6718440055847\n",
"Best score: -0.37062025775996893\n",
"Best params: \n",
"colsample_bylevel: 0.9\n",
"colsample_bytree: 0.5\n",
"gamma: 0\n",
"learning_rate: 0.2\n",
"max_depth: 2\n",
"min_child_weight: 0.5\n",
"n_estimators: 100\n",
"reg_lambda: 50.0\n",
"silent: False\n",
"subsample: 0.7\n"
],
"name": "stdout"
},
{
"output_type": "stream",
"text": [
"[Parallel(n_jobs=-1)]: Done 40 out of 40 | elapsed: 21.6min finished\n"
],
"name": "stderr"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab_type": "code",
"outputId": "f0c12fd8-af46-4cd9-cff8-359538042dca",
"id": "o3bg6wZZcYNe",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 782
}
},
"source": [
"import xgboost as xgb\n",
"from sklearn.metrics.classification import accuracy_score, log_loss\n",
"\n",
"params = {'objective' : 'binary:logistic', \n",
" 'eval_metric' : 'logloss' , \n",
" 'colsample_bylevel': 0.9 ,\n",
" 'colsample_bytree': 0.5,\n",
" 'gamma': 0 , \n",
" 'learning_rate': 0.2,\n",
" 'max_depth': 2,\n",
" 'min_child_weight': 0.5,\n",
" 'n_estimators': 100,\n",
" 'reg_lambda': 50,\n",
" 'silent': False,\n",
" 'subsample': 0.7}\n",
"\n",
"\n",
"d_train = xgb.DMatrix(X_train, label=y_train)\n",
"d_test = xgb.DMatrix(X_cv , label=y_cv)\n",
"\n",
"watchlist = [(d_train, 'train'), (d_test, 'valid')]\n",
"\n",
"bst = xgb.train(params, d_train, 400, watchlist, early_stopping_rounds=20, verbose_eval=10)\n",
"\n",
"xgdmat = xgb.DMatrix(X_train,y_train)\n",
"d_test = xgb.DMatrix(X_test, label=y_test)\n",
"predict_y = bst.predict(d_test)\n",
"print(\"The test log loss is:\",log_loss(y_test, predict_y, labels=np.array([0, 1]), eps=1e-15))"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"[0]\ttrain-logloss:0.640877\tvalid-logloss:0.641782\n",
"Multiple eval metrics have been passed: 'valid-logloss' will be used for early stopping.\n",
"\n",
"Will train until valid-logloss hasn't improved in 20 rounds.\n",
"[10]\ttrain-logloss:0.461213\tvalid-logloss:0.462357\n",
"[20]\ttrain-logloss:0.418264\tvalid-logloss:0.421439\n",
"[30]\ttrain-logloss:0.402297\tvalid-logloss:0.406791\n",
"[40]\ttrain-logloss:0.390498\tvalid-logloss:0.396445\n",
"[50]\ttrain-logloss:0.380775\tvalid-logloss:0.387824\n",
"[60]\ttrain-logloss:0.3734\tvalid-logloss:0.38167\n",
"[70]\ttrain-logloss:0.368185\tvalid-logloss:0.377755\n",
"[80]\ttrain-logloss:0.36413\tvalid-logloss:0.375146\n",
"[90]\ttrain-logloss:0.360052\tvalid-logloss:0.372069\n",
"[100]\ttrain-logloss:0.356098\tvalid-logloss:0.368832\n",
"[110]\ttrain-logloss:0.353312\tvalid-logloss:0.367147\n",
"[120]\ttrain-logloss:0.350631\tvalid-logloss:0.365369\n",
"[130]\ttrain-logloss:0.348349\tvalid-logloss:0.363831\n",
"[140]\ttrain-logloss:0.346149\tvalid-logloss:0.362506\n",
"[150]\ttrain-logloss:0.34407\tvalid-logloss:0.361372\n",
"[160]\ttrain-logloss:0.342202\tvalid-logloss:0.360198\n",
"[170]\ttrain-logloss:0.34043\tvalid-logloss:0.359128\n",
"[180]\ttrain-logloss:0.33888\tvalid-logloss:0.358736\n",
"[190]\ttrain-logloss:0.336996\tvalid-logloss:0.357674\n",
"[200]\ttrain-logloss:0.335251\tvalid-logloss:0.356733\n",
"[210]\ttrain-logloss:0.333718\tvalid-logloss:0.355938\n",
"[220]\ttrain-logloss:0.33239\tvalid-logloss:0.355529\n",
"[230]\ttrain-logloss:0.330993\tvalid-logloss:0.354991\n",
"[240]\ttrain-logloss:0.329721\tvalid-logloss:0.354817\n",
"[250]\ttrain-logloss:0.328159\tvalid-logloss:0.354091\n",
"[260]\ttrain-logloss:0.326777\tvalid-logloss:0.353394\n",
"[270]\ttrain-logloss:0.325536\tvalid-logloss:0.352998\n",
"[280]\ttrain-logloss:0.324304\tvalid-logloss:0.352504\n",
"[290]\ttrain-logloss:0.323037\tvalid-logloss:0.352028\n",
"[300]\ttrain-logloss:0.321881\tvalid-logloss:0.351794\n",
"[310]\ttrain-logloss:0.320591\tvalid-logloss:0.351145\n",
"[320]\ttrain-logloss:0.319404\tvalid-logloss:0.350745\n",
"[330]\ttrain-logloss:0.318148\tvalid-logloss:0.350618\n",
"[340]\ttrain-logloss:0.317022\tvalid-logloss:0.350512\n",
"[350]\ttrain-logloss:0.316006\tvalid-logloss:0.350387\n",
"[360]\ttrain-logloss:0.31491\tvalid-logloss:0.35006\n",
"[370]\ttrain-logloss:0.313916\tvalid-logloss:0.349903\n",
"[380]\ttrain-logloss:0.312867\tvalid-logloss:0.349528\n",
"[390]\ttrain-logloss:0.311883\tvalid-logloss:0.349432\n",
"[399]\ttrain-logloss:0.311026\tvalid-logloss:0.349117\n",
"The test log loss is: 0.34759434860614374\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "ioIYCyC4vF1b",
"colab_type": "code",
"outputId": "c7812ff4-146c-4af6-f802-45aecd8226b2",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 312
}
},
"source": [
"predicted_y =np.array(predict_y>0.5,dtype=int)\n",
"print(\"Total number of data points :\", len(predicted_y))\n",
"plot_confusion_matrix(y_test, predicted_y)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"Total number of data points : 33000\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
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P4O4rzOxuYEpUb6C7Z00sfRnhTWPlgXejj4iIiIiIyE6z8HKZ5GNGcjZMily6Br1IjPr1\nsd1Zf2fOLe67ty9JLMUJyaI4IbEUJySL4oRkUZyQWHtynNAQMBERERERERGRFKcEkIiIiIiIiIhI\nilMCSEREREREREQkxSkBJCIiIiIiIiKS4pQAEhERERERERFJcUoAiYiIiIiIiIikOCWARERERERE\nRERSnBJAIiIiIiIiIiIpTgkgEREREREREZEUpwSQiIiIiIiIiEiKUwJIRERERERERCTFKQEkIiIi\nIiIiIpLilAASEREREREREUlxSgCJiIiIiIiIiKQ4JYBERERERERERFKcEkAiIiIiIiIiIilOCSAR\nERERERERkRSnBJCIiIiISIKYWU8zm21mc8zs5lyWP2Jm30afH81sVcyyzJhlo4u25SIikmpKF3cD\nRERERERSkZmlAU8AxwELgSlmNtrdZ2bVcfe/xdS/Emgfs4kN7n5QUbVXRERSm3oAiYiIiIgkRgdg\njrvPc/dNwDCgV5z6fYHXi6RlIiKyx1ECSERERERkF5hZfzObGvPpn6NKA2BBzO+FUVlu22oCNAMm\nxBSXi7Y72cx6F2rjRURkj6MhYCIiIiIiu8DdhwBDCmlzfYCR7p4ZU9bE3dPNbB9ggpl97+5zC2l/\nIiKyh1EPIBERERGRxEgHGsX8bhiV5aYPOYZ/uXt69Hce8BHbzw8kIiKyU5QAEhERERFJjClACzNr\nZmZlCUmeHd7mZWatgGrA5zFl1cxsr+h7TaAzMDPnuiIiIgWlBJCIiIiISAK4+xbgCmAc8AMw3N1n\nmNlAMzslpmofYJi7e0zZ/sBUM/sO+BC4L/btYSIiUvKZWU8zm21mc8zs5lyWP2Jm30afH81sVcyy\nzJhlOzxcyHV/28eZ5GFGcjZMilx6Xh2lZY9Uvz62O+vvzLnFfff2JYmlOCFZFCckluKEZFGckCyK\nExIrWeKEmaUBPwLHEV4SMAXom1ey38yuBNq7+1+j3+vcveLOtF2TQIvIHqVdu+JugYiIJDPFCRER\niacQ40QHYE40zxtmNgzoRd7DffsCd+zODjUETERERERERESkkJlZfzObGvPpH7O4AbAg5vfCqCy3\n7TQBmgETYorLRducbGa9C9Ie9QASERERERERESlk7j4EGFIIm+oDjHT3zJiyJu6ebmb7ABPM7Ht3\nnxtvI+oBJCIiIiIiIiJStNKBRjG/G0ZluekDvB5b4O7p0d95wEdA+/x2qASQiIiIiIiIiEjRmgK0\nMLNmZlaWkOTZ4W1eZtYKqAZ8HlNWzcz2ir7XBDqT99xB22gImIiIiIiIiIhIEXL3LWZ2BTAOSAOe\nc/cZZjYQmOruWcmgPsAw3/4V7vsDT5vZVkLHnvvyentYLCWARER2kZk9B5wELHX3A6KyO4GLgIyo\n2q3uPjZadgtwAZAJXOXu46LynsBjhBP/UHe/LypvBgwDagBfAee4+6aiOToREREREUmk6D5hbI6y\nATl+35nLep8BbXd2fxoCJiKy614AeuZS/oi7HxR9spI/rQnZ+zbROk+aWZqZpQFPAMcDrYG+UV2A\n+6NtNQdWEpJHIiIiIiIiO00JIBGRXeTuHwMrCli9F6Hr5kZ3/xmYA3SIPnPcfV7Uu2cY0MvMDOgK\njIzWfxEo0OsdRUREREREclICSEQkD2bW38ymxnz6F3DVK8xsmpk9Z2bVorIGwIKYOgujsrzKawCr\n3H1LjnIREREREZGdpgSQiEge3H2Iux8a8xlSgNUGA/sCBwGLgH8mtJEiIiIiIiIFoEmgRUQKkbsv\nyfpuZs8A/41+pgONYqo2jMrIo3w5UNXMSke9gGLri4iIiIiI7BT1ABIRKURmVi/m56nA9Oj7aKCP\nme0Vvd2rBfAlMAVoYWbNzKwsYaLo0dFrHj8E/hKtfx4wqiiOQUREREREUo96AImI7CIzex04Bqhp\nZguBO4BjzOwgwIFfgIsB3H2GmQ0HZgJbgMvdPTPazhXAOMJr4J9z9xnRLm4ChpnZPcA3wLNFdGgi\nIiIiIpJi1ANoFz37LCxZAt9/n1124IHw+efwzTcwZQocdlgoP+UU+O677PLOnbPrf/YZTJ8elp9+\n+vb7uOcemD0bZs6EK6/MvR3nngs//hg+556bXX7wwTBtGvz0Ezz2WHZ5tWrw/vuh/vvvQ9Wqu/9v\nIdmWLl3E3/52Dv36nUC/ficycuSL2y0fPvw5jj12P1av3v7FUbNmTaNbt9ZMnPgeAN98M5kLL+y1\n7dO9e1s+/fR/O+xv06ZN3HXXNZx11nFceulpLF68cNuyV199mrPOOo5zz+3Bl19+sq38yy8/5txz\ne3DWWcfx2msFmdJG8uLufd29nruXcfeG7v6su5/j7m3dvZ27n+Lui2LqD3L3fd19P3d/N6Z8rLu3\njJYNiimf5+4d3L25u5/m7huL+hilaPXoAbNmhXP3TTftuLxRI5gwAb7+OsSN448P5U2awO+/hzjz\nzTcweHD2OnnFA0lu+Z2rhw9/nn79TuCCC07m2mvPY/Hi7BGiN954ASeddCi33HJxrtv+17/u4fjj\n2yes7SKSOLsaJ0qXhhdeCPFg5ky4+eZQ3rBhqD9jRrgnueqqIjsU2U35xYnvvptC//6nbnePkSWv\nOPHVV5/Tv/+pXHhhL668si/p6b8m9Bik6CkBtIteeAF69ty+7IEH4K67oH17GDAg/Ab44IOQ7Gnf\nHv76Vxg6NJT//ntI2hxwQNjWo49ClSphWb9+4QTeqhW0bg3Dhu3YhmrV4I47oGNH6NAhfM9K6Awe\nDBddBC1ahE9WW2++ObSnZcvwN+vkL4UjLS2NSy+9mRdeGMuTT77BqFGv8csvc4CQHJoyZRJ16tTf\nbp3MzEyGDHmIww7rvK2sffvDGTp0FEOHjuLhh1+kXLnyHHpoZ3IaO3YElSpV5tVXx3Paaf14+umH\nAPjllzlMmDCG558fw/33D+Wxx+4iMzOTzMxMHntsIPfdN5QXXhjDBx/8d1v7RKR4lSoFTzwRLtZb\nt4a+fWH//bev8/e/w/DhIanTpw88+WT2srlzQ5xp3x4uvTS7PK94IMmrIOfqFi3256mn3uTZZ/9D\nly49ePrpB7ctO+OMC7n11gdy3fbs2d+zbt3qhLZfRBJjd+LEaafBXntBu3ZwyCFw8cXh4cGWLXDd\nddCmDRx+OFx++Y7blORTkDhRp049brrpH3TrdtIO6+cVJx599E5uu+0hhg4dRbduJ/Hyy4N3qCMl\nmxJAu+iTT2DF9p04cIfKlcP3KlXgt9/C9/Xrs+tUqBDqQcjcz4n+O120CJYuhVq1wu9LL4WBA7Pr\nZmTs2IYePWD8eFi5ElatCt979oS6dUM7vvgi1HvpJejdO3zv1QtejDqlvPhidrkUjho1atOyZRsA\n9t67Io0b78OyZWFO4Cee+AcXX3wDYNut8/bbL3PUUT2oWrVGrtucOHEcHTocRbly5XdYNmnSBHr0\nOBWALl168PXXn+PuTJr0AV27nkjZsmWpV68R9es3YdasacyaNY369ZtQv34jypQpS9euJzJp0geF\n+C8gIruqQ4cQE37+GTZvDon/Xr22r5NXnMlLvHggyasg5+r27Q/fFhdatz6IjIzF25YdcsgR7L13\nhR22m5mZyVNPPRDFIhEpaXYnTriH+5C0NChfHjZtgjVrYPHi0HMUYN06+OEHaNCg6I5Jdk1B4kTd\nug3Zd99WlCq14y1/XnHCDNavXweEvzVq1E7MAUixKfIEkJmdX9T7LCrXXAMPPgjz58NDD8Ett2Qv\n6907nFDHjAm9gHI67DAoWzY8wQXYd18444wwZGzsWGjefMd1GjSABQuyfy9cGMoaNAjfc5YD1KkT\nTvQQ/taps3vHLHlbvHghc+b8wP77H8inn/6PmjVr07x5q+3qZGQs4ZNP/kevXn3z3M6HH47JNXMP\nsGzZEmrXDnMOp6WVpmLFSqxZszIqr7utXq1adVi2bEme5SLJJJXjRDx5ndNj3XknnH12qDd27PbD\ng5s1C13+P/oIjjwye5t5xQNJXjt7rh47diQdOx6d73bffvsVOnXqpgt6KfEUJ4KdiRMjR4aH0osW\nZd+rrFy5/bpNmoRepFkPDSR5Jeqa/vrrB3HLLf057bSjGT9+FGee2X+3tynJpTh6AN2V1wIz629m\nU81sKpS8uUkuvRT+9jdo3Dj8fTZmutZ33gndKXv3hrvv3n69unXh5Zfh/POze/zstRf88UdIDD3z\nDDz3XGLanLU/KVwbNqxnwICruPzyW0lLS+PVV5/m/POv3qHeE08M4uKLr881Mw+wfPlS5s37kcMO\nOzLRTRZJJikbJ3ZX375hCHKjRnDCCSF2mIUL+saNQ5f/a6+F116DSpWKu7VSFMaPH8Xs2dM544wL\n49ZbtmwJEye+x5//fHYRtUwkoRQn8pBXnOjQATIzoX798MDguuvC3ywVKsCbb4YH2mvXFlvzpZiN\nHPkC//jHEEaM+JiePf/Mk0/+o7ibJIUsIW8BM7NpeS0C8uxz4u5DiM7UZpS41MR558HV0T3+iBHZ\nc/3E+uQT2GcfqFEDli8PF+hjxsBtt22fbV+4EN56K3x/+214/vkdt5WeDscck/27YcPw5Dc9PXyP\nLU+P5oZcsiQknBYvDn+XLt2dI5bcbNmymQEDruJPfzqZo4/uzrx5s1m8eCEXXhj66GZkLKZ//z8z\nePAIZs+ezsCB1wKwevVKvvhiImlppTnyyD8B8OGH73LkkcdRunSZXPdVs2Ydli5dRK1adcnM3MK6\ndWupXLlaVJ49HCAjYwk1a4b/9PIqFylKe2qciCc9PVywZ4k9d2e54ILsOXwmT4Zy5aBmzTBMOGtY\n8tdfh96kLVvGjweSvOKdw2N99dVnvPLKUzz66CuULVs27jZ/+ukH0tPnc9ZZ3QHYuHEDZ511HK++\nOr5wGy9SSBQndrQ7ceLMM+G998KcPxkZMGkSHHpoGE5WunRI/rz6arjvkORX0DixM1atWsHcubNo\n3fpAAI499gRuuin+wwUpeRLVA6gOcC5wci6f5QnaZ7H77Tfo0iV879o1zPEDYThXlvbtQ++e5cuh\nTJlwkn3ppXDSjfXOO3DsseF7ly7hrV05jRsH3buHiZ+rVg3fx40LyZ01a8Lk0BAmmh41KnwfPTok\nqiD8zSqXwuHuPPDAbTRpsg+nnx56J++zz368/fbnDBs2gWHDJlCrVl2GDHmL6tVr8frrE7aVd+nS\ng2uuuWNb8gdgwoQxdOt2Yp7769SpK+PGhUg9ceI42rc/HDOjU6euTJgwhk2bNrFo0QLS03+hVat2\ntGrVlvT0X1i0aAGbN29iwoQxdOrUNbH/KCK52yPjRDxTpoRJmps2DfGhT59wzo41fz506xa+t2oV\nLuwzMsLFfVZHwmbNwnbmzYsfDyR5FeRc/dNPM3n44QEMGjSYatVyn0Mu1hFHHMNbb03aFnP22qu8\nkj+S7BQnctidODF/frg/Adh77zDh86xZ4fezz4apKh55pMgORXZTIq7pK1WqzLp1a1mw4GcApk6d\nROPG++azlpQ0CekBBPwXqOju3+ZcYGYfJWifReq110Lvm5o1wxjbO+4Ib1l57LGQRf/jD+gfDZn8\nv/8LF92bN8OGDWFuHwivfT/66NAbqF+/UNavX3hl4333hSz83/4WJmS7MEq+HnIIXHJJ2NfKlWE4\n2ZQpYdnAgdljeS+7LHT/LF8e3n03fCBsd/jw8HTg1193fPW87J7p079i/PhR7LNPy209fi688FoO\nP7zLTm9r8eKFZGQs4sADO2xX/txzj7HffgfQuXM3TjzxL9x77w2cddZxVK5chdtvD5G7WbMWHHvs\n8Zx//gmkpaVx9dUDSEtLA+CqqwZw440XsnVrJscf/380a9ZiN49aZJekfJzYWZmZcMUVIZGflhaG\n/s6cGd4uOXUq/Oc/ocv+M8+E2OCeHTuOPjrEgM2bYevWECfyiweSvNLSSud6ro49/z/11ANs2PA7\nd94Zuh7XqVOPQYOeAuCqq85k/vx5bNjwO6eddjQ33DCIDh2OKs5DEtkVihM57E6ceOKJMKJg+vQw\nJOz55+H776Fz53CfMm1a9mTQt96qWJHsChInZs2axu23X8G6dWv4/PMPef75f/PCC2OAvOPE9dff\nwx13XIWZUalSFW688d5iPlIpbOZJOglMqnXZlF2n4QoSq379HK9R20kHHljwc8t33+3eviSxFCck\ni+KExFKckCyKE5JFcUJi7cmOjS/wAAAgAElEQVRxQq+BFxERERERERFJcUoAiYiIiIiIiIikOCWA\nRERERERERERSnBJAIiIiIiIiIiIpTgkgEREREREREZEUpwSQiIiIiIiIiEiKUwJIRERERERERCTF\nKQEkIiIiIiIiIpLilAASEREREREREUlxSgCJiIiIiIiIiKQ4JYBERERERERERFKcEkAiIiIiIiIi\nIilOCSARERERERERkRRXurgbICJSlNq1K+4WiIhIMlOcEBGReEpynFAPIBERERERERGRFKcEkIiI\niIhIgphZTzObbWZzzOzmPOqcbmYzzWyGmb0WU36emf0Ufc4rulaLiEgqyncImJlVADa4+1Yzawm0\nAt51980Jb52IiCQ9xQkRkdyZWRrwBHAcsBCYYmaj3X1mTJ0WwC1AZ3dfaWa1o/LqwB3AoYADX0Xr\nrizq49hdihMiIsmhID2APgbKmVkD4H3gHOCFRDZKRERKFMUJEZHcdQDmuPs8d98EDAN65ahzEfBE\nVmLH3ZdG5T2A8e6+Ilo2HuhZRO0ubIoTIiK5KOpeogVJAJm7/w78GXjS3U8D2hRk4yIiskdQnBCR\nPZKZ9TezqTGf/jmqNAAWxPxeGJXFagm0NLNJZjbZzHruxLolheKEiEgOMb1EjwdaA33NrHWOOrG9\nRNsA10TlWb1EOxIeNtxhZtXy22dB3gJmZnYEcBZwQVSWVqAjEhGRPYHihIjskdx9CDBkNzdTGmgB\nHAM0BD42s7a7uc1kozghIrKjbb1EAcwsq5fozJg6+fYSjdbN6iX6erwdFqQH0DWEjNPb7j7DzPYB\nPizwIYmISKpTnBARyV060Cjmd8OoLNZCYLS7b3b3n4EfCQmhgqxbUihOiIjsqMh7iebbA8jdJwIT\nAcysFLDM3a/Kbz0REdkzKE6IiORpCtDCzJoRkjd9gDNz1HkH6As8b2Y1CRf784C5wL0xXfq7E5Io\nJY7ihIjsqaKhwbHDg4dEvUcLqlB7iebbA8jMXjOzytHs/dOBmWZ2w67uUEREUovihIhI7tx9C3AF\nMA74ARge9YAZaGanRNXGAcvNbCahV8wN7r486tZ/NyGJNAUYmNXVv6RRnBCRPZW7D3H3Q2M+scmf\nIu8lWpAhYK3dfQ3QG3gXaEaYuV9ERAQUJ0RE8uTuY929pbvv6+6DorIB7j46+u7ufq27t3b3tu4+\nLGbd59y9efR5vriOoRAoToiI7GhbL1EzK0voJTo6R513CL1/yNFLdBzQ3cyqRT1Fu0dlcRUkAVTG\nzMoQTtij3X0z4AU7HhGR1GVmz5nZUjObHlP2oJnNMrNpZva2mVWNWXZL9IrH2WbWI6Y819c/RsHg\ni6j8jSgwJCPFCRERiUdxQkQkh+LoJVqQBNDTwC9ABcJ4sybAmp07NBGRlPQCYbb9WOOBA9y9HaGL\n5i0A0Ssd+xBee9sTeNLM0vJ5/eP9wCPu3hxYSfabU5KN4oSIiMSjOCEikoui7iWabwLI3f/l7g3c\n/YRo578Cx+7i8YmIpAx3/xhYkaPs/SibDzCZMB4Xwisdh7n7xmj87hzCqx+3vf7R3TcBw4BeZmZA\nV2BktP6LhCenSUdxQkRE4lGcEBFJDvm+BQzAzE4kPLUuF1M8MCEtEhFJEoUwa/9fgTei7w0ICaEs\nsa9qzPkKx45ADWBVTDKpQK92LC6KEyIiEo/ihIhI8cs3AWRmTwF7E7L0Q4G/AF8muF0iIsUuSvbs\nTMJnGzO7DdgCvFqojUpCihMiIhKP4oSISHIoyBxAndz9XGClu98FHEGYeVpERHJhZv2Ak4Cz3D1r\nksu8XtWYV/lyoKqZlc5RnowUJ0REJB7FCRGRJFCQBNCG6O/vZlYf2AzUS1yTRERKLjPrCdwInOLu\nv8csGg30MbO9zKwZ0ILw9DPX1z9GiaMPCU9JAc4DRhXVcewkxQkREYlHcUJEJAkUZA6g/0avMX4Q\n+JrwysahCW2ViEgJYGavA8cANc1sIXAH4a1fewHjwzzOTHb3S6JXOg4HZhKGhl3u7pnRdrJe/5gG\nPOfuM6Jd3AQMM7N7gG+AZ4vs4HaO4oSIiMSjOCEikgQse3RCASqb7QWUc/fViWtS1r4oeMMkpaUn\n66AXKRb162O7s/455xT83PLyy7u3rz2R4oQUB8UJiaU4kdwUJ6Q4KE5IrD05TuTZA8jM/hxnGe7+\nVmKaJCIiJYHihIiIxKM4ISKSXOINATs5zjIHdMIWEdmzKU6IiEg8ihMiIkkkzwSQu59flA0REZGS\nRXFCRETiUZwQEUkueb4FzMyuNbMLcim/wMyuSWyzREQk2SlOiIhIPIoTIiLJJd5r4M8CXsql/GXg\nr4lpjoiIlCCKEyIiEo/ihIhIEomXACrt7ptzFrr7JkiumaxFRKRYKE6IiEg8ihMiIkkkXgKolJnV\nyVmYW5mIiOyRFCdERCQexQkRkSQSLwH0IDDGzLqYWaXocwzwX+ChImmdiIgkM8UJERGJR3FCRCSJ\nxHsL2EtmlgEMBA4gvKpxBjDA3d8tovaJiEiSUpwQEZF4FCdERJJLngkggOjErJOziIjkSnFCRETi\nUZwQEUke8YaAiYiIiIiIiIhIClACSEREREREREQkxSkBJCIiIiIiIiKS4vKcA8jMro23ors/XPjN\nERGRkkJxQkRE4lGcEBFJLvEmga5UZK0QEZGSSHFCRETiUZwQEUki8V4Df1dRNkREREoWxQkREYlH\ncUJEJLnEfQ08gJmVAy4A2gDlssrd/a8JbBfp6YncupQkr75a3C2QZHLDDcXdAslJcUKKW4MGxd0C\nSSbuxd0Cyam44sR77yVy61KSHH98cbdAksl33xV3C4pPvgkg4GVgFtADGAicBfyQyEaJiCRKu3bF\n3YKUpDghIilDcSIhFCdEJGWU5DhRkLeANXf324H17v4icCLQMbHNEhGREkRxQkRE4lGcEBFJAgVJ\nAG2O/q4yswOAKkDtxDVJRERKGMUJERGJR3FCRCQJFGQI2BAzqwbcDowGKgIDEtoqEREpSRQnREQk\nHsUJEZEkkG8CyN2HRl8nAvsktjkiIlLSKE6IiEg8ihMiIsmhIG8B2wv4P6BpbH13H5i4ZomISEmh\nOCEiIvEoToiIJIeCDAEbBawGvgI2JrY5IiJSAilOiIhIPIoTIiJJoCAJoIbu3jPhLRERkZJKcUJE\nROJRnBARSQIFeQvYZ2bWNuEtERGRkkpxQkRE4lGcEBFJAgXpAXQk0M/MfiZ02TTA3b1dQlsmIiIl\nheKEiIjEozghIpIECpIAOj7hrRARkZJMcUJEROJRnBARyYWZ9QQeA9KAoe5+Xx71/g8YCRzm7lPN\nrCnwAzA7qjLZ3S/Jb395DgEzs8rR17V5fEREZA+mOCEikj8z62lms81sjpndHKfe/5mZm9mh0e+m\nZrbBzL6NPk8VXasLh+KEiEjezCwNeIKQJG8N9DWz1rnUqwRcDXyRY9Fcdz8o+uSb/IH4PYBeA04i\nzNbvhK6aWRzYpyA7EBGRlKU4ISISR8zF/XHAQmCKmY1295k56sW9uC+SxiaG4oSISN46AHPcfR6A\nmQ0DegEzc9S7G7gfuGF3d5hnAsjdT4r+NtvdnYiISOpRnBARyVeRX9wnE8UJEdnTmVl/oH9M0RB3\nHxJ9bwAsiFm2EOiYY/2DgUbuPsbMcsaIZmb2DbAG+Lu7f5Jfe/KdAyjaYU6rgV/dfUt+64uISGpT\nnBARyVORX9wnI8UJEdlTRcmeIflWzIWZlQIeBvrlsngR0Njdl5vZIcA7ZtbG3dfE22ZBXgP/JDCZ\n0Ohnou8jgNlm1n0n2i8iknLM7Gozm25mM8zsmqisupmNN7Ofor/VonIzs39F80BMi70gNrPzovo/\nmdl5xXU8u0hxQkT2SGbW38ymxnz657/WdutnXdxfl8virIv79sC1wGsxc+qUNIoTIiI7Sgcaxfxu\nGJVlqQQcAHxkZr8AhwOjzexQd9/o7ssB3P0rYC7QMr8dFiQB9BvQ3t0PdfdDgIOAeYSxzA8UYH0R\nkZRkZgcAFxG6+B8InGRmzYGbgQ/cvQXwQfQbwgRvLaJPf2BwtJ3qwB2Ep8IdgDuykkYlhOKEiOyR\n3H1IdO7L+uR8ylvkF/dJSnFCRGRHU4AWZtbMzMoCfYDRWQvdfbW713T3pu7elJA8PyV6C1itaJ45\nzGwfwv3FvPx2WJAEUEt3nxHTiJlAq6yxzCIie7D9gS/c/feoC/tE4M+E+R1ejOq8CPSOvvcCXvJg\nMlDVzOoBPYDx7r7C3VcC44GeRXkgu0lxQkQkd0V+cZ+kFCdERHKI7h+uAMYRXuk+3N1nmNlAMzsl\nn9WPBqaZ2beE18Nf4u4r8ttnvnMAATPMbDAwLPp9BjDTzPYCNhdgfRGREimfSdsApgODzKwGsAE4\nAZgK1HH3RVGdxUCd6Htuc0E0iFNeUihOiIjkwt23mFnWxX0a8FzWxT0w1d1Hx1n9aGCgmW0GtlLA\ni/skpTghIpILdx8LjM1RNiCPusfEfH8TeHNn91eQBFA/4DLgmuj3JOB6wsn62J3doYhISZHfpG3u\n/oOZ3Q+8D6wHvgUyc9RxM/OENrT49UNxQkQkV0V9cZ+k+qE4ISJS7PJNALn7BuCf0SendYXeIhGR\nEsTdnwWeBTCzewm9d5aYWT13XxQN8VoaVc9rLoh04Jgc5R8ltuWFR3FCRETiUZwQEUkOeSaAzGy4\nu59uZt8DOzy9dvd2CW2ZiEgJYGa13X2pmTUmzP9zONAMOA+4L/o7Kqo+GrjCzIYRJnxeHSWJxgH3\nxkz83B24pSiPY1coToiISDyKEyIiySVeD6Cro78nFUVDRERKqDejOYA2A5e7+yozuw8YbmYXAL8C\np0d1xxLmCZoD/A6cD+DuK8zsbsJkoQADS8g8D4oTIiISj+KEiEgSyTMBFD2VTgNecHeNzRURyYW7\nH5VL2XKgWy7lDlyex3aeA54r9AYmkOKEiIjEozghIpJc4r4G3t0zga1mVqWI2iMiIiWI4oSIiMSj\nOCEikjwK8hawdcD3Zjae8JYbANz9qoS1SkREShLFCRERiUdxQkQkCRQkAfRW9BEREcmN4oSIiMSj\nOCEikgQKkgB6A2gefZ/j7n8ksD0iIlLyKE6IiEg8ihMiIkkgzzmAzKy0mT0ALAReBF4CFpjZA2ZW\npqgaKCIiyUlxQkRE4lGcEBFJLvEmgX4QqA40c/dD3P1gYF+gKvBQUTRORESSmuKEiIjEozghIpJE\n4iWATgIucve1WQXuvga4FDgh0Q0TEZGkpzghIiLxKE6IiCSReAkgd3fPpTAT2KFcRET2OIoTIiIS\nj+KEiEgSiZcAmmlm5+YsNLOzgVmJa5KIiJQQihMiIhKP4oSISBKJ9xawy4G3zOyvwFdR2aFAeeDU\nRDdMRESSnuKEiIjEozghIpJE8kwAuXs60NHMugJtouKx7v5BkbRMRESSmuKEiIjEozghIpJc4vUA\nAsDdJwATiqAtIiJSAilOiIhIPIoTIiLJId8EkIhIKmnXrrhbICIiyUxxQkRE4inJcSLeJNAiIiIi\nIiIiIpIClAASEREREREREUlxSgCJiIiIiIiIiKQ4JYBERERERERERFKcEkAiIiIiIiIiIilOCSAR\nERERERERkRSnBJCIiIiIiIiISIpTAkhEREREREREJMUpASQiIiIiIiIikuKUABIRERERERERSXFK\nAImIiIiIiIiIpDglgEREREREREREUlzp4m5AKti0aSNXX30WmzZtIjMzky5denD++Vdxzz3X8eOP\n00lLK0OrVm257rqBlC5dhvHjRzNs2DO4w957V+Caa+6kefNWAKxbt4YHH/w7P//8I2bGjTfeS5s2\n7bfbn7vz738P4osvJlKuXDluuuk+WrZsA8B7773NK68MBuDssy+lZ89TAZg9ezr3338LGzf+QceO\nXbjyytswsyL8V9pzHHwwtGsHZjBtGnz1FZQrByefDFWqwOrVMHo0bNwY6nftCvvsA1u2wNixsHRp\nKP/LX6BePUhPh7feyn1faWlwwglQpw5s2AD/+Q+sWROWdewIbduCO3zwAfzySyhv2hS6dctu35df\nJvJfQ0R2xpdffszjjw8iM3MrJ554Gmee2X+75d99N4UnnriXuXNnM2DAw3Tp0nPbsm7d9qdZs5YA\n1KlTj0GDngJg0aIFDBx4LWvWrKJlyzbceusDlClTtugOSnZJjx7w2GPhPD90KNx///bLH34Yjj02\nfN97b6hdG6pVC7/vvx9OPBFKlYLx4+Hqq0N5mTLw+ONwzDGwdSvcdlve8UVEktPMmR/z1luD2Lp1\nK0cccRrHHbd9nJgw4Xk+/3wEaWlpVKxYnTPPvJfq1RsAsGLFb7z++t9ZtWoRYFxyyRBq1Gi4bd2R\nI+9h8uQ3eeihb4rykGQXdeoEN90UzvVvvw3PPbf98uuvh8MOC9/Llw8x4qijwv3FI4+Ee4EyZeD1\n12HEiFCvdGm45Zaw3tat8O9/h/sISR1KABWCMmXK8vDDL1K+fAW2bNnMlVeeSceOR/OnP53Cbbc9\nBMA991zHmDEj6NXrTOrVa8ijj75CpUpV+OKLifzzn7czeHD4r+7f/x5Ehw5Hcddd/2Lz5k1s3PjH\nDvv74ouPSU//hVdeeZ8ffviORx65k8GDR7BmzSpeeulxnnrqTcyMiy/+M507d6VSpSo8+uidXH/9\n3ey//4HcfPNFfPnlx3Ts2KVI/532BDVrhuTPK69AZiacdhrMnQsHHgi//hqSLR06hOTMxx9Ds2bh\nZDx0aDgZH3ccvPpq2NaXX4aT8oEH5r2/tm3hjz/C+q1aQZcuIQlUo0b4/fzzULEinH56qANhH8OH\nw9q1cM45oX3Llyf+30ZE4svMzOSxxwby4IPPU6tWHS655C906tSVpk2bb6tTp049brrpH7zxxnM7\nrF+2bDmGDh21Q/nTTz/Eaaf1o2vXE3n44QGMHTuSXr3OTOixyO4pVQqeeCKcrxcuhClTwoODH37I\nrnPttdnfr7gC2kfPio44Ajp3DrEI4NNPQ2yYODEkfJYuhf32Cxf+1asX3TGJyO7bujWTESMGcvnl\nz1O1ah0eeugvHHBAV+rVy44TDRvuzw03vEnZsuX55JPXGDXqQc4//1EAXnnlJrp3v4RWrTqzceN6\nzLIHg8yf/z2//766yI9Jdk2pUnDrrXDxxbBkCbz2Gnz0Ecybl13noYeyv/ftG+4NADIywj3A5s0h\nMfTmm2HdjAy46CJYsQJOOSXEiSpVivKopChoCFghMDPKl68AwJYtW8jM3AIYhx/eBTPDzGjVqh0Z\nGUsAOOCAg6lUKfzX1Lr1QSxbthiAdevWMm3aFE444S9ASCxVrFh5h/1NmvQB3bv3xsxo3fog1q9f\nw/LlS5ky5VMOOaQzlStXpVKlKhxySGe+/PITli9fyvr162jd+iDMjO7de/Ppp0rlJkL16rBoUejN\n4w4LFkDLltC8OcyYEerMmAEtWoTvLVpkly9aFHoKVQj/V2L+fNi0Kf7+Yrc7ezY0bpxdPmtWSEKt\nXg0rV4YEU7164fvq1SGrP2tWqCsixW/WrGnUr9+E+vUbUaZMWbp2PZFJk7Y/V9et25B9921FqVIF\nC9/uzjffTKZLlx4A9Ohxqs7/JUCHDjBnDvz8c7hAHzYMevXKu37fvuEJLoTYU64clC0Le+0VHiQs\nCZcf/PWv8I9/ZNdT8l+kZPn112nUqtWEmjUbUbp0WQ4++ES+/377c3rLlodTtmx5AJo2PYhVq8J9\nxqJFc9i6dQutWnUGYK+9Kmyrt3VrJu+88wC9et1QhEcju+OAA8J9Rnp6uO94773QuzMvPXvCu++G\n71u2hNgCIVbEXlL07p3dk8gdVq1KSPOlGCUsAWRmrcysm5lVzFHeM691SrLMzEwuvLAXp57aiUMO\n6UTr1tndNrZs2cz48aPo0OGoHdYbO3YkHTocDcDixQupWrU6999/Cxdd1JsHH7yNDRt+32GdZcuW\nULt23W2/a9asy7JlS3Yor1WrzrbyWrViy0N9KXzLlkHDhuHiu3TpMLSrUqXQPX/9+lBn/frwG0Lv\nnLVrs9dfuzaUFVTFitlDvtxDwqh8+by3u7v7EylMe1qcyE9e5/CC2rRpIxdf/Gcuu+x0Pv30fwCs\nWbOSihUrk5ZWOtqmzv8lQYMG4cI+y8KFoSw3jRuH3qQTJoTfkyfDhx+GhwqLFsG4cSHZn/UU9+67\nw9Dk4cPDsDGRZKY4sb1Vq5ZQtWp2nKhatQ6rV+d9Tp88eSStW4f7jIyMXyhfvjJDh17B/ff35p13\n7mfr1kwAPv74Fdq27UaVKjoplBS1a8Pixdm/ly4NU0Lkpl69EENip32oUycM+xo3LowYyMgI9ywA\nl18eHjw8+KB6iqaihCSAzOwqYBRwJTDdzGKfW90bZ73+ZjbVzKa+8sqQRDQtYdLS0hg6dBQjRkxk\n1qxp/Pzzj9uWPfroXbRrdyjt2h263TrffDOZsWNH0r//9QBkZm7hxx9ncsopfXnmmXcoV648r79e\nsv4d9nQrVoST62mnhTl8li4NPW1EZHt7YpxItGHDPuTpp9/i73//J48/fi/p6fOLu0lSBPr0gZEj\ns2PNvvvC/vuHhxENGoR55o48MjyUaNQIPvsMDjkEPv98++EBIsmmMOLE2LF7bpyYMmUU8+dPp2vX\nC4FwnzF37lR6976J668fyfLlC/nii7dYvXoJ3377HkcffXYxt1gSpWdP+N//tr8nWbIk3K+cfHIY\n7lW9ephzrm5d+PbbEFumTYPrriu+du8pzKynmc02szlmdnMuyy8xs+/N7Fsz+9TMWscsuyVab7aZ\n9SjI/hLVA+gi4BB37w0cA9xuZldntTOvldx9iLsf6u6Hnn12/7yqJbWKFStz0EEd+fLLTwB48cXH\nWbVqBZdddst29ebOncVDD/2de+55kipVwqyNtWrVpVatutt6D3Xp0pMff5y5wz5q1qzD0qXZKd9l\nyxZTs2adHcozMpZsK8/IiC0P9SUxvv8eXn45ZM7/+CMMufr99+yhXRUqhN8A69ZlZ9shfF+3ruD7\nWrcOKkejBM1CN84NG/Le7u7uT6QQ7bFxIi95ncMLqlatULd+/UYcdFAH5syZSeXK1Vi3bk00NFnn\n/5IiPT0ka7I0bBjKctOnT/bwL4BTTw29gNavD5933w3zAi1fHn5nTfo8YkR4aYFIEtvtOHHCCakV\nJ6pWrbNtSBeEHkFVqux4Tp89+zPef/8p+vcfvG3S/6pV69Kgwf7UrNmItLTStG3bjQULZrJw4Q9k\nZMzn7ru7c+edXdm8eQMDBx5XZMcku2bp0pCsyVK7dvZw35xih3/llJERhhwffHAY7rVhQ/akz++/\nHx4oSOKYWRrwBHA80BroG5vgibzm7m3d/SDgAeDhaN3WQB+gDdATeDLaXlyJSgCVcvd1AO7+C+Gk\nfbyZPUycE3ZJtWrVCtatC+NwNm78g6+++ozGjfdhzJgRTJnyKbff/vB28zUsWfIbAwZcyS23PECj\nRs22lVevXovatesyf36Yvevrrz+nadN9d9hfp05def/9d3B3Zs78lgoVKlGjRm0OO+xIpk79lLVr\nV7N27WqmTv2Uww47kho1alOhQkVmzvwWd+f999+hc+duCf5X2XNlDe+qVCnM8fPDD+HE2ia8qI02\nbcJv2L68Xr3wZrCsoWIFMXdu9vr77RfmDcrabqtWIZNfpUqYaDprOEC1aqGsVKlQJ6stIkVsj4oT\nBdGqVVvS039h0aIFbN68iQkTxtCpU9cCrbt27Wo2RZOGrV69gunTv6ZJk+aYGe3bd2TixHEAjBv3\nNp07F2ybUnymTAnxo2nTMIdPnz5hEuic9tsvnNM//zy7bP78MOlzWlro9dOlS/bk0f/5T/YcEd26\nwcwdnzGJJBPFiRwaN25LRsYvLF++gC1bNvH112No23b7c/qCBTMZNmwAF100mEqVamwrb9KkLRs2\nrGHt2hUA/PTTF9St25w2bY5h0KBJ3HnnBO68cwJlypRnwIDxRXpcsvNmzAhDgBs0COf6nj3DZP85\nNW0a7km++y67rHbtMEcchGXt22e/LXjixOw3h3XsGO41JKE6AHPcfZ67bwKGAdvN+ufua2J+VgA8\n+t4LGObuG939Z2BOtL24EvUWsCVmdpC7fwvg7uvM7CTgOaBtgvZZbJYvX8p9993M1q2ZbN3qHHNM\nT4444li6dWvN/7d398F2VeUdx78/wqsihNZWI6BESBEFiy0ClTGtoBCwAq1oAwOENzNIEKkDRKui\ngBmjzmCwAiVCePENKK0SAc1oxZdSiOEdgqARAYNSrYCIIJjw9I+9Lxyu99683eTce+73M3MmZ6+9\n9t7rJGfWk/PstdZ+6UtfxowZ/wTAG9/4FqZNO55LLjmbxx57lDlzTgOa6WPnndfckjvhhA8za9ZJ\nLFv2ByZM2JqZM5vVGufPb27v7b//wey++9+ycOF3OfTQt7DRRpswc2YzCnazzcZz2GHHceyxzSLS\nhx8+g802Gw/AiSd+hNmzP8DTT/+eXXedzG67TV53f0FjzAEHNGsAPfNMM9zyqadg4cJmeOVrX9us\n2dP3H/l7723WCXrXu5rF2Dqz8wcf3AzH3GADOPbYZnG3++5rnu7y0ENNh3z77c2jfo85phlt9LWv\nNcf++tfNotBHHfVcO6rtKr71rWZ62nrrNaOVXAR0zSQZD5wP7EjTIR8F3ANcBmwD3Ae8s6oeSRLg\nLGA/4AngiKq6uT3PNOBD7Wk/VlUXr8OP0Q1jKk6sjHHj1ueEE07llFOO4ZlnlrPvvm9n4sRJzJt3\nFttvvyN77LEXd999Ox/+8PE8/vhjXH/9tVx44b9y0UVXc//9P+HMMz9CEqqKgw9+17NPD5s+/WTO\nOOOfueCCOUyatAP77feOLn9Srcjy5c2TvRYsaBI58+Y1yZrTToMbb3yur586tRlt2umKK5ppX3fc\n0fT73/gGXHVVs2/mzODS6WUAAA8sSURBVGaE6pw5zV3fI49ct59LWkXGiX7GjVufgw46lXPOaeLE\n7ru/nQkTJnH11Wfx8pfvyE477cWVV36Sp59+ggsvbAZLbbHFBKZP/zfWW28cBx44k7PPnkYVbL31\na3jDG4wHo9Xy5c2i/uee2/yf/qtfbX4bHHdckxzqSwZNmdLEkk6vfGUztauqmUFw8cXP3RCeMwdm\nzYKTT25mMZx66rr9XL0oyXSgczji3Krqm5+6JdCx6h9Lgd0GOMcM4H3AhkBf1ndL4IZ+xw6yYmDH\nuarvV+EwSrIVsKyqHhpg3x5Vdd2KzvHznzP8DdOo1PdYdAng5JPX7K7fggUr37fss8+Kr5XkYuD7\nVXV+kg2BFwD/AjxcVbPbubxbVNXMJPvRrGWwH03nflZV7ZbkT4AbgV1okkg30Qx7f2RVP99oYZzQ\ncBpsgWSNTVUjK05o9QxHnFiVf0v1tlNO6XYLNJLcdtvIiBNJDgKmVNUx7fZhwG5Vdfwg9Q8B9qmq\naUk+C9xQVV9o910AfL2qrhiqPWtlClhVLR2os273rbCzlqTRIMnmwGTgAoCqerqqHqUZktk3gudi\n4MD2/QHAJdW4ARifZAKwD/DNqnq4Tfp8k2Yub88yTkgaK9b1Ap+9wjghaQx4EOhY9Y+t2rLBXMpz\nvytW9VhgLT4GXpJGu84nibSv/qtJTgR+BVyY5JYk5yd5IfCSqvpFW+choG+FxoGGeW45RLkkaRTr\nxgKfkqRRYxEwKcnEdibBVOB5q/4lmdSx+Vbgx+37+cDUJBslmQhMAn6woguurTWAJGnUa+fnDvUM\n2fWBvwLeU1ULk5wFPO/ublVVEoegS9LY9OwCnwBJ+hb4fHYJ7pVZ4BP4aZK+BT47lv2WJI1WVbUs\nyfHAAmAcMK+qFic5HbixquYDxyd5M/AH4BFgWnvs4iSX08STZcCMqlq+omuaAJKk1bcUWFpVC9vt\nK2gSQP+bZEJV/aKd4vXLdv9gQzUfpHm6SWf5d9ZiuyVJw2AFi3tCFxb4lCSNHlV1DXBNv7JTO96/\nd4hjZwGzVuV6TgGTpNXUrk3wsyTbt0V70WTh59Nm59s/r2zfzwcOT2N34DftVLEFwN5JtkiyBbB3\nWyZJGsGqam5V7dLxGmrU6FDnObuqtgVm8twTISVJGlaOAJKkNfMe4IvtvN17gSNpkuuXJzkauB94\nZ1v3GpongC2heQz8kQBV9XCSM2jmAQOcXlUPr7uPIElaS1Zngc9zV/NYSZKGZAJIktZAVd1K8/j2\n/vYaoG4BMwY5zzxg3vC2TpLUZc8u8EmTvJkKHNJZIcmkqupb1LP/Ap9fSnIm8DJWcoFPSZIGYwJI\nkiRJWgu6scCnJEmDMQEkSZIkrSXreoFPSZIG4yLQkiRJkiRJPc4EkCRJkiRJUo8zASRJkiRJktTj\nTABJkiRJkiT1OBNAkiRJkiRJPc6ngEkaU3baqdstkCSNZMYJSdJQRnOccASQJEmSJElSjzMBJEmS\nJEmS1ONMAEmSJEmSJPU4E0CSJEmSJEk9zgSQJEmSJElSjzMBJEmSJEmS1ONMAEmSJEmSJPU4E0CS\nJEmSJEk9zgSQJEmSJElSjzMBJEmSJEmS1ONMAEmSJEmSJPU4E0CSJEmSJEk9zgSQJEmSJElSjzMB\nJEmSJEmS1ONMAEmSJEmSJPU4E0CSJEmSJEk9zgSQJEmSJElSjzMBJEmSJEmS1ONMAEmSJEmSJPU4\nE0CSJEmSJEk9zgSQJEmSJElSjzMBJEmSJEmS1ONMAEmSJEmSJK1jSaYkuSfJkiTvH2D/5CQ3J1mW\n5KB++5YnubV9zV+Z660/XA2XJEmSJEnSiiUZB5wNvAVYCixKMr+q7uqo9gBwBHDSAKd4sqp2XpVr\nOgJIklZTko2T/CDJbUkWJzmtLZ+YZGGbyb8syYZt+Ubt9pJ2/zYd5/pAW35Pkn2684kkSZIkrSO7\nAkuq6t6qehq4FDigs0JV3VdVtwPPDMcFTQBJ0up7Ctizqv4S2BmYkmR34BPAp6tqO+AR4Oi2/tHA\nI235p9t6JHk1MBV4DTAFOKe9IyBJkiSpN20J/Kxje2lbtrI2TnJjkhuSHLgyB5gAkqTVVI3H280N\n2lcBewJXtOUXA30d8gHtNu3+vZKkLb+0qp6qqp8CS2juCEiSJEkapZJMb5M0fa/pw3j6V1TVLsAh\nwJwk267oANcAkqRBtB10Zyc9t6rm9qszDrgJ2I5mDu9PgEerallbpTOT/2yWv6qWJfkN8Kdt+Q0d\np13V7L8kSZKkEab97TB3kN0PAlt3bG/Vlq3suR9s/7w3yXeA19H8FhmUCSBJGsQKOuy+OsuBnZOM\nB74CvGpdtE2SJEnSqLYImJRkIk3iZyrNaJ4VSrIF8ERVPZXkxcAewCdXdJxTwCRpGFTVo8C1wN8A\n45P0Jdg7M/nPZvnb/ZsDv2YNs/+SJEmSRpd2xsDxwALgh8DlVbU4yelJ9gdI8vokS4F3AOclWdwe\nvgNwY5LbaH6DzO739LABOQJIklZTkj8D/lBVjybZhOYRjp+g6YQPolnJfxpwZXvI/Hb7+nb/t6uq\nkswHvpTkTOBlwCTgB+v0w0iSJElap6rqGuCafmWndrxfRHNzuP9x/wPstKrXMwEkSatvAnBxuw7Q\nejRZ+6uS3AVcmuRjwC3ABW39C4DPJ1kCPEwzzJM20385cBewDJjRTi2TJEmSpGFhAkiSVlNV3U6z\n2Fr/8nsZ4CleVfV7muGbA51rFjBruNsoSequJFOAs4BxwPlVNbvf/snAHOC1wNSquqJj33Lgjnbz\ngaraf920WpLUi0wASZIkSWtBO0L0bJopwkuBRUnm91un4QHgCOCkAU7xZFXtvNYbKkkaE0wASZIk\nSWvHrsCSdmQoSS4FDqCZ8gtAVd3X7numGw2UJI0dqaput0FDSDK9fRS1xji/C5IGYt+gPn4X1r0k\n04HpHUVzO/8NkhwETKmqY9rtw4Ddqur4Ac51EXBVvylgy4BbadaHm11VX10rH0Q9zb5BffwuyMfA\nj3zTV1xFY4TfBUkDsW9QH78L61hVza2qXTpew/3D6hVVtQtwCDAnybbDfH6NDfYN6uN3YYwzASRJ\nkiStHQ8CW3dsb9WWrZSqerD9817gOwzw4AFJklaWCSBJkiRp7VgETEoyMcmGwFRg/socmGSLJBu1\n718M7EHH2kGSJK0qE0Ajn3M01cfvgqSB2Deoj9+FEaaqlgHHAwuAHwKXV9XiJKcn2R8gyeuTLAXe\nAZyXZHF7+A7AjUluA66lWQPIBJBWh32D+vhdGONcBFqSJEmSJKnHOQJIkiRJkiSpx5kAkiRJkiRJ\n6nEmgEaoJPOS/DLJnd1ui7orydZJrk1yV5LFSd7b7TZJ6j7jhPoYJyQNxDghMEbo+VwDaIRKMhl4\nHLikqnbsdnvUPUkmABOq6uYkLwJuAg50IUhpbDNOqI9xQtJAjBMCY4SezxFAI1RVfQ94uNvtUPdV\n1S+q6ub2/W9pniKyZXdbJanbjBPqY5yQNBDjhMAYoeczASSNIkm2AV4HLOxuSyRJI5FxQpI0GGOE\nTABJo0SSTYH/AE6sqse63R5J0shinJAkDcYYITABJI0KSTag6bC/WFX/2e32SJJGFuOEJGkwxgj1\nMQEkjXBJAlwA/LCqzux2eyRJI4txQpI0GGOEOpkAGqGSfBm4Htg+ydIkR3e7TeqaPYDDgD2T3Nq+\n9ut2oyR1l3FCHYwTkv6IcUItY4Se5WPgJUmSJEmSepwjgCRJkiRJknqcCSBJkiRJkqQeZwJIkiRJ\nkiSpx5kAkiRJkiRJ6nEmgCRJkiRJknqcCSA9T5Ll7aMB70zy70lesAbn+rskV7Xv90/y/iHqjk9y\n3Gpc46NJThpk3+Ht57gjyS199ZJclOSgVb2WJMk4IUkamnFCGrlMAKm/J6tq56raEXgaOLZzZxqr\n/L2pqvlVNXuIKuOBVe6wB5NkX+BEYO+q2gnYHfjNcJ1fksYw44QkaSjGCWmEMgGkoXwf2C7JNknu\nSXIJcCewdZK9k1yf5OY2s78pQJIpSe5OcjPwj30nSnJEks+271+S5CtJbmtfbwBmA9u2dws+1dY7\nOcmiJLcnOa3jXB9M8qMk/w1sP0jbPwCcVFU/B6iqp6rqc/0rJTm1vcadSeYmSVt+QpK72mtf2pb9\nbdu+W9s7AC9aw79fSRrtjBPGCUkainHCOKERZP1uN0AjU5L1gX2Bb7RFk4BpVXVDkhcDHwLeXFW/\nSzITeF+STwKfA/YElgCXDXL6zwDfrap/SDIO2BR4P7BjVe3cXn/v9pq7AgHmJ5kM/A6YCuxM8/29\nGbhpgGvsOEh5f5+tqtPba34e+Hvga217JlbVU0nGt3VPAmZU1XVtgPr9SpxfknqSccI4IUlDMU4Y\nJzTyOAJI/W2S5FbgRuAB4IK2/P6quqF9vzvwauC6tu404BXAq4CfVtWPq6qALwxyjT2BcwGqanlV\nDTSUcu/2dQtNp/wqmg78jcBXquqJqnoMmL9GnxbelGRhkjvadr2mLb8d+GKSQ4Flbdl1wJlJTgDG\nV9WyPz6dJPU840TDOCFJAzNONIwTGnEcAaT+nuzLmvdpRzH+rrMI+GZVHdyv3vOOW0MBPl5V5/W7\nxokrefxi4K+Bbw96gWRj4Bxgl6r6WZKPAhu3u98KTAbeBnwwyU5VNTvJ1cB+NMFqn6q6e1U+lCT1\nAONEwzghSQMzTjSMExpxHAGk1XEDsEeS7QCSvDDJXwB3A9sk2batd/Agx/8X8O722HFJNgd+C3TO\ngV0AHNUxF3jLJH8OfA84MMkm7ZzZtw1yjY8Dn0ry0vb4DZMc069OX+f8f+11DmrrrgdsXVXXAjOB\nzYFNk2xbVXdU1SeARTR3ESRJf8w4YZyQpKEYJ4wT6gJHAGmVVdWvkhwBfDnJRm3xh6rqR0mmA1cn\neYJm0beBFjZ7LzA3ydHAcuDdVXV9kuuS3Al8vapOTrIDcH17x+Bx4NCqujnJZcBtwC9pOs6B2nhN\nkpcA30pzggLm9avzaJLP0SxE91DHucYBX2gDSYDPtHXPSPIm4BmaOwJfX8W/OkkaE4wTxglJGopx\nwjih7kgztVKSJEmSJEm9yilgkiRJkiRJPc4EkCRJkiRJUo8zASRJkiRJktTjTABJkiRJkiT1OBNA\nkiRJkiRJPc4EkCRJkiRJUo8zASRJkiRJktTj/h/pG90xST2NaAAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "bemispVtCyp-",
"colab_type": "text"
},
"source": [
"## 5. Conclusions"
]
},
{
"cell_type": "code",
"metadata": {
"id": "zRO-VPG2Cyp_",
"colab_type": "code",
"outputId": "c303640d-ba67-4b07-a68a-40b164e115d6",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 309
}
},
"source": [
"# Please compare all your models using Prettytable library\n",
"# http://zetcode.com/python/prettytable/\n",
"\n",
"from prettytable import PrettyTable\n",
"\n",
"#If you get a ModuleNotFoundError error , install prettytable using: pip3 install prettytable\n",
"\n",
"x = PrettyTable()\n",
"x.field_names = [\"Vectorizer\", \"Model\", \"Hyper Parameter\", \"AUC\"]\n",
"\n",
"x.add_row([\"NA\", \"RANDOM\", \"NA\", 0.89])\n",
"x.add_row([\"TFIDF\", \"Linear SVM\", \"Alpha:10**-5 Penalty:L1\", 0.497])\n",
"x.add_row([\"TFIDF\", \"Logistic Regression\", \"Alpha:10**-5 Penalty:L1\", 0.504])\n",
"x.add_row([\"TFIDF\", \"Logistic Regression\", \"Alpha:10**-5 Penalty:L2\", 0.505])\n",
"x.add_row([\"TFIDF-weighted W2V\", \"Linear SVM\", \"Alpha:0.0001 Penalty:L1\", 0.48])\n",
"x.add_row([\"TFIDF-weighted W2V\", \"Logistic Regression\", \"Alpha:1 Penalty:L1\", 0.52])\n",
"x.add_row([\"TFIDF\", \"XGBoost\", \"Default Parameters\", 0.41])\n",
"x.add_row([\"TFIDF\", \"XGBoost\", '''colsample_bylevel: 1.0,colsample_bytree: 0.7,gamma: 0.25,learning_rate: 0.2,max_depth: 4,\n",
"min_child_weight: 5.0,n_estimators: 100,reg_lambda: 1.0,silent: False,subsample: 0.9''', 0.378])\n",
"x.add_row([\"TFIDF-weighted W2V\", \"XGBoost\", \"Default Parameters\", 0.357])\n",
"x.add_row([\"TFIDF-weighted W2V\", \"XGBoost\", ''''colsample_bylevel': 0.9 ,'colsample_bytree': 0.5,'gamma': 0 ,'learning_rate': 0.2,\n",
" 'max_depth': 2,'min_child_weight': 0.5,'n_estimators': 100,'reg_lambda': 50,'silent': False,'subsample': 0.7''', 0.347])\n",
"\n",
"print(x)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"+--------------------+---------------------+------------------------------------------------------------------------------------------------------------------------+-------+\n",
"| Vectorizer | Model | Hyper Parameter | AUC |\n",
"+--------------------+---------------------+------------------------------------------------------------------------------------------------------------------------+-------+\n",
"| NA | RANDOM | NA | 0.89 |\n",
"| TFIDF | Linear SVM | Alpha:10**-5 Penalty:L1 | 0.497 |\n",
"| TFIDF | Logistic Regression | Alpha:10**-5 Penalty:L1 | 0.504 |\n",
"| TFIDF | Logistic Regression | Alpha:10**-5 Penalty:L2 | 0.505 |\n",
"| TFIDF-weighted W2V | Linear SVM | Alpha:0.0001 Penalty:L1 | 0.48 |\n",
"| TFIDF-weighted W2V | Logistic Regression | Alpha:1 Penalty:L1 | 0.52 |\n",
"| TFIDF | XGBoost | Default Parameters | 0.41 |\n",
"| TFIDF | XGBoost | colsample_bylevel: 1.0,colsample_bytree: 0.7,gamma: 0.25,learning_rate: 0.2,max_depth: 4, | 0.378 |\n",
"| | | min_child_weight: 5.0,n_estimators: 100,reg_lambda: 1.0,silent: False,subsample: 0.9 | |\n",
"| TFIDF-weighted W2V | XGBoost | Default Parameters | 0.357 |\n",
"| TFIDF-weighted W2V | XGBoost | 'colsample_bylevel': 0.9 ,'colsample_bytree': 0.5,'gamma': 0 ,'learning_rate': 0.2, | 0.347 |\n",
"| | | 'max_depth': 2,'min_child_weight': 0.5,'n_estimators': 100,'reg_lambda': 50,'silent': False,'subsample': 0.7 | |\n",
"+--------------------+---------------------+------------------------------------------------------------------------------------------------------------------------+-------+\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "YWEEooer3Gyj",
"colab_type": "text"
},
"source": [
"### Observations"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "SPHnI6hc3QJr",
"colab_type": "text"
},
"source": [
"\n",
"\n",
"1. We have Random Model with log loss of 0.89\n",
"2. We have tried modelling data for TFIDF and TFIDF weighted W2V data and tried with Logistic Regression , Linear SVM , XGBoost\n",
"3. We have got good values for logistic regression with TFIDF as compared to weighted w2v models.\n",
"4. We have got good values for Linear SVM with TFIDF weighted w2v as compared to TFIDF models.\n",
"5. We have got good values for XGBOOST with TFIDF weighted w2v as compared to TFIDF models.\n",
"6. After tuning XGBoost we got slight increase of performance and results of model .\n"
]
}
]
} ![\"Open](\"https://colab.research.google.com/assets/colab-badge.svg\"){kind=icon}