{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Analysing Machine Learning Models with Yellowbrick\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Model Selection Process\n",
"\n",
"* selecting and/or engineering the smallest and most predictive feature set\n",
"* choosing a set of algorithms from a model family\n",
"* tuning the algorithm hyperparameters to optimize performance"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Installation"
]
},
{
"cell_type": "code",
"execution_count": 360,
"metadata": {},
"outputs": [],
"source": [
"#via pip\n",
"#!pip install yellowbrick\n",
"#via conda\n",
"#!conda install -c districtdatalabs yellowbrick"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Import libraries"
]
},
{
"cell_type": "code",
"execution_count": 336,
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"\n",
"#Suppressing warnings\n",
"import warnings\n",
"warnings.filterwarnings('ignore')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Data set"
]
},
{
"cell_type": "code",
"execution_count": 337,
"metadata": {},
"outputs": [],
"source": [
"df = pd.read_csv('data/occupancy/occupancy.csv')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A first look at data"
]
},
{
"cell_type": "code",
"execution_count": 338,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
datetime
\n",
"
temperature
\n",
"
relative humidity
\n",
"
light
\n",
"
C02
\n",
"
humidity
\n",
"
occupancy
\n",
"
\n",
" \n",
" \n",
"
\n",
"
0
\n",
"
2015-02-04 17:51:00
\n",
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23.18
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27.2720
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426.0
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721.25
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0.004793
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1
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\n",
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\n",
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1
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2015-02-04 17:51:59
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23.15
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27.2675
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429.5
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714.00
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0.004783
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1
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\n",
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2
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2015-02-04 17:53:00
\n",
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23.15
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27.2450
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426.0
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713.50
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0.004779
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1
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3
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2015-02-04 17:54:00
\n",
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23.15
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27.2000
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426.0
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708.25
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0.004772
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1
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\n",
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\n",
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4
\n",
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2015-02-04 17:55:00
\n",
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23.10
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27.2000
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426.0
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704.50
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0.004757
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1
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\n",
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\n",
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"text/plain": [
" datetime temperature relative humidity light C02 \\\n",
"0 2015-02-04 17:51:00 23.18 27.2720 426.0 721.25 \n",
"1 2015-02-04 17:51:59 23.15 27.2675 429.5 714.00 \n",
"2 2015-02-04 17:53:00 23.15 27.2450 426.0 713.50 \n",
"3 2015-02-04 17:54:00 23.15 27.2000 426.0 708.25 \n",
"4 2015-02-04 17:55:00 23.10 27.2000 426.0 704.50 \n",
"\n",
" humidity occupancy \n",
"0 0.004793 1 \n",
"1 0.004783 1 \n",
"2 0.004779 1 \n",
"3 0.004772 1 \n",
"4 0.004757 1 "
]
},
"execution_count": 338,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Specifying the feature and target column"
]
},
{
"cell_type": "code",
"execution_count": 340,
"metadata": {},
"outputs": [],
"source": [
"\n",
"feature_names = [\n",
" 'temperature', 'relative humidity', 'light', 'C02',\n",
" 'humidity',\n",
" ]\n",
"\n",
"target_name = 'occupancy'\n",
"\n",
"X = df[feature_names]\n",
"y = df[target_name]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Feature Analysis"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Rank 1D"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A one dimensional ranking of features utilizes a ranking algorithm that takes into account only a single feature at a time (e.g. histogram analysis). By default we utilize the Shapiro-Wilk algorithm to assess the normality of the distribution of instances with respect to the feature. A barplot is then drawn showing the relative ranks of each feature."
]
},
{
"cell_type": "code",
"execution_count": 341,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"from yellowbrick.features import Rank1D\n",
"\n",
"# Instantiate the 1D visualizer with the Sharpiro ranking algorithm\n",
"visualizer = Rank1D(features=feature_names, algorithm='shapiro')\n",
"\n",
"visualizer.fit(X, y) # Fit the data to the visualizer\n",
"visualizer.transform(X) # Transform the data\n",
"visualizer.poof() # Draw/show/poof the data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Rank 2D\n",
"Use Rank2D for pairwise feature\n",
"analysis, find strong correlations\n",
"\n",
"● Feature engineering requires\n",
"understanding of the relationships\n",
"between features\n",
"\n",
"● Visualize pairwise relationships as\n",
"a heatmap\n",
"\n",
"● Pearson shows us strong\n",
"correlations, potential collinearity\n",
"\n",
"● Covariance helps us understand\n",
"the sequence of relationships"
]
},
{
"cell_type": "code",
"execution_count": 342,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"from yellowbrick.features import Rank2D \n",
"\n",
"# Instantiate the visualizer with the Pearson ranking algorithm\n",
"visualizer = Rank2D(features=feature_names, algorithm='pearson')\n",
"\n",
"visualizer.fit(X, y) # Fit the data to the visualizer\n",
"visualizer.transform(X) # Transform the data\n",
"visualizer.poof() # Draw/show/poof the data"
]
},
{
"cell_type": "code",
"execution_count": 361,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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YxduB1SJiO+AY4Cs167cCdo6IafnxCHAccF5ETAVuAj7U6OdwMjezrtbEZD4FuBwgIq4F3lBZkWvtrwa+LWmepANq9wEuA3Zq9HO4mcXMuloTBw2tBTxS9bpf0ioRsQJ4HvBV4GSgD/iVpN/X7LMEWLvRgzuZm1lX6x3XtDT4KDCh+q1zIgd4Aji10h4uaS6pbb2yz5P5+eFGD+5mFjPrar19vXU/RjEP2BVA0mRgQdW6TYCrJfVJWpXUvHJj9T7ADOCqRj+Ha+Zm1tWa2MwyB3izpGuAHmB/SUcBt0XETySdC1wLLAe+FxE3S/occLakDwIPAvs0enAnczPras3qZx4RA8AhNcWLqtbPAmbV7HMfsEszju9kbmZdzYOGzMxKwFPgmpmVQN+4cszN8pxPSZJOkFTbTlS9fkNJu+fl/5W0YYPHmSbp/EbjHOL9nhWLpNdI+nVePl/SuOr4zax8mjhoqFBjUTPfEXgNcElEfHQMjleX0WKJiL0BJD0d/1jEZWZjqyuaWSTNBA4g1eCPB9YFjgL6gasj4piqbfuAbwEvA9YjDU09gTRHwRq5u85RpKu95wDviojFkt5N6nN5HHBG3hfgiIio7qcJ8GpJlwEvJJ0cTsg16UMiYlH+hbABcBZwAXAXsBFwPrAZ8HrgZxFxbGU/0uirc0ldie6t+jyLgddVxf870uitTSKiX9KXgN9HxIUjfYdm1t7avcZdr3o+xb8iYgppEpgTgTfl1y+R9Oaq7V4GXBsRO5OS86ER0Q98kTSRzE+qtj0D2DcvzwRmA8cCV0bEdOBg4PQhYlmNNJnNVODwUeJ+BXAgsBvwWdKJZNtcVu2/ge/n4/6oZl11/D8GrgZ2zieuGcCPR4nBzNpcNzWzRH5+FbA+cKkkSENPX1G13T+BrSVNJw1RHT/Ce55LGg31HWCtiFgoaXNgR0l75W2eP8R+CyNiKYCkFUOs76laviMiHpG0FLgvIv6Z9xus2ed1wP/l5XnAoSPEPRs4gnQS/GVELBthWzPrAL2rdM8F0IH8fCep2eLNETGNNGnMdVXbzQQejoj3kaZ+XENST97/344TEY8C84FTgO/m4kXAKfm930NK+LVqEzHAU8DEvLzVKNsOZRGwXV7eeoj1T8cfEVcDryTV7s+o8/3NrJ319tX/aGN1/26IiAdIbca/kXQdqZnh1qpNrgR2zW3jpwN/AV5Mmp9gD0l717zl7PweF+TXnwfek9uyLwcW1hnaacDXJV1Bmo1sZX0a2D0f921DrK+N/1xgg4i4uYFjmVm76e2t/9HGegYH663AGoCko4EHI+LMkbabP3/+RsCdB5/1Fx5YsnxMYnuu/nbWB4oOwaxuS5cuZeHChQAbT5o0aXGj7/Pkj06pOwmu/vYje0bfqhgeNLQSJJ0FvAB4Z8GhmFmztHnzSb2czFdCRMwsOgYzazInczOzztdTkt4sTuZm1t1cMzcz63xdMZzfzKz0XDM3MysBJ3Mzs87X0+dkbmbW+ZrUm0VSL/ANYAtgKXBQRNxWtf5IoDKS/NKIODFPefJ30oh5gN9FxCcaOb6TuZl1tZ7mNbO8HVgtIraTNJk0R9UeAJJeAbyPNHPrIHCVpDnAE8CNEfGcb4BTjsu4ZmaNat7cLFNI80oREdcCb6hadxewS0T0R8QAsCppksBJpOnEfyXpUuUpaRv6GI3uaGZWBj29fXU/RrEW6WY3Ff2SVgGIiOUR8aCkHklfBm6KiFuBe4CT8v0UvkC6cU9DnMzNrLs1bwrcR0n3eXj6nSPi6fsuSFqNNOvqBOCwXPx78k1u8hTbL8nt6CvNbeZm1tV6Vm3acP55wO7AD3Kb+dO3vcwJ+sfA3Ij4UtU+xwMPAbMkbQH8LSIamsrWydzMulvzLoDOAd6c7+nQA+wv6SjgNtK9Ft4IjJc0I2//CdJtKc+R9FZgBekmPw1xMjez7takZJ4vbB5SU7yoanm1YXZ9azOO72TeYtN/+BUeu+eBosMY1Zlb7si41/+q6DDqtuymEe8NYlY3z81iZlYGHs5vZlYCPa6Zm5l1vMHecqTBcnwKM7NGuWZuZlYCPQ2N0Wk7TuZm1t3cm8XMrPMNupnFzKwEnMzNzErAvVnMzDqfm1nMzMrAydzMrATcNdHMrARcMzcz63yDfeVIg+X4FGZmjXLN3MysBJzMzcxKwMnczKzzuZ95h5M0E5gMDETEYcNsMw04JCL2rinfHHh+RPy21XGaWYs1KZlL6gW+AWwBLAUOiojbqtZ/EPgQ6cbNn4uIn0p6AXAesDpwN7B/RDzRyPHLcUpq3MPDJfJR7Am8ttnBmFkBevvqf4zs7cBqEbEdcAzwlcoKSRsARwA7ADsDJ0kaDxwHnBcRU4GbSMm+IV1bM882knRtREyWtBvwGeAR4F/An4BfA6+WdBnwQuASYDYwE1gm6caIuL6QyM2sKZrYzDIFuBwgIq6V9IaqddsA8yJiKbBU0m3Af+R9vpC3uSwvn9LIwbu9Zg6ApD7gNGBGREwHnqxavRrpjDsVODwi/gGcBZzsRG5WAj299T9GthapMljRL2mVYdYtAdauKa+UNaTba+YV6wOPRsR9+fVVwAZ5eWE+myJpRRHBmVnrDDZvOP+jwISq170RsWKYdROAh6vKn6wqa4hr5sn9wARJ6+fXk6vWDQ6x/QD+7sxKYXCw/sco5gG7AkiaDCyoWnc9MFXSapLWBjYFFlbvA8wgVSQb4oQERMQAcDhwqaRfAhsCy0fYZT5wuKTpYxGfmbXOwOBg3Y9RzAGeknQNqd37SElHSXpbRNxLasq9CpgLfDIingI+B+wtaR6wHfC1Rj9H1zazRMRZpLbvii2BKRGxVNI5wF0R8WvSRdDKPhvk558BPxurWM2sdfpHr3HXJVcKD6kpXlS1fjapA0X1PvcBuzTj+F2bzIewBLhW0hPAYuCCYsMxs7EwWEf7SSdwMs8i4ms8h584ZtaZBsqRy53Mzay7lSSXO5mbWXdzzdzMrAT63WZuZtb5SpLLnczNrLu5mcXMrATcNdHMrAQGig6gSZzMzayrlaRi7mRuZt3NvVnMzErAF0DNzEqgJBVzJ3Mz624DJRnQ72RuZl3NNXMzsxLoL0nfRCdzM+tqbmaxUjngD3OLDmGlHNKzUdEhrJRvDi4uOgQbhptZzMxKoI57e3YEJ3Mz62puMzczK4FW1swlrQ6cA7yQdJ/h/SLigZpt/h8whZSPvx0RsyWtC9wKLMybzYmIU0c6lpO5mXW15QMtrZofCiyIiBMk7Q18CvhIZaWk6cCrImI7SeOBmyVdBGwFfD8iPlzvgZzMzayrtbiZZQowKy9fBny6Zv3vgD/k5UGgD1gOTAK2kvQb4H7giIi4Z6QDOZmbWVdrVjOLpAOBI2uK7wMeyctLgLWrV0bEU8BTklYFziY1szwmaREwPyJ+Kel9wFeBd410fCdzM+tqzZo1MSLOAM6oLpN0MTAhv5wAPFy7n6TnAxcBv46Ik3LxXOCJvDwH+Mxox+9tLGwzs3IYGKz/0YB5wK55eQZwVfXKfIH0SuDMiPhs1arvAHvm5TcB80c7kGvmZtbV+ls7B+7pwNmSrgaWAfsASJpFqo3vALwC+KCkD+Z99geOAc6UdBjwOHDQaAdyMjezrra8hck8Ip4A3j1E+dF58XrglGF2n74yx3IyN7Ou5hGgZmYl0OJmljHjZG5mXc01czOzEugvRy53Mjez7raiJDNtOZmbWVdzzdzMrATcZm5mVgLNGs5ftK5O5pJeR5rRbA1gTeBS4ATgOOCtwArgoxFxvaQtSZPd9ANLgX0j4r4i4jaz5hkoSdfErp2bRdI6wPmkZD0dmAxsDnwCeCOwLbA38PW8y6nAhyNiGnAx8PGxjtnMmq9/sP5HO+vaZA7sAcyNiL8AREQ/sC/wGPDziBiMiL8Bq0haH9g7IirzDq8CPFVE0GbWXMsHBup+tLNuTuYvBu6oLoiIx4C1eGb+YchzEFcmhpe0PXA4w8+nYGYdpH9gsO5HO+vmNvO/km7N9DRJG5NOcBOqip+eg1jSXsAngbfW3sfPzDpTuyfpenVzzfynwC6SXgmQ7/RxMukC586SeiVtCPRGxIOS3k+qkU+LiDuGfVcz6yiumXe4iHhU0n7AbEmV2vglwBeAVUn35usF/ktSH3Aa8DfgYkkAv4mI4wsJ3syapt2TdL26NpkDRMR8YMchVp2QH9XWbXU8Zjb2nMzNzEpg2Yr27qVSLydzM+tqrpmbmZWAk7mZWQm0MplLWh04B3ghaczKfrXdmiX9BFgPWA48GREzJL0KOAsYBBYC/xURI7YHdXPXRDMzVgwM1v1owKHAgoiYCnwP+NQQ27wKmBIR0yJiRi47GfhU3q+HNGJ9RE7mZtbVlq0YqPvRgCnA5Xn5MmCn6pWSXgSsA1wi6WpJu+VVk4DfDLffUNzMYmZdrVlT4Eo6EDiypvg+npkeZAmwds36ccBXSBP5rQvMk3Q90BMRgyPs9yxO5mbW1ZrVZh4RZwBnVJdJuphnpgd5emqQKvcC34yIFcD9km4CBFT/DBhqv2dxM4uZdbUWD+efB+yal2cAV9Ws3wn4AYCkNYHNgFuAmyRNG2G/Z3HN3My6Wou7Jp4OnC3pamAZsA+ApFnARRFxmaSdJV1Lqo0fm+eC+m/SVCPjSMn9otEO5GRuZl2tv4XzlEfEE8C7hyg/umr5o0Osv5V0k5y6OZmbWVfzcH4zsxJosP9423EyN7Ou5uH8ZmYl4GRuZlYCTuZWl+Nu+SXjxo0rOoxS6VmxtOgQVkrv4w+x/N7biw6jbqtu8MqiQxhTTuZmZiWwwr1ZzMw634Br5mZmnW+wSRNtFc3J3My62qBr5mZmnc/NLGZmJTDQ72RuZtbxXDM3MysBt5mbmZWAk7mZWQkMuGuimVnnc83czKwE+j2c38ys83kEqJlZCQy2sGIuaXXgHOCFwBJgv4h4oGr9LsAx+WUPMAXYDFgduAT4S153ekRcMNKxnMzNrKu1uJ/5ocCCiDhB0t7Ap4CPVFZGxOXA5QCSPgbMi4hbJB0EnBwRX6n3QE7mZtbVWnwBdAowKy9fBnx6qI0kvRT4ALB1LpqUirUHqXb+0YhYMtKBnMzNrKv19zennUXSgcCRNcX3AY/k5SXA2sPsfhRwSkRU7rxyPfCdiJgv6ZPA8cD/jHR8J3Mz62rNqplHxBnAGdVlki4GJuSXE4CHa/eT1AvsBnyyqnhORFS2nQN8dbTj9zYQc2EkzZT0xSa91/mSxtWU7SLprLx8cX7eXNJ/NuOYZtZ+BgcG6340YB6wa16eAVw1xDabAYsi4smqsiskbZOX3wTMH+1AXVszj4i9R1n/zry4J3Av8NuWB2VmY67FF0BPB86WdDWwDNgHQNIs4KKIuB4QcEfNfocCX5O0jJR/Dh7tQJ2YzCdL+jmwPumLOhZ4TUQ8lWvti4DFwCeApcDLgG8COwJbAKdGxOmSFgOvATYGzgQez49/AUi6l3QRYiawTNKNwNciYpu8/gLgyxFxQ+s/spm1Siv7mUfEE8C7hyg/umr5QuDCmvU3AtuvzLE6MZkvB3YGXg5cOsJ2LwW2JCXkC4FXAi8htT+dXrXdZ4HjIuIXkj4ObFpZERH/yM0u90bE9ZKelPRa0plyYydys85XluH8HdVmnt0YEYOkhLpGzbqequWFEbGcdMHh9ohYRqp1r1azz+tIV44htW+NZDappr4PaSCAmXW4/hUr6n60s05M5rWn0aeAiZJ6SDXx4bYbziJgu7y89RDrB3jme7oIeAvwDpzMzUphcKC/7kc768RkXmsWqbnlUnJ790o6DDhW0pXAtkOsnw8cLml6RDxFuhB6f0T8s9GAzax9lCWZd1SbeUScVbX8FLBRfnnmEJv/Om+3CJiWlx8mXfQkIir73gM8q+thRGyQn38G/Kxq1Sqk5hYzK4HB/vZO0vXqqGRetNyL5u6ImFt0LGbWHO1e466Xk/lKiIi3FB2DmTWXk7mZWQkMrFhWdAhN4WRuZl3NNXMzsxIYcDI3M+t8rpmbmZWAk7mZWQkMLPcFUDOzjueauZlZCTiZm5mVwOBAc+4BWjQnczPraq6Zm5mVgJO5mVkJ9Ls3i5lZ5xuLmrmkdwBVqrq0AAAMmklEQVTvjoh9hlj3QeBDwArgcxHxU0kvAM4DVgfuBvbP9xMdVhluTmFm1rBW35xC0qnASQyRbyVtABwB7EC6t/FJksYDxwHnRcRU4CZSsh+Ra+at0wewfPnyouMonZ7+zvpOe1d0VpvswNKlRYdQl2XLnm4e6Xsu7zMGNfNrgB8xdELeBpgXEUuBpZJuA/4DmAJ8IW9zWV4+ZaSDOJm3zkSAxX/9a9FxmK2c+xYWHcHKmgjc3ujOS+fP7hl9q9FJOhA4sqZ4/4i4QNK0YXZbC3ik6vUSYO2a8krZiJzMW+cGYCrptnSdVTUz6wx9pER+Q9GBAETEGcAZK7nbo8CEqtcTgIeryp+sKhuRk3mLTJo0aSlwddFxmJVcwzXyNnE98HlJqwHjgU2BhcA8YFfgLGAGcNVob+QLoGZmY0zSUZLeFhH3AqeRkvVc4JP5ZvWfA/aWNA/YDvjaaO/ZMzg42MqYzcxsDLhmbmZWAk7mZmYl4GRuZlYCTubWdJL2lOSeUmZjyMncWmFrYL6kL0vatOhgRiPpDTWv31hULGUjaVLRMXQL92bpAJImAB8nDZD4GfCniLit2KhGJqmX1D/2AGADYDZwTkSsKDSwKpKmAq8ljdo7ORf3Af8VEZsVFtgQJK0PHEMaRHJKRDyUy4+PiBMLDW4Eks4HNgLOIf37jzr4xRrjmnlnOBO4A9gEuJeVH2U2piT1AG8B9gVeDlwErA9cXGRcQ/gX6UQznnSinAi8ADi6yKCG8T0gSDPo/VbSy3N5W/+KiIi9SSf1QeBCSeeOMLTdngO3a3aG9SLiTEnvj4hrcrJsZ38hDYI4LSLmVQolvba4kJ4tIhYCCyXNjoi7i45nFOMj4tsAkv4A/DgnxXb/vwDwImBD0onyz8C7Je0bEQcUG1a5OJl3CEmvyc8vpf3nejkqIn5SeSHpPRHxg4jYv8igRnCQpA8Dy0nJcTAiXlxwTLVWkbR5RCzIJ/STgJ8AaxYd2EgkXQc8QWpmOy7PDoikKwoNrISczDvDEcB3SfM2XAQcVmw4Q5O0G2le5vdKmpyL+4C3AT8oLLDR7Q5sGBFPFh3ICI4Avippr4i4L8/EtypwatGBjeLwiHh6IixJb4yI30TEzkUGVUZO5p1hl4jYrugg6vBHYD3SRbrIZQPA9wuLqD73k2rlbSsi/gBMk7SepFcAD0fEOZLOKzq2oVRfXJb0bxeXgba6uFwWTuadYVdJp0REuzev3BMRZ0v6Ae3fFISk75MuzL0IuElSZSLvwaFu71UkSVsDXyclxMeACfnayWHA74qMbRi1F5chndjb8eJyKTiZd4b1gbsl3UlKPoMRsX3BMQ3le8A+pItcgzxzcW4QeEVRQY3gm0UHsBJOAfaMiLsqBZI2BC4Eti0sqmFUXVz+dkTcU3Q83cDJvDPsVnQA9ajUZiNi46JjqUdE/AZA0nE1q5ZLehlwQUS0S/PLqtWJPLuLdKJsO5Iuioh3ATdKqsTYrheXS8HJvDPsN0TZZ8Y8ilFI+hVDJ5fBiHjTWMezErYgtfNfBUwGXka6Q9TOwAcKjKvapZJ+CfycdDuxCaT4Lis0qmHkRE5ETBxtW2sOJ/POcF9+7gG2on0Hex2Sn48n3cB2HumGte3+y2KdiNgzL39L0s8j4gOS2uZOURFxoqRPkE46LyD9H5gbEScVG9nQJH2XYX41uH95aziZd4CI+Fb1a0ntWhsLAEkviohKV8Q5uQ93O1tH0gsi4kFJ6wFr525/axQdWIWk44HNgX0j4glJGwEnS/p0RHy22OiGdH5+PpR0d/p5pDl7tiksopJzMu8AkjapejmRNJqureU7lV8PbE8aNNLOjgeuk/QoaRDOh4H/pr2mTdgVmBwRgwARsVjSXqRE2XbJPCKuAJD03xExKxfPk/SLAsMqNSfzzlBdM3+KlGja2ftIMe4J3ALsVWw4I4uIn0q6lNRr6P6cMC8vOKxaj1USeUVELJe0pKiA6rSmpB2BG0gn9nEFx1Na7dr2av/u5IiYnh8zgLWKDmgoeaoBSPHNBj5KOhG9pLCgRiDpa/n5d8DVwBxS7fGaQgMb2pN5sNDT8uu27M1S5QBSU8t1wMG0+Ym9k7lm3sZqhsdXRoD2AnvQnsPjj8qPb9WUDwI7jn04o+qT9AVgcU15OybIjwM/knQlaQbNDUm9WYbq6VQ4Savk6Y7vIP1S66E9v9fScDJvb8MNjz9/2D0KFBFH5efpRcdSp2vzc4y4VRuIiJvzEPk9gBcDNwKfiYh2bWapDCALnknilYTejgPIOp5vTtEBJPVGxEDV64ntPKpO0ueAA6mqiXmgiFlruWbeGY6XdBjp4tEawK3A64oNaUS7ARtVpju17iXpQ8CHgNUqZRHRVvPal4UvgHaGGcBLgXNJ0+D+o9hwRnUTVX+81tU+ArwT2K7qYS3gmnlneCgilkqaEBG3SWqbwSzDWAjcI+lenpmPw+2k3elPwF0dMONnx3My7wx/l3QA8Hi+w0xbdk2sshewMeCb99pc4A5Jt/PMib0dezZ1PCfzznA0KYFfCMwE9i40mtH9FXjcbeZGai9/Dz6xt5yTeWe4JCKm5OWvFhpJfV4G3C7pjvy6Xedft9b7O3BDdW8saw0n887wT0kfIfXZHQCIiJ8XG9KIPMrPKsYDf8x3carMK9NWd3EqCyfzzvAQsGV+QPqjaOdk3hHzr9uYaMspesvIybwDRMT+eebEVwILgLsLDmk0nTL/urXey4sOoFs4mXcASYcD7wDWBc4CXg0cXmRMI+mU+ddtTGyan3tIvyz/SRrqb03mZN4Z9gamku4sc6qkG4oOaCSdOP+6tUZEfKKyLKkH+GmB4ZSak3lnqDRTVOY6afcuf7Xzr/9PUYFYsSRVz1/+YtL4A2sBJ/POcB7wW+Dl+SYKPyo4nhF10KyJ1nrVsyY+BcwaYVt7DjxrYoeQtClpcq2IiAVFxzMSSceR2vRXVMo8a2J3kvRB0k1KKlNQeGqHFnHNvAPkNugvAgIW5vsq/rXgsEayO/DyiHiy6ECscIeQ7l96b9GBlJ2TeWf4HnAi6ea9U0g9Wtq5KeN+YHnRQVhbeLDNKx6l4WaWDiDpyoh403Cv24Wk75PaRzchjfzzqL8ulW/HB2nK22WkOyNV/i8cW1RcZeaaeWe4S9KnSDPQTQKWSnoLtN2w/m8WHYC1jah5thZzzbwDSPruMKsGI+KAMQ3GzNqSk3mHkLQW/37rrfsLDMfM2oybWTqApLNJFz4f4Zk7nG9VaFBm1laczDvDayLilUUHUS9JmwGnA+uQ7lu6MCI8jNushTybXWe4XpKKDmIlnArsDzwInAGcUGg0Zl3AybwzPALcIOluSfdIavcpcImI20gXaB8AlhQdj1nZuZmlM0wH1o2IFaNu2R7+KelDwPMk7Y3v/2jWcq6Zd4a/AC8qOoiVcCBpdrwHgTfk12bWQq6Zd4YdgMWSHiL1ZBls84mrTgRmR8Sfiw7ErFu4n7k1naR3ATOBCcB3gQs86ZZZazmZdwBJryMNle+orn6SJgKnALtExDpFx2NWZm4z7wyn0UFd/SRtKOnTwGXAE8CMgkMyKz0n8w7RYV39fkiaBndqRBwQEb8rOiCzsnMy7wy1Xf3+VXRAQ5H00rz4fuBXwERJm9Tc4NnMWsC9WTrDAmAj4AFSV78HCo1meEflR+1UuIPAjmMfjln3cDJvY5IOBA4CNgVuycVTgVULC2oEEXFUXjw5Ii6plEt6T0EhmXUNJ/P2dg5wJXAs8PlcNkBqj247knYj9Yl/r6TtcnEvsAfwg8ICM+sCTuZtLCKWAouBgwsOpV5/BNYDnuSZO8wMAOcXFpFZl3A/c2s6Sb0RMVD1emJE3FNkTGZl55q5tcLxkg4DxgFrALcCrys2JLNyc9dEa4UZwEtJo1U3Bf5RbDhm5edkbq3wUG7vn5AHO61RdEBmZedkbq3wd0kHAI9LOglYq+iAzMrOydxa4UOkLpUfA+4G9io2HLPy8wVQaxpJQ3WhXEoa6HTLEOvMrEmczK2ZJhYdgFm3cj9zawlJO5FuHXcdcGtEPFVwSGal5pq5NZ2kL5C6Jm4KLAM+Aby30KDMSs4XQK0VpkTEvsBjEXE2qYZuZi3kZG6tsIqk1YBBSX1Af9EBmZWdm1msFU4G5gPrk9rMTy42HLPyczK3VngImAK8CrgzIh4sOB6z0nMyt1Y4MSL+E7ih6EDMuoWTubXCoKQ5pDnNBwAi4thiQzIrNydza4Uziw7ArNt40JCZWQm4a6KZWQk4mZuZlYCTuZlZCTiZm5mVgJO5mVkJ/H8saRkr5JpDgQAAAABJRU5ErkJggg==\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"from yellowbrick.features import Rank2D \n",
"\n",
"# Instantiate the visualizer with the Pearson ranking algorithm\n",
"visualizer = Rank2D(features=feature_names, algorithm='covariance')\n",
"\n",
"visualizer.fit(X, y) # Fit the data to the visualizer\n",
"visualizer.transform(X) # Transform the data\n",
"visualizer.poof() "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### RadViz\n",
"RadViz is a multivariate data visualization algorithm that plots each feature dimension uniformly around the circumference of a circle and then plots data points on the interior of the circle. This allows many dimensions to easily fit on a circle, greatly expanding the dimensionality of the visualization."
]
},
{
"cell_type": "code",
"execution_count": 362,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from yellowbrick.features import RadViz\n",
"\n",
"# Specify the features of interest and the classes of the target \n",
"features = feature_names\n",
"classes = ['unoccupied', 'occupied']\n",
"\n",
"\n",
"\n",
"# Instantiate the visualizer\n",
"visualizer = visualizer = RadViz(classes=classes, features=features,size = (500,300))\n",
"\n",
"visualizer.fit(X, y) # Fit the data to the visualizer\n",
"visualizer.transform(X) # Transform the data\n",
"visualizer.poof() # Draw/show/poof the data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Parallel Coordinates\n",
"This technique is useful when we need to detect clusters of instances that have similar classes, and to note features that have high variance or different distributions. Points that tend to cluster will appear closer together."
]
},
{
"cell_type": "code",
"execution_count": 344,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
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],
"text/plain": [
" cement slag ash water splast coarse fine age strength\n",
"0 540.0 0.0 0.0 162.0 2.5 1040.0 676.0 28 79.986111\n",
"1 540.0 0.0 0.0 162.0 2.5 1055.0 676.0 28 61.887366\n",
"2 332.5 142.5 0.0 228.0 0.0 932.0 594.0 270 40.269535\n",
"3 332.5 142.5 0.0 228.0 0.0 932.0 594.0 365 41.052780\n",
"4 198.6 132.4 0.0 192.0 0.0 978.4 825.5 360 44.296075"
]
},
"execution_count": 369,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Use Yellowbrick to load the concrete dataset\n",
"concrete_data = pd.read_csv('data/concrete/concrete.csv')\n",
"\n",
"concrete_data.head()\n"
]
},
{
"cell_type": "code",
"execution_count": 353,
"metadata": {},
"outputs": [],
"source": [
"# Save feature names as a list and target variable as a string\n",
"feature_names_reg = ['cement', 'slag', 'ash', 'water', 'splast', 'coarse', 'fine', 'age']\n",
"target_name_reg = 'strength'\n",
"\n",
"# Get the X and y data from the DataFrame \n",
"X_reg = concrete_data[feature_names_reg]\n",
"y_reg = concrete_data[target_name_reg]\n",
"\n",
"# Create the train and test data \n",
"X_reg_train, X_reg_test, y_reg_train, y_reg_test = train_test_split(X_reg, y_reg, test_size=0.2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Residuals Plot"
]
},
{
"cell_type": "code",
"execution_count": 370,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Instantiate the linear model and visualizer \n",
"model = Ridge()\n",
"visualizer = ResidualsPlot(model)\n",
"\n",
"visualizer.fit(X_reg_train, y_reg_train) # Fit the training data to the visualizer\n",
"visualizer.score(X_reg_test, y_reg_test) # Evaluate the model on the test data \n",
"g = visualizer.poof() # Draw/show/poof the data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Prediction Error Plot\n",
"\n",
"The Prediction Error Visualiser visualizes prediction errors as a scatterplot of the predicted & actual values. We can then visualize the line of best fit & compare it to the 45º line."
]
},
{
"cell_type": "code",
"execution_count": 358,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Instantiate the linear model and visualizer \n",
"model = Lasso()\n",
"visualizer = PredictionError(model, size = (800,400))\n",
"\n",
"visualizer.fit(X_reg_train, y_reg_train) # Fit the training data to the visualizer\n",
"visualizer.score(X_reg_test, y_reg_test) # Evaluate the model on the test data \n",
"g = visualizer.poof() # Draw/show/poof the data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Alpha Selection Visualizer\n",
"\n",
"The AlphaSelection Visualizer demonstrates how different values of alpha influence model selection during the regularization of linear models. A higher value of alpha denotes a less complex model and vice versa, decreasing the error due to variance (overfit). However, alphas that are too high increase the error due to bias (underfit). Therefore, it is important to choose an optimal alpha such that the error is minimized in both directions."
]
},
{
"cell_type": "code",
"execution_count": 359,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
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