{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Credits: Forked from [deep-learning-keras-tensorflow](https://github.com/leriomaggio/deep-learning-keras-tensorflow) by Valerio Maggio" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Unsupervised learning" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### AutoEncoders " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An autoencoder, is an artificial neural network used for learning efficient codings. \n", "\n", "The aim of an autoencoder is to learn a representation (encoding) for a set of data, typically for the purpose of dimensionality reduction. " ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Unsupervised learning is a type of machine learning algorithm used to draw inferences from datasets consisting of input data without labeled responses. The most common unsupervised learning method is cluster analysis, which is used for exploratory data analysis to find hidden patterns or grouping in data." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Train on 60000 samples, validate on 10000 samples\n", "Epoch 1/50\n", "60000/60000 [==============================] - 20s - loss: 0.3832 - val_loss: 0.2730\n", "Epoch 2/50\n", "60000/60000 [==============================] - 19s - loss: 0.2660 - val_loss: 0.2557\n", "Epoch 3/50\n", "60000/60000 [==============================] - 18s - loss: 0.2455 - val_loss: 0.2331\n", "Epoch 4/50\n", "60000/60000 [==============================] - 19s - loss: 0.2254 - val_loss: 0.2152\n", "Epoch 5/50\n", "60000/60000 [==============================] - 19s - loss: 0.2099 - val_loss: 0.2018\n", "Epoch 6/50\n", "60000/60000 [==============================] - 19s - loss: 0.1982 - val_loss: 0.1917\n", "Epoch 7/50\n", "60000/60000 [==============================] - 19s - loss: 0.1893 - val_loss: 0.1840\n", "Epoch 8/50\n", "60000/60000 [==============================] - 19s - loss: 0.1824 - val_loss: 0.1778\n", "Epoch 9/50\n", "60000/60000 [==============================] - 19s - loss: 0.1766 - val_loss: 0.1725\n", "Epoch 10/50\n", "60000/60000 [==============================] - 19s - loss: 0.1715 - val_loss: 0.1676\n", "Epoch 11/50\n", "60000/60000 [==============================] - 18s - loss: 0.1669 - val_loss: 0.1632\n", "Epoch 12/50\n", "60000/60000 [==============================] - 19s - loss: 0.1626 - val_loss: 0.1593\n", "Epoch 13/50\n", "60000/60000 [==============================] - 19s - loss: 0.1587 - val_loss: 0.1554\n", "Epoch 14/50\n", "60000/60000 [==============================] - 19s - loss: 0.1551 - val_loss: 0.1520\n", "Epoch 15/50\n", "60000/60000 [==============================] - 19s - loss: 0.1519 - val_loss: 0.1489\n", "Epoch 16/50\n", "60000/60000 [==============================] - 19s - loss: 0.1489 - val_loss: 0.1461\n", "Epoch 17/50\n", "60000/60000 [==============================] - 19s - loss: 0.1461 - val_loss: 0.1435\n", "Epoch 18/50\n", "60000/60000 [==============================] - 19s - loss: 0.1435 - val_loss: 0.1408\n", "Epoch 19/50\n", "60000/60000 [==============================] - 19s - loss: 0.1410 - val_loss: 0.1385\n", "Epoch 20/50\n", "60000/60000 [==============================] - 19s - loss: 0.1387 - val_loss: 0.1362\n", "Epoch 21/50\n", "60000/60000 [==============================] - 19s - loss: 0.1365 - val_loss: 0.1340\n", "Epoch 22/50\n", "60000/60000 [==============================] - 19s - loss: 0.1344 - val_loss: 0.1320\n", "Epoch 23/50\n", "60000/60000 [==============================] - 19s - loss: 0.1324 - val_loss: 0.1301\n", "Epoch 24/50\n", "60000/60000 [==============================] - 19s - loss: 0.1305 - val_loss: 0.1282\n", "Epoch 25/50\n", "60000/60000 [==============================] - 18s - loss: 0.1287 - val_loss: 0.1265\n", "Epoch 26/50\n", "60000/60000 [==============================] - 18s - loss: 0.1270 - val_loss: 0.1248\n", "Epoch 27/50\n", "60000/60000 [==============================] - 18s - loss: 0.1254 - val_loss: 0.1232\n", "Epoch 28/50\n", "60000/60000 [==============================] - 19s - loss: 0.1238 - val_loss: 0.1217\n", "Epoch 29/50\n", "60000/60000 [==============================] - 19s - loss: 0.1224 - val_loss: 0.1203\n", "Epoch 30/50\n", "60000/60000 [==============================] - 19s - loss: 0.1210 - val_loss: 0.1189\n", "Epoch 31/50\n", "60000/60000 [==============================] - 19s - loss: 0.1197 - val_loss: 0.1176\n", "Epoch 32/50\n", "60000/60000 [==============================] - 19s - loss: 0.1184 - val_loss: 0.1163\n", "Epoch 33/50\n", "60000/60000 [==============================] - 19s - loss: 0.1173 - val_loss: 0.1152\n", "Epoch 34/50\n", "60000/60000 [==============================] - 19s - loss: 0.1161 - val_loss: 0.1141\n", "Epoch 35/50\n", "60000/60000 [==============================] - 19s - loss: 0.1151 - val_loss: 0.1131\n", "Epoch 36/50\n", "60000/60000 [==============================] - 19s - loss: 0.1141 - val_loss: 0.1122\n", "Epoch 37/50\n", "60000/60000 [==============================] - 19s - loss: 0.1132 - val_loss: 0.1112\n", "Epoch 38/50\n", "60000/60000 [==============================] - 19s - loss: 0.1123 - val_loss: 0.1104\n", "Epoch 39/50\n", "60000/60000 [==============================] - 19s - loss: 0.1115 - val_loss: 0.1095\n", "Epoch 40/50\n", "60000/60000 [==============================] - 19s - loss: 0.1107 - val_loss: 0.1088\n", "Epoch 41/50\n", "60000/60000 [==============================] - 19s - loss: 0.1100 - val_loss: 0.1081\n", "Epoch 42/50\n", "60000/60000 [==============================] - 19s - loss: 0.1093 - val_loss: 0.1074\n", "Epoch 43/50\n", "60000/60000 [==============================] - 19s - loss: 0.1087 - val_loss: 0.1068\n", "Epoch 44/50\n", "60000/60000 [==============================] - 19s - loss: 0.1081 - val_loss: 0.1062\n", "Epoch 45/50\n", "60000/60000 [==============================] - 19s - loss: 0.1075 - val_loss: 0.1057\n", "Epoch 46/50\n", "60000/60000 [==============================] - 19s - loss: 0.1070 - val_loss: 0.1052\n", "Epoch 47/50\n", "60000/60000 [==============================] - 20s - loss: 0.1065 - val_loss: 0.1047\n", "Epoch 48/50\n", "60000/60000 [==============================] - 17s - loss: 0.1061 - val_loss: 0.1043\n", "Epoch 49/50\n", "60000/60000 [==============================] - 29s - loss: 0.1056 - val_loss: 0.1039\n", "Epoch 50/50\n", "60000/60000 [==============================] - 21s - loss: 0.1052 - val_loss: 0.1034\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# based on: https://blog.keras.io/building-autoencoders-in-keras.html\n", "\n", "encoding_dim = 32 \n", "input_img = Input(shape=(784,))\n", "encoded = Dense(encoding_dim, activation='relu')(input_img)\n", "decoded = Dense(784, activation='sigmoid')(encoded)\n", "autoencoder = Model(input=input_img, output=decoded)\n", "encoder = Model(input=input_img, output=encoded)\n", "\n", "encoded_input = Input(shape=(encoding_dim,))\n", "decoder_layer = autoencoder.layers[-1]\n", "decoder = Model(input=encoded_input, output=decoder_layer(encoded_input))\n", "\n", "autoencoder.compile(optimizer='adadelta', loss='binary_crossentropy')\n", "\n", "(x_train, _), (x_test, _) = mnist.load_data()\n", "\n", "x_train = x_train.astype('float32') / 255.\n", "x_test = x_test.astype('float32') / 255.\n", "x_train = x_train.reshape((len(x_train), np.prod(x_train.shape[1:])))\n", "x_test = x_test.reshape((len(x_test), np.prod(x_test.shape[1:])))\n", "\n", "#note: x_train, x_train :) \n", "autoencoder.fit(x_train, x_train,\n", " nb_epoch=50,\n", " batch_size=256,\n", " shuffle=True,\n", " validation_data=(x_test, x_test))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Testing the Autoencoder " ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "image/png": 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tITXAh7QorgGb94XPslbU9Pt9uTweD2azmUzVaAHJNu7vgxE13DAODw9FasiL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\nbDa1izCU4ywACDtOizSW44Dn5/r6uqer6Onpqezv72vwAtkQFlCV93o9K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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "encoded_imgs = encoder.predict(x_test)\n", "decoded_imgs = decoder.predict(encoded_imgs)\n", "\n", "n = 10 \n", "plt.figure(figsize=(20, 4))\n", "for i in range(n):\n", " # original\n", " ax = plt.subplot(2, n, i + 1)\n", " plt.imshow(x_test[i].reshape(28, 28))\n", " plt.gray()\n", " ax.get_xaxis().set_visible(False)\n", " ax.get_yaxis().set_visible(False)\n", "\n", " # reconstruction\n", " ax = plt.subplot(2, n, i + 1 + n)\n", " plt.imshow(decoded_imgs[i].reshape(28, 28))\n", " plt.gray()\n", " ax.get_xaxis().set_visible(False)\n", " ax.get_yaxis().set_visible(False)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Sample generation with Autoencoder " ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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AOqCexWPb1Njt/Py8KRZOzKW/GEpvL0nCyu+Dd5BPhcfd3d0gG2ngz5x7W87j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lM5qWjyz/OGbCCTljs3j92+m3smuQjZY7vkhCz2An/0XvuQqMnMkUFAMrssDg4uhWqfYXBA5UVP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\nAzHHpE+SVBnPsUGO3KzcyR4y0deZiqhhBRJjwfdms9lJXjwcxqu3IHszq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U5E\nrkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "encoded_imgs = np.random.rand(10,32)\n", "decoded_imgs = decoder.predict(encoded_imgs)\n", "\n", "n = 10 \n", "plt.figure(figsize=(20, 4))\n", "for i in range(n):\n", " # generation\n", " ax = plt.subplot(2, n, i + 1 + n)\n", " plt.imshow(decoded_imgs[i].reshape(28, 28))\n", " plt.gray()\n", " ax.get_xaxis().set_visible(False)\n", " ax.get_yaxis().set_visible(False)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Pretraining encoders " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One of the powerful tools of auto-encoders is using the encoder to generate meaningful representation from the feature vectors." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Use the encoder to pretrain a classifier " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Natural Language Processing using Artificial Neural Networks" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "> “In God we trust. All others must bring data.” – W. Edwards Deming, statistician" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Word Embeddings\n", "\n", "### What?\n", "Convert words to vectors in a high dimensional space. Each dimension denotes an aspect like gender, type of object / word.\n", "\n", "\"Word embeddings\" are a family of natural language processing techniques aiming at mapping semantic meaning into a geometric space. This is done by associating a numeric vector to every word in a dictionary, such that the distance (e.g. L2 distance or more commonly cosine distance) between any two vectors would capture part of the semantic relationship between the two associated words. The geometric space formed by these vectors is called an embedding space.\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Why?\n", "By converting words to vectors we build relations between words. More similar the words in a dimension, more closer their scores are.\n", "\n", "### Example\n", "_W(green) = (1.2, 0.98, 0.05, ...)_\n", "\n", "_W(red) = (1.1, 0.2, 0.5, ...)_\n", "\n", "Here the vector values of _green_ and _red_ are very similar in one dimension because they both are colours. The value for second dimension is very different because red might be depicting something negative in the training data while green is used for positiveness.\n", "\n", "By vectorizing we are indirectly building different kind of relations between words." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example of `word2vec` using gensim" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Using gpu device 0: GeForce GTX 760 (CNMeM is enabled with initial size: 90.0% of memory, cuDNN 4007)\n" ] } ], "source": [ "from gensim.models import word2vec\n", "from gensim.models.word2vec import Word2Vec" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Reading blog post from data directory" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import os\n", "import pickle" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "DATA_DIRECTORY = os.path.join(os.path.abspath(os.path.curdir), 'data')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "male_posts = []\n", "female_post = []" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "with open(os.path.join(DATA_DIRECTORY,\"male_blog_list.txt\"),\"rb\") as male_file:\n", " male_posts= pickle.load(male_file)\n", " \n", "with open(os.path.join(DATA_DIRECTORY,\"female_blog_list.txt\"),\"rb\") as female_file:\n", " female_posts = pickle.load(female_file)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2252\n", "2611\n" ] } ], "source": [ "print(len(female_posts))\n", "print(len(male_posts))" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "filtered_male_posts = list(filter(lambda p: len(p) > 0, male_posts))\n", "filtered_female_posts = list(filter(lambda p: len(p) > 0, female_posts))\n", "posts = filtered_female_posts + filtered_male_posts" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2247 2595 4842\n" ] } ], "source": [ "print(len(filtered_female_posts), len(filtered_male_posts), len(posts))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Word2Vec" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [], "source": [ "w2v = Word2Vec(size=200, min_count=1)\n", "w2v.build_vocab(map(lambda x: x.split(), posts[:100]), )" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [ { "data": { "text/plain": [ "{'see.': ,\n", " 'never.': ,\n", " 'driving': ,\n", " 'buddy': ,\n", " 'DEFENSE': ,\n", " 'interval': ,\n", " 'Right': ,\n", " 'minds,': ,\n", " 'earth.': ,\n", " 'pleasure': ,\n", " 'school,': ,\n", " 'someone': ,\n", " 'dangit...': ,\n", " 'one!': ,\n", " 'hard.': ,\n", " 'programs,': ,\n", " 'SEEEENNNIIIOOORS!!!': ,\n", " 'two)': ,\n", " \"o'\": ,\n", " '--': ,\n", " 'this-actually': ,\n", " 'swimming.': ,\n", " 'people.': ,\n", " 'turn': ,\n", " 'happened': ,\n", " 'clothing:': ,\n", " 'it!': ,\n", " 'church': ,\n", " 'boring.': ,\n", " 'freaky': ,\n", " 'Democrats,': ,\n", " '*kick': ,\n", " '\"It': ,\n", " 'wet': ,\n", " 'snooze': ,\n", " 'points': ,\n", " 'Sen.': ,\n", " 'although': ,\n", " 'Charlotte': ,\n", " 'lil...but': ,\n", " 'oneo': ,\n", " 'course;': ,\n", " 'Bring': ,\n", " '(compared': ,\n", " 'ugh.': ,\n", " 'sit': ,\n", " 'dipped?': ,\n", " 'based': ,\n", " 'A.I.': ,\n", " 'breathing.': ,\n", " 'multi-millionaire': ,\n", " 'groups': ,\n", " 'on': ,\n", " 'animals),': ,\n", " 'Manners?': ,\n", " 'you?]:': ,\n", " 'redistribute': ,\n", " 'omg.': ,\n", " 'dance?:': ,\n", " 'Canada)': ,\n", " 'came': ,\n", " 'poof': ,\n", " 'brownies.': ,\n", " 'Not': ,\n", " 'spaces': ,\n", " 'destroy': ,\n", " 'maybe.': ,\n", " 'Industrial': ,\n", " 'boring': ,\n", " 'is:': ,\n", " 'question.': ,\n", " 'long-lasting': ,\n", " 'sun': ,\n", " 'CrAp*': ,\n", " 'irresistable': ,\n", " 'dont...i': ,\n", " 'loss.': ,\n", " 'easy': ,\n", " 'wanna': ,\n", " 'Gaviota': ,\n", " 'nose': ,\n", " 'slept': ,\n", " 'hahahahah': ,\n", " 'halloween': ,\n", " 'shes': ,\n", " 'realize': ,\n", " 'twice': ,\n", " 'lift': ,\n", " 'china,': ,\n", " 'Standard.)': ,\n", " 'worried': ,\n", " 'Opposite': ,\n", " 'chin.': ,\n", " 'Garden': ,\n", " 'guy': ,\n", " 'remmeber': ,\n", " 'fence,': ,\n", " 'apologizing': ,\n", " 'next.': ,\n", " 'MATTERS': ,\n", " 'rugs': ,\n", " 'her...': ,\n", " 'energy,': ,\n", " 'recorded,': ,\n", " 'pepsi.': ,\n", " 'r': ,\n", " '13': ,\n", " 'at:': ,\n", " 'cheaper': ,\n", " 'children!': ,\n", " 'tree': ,\n", " 'met': ,\n", " 'one,': ,\n", " 'rejected?': ,\n", " 'Marianne’s': ,\n", " 'Icenhower': ,\n", " 'day!': ,\n", " 'leaving': ,\n", " '2110': ,\n", " 'kiss:': ,\n", " 'nearest': ,\n", " 'aimlessly': ,\n", " 'sprint': ,\n", " 'kids!)': ,\n", " 'canteen': ,\n", " 'weekend!': ,\n", " 'him': ,\n", " 'scariest': ,\n", " 'this?': ,\n", " '\"choosing': ,\n", " 'Talk': ,\n", " 'weeks': ,\n", " \"You'll\": ,\n", " 'goodnight': ,\n", " 'skiing.': ,\n", " 'KeEp': ,\n", " 'week': ,\n", " 'norwegian': ,\n", " 'HAND:': ,\n", " 'fact,': ,\n", " 'thanksgiving': ,\n", " 'me..argh...': ,\n", " 'she': ,\n", " 'Tree': ,\n", " 'combat.': ,\n", " 'mitosis': ,\n", " 'offered': ,\n", " 'no..': ,\n", " '(there': ,\n", " 'aspirations': ,\n", " 'page': ,\n", " 'Least': ,\n", " 'each': ,\n", " 'ride...': ,\n", " 'doesn’t': ,\n", " 'FUCK': ,\n", " 'gona': ,\n", " 'window': ,\n", " 'end': ,\n", " 'expected': ,\n", " 'well.': ,\n", " 'called': ,\n", " \"needn't\": ,\n", " 'doesnt': ,\n", " 'venturing': ,\n", " 'alex': ,\n", " 'here:': ,\n", " 'ewWw': ,\n", " 'pole?': ,\n", " 'melody,': ,\n", " 'motivated': ,\n", " 'Well,': ,\n", " 'says:': ,\n", " 'worm': ,\n", " '[some': ,\n", " 'name': ,\n", " 'Leave\"': ,\n", " '4th': ,\n", " \"It's...\": ,\n", " 'problem??': ,\n", " 'remember': ,\n", " 'o': ,\n", " 'letters.': ,\n", " 'jean': ,\n", " 'thing.': ,\n", " 'friend?]:': ,\n", " 'am!': ,\n", " 'side...': ,\n", " 'Yet': ,\n", " 'easier': ,\n", " 'babies': ,\n", " 'You?': ,\n", " 'wedding:': ,\n", " '2.)': ,\n", " 'first...then': ,\n", " 'LA:': ,\n", " 'but,)': ,\n", " 'not,': ,\n", " 'possession': ,\n", " 'its': ,\n", " 'stop': ,\n", " 'Thanks': ,\n", " 'durin': ,\n", " 'rings': ,\n", " 'Specifics': ,\n", " 'http://www.kingsofchaos.com/recruit.php?uniqid=jm8bja2z': ,\n", " 'lace': ,\n", " 'pretended': ,\n", " 'clothes': ,\n", " 'wong': ,\n", " '38': ,\n", " 'country.': ,\n", " 'criticism': ,\n", " 'NATIONAL': ,\n", " \"that's\": ,\n", " 'conclusively': ,\n", " 'cartoons,': ,\n", " 'chest/lungs': ,\n", " 'whilst': ,\n", " \"I'm,\": ,\n", " 'Tata.': ,\n", " 'mix': ,\n", " 'popularity': ,\n", " 'park)': ,\n", " '(trampled': ,\n", " 'reminded': ,\n", " 'says.': ,\n", " 'repetition,': ,\n", " 'Size?': ,\n", " \"hm...i'm\": ,\n", " 'interesting,': ,\n", " 'exams': ,\n", " 'crusts.': ,\n", " 'filling': ,\n", " 'gets': ,\n", " 'his': ,\n", " 'Friday,': ,\n", " 'f': ,\n", " 'too!': ,\n", " 'Made': ,\n", " 'accidentally': ,\n", " '\"New': ,\n", " 'COURSE.': ,\n", " '[please': ,\n", " 'this...': ,\n", " 'soon': ,\n", " 'worry': ,\n", " 'Job]:': ,\n", " 'deal': ,\n", " 'pounding': ,\n", " '[Are': ,\n", " 'begin': ,\n", " 'isolated': ,\n", " 'anyways': ,\n", " 'garbage': ,\n", " 'awww': ,\n", " 'intelligence': ,\n", " 'being': ,\n", " 'married?]:': ,\n", " 'omg': ,\n", " '...': ,\n", " 'highlight': ,\n", " 'to': ,\n", " 'AHH': ,\n", " 'OVER!!!!!!!!!': ,\n", " 'Cried': ,\n", " 'SAYING?!?!?': ,\n", " 'olivia.': ,\n", " \"she'll\": ,\n", " 'community,': ,\n", " 'cold.': ,\n", " 'not': ,\n", " 'transcripts': ,\n", " 'promises...i': ,\n", " 'totem': ,\n", " 'naked,': ,\n", " 'hate': ,\n", " 'gas': ,\n", " 'beat': ,\n", " 'Jungle': ,\n", " 'band': ,\n", " 'ought': ,\n", " 'ishouldnt': ,\n", " 'funni': ,\n", " 'camera': ,\n", " \"Mom's\": ,\n", " 'invitations': ,\n", " 'sheets,': ,\n", " 'sony': ,\n", " 'Could': ,\n", " '\"goodness\"': ,\n", " 'commentators': ,\n", " 'learned': ,\n", " 'quit': ,\n", " \"mother's\": ,\n", " 'Hussein,': ,\n", " 'Funny,': ,\n", " 'Actually': ,\n", " 'upsetting.': ,\n", " 'ring!)': ,\n", " 'material': ,\n", " '…': ,\n", " 'kind': ,\n", " 'Moon\"': ,\n", " 'james,': ,\n", " 'regardless': ,\n", " 'WATCHED': ,\n", " 'possibly': ,\n", " 'Make': ,\n", " 'airplanes,': ,\n", " 'Exaggerated,': ,\n", " 'head,': ,\n", " 'graceful': ,\n", " 'but': ,\n", " 'low': ,\n", " 'it!!!': ,\n", " 'usual)': ,\n", " 'doing?:': ,\n", " \"wat's\": ,\n", " 'disadvantages': ,\n", " 'breaks': ,\n", " 'partner,': ,\n", " 'totally': ,\n", " 'break?!': ,\n", " 'remember,': ,\n", " 'nose.': ,\n", " '...gets': ,\n", " 'circles': ,\n", " 'list?': ,\n", " 'babble.': ,\n", " 'Those': ,\n", " 'hers,': ,\n", " 'Kucinich).': ,\n", " 'toxic,': ,\n", " 'mates.': ,\n", " 'rock!': ,\n", " 'birthday': ,\n", " 'okay-': ,\n", " 'Twenty-six': ,\n", " 'Molly': ,\n", " 'everyone.i': ,\n", " 'brought': ,\n", " 'rusty.': ,\n", " \"Let's\": ,\n", " 'soon?': ,\n", " '19.': ,\n", " 'shuffle': ,\n", " \"you're\": ,\n", " 'somehow?': ,\n", " 'naked?]:': ,\n", " '...i': ,\n", " 'friend': ,\n", " 'away;': ,\n", " 'tending': ,\n", " 'creates': ,\n", " 'certitude,': ,\n", " 'job...some': ,\n", " 'room.': ,\n", " '...will': ,\n", " 'mincing': ,\n", " 'dog/cat/bird/fish,': ,\n", " 'way,': ,\n", " 'nvm...': ,\n", " 'illness,': ,\n", " 'good.': ,\n", " 'bother??': ,\n", " 'curse': ,\n", " \"daughter's\": ,\n", " '(albeit,': ,\n", " 'okay.': ,\n", " 'boxers': ,\n", " 'Calculus,': ,\n", " 'MEAN': ,\n", " 'rosie.': ,\n", " 'hard': ,\n", " 'life...think': ,\n", " 'takes': ,\n", " 'pretty.': ,\n", " 'award': ,\n", " 'their': ,\n", " 'plainly.': ,\n", " 'noone': ,\n", " 'say...no': ,\n", " 'thats': ,\n", " 'learning': ,\n", " 'sleep': ,\n", " 'against': ,\n", " 'rubbish': ,\n", " 'years,': ,\n", " 'theatre)': ,\n", " '[Kissed': ,\n", " 'love?': ,\n", " 'Forgetting': ,\n", " 'Whoever': ,\n", " 'bacon': ,\n", " 'wishing': ,\n", " 'fantastic.': ,\n", " 'rosalie...': ,\n", " 'souned': ,\n", " 'bulbous': ,\n", " 'in-depth': ,\n", " 'proof': ,\n", " 'however,': ,\n", " 'at': ,\n", " \"you'll\": ,\n", " 'Will': ,\n", " 'Chotky': ,\n", " 'o0o!': ,\n", " 'overnight,': ,\n", " '6.': ,\n", " 'expensive': ,\n", " 'employers': ,\n", " 'especially': ,\n", " 'lives,': ,\n", " 'dumb': ,\n", " 'EVERYONE!!!': ,\n", " 'mind,': ,\n", " 'terms': ,\n", " 'deception': ,\n", " 'glad.': ,\n", " '20:': ,\n", " 'disappeared!!!!!!!!': ,\n", " 'candy:': ,\n", " 'PRODUCTIVE!!': ,\n", " 'Goals': ,\n", " 'like,': ,\n", " 'Carter': ,\n", " 'So': ,\n", " '5:': ,\n", " 'stalled.': ,\n", " 'fewer': ,\n", " 'lies': ,\n", " 'faces': ,\n", " 'im': ,\n", " 'kina': ,\n", " 'Each': ,\n", " 'know...even': ,\n", " 'thrown': ,\n", " \"can't\": ,\n", " 'close-minded.': ,\n", " 'aint': ,\n", " 'the': ,\n", " 'Ikea': ,\n", " 'trying': ,\n", " 'Coulter': ,\n", " 'cleaner,': ,\n", " 'Mix]\"': ,\n", " 'surface,': ,\n", " 'mean,': ,\n", " 'Graham),': ,\n", " 'Congress,': ,\n", " 'animals': ,\n", " 'small': ,\n", " 'steps.': ,\n", " '[relationship]': ,\n", " '[Wanted': ,\n", " 'finals...too': ,\n", " 'definitely.': ,\n", " 'I:': ,\n", " 'what...even': ,\n", " '......': ,\n", " 'lies).': ,\n", " 'longer': ,\n", " 'animals.': ,\n", " 'mindless': ,\n", " 'disappear….': ,\n", " 'places': ,\n", " 'sheets.': ,\n", " 'here.': ,\n", " 'both,': ,\n", " 'xela': ,\n", " 'creeping': ,\n", " 'dressy': ,\n", " 'melting': ,\n", " '30': ,\n", " 'Questions': ,\n", " 'indicates': ,\n", " 'guess': ,\n", " '37': ,\n", " 'strong,': ,\n", " \"I'd\": ,\n", " 'Band': ,\n", " 'portly.': ,\n", " 'dere': ,\n", " 'weeee': ,\n", " 'reason': ,\n", " 'az': ,\n", " 'pond..': ,\n", " 'anyway).': ,\n", " 'adventurous': ,\n", " 'supply': ,\n", " 'Bored': ,\n", " 'black': ,\n", " 'cambridge?': ,\n", " 'noise': ,\n", " 'Winnipeg.': ,\n", " 'There': ,\n", " 'chat': ,\n", " 'HERE': ,\n", " 'choose': ,\n", " 'morality,': ,\n", " 'favors': ,\n", " '[If': ,\n", " 'nvm,': ,\n", " 'tragedy': ,\n", " 'japanese': ,\n", " 'invite': ,\n", " 'way.': ,\n", " 'HAPPY': ,\n", " 'fierce': ,\n", " 'fools': ,\n", " 'goes': ,\n", " 'wafers': ,\n", " ':-D': ,\n", " 'feathers': ,\n", " 'still...': ,\n", " 'selene': ,\n", " 'dinner\"': ,\n", " 'EVERY': ,\n", " '(2)': ,\n", " 'hormones': ,\n", " 'singing': ,\n", " 'carry': ,\n", " 'bestfriend': ,\n", " 'AmeriCorps': ,\n", " 'tuesday': ,\n", " 'plants.': ,\n", " 'Presidential': ,\n", " 'dunno...i': ,\n", " '[few': ,\n", " 'exercise.': ,\n", " 'WITH': ,\n", " 'Figueroa': ,\n", " 'softens': ,\n", " 'true.': ,\n", " 'ballpark': ,\n", " 'sleep,': ,\n", " 'names.': ,\n", " 'you’re': ,\n", " 'price': ,\n", " 'pig': ,\n", " 'time:': ,\n", " 'Colella': ,\n", " 'gift': ,\n", " 'american': ,\n", " 'poopie': ,\n", " 'floor': ,\n", " 'talked': ,\n", " 'age': ,\n", " 'sad.': ,\n", " 'usually': ,\n", " \"i'd\": ,\n", " 'New]:': ,\n", " 'out,': ,\n", " 'Secondly,': ,\n", " 'kicked': ,\n", " 'stuff': ,\n", " 'essences': ,\n", " 'live': ,\n", " 'aditi.': ,\n", " 'prepare,': ,\n", " 'Ave': ,\n", " 'Given': ,\n", " 'C\"': ,\n", " 'touching': ,\n", " 'Jeep),': ,\n", " 'Los': ,\n", " 'wide.': ,\n", " 'though.': ,\n", " 'sometime,': ,\n", " 'had.': ,\n", " 'dreams': ,\n", " 'jobs': ,\n", " 'bike': ,\n", " 'waterfall': ,\n", " 'uhh....': ,\n", " 'strenuous': ,\n", " 'overly-perky': ,\n", " '....that': ,\n", " 'fraud': ,\n", " 'ahaha': ,\n", " 'New': ,\n", " 'shopping': ,\n", " 'extra': ,\n", " 'use.': ,\n", " 'running--while': ,\n", " \"won't\": ,\n", " 'no:': ,\n", " 'verb,': ,\n", " 'punch': ,\n", " 'tamar.': ,\n", " 'summer': ,\n", " 'got': ,\n", " 'breath,': ,\n", " 'answer': ,\n", " 'selves': ,\n", " 'everthing': ,\n", " 'nap,': ,\n", " 'CBC': ,\n", " 'argument': ,\n", " 'if': ,\n", " 'sorts': ,\n", " 'fields,': ,\n", " 'canning': ,\n", " 'worry..': ,\n", " 'curtains!': ,\n", " 'why…': ,\n", " 'fainting': ,\n", " 'ONLY': ,\n", " 'no-one': ,\n", " 'floating': ,\n", " 'messy,': ,\n", " 'third': ,\n", " 'stood,': ,\n", " 'fishing?': ,\n", " 'shall': ,\n", " 'everything': ,\n", " 'dog': ,\n", " 'semester!': ,\n", " 'hurts': ,\n", " 'blab': ,\n", " 'Cyan425:': ,\n", " 'kid': ,\n", " 'Rumsfeld': ,\n", " 'be:': ,\n", " 'character': ,\n", " 'too;': ,\n", " 'cheese.': ,\n", " 'showin': ,\n", " 'DiFranco.': ,\n", " 'weeks.': ,\n", " 'authorized': ,\n", " 'Or': ,\n", " 'easier.': ,\n", " 'deserve': ,\n", " 'reads': ,\n", " 'beautiful': ,\n", " 'avril': ,\n", " 'days.': ,\n", " '\"can': ,\n", " 'player:': ,\n", " 'american??': ,\n", " 'Michelle': ,\n", " 'confusing,': ,\n", " 'YoUr': ,\n", " 'away...': ,\n", " 'handed': ,\n", " 'casual': ,\n", " 'colorful': ,\n", " 'lives.': ,\n", " 'selfishness...busying': ,\n", " 'shakes': ,\n", " 'workouts.': ,\n", " 'upon': ,\n", " 'BACK': ,\n", " 'Radio': ,\n", " '\"Truly,': ,\n", " 'lord': ,\n", " 'Opening': ,\n", " 'counts?': ,\n", " 'sorry?': ,\n", " 'His': ,\n", " 'article': ,\n", " '(Dear': ,\n", " 'FAITH': ,\n", " 'Girl**': ,\n", " 'school': ,\n", " 'hheeh.': ,\n", " 'done,': ,\n", " 'foot': ,\n", " 'change...ppl': ,\n", " 'lungs': ,\n", " \"didn't\": ,\n", " ']': ,\n", " 'summer.': ,\n", " 'side,': ,\n", " 'this': ,\n", " 'step': ,\n", " 'sloth': ,\n", " 'essences,': ,\n", " 'spice': ,\n", " 'Interesting:': ,\n", " 'survive': ,\n", " 'intelligence\"': ,\n", " 'cliff': ,\n", " 'dragging': ,\n", " 'Worst': ,\n", " '\"L\"': ,\n", " 'columnists': ,\n", " 'shopping.': ,\n", " 'have...satisfied': ,\n", " 'lie.': ,\n", " 'flying': ,\n", " 'perhaps': ,\n", " 'myself..': ,\n", " 'thing.)': ,\n", " 'shattered': ,\n", " 'ACL': ,\n", " 'dressed,': ,\n", " 'someone...and': ,\n", " 'Random': ,\n", " 'painful': ,\n", " 'Florida?]:': ,\n", " 'Gulf': ,\n", " 'stupid': ,\n", " 'kneecap': ,\n", " '26th': ,\n", " 'recently': ,\n", " 'Eye': ,\n", " 'Insecure:': ,\n", " 'Organized:': ,\n", " 'school...*sigh*': ,\n", " 'shoulders': ,\n", " 'MoO': ,\n", " 'following': ,\n", " 'on,': ,\n", " 'pollution,': ,\n", " 'rosalie': ,\n", " 'law': ,\n", " 'norway,': ,\n", " 'have]': ,\n", " '...cheers': ,\n", " 'DrAmA': ,\n", " 'searching': ,\n", " 'people!': ,\n", " 'fun!': ,\n", " 'Yellowcard': ,\n", " 'terminally': ,\n", " 'right.': ,\n", " 'feet': ,\n", " 'person.': ,\n", " \"they're\": ,\n", " 'Opposition': ,\n", " \"veterans'\": ,\n", " 'Quiz': ,\n", " 'lying,': ,\n", " '7.': ,\n", " 'mention': ,\n", " 'weirdest': ,\n", " '\"Stay': ,\n", " 'rear': ,\n", " 'clairol': ,\n", " 'nvm': ,\n", " 'minute': ,\n", " 'getting': ,\n", " 'prefer': ,\n", " 'open': ,\n", " 'feeble': ,\n", " 'October': ,\n", " 'LIKE': ,\n", " 'do': ,\n", " 'amount': ,\n", " 'gerbils': ,\n", " 'nasty': ,\n", " 'Responsible:': ,\n", " 'America.': ,\n", " '\"I\\'d': ,\n", " 'game': ,\n", " 'behind\"': ,\n", " 'Free': ,\n", " '6:30.': ,\n", " 'doom,': ,\n", " 'family,': ,\n", " 'odd': ,\n", " 'bio': ,\n", " 'going...': ,\n", " 'post-its,': ,\n", " 'teachers': ,\n", " 'Time': ,\n", " '11:10': ,\n", " 'orchestra...': ,\n", " 'jacket': ,\n", " 'Talkative:': ,\n", " 'left-middle': ,\n", " 'radical': ,\n", " 'forever.': ,\n", " 'Guess': ,\n", " 'them,': ,\n", " 'normal,': ,\n", " \"lavigne's\": ,\n", " 'places.': ,\n", " 'laugh': ,\n", " 'vik': ,\n", " 'yet...or': ,\n", " 'night..': ,\n", " 'states': ,\n", " 'done)': ,\n", " 'excuses': ,\n", " 'treason.': ,\n", " 'Gold': ,\n", " 'words?': ,\n", " 'fall': ,\n", " 'online': ,\n", " 'lips,': ,\n", " 'PLEAAAASSSSSSEEEEEEE': ,\n", " 'God': ,\n", " 'b/c': ,\n", " 'worst': ,\n", " 'cancelling': ,\n", " 'by': ,\n", " 'BS': ,\n", " 'bugs': ,\n", " 'succumb': ,\n", " 'baby...': ,\n", " 'seems': ,\n", " 'color(s):': ,\n", " 'Washington-based': ,\n", " 'support': ,\n", " 'never)': ,\n", " 'afternoon': ,\n", " 'sprints.': ,\n", " 'tank': ,\n", " 'center': ,\n", " 'repetition': ,\n", " 'loneliness': ,\n", " '\"Fast': ,\n", " 'UNDERWORLD': ,\n", " '(hmm,': ,\n", " 'shoes.': ,\n", " '(chocolate': ,\n", " 'THE': ,\n", " 'bakin': ,\n", " 'those': ,\n", " 'post...my': ,\n", " 'about.': ,\n", " 'helped': ,\n", " 'hit': ,\n", " 'unlike': ,\n", " 'comments,': ,\n", " 'yellow.': ,\n", " 'youll': ,\n", " 'Finally': ,\n", " 'David': ,\n", " 'cover': ,\n", " 'Colin': ,\n", " 'complain': ,\n", " 'sometime': ,\n", " 'shore,': ,\n", " 'be?]:': ,\n", " 'lee': ,\n", " 'Lonely': ,\n", " 'starred': ,\n", " 'sumtin': ,\n", " 'tints?': ,\n", " 'homework': ,\n", " 'towers': ,\n", " 'saddest': ,\n", " 'Garden,': ,\n", " 'green,': ,\n", " 'you:': ,\n", " 'sex?': ,\n", " 'black,': ,\n", " 'feasible,': ,\n", " 'YOU...': ,\n", " 'trouble?': ,\n", " 'me...appreciative': ,\n", " 'learner': ,\n", " 'hours': ,\n", " 'feast': ,\n", " 'again!': ,\n", " 'tip': ,\n", " 'You...': ,\n", " 'KNOW': ,\n", " 'purple': ,\n", " 'Dreams': ,\n", " 'here': ,\n", " 'accused': ,\n", " 'since': ,\n", " 'HATE': ,\n", " 'walk': ,\n", " 'outta': ,\n", " 'yet,': ,\n", " \"other...we're\": ,\n", " 'look': ,\n", " ':-/': ,\n", " 'yet': ,\n", " 'background': ,\n", " 'is.': ,\n", " 'now...': ,\n", " 'grow': ,\n", " 'dough': ,\n", " 'government,': ,\n", " 'okie...that': ,\n", " 'plan': ,\n", " 'ummm...': ,\n", " 'king....': ,\n", " 'Marianne': ,\n", " 'until': ,\n", " 'mashed': ,\n", " 'rain': ,\n", " 'freshman': ,\n", " 'calls': ,\n", " \"us...we're\": ,\n", " 'Soviet': ,\n", " 'gears,': ,\n", " 'knife': ,\n", " 'Floods,': ,\n", " '(and': ,\n", " 'America': ,\n", " 'shi,': ,\n", " 'considering': ,\n", " 'committed': ,\n", " 'situation,': ,\n", " 'stole': ,\n", " 'brushing': ,\n", " 'happily': ,\n", " 'hand': ,\n", " 'problem': ,\n", " 'us': ,\n", " 'color': ,\n", " 'barely': ,\n", " '2:': ,\n", " 'repetition.': ,\n", " 'ready': ,\n", " 'everynight,': ,\n", " 'brownies': ,\n", " 'freaked': ,\n", " 'medium.': ,\n", " 'IS': ,\n", " 'helps': ,\n", " 'sophie?': ,\n", " '\"Trust': ,\n", " 'Now,': ,\n", " 'tact': ,\n", " 'needs': ,\n", " 'uniter,': ,\n", " 'He': ,\n", " 'family)': ,\n", " 'again...or': ,\n", " 'hearts': ,\n", " 'react': ,\n", " 'Flogging': ,\n", " 'running,': ,\n", " 'razors': ,\n", " 'rarely': ,\n", " 'daunted:': ,\n", " 'very': ,\n", " 'around': ,\n", " 'except': ,\n", " 'war,\"': ,\n", " 'become': ,\n", " 'know,,,': ,\n", " 'asleep': ,\n", " 'sad...that': ,\n", " 'of,': ,\n", " 'week,': ,\n", " 'SATs...fuun...sux...but': ,\n", " '...[should': ,\n", " 'dropped': ,\n", " 'sure,': ,\n", " 'cool.': ,\n", " 'jetlag': ,\n", " 'fit.': ,\n", " 'Arrogant:': ,\n", " 'now?]:': ,\n", " 'objectives': ,\n", " 'me...they': ,\n", " 'call': ,\n", " 'Today': ,\n", " 'checking': ,\n", " 'tried': ,\n", " 'old,': ,\n", " 'glasses': ,\n", " 'bill': ,\n", " 'fourth,': ,\n", " 'better': ,\n", " 'ground': ,\n", " 'More': ,\n", " 'gameroom': ,\n", " 'above': ,\n", " 'eventful.': ,\n", " 'happen': ,\n", " 'Lazy': ,\n", " 'license': ,\n", " 'bleating': ,\n", " 'start.': ,\n", " 'will': ,\n", " '?': ,\n", " 'napping': ,\n", " 'Better?': ,\n", " 'linoleum': ,\n", " 'SOMETHING!': ,\n", " 'sophie': ,\n", " 'reacts,': ,\n", " 'Car\"': ,\n", " 'extinct.': ,\n", " 'knowin': ,\n", " 'looks': ,\n", " 'alex!': ,\n", " 'analyze': ,\n", " 'internet': ,\n", " 'am,': ,\n", " \"I'll\": ,\n", " 'go:': ,\n", " 'hardest': ,\n", " 'bed:': ,\n", " 'tower!!': ,\n", " '(analyze': ,\n", " 'Rice': ,\n", " 'bravest': ,\n", " ...}" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "w2v.vocab" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.082851942583535218" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "w2v.similarity('I', 'My')" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "I've tried starting blog after blog and it just never feels right. Then I read today that it feels strange to most people, but the more you do it the better it gets (hmm, sounds suspiciously like something else!) so I decided to give it another try. My husband bought me a notepad at urlLink McNally (the best bookstore in Western Canada) with that title and a picture of a 50s housewife grinning desperately. Each page has something funny like \"New curtains! Hurrah!\". For some reason it struck me as absolutely hilarious and has stuck in my head ever since. What were those women thinking?\n" ] }, { "data": { "text/plain": [ "0.037229111896779618" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "print(posts[5])\n", "w2v.similarity('ring', 'husband')" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.11547398696865138" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "w2v.similarity('ring', 'housewife')" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "-0.14627530812290576" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "w2v.similarity('women', 'housewife') # Diversity friendly" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Doc2Vec\n", "\n", "The same technique of word2vec is extrapolated to documents. Here, we do everything done in word2vec + we vectorize the documents too" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import numpy as np" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# 0 for male, 1 for female\n", "y_posts = np.concatenate((np.zeros(len(filtered_male_posts)),\n", " np.ones(len(filtered_female_posts))))" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "4842" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(y_posts)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Convolutional Neural Networks for Sentence Classification" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Train convolutional network for sentiment analysis. Based on\n", "\"Convolutional Neural Networks for Sentence Classification\" by Yoon Kim\n", "http://arxiv.org/pdf/1408.5882v2.pdf\n", "\n", "For 'CNN-non-static' gets to 82.1% after 61 epochs with following settings:\n", "embedding_dim = 20 \n", "filter_sizes = (3, 4)\n", "num_filters = 3\n", "dropout_prob = (0.7, 0.8)\n", "hidden_dims = 100\n", "\n", "For 'CNN-rand' gets to 78-79% after 7-8 epochs with following settings:\n", "embedding_dim = 20 \n", "filter_sizes = (3, 4)\n", "num_filters = 150\n", "dropout_prob = (0.25, 0.5)\n", "hidden_dims = 150\n", "\n", "For 'CNN-static' gets to 75.4% after 7 epochs with following settings:\n", "embedding_dim = 100 \n", "filter_sizes = (3, 4)\n", "num_filters = 150\n", "dropout_prob = (0.25, 0.5)\n", "hidden_dims = 150\n", "\n", "* it turns out that such a small data set as \"Movie reviews with one\n", "sentence per review\" (Pang and Lee, 2005) requires much smaller network\n", "than the one introduced in the original article:\n", "- embedding dimension is only 20 (instead of 300; 'CNN-static' still requires ~100)\n", "- 2 filter sizes (instead of 3)\n", "- higher dropout probabilities and\n", "- 3 filters per filter size is enough for 'CNN-non-static' (instead of 100)\n", "- embedding initialization does not require prebuilt Google Word2Vec data.\n", "Training Word2Vec on the same \"Movie reviews\" data set is enough to \n", "achieve performance reported in the article (81.6%)\n", "\n", "** Another distinct difference is slidind MaxPooling window of length=2\n", "instead of MaxPooling over whole feature map as in the article" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Using gpu device 0: GeForce GTX 760 (CNMeM is enabled with initial size: 90.0% of memory, cuDNN 4007)\n", "Using Theano backend.\n" ] } ], "source": [ "import numpy as np\n", "import data_helpers\n", "from w2v import train_word2vec\n", "\n", "from keras.models import Sequential, Model\n", "from keras.layers import (Activation, Dense, Dropout, Embedding, \n", " Flatten, Input, Merge, \n", " Convolution1D, MaxPooling1D)\n", "\n", "np.random.seed(2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Parameters\n", "\n", "Model Variations. See Kim Yoon's Convolutional Neural Networks for \n", "Sentence Classification, Section 3 for detail." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Model variation is CNN-rand\n" ] } ], "source": [ "model_variation = 'CNN-rand' # CNN-rand | CNN-non-static | CNN-static\n", "print('Model variation is %s' % model_variation)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Model Hyperparameters\n", "sequence_length = 56\n", "embedding_dim = 20 \n", "filter_sizes = (3, 4)\n", "num_filters = 150\n", "dropout_prob = (0.25, 0.5)\n", "hidden_dims = 150" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Training parameters\n", "batch_size = 32\n", "num_epochs = 100\n", "val_split = 0.1" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Word2Vec parameters, see train_word2vec\n", "min_word_count = 1 # Minimum word count \n", "context = 10 # Context window size " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Data Preparation " ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loading data...\n" ] } ], "source": [ "# Load data\n", "print(\"Loading data...\")\n", "x, y, vocabulary, vocabulary_inv = data_helpers.load_data()\n", "\n", "if model_variation=='CNN-non-static' or model_variation=='CNN-static':\n", " embedding_weights = train_word2vec(x, vocabulary_inv, \n", " embedding_dim, min_word_count, \n", " context)\n", " if model_variation=='CNN-static':\n", " x = embedding_weights[0][x]\n", "elif model_variation=='CNN-rand':\n", " embedding_weights = None\n", "else:\n", " raise ValueError('Unknown model variation') " ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Shuffle data\n", "shuffle_indices = np.random.permutation(np.arange(len(y)))\n", "x_shuffled = x[shuffle_indices]\n", "y_shuffled = y[shuffle_indices].argmax(axis=1)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Vocabulary Size: 18765\n" ] } ], "source": [ "print(\"Vocabulary Size: {:d}\".format(len(vocabulary)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Building CNN Model" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "graph_in = Input(shape=(sequence_length, embedding_dim))\n", "convs = []\n", "for fsz in filter_sizes:\n", " conv = Convolution1D(nb_filter=num_filters,\n", " filter_length=fsz,\n", " border_mode='valid',\n", " activation='relu',\n", " subsample_length=1)(graph_in)\n", " pool = MaxPooling1D(pool_length=2)(conv)\n", " flatten = Flatten()(pool)\n", " convs.append(flatten)\n", " \n", "if len(filter_sizes)>1:\n", " out = Merge(mode='concat')(convs)\n", "else:\n", " out = convs[0]\n", "\n", "graph = Model(input=graph_in, output=out)\n", "\n", "# main sequential model\n", "model = Sequential()\n", "if not model_variation=='CNN-static':\n", " model.add(Embedding(len(vocabulary), embedding_dim, input_length=sequence_length,\n", " weights=embedding_weights))\n", "model.add(Dropout(dropout_prob[0], input_shape=(sequence_length, embedding_dim)))\n", "model.add(graph)\n", "model.add(Dense(hidden_dims))\n", "model.add(Dropout(dropout_prob[1]))\n", "model.add(Activation('relu'))\n", "model.add(Dense(1))\n", "model.add(Activation('sigmoid'))" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Train on 9595 samples, validate on 1067 samples\n", "Epoch 1/100\n", "1s - loss: 0.6516 - acc: 0.6005 - val_loss: 0.5692 - val_acc: 0.7151\n", "Epoch 2/100\n", "1s - loss: 0.4556 - acc: 0.7896 - val_loss: 0.5154 - val_acc: 0.7573\n", "Epoch 3/100\n", "1s - loss: 0.3556 - acc: 0.8532 - val_loss: 0.5050 - val_acc: 0.7816\n", "Epoch 4/100\n", "1s - loss: 0.2978 - acc: 0.8779 - val_loss: 0.5335 - val_acc: 0.7901\n", "Epoch 5/100\n", "1s - loss: 0.2599 - acc: 0.8972 - val_loss: 0.5592 - val_acc: 0.7769\n", "Epoch 6/100\n", "1s - loss: 0.2248 - acc: 0.9112 - val_loss: 0.5559 - val_acc: 0.7685\n", "Epoch 7/100\n", "1s - loss: 0.1994 - acc: 0.9219 - val_loss: 0.5760 - val_acc: 0.7704\n", "Epoch 8/100\n", "1s - loss: 0.1801 - acc: 0.9326 - val_loss: 0.6014 - val_acc: 0.7788\n", "Epoch 9/100\n", "1s - loss: 0.1472 - acc: 0.9449 - val_loss: 0.6637 - val_acc: 0.7751\n", "Epoch 10/100\n", "1s - loss: 0.1269 - acc: 0.9537 - val_loss: 0.7281 - val_acc: 0.7563\n", "Epoch 11/100\n", "1s - loss: 0.1123 - acc: 0.9592 - val_loss: 0.7452 - val_acc: 0.7788\n", "Epoch 12/100\n", "1s - loss: 0.0897 - acc: 0.9658 - val_loss: 0.8504 - val_acc: 0.7591\n", "Epoch 13/100\n", "1s - loss: 0.0811 - acc: 0.9723 - val_loss: 0.8935 - val_acc: 0.7573\n", "Epoch 14/100\n", "1s - loss: 0.0651 - acc: 0.9764 - val_loss: 0.8738 - val_acc: 0.7685\n", "Epoch 15/100\n", "1s - loss: 0.0540 - acc: 0.9809 - val_loss: 0.9407 - val_acc: 0.7648\n", "Epoch 16/100\n", "1s - loss: 0.0408 - acc: 0.9857 - val_loss: 1.1880 - val_acc: 0.7638\n", "Epoch 17/100\n", "1s - loss: 0.0341 - acc: 0.9886 - val_loss: 1.2878 - val_acc: 0.7638\n", "Epoch 18/100\n", "1s - loss: 0.0306 - acc: 0.9901 - val_loss: 1.4448 - val_acc: 0.7573\n", "Epoch 19/100\n", "1s - loss: 0.0276 - acc: 0.9917 - val_loss: 1.5300 - val_acc: 0.7591\n", "Epoch 20/100\n", "1s - loss: 0.0249 - acc: 0.9917 - val_loss: 1.4825 - val_acc: 0.7666\n", "Epoch 21/100\n", "1s - loss: 0.0220 - acc: 0.9937 - val_loss: 1.4357 - val_acc: 0.7601\n", "Epoch 22/100\n", "1s - loss: 0.0188 - acc: 0.9945 - val_loss: 1.4081 - val_acc: 0.7657\n", "Epoch 23/100\n", "1s - loss: 0.0182 - acc: 0.9954 - val_loss: 1.7145 - val_acc: 0.7610\n", "Epoch 24/100\n", "1s - loss: 0.0129 - acc: 0.9964 - val_loss: 1.7047 - val_acc: 0.7704\n", "Epoch 25/100\n", "1s - loss: 0.0064 - acc: 0.9981 - val_loss: 1.9119 - val_acc: 0.7629\n", "Epoch 26/100\n", "1s - loss: 0.0108 - acc: 0.9969 - val_loss: 1.8306 - val_acc: 0.7704\n", "Epoch 27/100\n", "1s - loss: 0.0105 - acc: 0.9973 - val_loss: 1.9624 - val_acc: 0.7619\n", "Epoch 28/100\n", "1s - loss: 0.0112 - acc: 0.9973 - val_loss: 1.8552 - val_acc: 0.7694\n", "Epoch 29/100\n", "1s - loss: 0.0110 - acc: 0.9968 - val_loss: 1.8585 - val_acc: 0.7657\n", "Epoch 30/100\n", "1s - loss: 0.0071 - acc: 0.9983 - val_loss: 2.0571 - val_acc: 0.7694\n", "Epoch 31/100\n", "1s - loss: 0.0089 - acc: 0.9975 - val_loss: 2.0361 - val_acc: 0.7629\n", "Epoch 32/100\n", "1s - loss: 0.0074 - acc: 0.9978 - val_loss: 2.0010 - val_acc: 0.7648\n", "Epoch 33/100\n", "1s - loss: 0.0074 - acc: 0.9981 - val_loss: 2.0995 - val_acc: 0.7498\n", "Epoch 34/100\n", "1s - loss: 0.0125 - acc: 0.9971 - val_loss: 2.2003 - val_acc: 0.7610\n", "Epoch 35/100\n", "1s - loss: 0.0074 - acc: 0.9981 - val_loss: 2.1526 - val_acc: 0.7582\n", "Epoch 36/100\n", "1s - loss: 0.0068 - acc: 0.9984 - val_loss: 2.1754 - val_acc: 0.7648\n", "Epoch 37/100\n", "1s - loss: 0.0065 - acc: 0.9979 - val_loss: 2.0810 - val_acc: 0.7498\n", "Epoch 38/100\n", "1s - loss: 0.0078 - acc: 0.9980 - val_loss: 2.3443 - val_acc: 0.7460\n", "Epoch 39/100\n", "1s - loss: 0.0038 - acc: 0.9991 - val_loss: 2.1696 - val_acc: 0.7629\n", "Epoch 40/100\n", "1s - loss: 0.0062 - acc: 0.9985 - val_loss: 2.2752 - val_acc: 0.7545\n", "Epoch 41/100\n", "1s - loss: 0.0044 - acc: 0.9985 - val_loss: 2.3457 - val_acc: 0.7535\n", "Epoch 42/100\n", "1s - loss: 0.0066 - acc: 0.9985 - val_loss: 2.1172 - val_acc: 0.7629\n", "Epoch 43/100\n", "1s - loss: 0.0052 - acc: 0.9987 - val_loss: 2.3550 - val_acc: 0.7619\n", "Epoch 44/100\n", "1s - loss: 0.0024 - acc: 0.9993 - val_loss: 2.3832 - val_acc: 0.7610\n", "Epoch 45/100\n", "1s - loss: 0.0042 - acc: 0.9989 - val_loss: 2.4242 - val_acc: 0.7648\n", "Epoch 46/100\n", "1s - loss: 0.0048 - acc: 0.9990 - val_loss: 2.4529 - val_acc: 0.7563\n", "Epoch 47/100\n", "1s - loss: 0.0036 - acc: 0.9994 - val_loss: 2.8412 - val_acc: 0.7282\n", "Epoch 48/100\n", "1s - loss: 0.0037 - acc: 0.9991 - val_loss: 2.4515 - val_acc: 0.7619\n", "Epoch 49/100\n", "1s - loss: 0.0031 - acc: 0.9991 - val_loss: 2.4849 - val_acc: 0.7676\n", "Epoch 50/100\n", "1s - loss: 0.0078 - acc: 0.9990 - val_loss: 2.5083 - val_acc: 0.7563\n", "Epoch 51/100\n", "1s - loss: 0.0105 - acc: 0.9981 - val_loss: 2.3538 - val_acc: 0.7601\n", "Epoch 52/100\n", "1s - loss: 0.0076 - acc: 0.9986 - val_loss: 2.4405 - val_acc: 0.7685\n", "Epoch 53/100\n", "1s - loss: 0.0043 - acc: 0.9991 - val_loss: 2.5753 - val_acc: 0.7591\n", "Epoch 54/100\n", "1s - loss: 0.0044 - acc: 0.9989 - val_loss: 2.5550 - val_acc: 0.7582\n", "Epoch 55/100\n", "1s - loss: 0.0034 - acc: 0.9994 - val_loss: 2.6361 - val_acc: 0.7591\n", "Epoch 56/100\n", "1s - loss: 0.0041 - acc: 0.9994 - val_loss: 2.6753 - val_acc: 0.7563\n", "Epoch 57/100\n", "1s - loss: 0.0042 - acc: 0.9990 - val_loss: 2.6464 - val_acc: 0.7601\n", "Epoch 58/100\n", "1s - loss: 0.0037 - acc: 0.9992 - val_loss: 2.6616 - val_acc: 0.7582\n", "Epoch 59/100\n", "1s - loss: 0.0060 - acc: 0.9990 - val_loss: 2.6052 - val_acc: 0.7619\n", "Epoch 60/100\n", "1s - loss: 0.0051 - acc: 0.9990 - val_loss: 2.7033 - val_acc: 0.7498\n", "Epoch 61/100\n", "1s - loss: 0.0034 - acc: 0.9994 - val_loss: 2.7142 - val_acc: 0.7526\n", "Epoch 62/100\n", "1s - loss: 0.0047 - acc: 0.9994 - val_loss: 2.7656 - val_acc: 0.7591\n", "Epoch 63/100\n", "1s - loss: 0.0083 - acc: 0.9990 - val_loss: 2.7971 - val_acc: 0.7526\n", "Epoch 64/100\n", "1s - loss: 0.0046 - acc: 0.9992 - val_loss: 2.6585 - val_acc: 0.7545\n", "Epoch 65/100\n", "1s - loss: 0.0062 - acc: 0.9989 - val_loss: 2.6194 - val_acc: 0.7535\n", "Epoch 66/100\n", "1s - loss: 0.0062 - acc: 0.9993 - val_loss: 2.6255 - val_acc: 0.7694\n", "Epoch 67/100\n", "1s - loss: 0.0036 - acc: 0.9990 - val_loss: 2.6384 - val_acc: 0.7582\n", "Epoch 68/100\n", "1s - loss: 0.0066 - acc: 0.9991 - val_loss: 2.6743 - val_acc: 0.7648\n", "Epoch 69/100\n", "1s - loss: 0.0030 - acc: 0.9995 - val_loss: 2.8236 - val_acc: 0.7535\n", "Epoch 70/100\n", "1s - loss: 0.0048 - acc: 0.9993 - val_loss: 2.7829 - val_acc: 0.7610\n", "Epoch 71/100\n", "1s - loss: 0.0062 - acc: 0.9990 - val_loss: 2.6402 - val_acc: 0.7573\n", "Epoch 72/100\n", "1s - loss: 0.0037 - acc: 0.9992 - val_loss: 2.9089 - val_acc: 0.7526\n", "Epoch 73/100\n", "1s - loss: 0.0069 - acc: 0.9985 - val_loss: 2.7071 - val_acc: 0.7535\n", "Epoch 74/100\n", "1s - loss: 0.0033 - acc: 0.9995 - val_loss: 2.6727 - val_acc: 0.7601\n", "Epoch 75/100\n", "1s - loss: 0.0069 - acc: 0.9990 - val_loss: 2.6967 - val_acc: 0.7601\n", "Epoch 76/100\n", "1s - loss: 0.0089 - acc: 0.9989 - val_loss: 2.7479 - val_acc: 0.7666\n", "Epoch 77/100\n", "1s - loss: 0.0046 - acc: 0.9994 - val_loss: 2.7192 - val_acc: 0.7629\n", "Epoch 78/100\n", "1s - loss: 0.0069 - acc: 0.9989 - val_loss: 2.7173 - val_acc: 0.7629\n", "Epoch 79/100\n", "1s - loss: 8.6550e-04 - acc: 0.9998 - val_loss: 2.7283 - val_acc: 0.7601\n", "Epoch 80/100\n", "1s - loss: 0.0011 - acc: 0.9995 - val_loss: 2.8405 - val_acc: 0.7629\n", "Epoch 81/100\n", "1s - loss: 0.0040 - acc: 0.9994 - val_loss: 2.8725 - val_acc: 0.7619\n", "Epoch 82/100\n", "1s - loss: 0.0055 - acc: 0.9992 - val_loss: 2.8490 - val_acc: 0.7601\n", "Epoch 83/100\n", "1s - loss: 0.0059 - acc: 0.9989 - val_loss: 2.7838 - val_acc: 0.7545\n", "Epoch 84/100\n", "1s - loss: 0.0054 - acc: 0.9994 - val_loss: 2.8706 - val_acc: 0.7526\n", "Epoch 85/100\n", "1s - loss: 0.0060 - acc: 0.9992 - val_loss: 2.9374 - val_acc: 0.7516\n", "Epoch 86/100\n", "1s - loss: 0.0087 - acc: 0.9982 - val_loss: 2.7966 - val_acc: 0.7573\n", "Epoch 87/100\n", "1s - loss: 0.0084 - acc: 0.9991 - val_loss: 2.8620 - val_acc: 0.7619\n", "Epoch 88/100\n", "1s - loss: 0.0053 - acc: 0.9990 - val_loss: 2.8450 - val_acc: 0.7601\n", "Epoch 89/100\n", "1s - loss: 0.0054 - acc: 0.9990 - val_loss: 2.8303 - val_acc: 0.7629\n", "Epoch 90/100\n", "1s - loss: 0.0073 - acc: 0.9991 - val_loss: 2.8474 - val_acc: 0.7657\n", "Epoch 91/100\n", "1s - loss: 0.0037 - acc: 0.9994 - val_loss: 3.0151 - val_acc: 0.7432\n", "Epoch 92/100\n", "1s - loss: 0.0017 - acc: 0.9999 - val_loss: 2.9555 - val_acc: 0.7582\n", "Epoch 93/100\n", "1s - loss: 0.0080 - acc: 0.9991 - val_loss: 2.9178 - val_acc: 0.7554\n", "Epoch 94/100\n", "1s - loss: 0.0078 - acc: 0.9991 - val_loss: 2.8724 - val_acc: 0.7582\n", "Epoch 95/100\n", "1s - loss: 0.0012 - acc: 0.9997 - val_loss: 2.9582 - val_acc: 0.7545\n", "Epoch 96/100\n", "1s - loss: 0.0058 - acc: 0.9989 - val_loss: 2.8944 - val_acc: 0.7479\n", "Epoch 97/100\n", "1s - loss: 0.0094 - acc: 0.9985 - val_loss: 2.7146 - val_acc: 0.7516\n", "Epoch 98/100\n", "1s - loss: 0.0044 - acc: 0.9993 - val_loss: 2.9052 - val_acc: 0.7498\n", "Epoch 99/100\n", "1s - loss: 0.0030 - acc: 0.9995 - val_loss: 3.1474 - val_acc: 0.7470\n", "Epoch 100/100\n", "1s - loss: 0.0051 - acc: 0.9990 - val_loss: 3.1746 - val_acc: 0.7451\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.compile(loss='binary_crossentropy', optimizer='rmsprop', \n", " metrics=['accuracy'])\n", "\n", "# Training model\n", "# ==================================================\n", "model.fit(x_shuffled, y_shuffled, batch_size=batch_size,\n", " nb_epoch=num_epochs, validation_split=val_split, verbose=2)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "# Another Example\n", "\n", "Using Keras + [**GloVe**](http://nlp.stanford.edu/projects/glove/) - **Global Vectors for Word Representation**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Using pre-trained word embeddings in a Keras model\n", "\n", "**Reference:** [https://blog.keras.io/using-pre-trained-word-embeddings-in-a-keras-model.html]()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.4.3" } }, "nbformat": 4, "nbformat_minor": 0 }