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@vered1986
Created December 28, 2018 08:55
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Bias in Face Recognition: this notebook demonstrates how if your training data has few samples of some group (e.g. female faces), the performance of your model on that group would be worse than the general performance.
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Bias in Face Recognition\n",
"\n",
"In this notebook we'll demonstrate the not-so-surprising fact that if your training data has few samples of some groups, the performance of your model on these groups would be worse than the general performance. \n",
"\n",
"The notebook is based on the [Face Recognition example in ScikitLearn](https://scikit-learn.org/0.16/auto_examples/applications/face_recognition.html), using the Labeled Faces in the Wild (LFW) people dataset. Rather than predicting who's in the image, we will try to predict the gender of that person. \n",
"\n",
"We will show that given there are less females in the dataset, the model's performance on females is worse. For the sake of this example, we assume binary gender and \"guess\" a person's gender from their first name."
]
},
{
"cell_type": "code",
"execution_count": 331,
"metadata": {},
"outputs": [],
"source": [
"import os \n",
"import math\n",
"import logging\n",
"\n",
"import random\n",
"random.seed(1234)\n",
"\n",
"import numpy as np\n",
"import pandas as pd\n",
"import seaborn as sn\n",
"import matplotlib.pyplot as plt\n",
"import gender_guesser.detector as gender\n",
"\n",
"from time import time\n",
"from collections import defaultdict\n",
"\n",
"from sklearn.datasets import fetch_lfw_people\n",
"from sklearn.neural_network import MLPClassifier\n",
"from sklearn.model_selection import train_test_split\n",
"from sklearn.metrics import classification_report, precision_recall_fscore_support, confusion_matrix\n",
"\n",
"logging.basicConfig(level=logging.INFO, format='%(asctime)s %(message)s')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Preprocessing\n",
"\n",
"Download the data, if not already on disk and load it as numpy arrays. "
]
},
{
"cell_type": "code",
"execution_count": 332,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Total dataset size:\n",
"n_samples: 3023\n",
"n_features: 1850\n",
"n_classes: 62\n"
]
}
],
"source": [
"lfw_people = fetch_lfw_people(resize=0.4, min_faces_per_person=20)\n",
"\n",
"n_samples, h, w = lfw_people.images.shape\n",
"X_name = lfw_people.data\n",
"n_features = X_name.shape[1]\n",
"\n",
"# the label to predict is the id of the person\n",
"y_name = lfw_people.target\n",
"target_names = lfw_people.target_names\n",
"n_classes = target_names.shape[0]\n",
"\n",
"print(\"Total dataset size:\")\n",
"print(\"n_samples: %d\" % n_samples)\n",
"print(\"n_features: %d\" % n_features)\n",
"print(\"n_classes: %d\" % n_classes)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next, we use a \"gender guesser\" to assign a gender label for each person in the dataset, disregarding people with gender-neutral names."
]
},
{
"cell_type": "code",
"execution_count": 333,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Estimated: males = 81.77%, females = 10.19%, unknown = 6.65%\n",
"==========================================================\n",
"Alejandro Toledo: male\n",
"Alvaro Uribe: male\n",
"Amelie Mauresmo: female\n",
"Andre Agassi: male\n",
"Angelina Jolie: female\n",
"Ariel Sharon: male\n",
"Arnold Schwarzenegger: male\n",
"Atal Bihari Vajpayee: unknown\n",
"Bill Clinton: male\n",
"Carlos Menem: male\n"
]
}
],
"source": [
"gender_detector = gender.Detector()\n",
"genders = {name: gender_detector.get_gender(name.split()[0]) for name in target_names}\n",
"\n",
"males = [name for name, gender in genders.items() if gender == 'male']\n",
"females = [name for name, gender in genders.items() if gender == 'female']\n",
"\n",
"# Count the number of total samples per gender\n",
"samples_per_person = defaultdict(int)\n",
"\n",
"for label in y_name.tolist():\n",
" samples_per_person[target_names[label]] += 1\n",
" \n",
"percent = {}\n",
"for curr_gender in ['male', 'female', 'unknown']:\n",
" curr_names = [name for name, g in genders.items() if g == curr_gender]\n",
" curr_n_samples = sum([samples_per_person[name] for name in curr_names])\n",
" percent[curr_gender] = curr_n_samples * 100.0 / n_samples\n",
" \n",
"print('Estimated: males = {:.2f}%, females = {:.2f}%, unknown = {:.2f}%'.format(percent['male'], \n",
" percent['female'], \n",
" percent['unknown'])) \n",
"print('==========================================================')\n",
"print('\\n'.join([': '.join((name, gender)) for name, gender in list(genders.items())[:10]]))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Unsurprisingly there is more representation for males than for females in the dataset. Let's convert the labels to gender labels, and reduce the number of females even further."
]
},
{
"cell_type": "code",
"execution_count": 334,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"n_samples: 2719\n",
"Estimated: males = 90.92%, females = 9.08%\n"
]
}
],
"source": [
"target_classes = ['male', 'female']\n",
"male_examples = [X_name[i, :] \n",
" for i in range(X_name.shape[0]) \n",
" if genders.get(target_names[y_name[i]], None) == 'male']\n",
" \n",
"female_examples = [X_name[i, :] \n",
" for i in range(X_name.shape[0]) \n",
" if genders.get(target_names[y_name[i]], None) == 'female'][:len(male_examples) // 10]\n",
"\n",
"X = np.vstack(male_examples + female_examples)\n",
"y = np.array([0] * len(male_examples) + [1] * len(female_examples))\n",
"assert(y.shape[0] == X.shape[0])\n",
"\n",
"n_samples = X.shape[0]\n",
"\n",
"percent = {}\n",
"for curr_gender, curr_samples in zip(['male', 'female'], [male_examples, female_examples]):\n",
" percent[curr_gender] = len(curr_samples) * 100.0 / n_samples\n",
" \n",
"print(f'n_samples: {n_samples}')\n",
"print('Estimated: males = {:.2f}%, females = {:.2f}%'.format(percent['male'], percent['female'])) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's print some people's images along with their guessed gender, to make sure we didn't mess up."
]
},
{
"cell_type": "code",
"execution_count": 335,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9080aa25c0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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WNs4w8KBQvkM4f1garOiYbeO2XlxER/cMtquL0+CiN7o2dls0LvWvez8XqYvX6pjUrrYDeK0oUhef4KCkh27btmtfZ+i2btpoYYqmd+N9Kj3sWJTJVc8Zq5czRJ2iuSWPfMbbb79dVYvUt+TJ+YK7WCxzhN5fY98lu+I7qIxbcOv6uKv9uU3ILTqNO5apD1xEQRruito/ffp0V6a5m8bBTPut5HlM36v+Yx207cexr60Gtpdkg+2let944421KeYtOUEQBEEQ/EmwsRHgUKt37hYu2p1zZSDGYjSvcsVYd5W8roY8Fjec95lK9+iiPw3T/A6PhYPmBjg01mN7OAZA7eDSQzt3HedW6NgD/ta5W7mY+86witdqtbDKWFUa+ksvvdSVaZWgiIBVfSrfN998syvTszl+pN1PGQvOHUNjTK581XdTK3Kdd+57zjB0KnrnlKucMzp1RlVT+UkcI+HaQSt7zgFa5TLevX7HXBBaOTr5nBuapun6XHlkjhw50p1XG3PFrlX12bNnuzKXO0Pgyt25RjqGmKyr+pLGt5InlqkP6G6n+7BerI9b7buIiJIDsUBVfZvwWifPuk8iAQZBEARBsBaiAARBEATBFmLjLYChz7ajWkitiu4gReJ8aZ0RlqPB1031uioymHsnwRnmOH9ld/2qOgpqN5emkpSS7iMqiD6nc8TQr9u1Nem9t956q6p8/1BGxiIBUkamjATV3ixzsqZj1kG+vfTxVf2reopSFH+VT/3rtjNcIihSv4LajpETDxpcbIgp2lyYSu2rMvbbWHppPo9w8Tecn73bqlw3AZbbznAGfzfccENXprgZ7H8ZoWlLac5bAIcOHaprr722qnr5ppHcM888s1TmDPVExfNd1XYcN9pm4LYjt9kkf5yTXARb1cHF86CsqY6r5G8sxTDfT/VhvTSXuLa58847u7Lrrrtu6RnrIgxAEARBEGwhNk4HLI1U2gtXP91NoQE5dy4dO2NBlzZ4KkWwcylyK4epFJ3unFttrKtxu+iHNPyQZnzixImuTKuO559/fukec4Tq52KuyzXm2Wef7cpeeOGFqlpc+UiDpSartuHKxxn4uL6fcjuT4Q61e62m1O6sK118aDykvmK9jx49ulQHMTxu5UB5VxmNxVzEsjmjaZolYyRn4OVYAbdydwadq847uLHq7uPi9btnaBXoDLiqFvNGDOHYTRd9zrmLvvzyy12Z2lNs1Fga9suNQ4cOdeNDY5EGjS7vhcYBV75jBsBkUNUWHNvOndAZ9nJ86j405lV701BPz+F8xnvrXdl/AseFwL53sqg24ViRq6EbP1MIAxAEQRAEW4goAEEQBEGwhbjodMA//vGPq2ox8YEoHhli8JjUxrpJQtZNGrSKshdcYgfRPYz0JOppVRQpvYNLZOMSy0ylEXURnPQMPfeXv/zl0vvMEep70m0yxCGlrT4gtSZjOlL7amPS64qmRaMfypWoWFKyjtpV39MvX3J85syZrkyyQWqNxkWSbdZR7+9SPLvIkC4aId9JNOdB2QrY2dnp5FoyrK2Uqp7CZB+pP53/u4v74eKCrDLKU787+p008fAcz3MO0HkaebLeSuZy0003dWUy6tO2FuHiU1BO9Bw+b87Jf4Zo27Zre20Xs41lzMYxJlkn1a45wkXc4xaI7sPtA9Lzmlc4T6l+Lv4GjX41Z7lvAt+JkQL1Dm7bid8ewSVFonypXs8991xXJlm75ZZblu43hTAAQRAEQbCFiAIQBEEQBFuIjbYA9vf3l3Kbk5oUxfPUU091ZaJHSWOIyiUN6Ky13bbAWH5vnie9Mmb1/eqrr3ZlsiYlXegoZlr6uvfT+aktDtWbtI/uJ2tyPn+OGPpFO/qV/Sxql9Sn+ofWvKLwSOUpJgJDiZKSVzm3oEj/DZ9HC2RnXau2J53P846edfEeXMhn0YikEyUHlIchnT53NE3TtZHmClK0audXXnmlK9M7st/Ul7Jwrur7gxT5WAyBKr8l6PyrJQucN9TvfJ7GJ3312V+aV5wc0aPFefeMbV9ShiTTqsvFWH9fKpw7d677LogO51aIxonziecWnbYAOIe7eB6SA24VsN31HJdgx8UB4Jyka13sG1r5c9tA3zrWQduMLjwwtz0kVy6mBN9P9+PW9LoIAxAEQRAEW4iNIwFKm9VfroalxVAbog+4IO1eBjNVvaZE4wxpWqt8fZ2Bj1aJNJKQ9kiN36WElQZFYwqmcXQ+pFrlMGmENFeuVF2EQufbKg1Pq6E5a/eE6yuXrEQGK+xnadk0wJMW7SJjsb/Z7s5IU2VcpamuZK+0AuSqQ8dcwfI+LvWojnmNiyA2FiGTz9C7HBQ5IIapw6v6fmf7uIiL8p/mGJLsuORSq5gyl/xFK1Kyfy4dq/rXpfFlGY9VN2e47FLQOr9v1sGlEhbbKAM6npsb9vb2un7VfEBZdmPfGdtp7HO86340wlXb8Hfse63EySxJxjivrGt0q28K6/r5z3++O/7qV79aVYvxcr797W9X1eK87+RX512cBzd/kj1YF2EAgiAIgmALEQUgCIIgCLYQG/GKe3t7Hc0gWv3xxx/vzquMFJZobpcjmbSHaCFSfqI5nA93lc+XrDrQEEPXOJrFhWd1yV2qeqqJBh2i30jJ6F0cjeTyiJN6EuUno58554FvmmYp9DLrK+qKWy9qT26FqN1d4h/X96voPckOt6W0hUNjQD3PyR/pNlGRLmRnlQ9hq3s7g0bWW8fse92Pv5MccPzMGfv7+0thjmmwJNqd/eYoTrWBMw6jEZmLIeB85l0sBxe2mmNfcx3rqlDRpN1pvKjtw3vuuacr+9znPrf0PG3tOMNANw64raVnSN7nLBvvv/9+1+fqC83RVX2MCM7XbkvDzaXaWuB4kSy5JEs8ZuwVbaW4JGOcuzQ+OcdpTqJM3n333d2x+pzzwfHjx6uqN/Su8vOd6kOjQ81tlHc3b6yL+X5dgiAIgiD4k2HjSIDSeGS08ZOf/KQ7L63Jrfap5Wvlxd9Js3EaFzViakg6dskguLqT1kctU0ZGLhkFn8GVvTRTal/SwmksqPN03VF9WOY0XWmMc08CtApuVU0WRX3g3HDY7m4lrfOOtSFo4KPVElkB9TnvIxnh79T3Dz/8cFfGRCZ6V76Lc2mUYSrbQasIXqvx4FYBc2aCiLZtuz5xxm9qF8ei0YhJK3JnAOwi+PF+rk3Z18Nn8J6sq1b2fJ7cF8lgcXWud1aa26p+HNDoS/3pjEoJlzZYq1fNdXM2EG3bthsT+svIkGIH+O5iWu+///6uTNH1Tp482ZVpfLpIoxzHNDYfpiau6tuWdXDMku7Nudm5AvM78+CDD1bVogxp3nDzGGVE8xhl2307p4zlx3AwZpUgCIIgCD5URAEIgiAIgi3ERtzRzs5OR7eI+qbBg6gIUZ5VPeV32223dWWiy5kQRvQfKWRRay5iYFVPeZACcxHBRK84n3HeT5QS6VbSSzpP6lDvStpHRh70TxVtx+eJ7mHZ0GjpoCT+cP7Rai++n4ysaNSj/qUPvtqTlKxoL263kOoTXUfKTPQeaWEZk7HM+QdLRrhN9NOf/rQ7VowLyp9oWbe9w+dJNigjug+3D1TXi6H3Ljf4voKoUBr7ShZobOnGttqWMqFrSd9y204y4XK9u4iClB0Zabnn8RlM/KPnUS419vk8FznTjXW3BTSMRzLn7ULGjlHbUZY19hlZ8YEHHqiqqmPHjnVl6he2ofqFsuQoeW6fqK9otOcMgHUNt3c0LrmVp3HO+YzH6j++s57DMtWX8qe5gXXQ83it5MBtc00hDEAQBEEQbCE2YgCuvPLKzmXi9ttvr6pFTffUqVNV5aP/ffazn+2O77333qqqeuihh7oyaVcuMtqqiEn6rWMA+Dtp5dTwpN3zWq06ea3qWtWzGE8//XRXJoMW53bC1Z00Tq6KuIoQhlr9QWEAtELhakTt7iJ/vfTSS12Zc+fUfdiGd9xxR1V595mqvt/YZsPIlVU+vrrLRaHjL3/5y10Z+08Ggay3M4R1qwk9m/XXfcgmuRj1cwZXfI7lcDkQhq6vVePuXGxb9dGq3AuanziviIXg3KU2d1E+CY1jzklcjWm1f9ddd3VljslUGzm34Kn05wcJV1xxRbeSVz/r21HVtzH7VCwcjULVNmT/nAuermW7sq/UF5QrnWdb6zyZCdXBMUI08uMq3jE9agfOSc5IXOPGjQu2jepzMSnDwwAEQRAEwRYiCkAQBEEQbCE22gLY3d3taF1RLKT3nnjiiapaNIoRBUL/fvnIkv4UtUpqRs8ghcNjUR6kj2QkQQpI9IrbKmBdBWc0UlVL/s1VvRHkl770pa7MRehyRoeqI+nJsfS6c4TaUX9JV4muI/WtPmPENRlVOnmgfLlkMC6d7lS7D+vM37HvRRHzWtbH+ao74zWX1lP9y3aQTzTbUFsmLlreXDEct2xTUarcApJMkDp18qQtM26d6bxLocxjl2CJ2yryFef2i2SL49Nta8jot6o3XOM7u/lHx86Hfyrl+TDh1Jy3CQ4fPtzF4tC7sj21xUVKW8bAbAfJCPtR1L/b8nHjr6qfOygjLnKrkz9tL1ButIXhthT4DnxnPY910HM4t40Z0Tq6/2K+FWEAgiAIgmALsXEIKa2GpIXToEMGcy7tKV3nnPGGtH8XKY/GElyNuQhbqhc1MrcylObJlZUzIGTKUJ2n24mMfeiyojrwPloVUUtTO1CDV9lBc/vS+3G1L42ZcbfVFzLoq+pXNC5XA/tbMkJ2Z8qVZszYimWSJfaPVhMnTpxYeqeqPiqc08bZpy6K3zA6WlW/8pkyDJs7hqsejk+OHUFj0fUHV3LOoHPMyJPXs0yrd459F+VN9We9JFucu2gopnrw3jrmKl71Yb2cO5/q5RhNl2J8btjd3e3G0RjzxjHrcoNonPBajUXO9WrDVe6VjoXQvZ0BOq/V/OLGJzHFSAsuTTbZLZce2rHietdEAgyCIAiCYC1EAQiCIAiCLcRGWwBM/yqQ8lUKTFIgojVdBDxH73ELQMk4SPGQWtU1NPIYGinyOaRNXOQ3l6KVFI/oGdJVoredERKfJxqQ1KCLgDbcFjgo1K/amP3nDFtcRC+37aH3dwlUuJ3kEjfxec7f3qX11PPYF+or0nKksPUuNHB1RjrqQ5a55B+SZ5eW9KBsCe3v73dGUhpPLp0pofEy5f/ujOk07jj++DyVuy1BZxhKWlZ9yTnAxXTgebftoffi7xx979KDu3dSe7n6zQ07OztL8U74f41VjiGNk6nkSU4e3PaBm0PddovbmnBG5zQ8dvM040eMJf3iu7iosJIlfjNcZMHhPTZBGIAgCIIg2EJsnA54qHlwtS/jGmpDWpFTK3JpLHUfFy+dq0pnvOFcbqbc7ZwB3liMcN7TpRpmO0iTdEYlzvDI/e4gGPhU9fVUOzotmlAbrlqxCc49SiueVS5xztjT3dsZ5Kj+/L0zPKL8q9yljHbRAXmtMwJ0hqK65qAwQfv7+0u5N8iqqH3oRqf2YzQ1Z4Dn+tKlR6Vsae5wDIBjgFjmXDCH8j48dgamqrerP69VH7syxx4cFNnQ+7h06moT5/JGSB6cETXnT+d2x2MxN2RwXB4Tya5L4e3S3XNsO5dGzhFittkOjql0EVJd5MEP4iIcBiAIgiAIthBRAIIgCIJgC7HRFsDe3l4XKcv5JzsaX9SIM2zh71zUMPnarvLpdAY+zn/TwSUlcXEHHFXt/PsJ578pmoZ0lIs0NnbfuaFpmiVKlHSvo7DUni7CG+H8dZ0MkY4TrccyXeO2Xgidd4Zoq9JsjtGzzghpyhDRbQHMOcqbQ9u2Xb/Lv58GXtoyc0azbEe1gYv5wP7QtS42QNV4ym0XX8TFFHGRHglH2Tu4rZ2peAHOMFDXaotizjKyv7/f0daO5h6LksntsWH0w6qepqd86d4uYRTBMs0brh85N0nuaMjqviOUESUMYzwZHXMLQFFOOS/qnTmnuq2Ji0kDLMz/KxMEQRAEwYeOjRiA999/v86ePVtVveZGbUeaCsuk2dHowhmC6XcuprLTnKt6LY6avOrgVmWE0/ilXfL3ro5upUItzBl9OYMVF8t7uAqcs4FP27ZLK2zHcFBbSvNoAAAbbUlEQVQ71gqQWq1bNTsM8yRULWr60qidIZ+TU+d+6WTNpXFdVV/JhjMWdMaj7n4sc/ebM8gAvPHGG1W1uEJzY9HFRnfRzcbGJ/vIxXl3q2p377GxyLKpaHAO7nmubMpdUJAh2NwZANVTczuN5FTGsTRkOKp6GaIsSb64SldOB2fkV9W3MY3SNfZpWCdXY5ZpHtOqvqrqzJkzC3WpWpx/dB/ONXoHfUur+pwgNI51UQ1VB7aNM5hdF2EAgiAIgmALEQUgCIIgCLYQG20BvPfee/XCCy9UVU+xkJ4QveLSKpJKH6MBHeU+ZcC1LpwhEOlCR6W4NJzOB5h1HItsRyrIJSAZiwY2RwwN5Uj3SzZIwbmYDGO++mwvFzlxKsKbM7Zz21cOMmJj6loa7mgMOGMyJyMsU70ctcv20v0OSjrgtm27vpUPNFMei6517+jGnYvMyG07ZwTokgFN9YeeQ8rX1UvHTsZ4PJX6182BbrvPGZoOI0vOfZtQ9XSpf5086F35O12rvzwvv/qqfkyT4ncpvt3YZxvLyO7111/vyk6fPl1VVU8//XRXpi0APo9zhCLFMq285h++38svv7z0PJe6WH3tYgMkHXAQBEEQBGshCkAQBEEQbCE23gIQHap87qTCXO7qMatZR2sx0Y6oD7elUOUTMThK3llru3oN36Nq/XC+zqLc+Weuu4VxULYABNWX/qmOstcxt3qcBb5+R2tXWdq6HN2ESwTF5+nebuuFdKHqL3quapHOVh54+gU7X+exvpzyfXfxNuYMhguXtTMtpEXXcky6JCZjlvW0+h4L/V3lQzzr2FmecwtA510iHidjfBe3JcH31D3dezqPBZZp/pGF+Zw9RPb29jo5cF5iggudzLlE20ksU5vQx/7RRx+tqqonn3yyK2P/yEtA36+qqqNHj1bVYv+InhfFX1X1xBNPVNUi3S9ZZFI5zkmaG1y4ej5P1D+3BdRe/CZqHmAdNE9NeVE5hAEIgiAIgi3ExpEApYlJ+1S0virvz+00WIErQxdlTxrSKgMoZ5DjknVIq6fm6SKEjSXj4PUuOp1LUsT3G9aPxwdldeeg9lPbKFJkVb8CpJGO+sIZcrEN9TtqxNJ6ncxV9X3Ba5xMql5sd5e4yMmS5L+qN0i6+eabuzKtBKjxO190tzJ1K86x8TNXDFk4pm8WozMVhc+tZlzZWEyHql4uyQAJU3OS7uNiNbhUtTx2vvyO2ZmKUuf6X/U6CAzA/v5+1+cyXHPRD9070NBNY40yoHmAfaZ5wxkWV/U+/GQWT506VVWLxnt6NtkFzVPHjx/vyhh/wsGNfdWRcupiYeh3XO0LLp6Mk/EphAEIgiAIgi1EFIAgCIIg2EJstAXAsI6iRlyIX2fY5Az1SPvImIIUiKgd0h2k3kS/8Hk6T9qWvqPDejlacdUWgAsXOpbUg9c6f17hICT+mYLej9SaSwaj92c/urCvkjMa/bitEucrTIgmJSUoSo19pnqRbtO7uPDUVb3hDg0DXSIoySn72fnuui0m51c+ZzA8tN6XfaT+YCIw9bUbLy4ML/tIxxyTbguFhohqe/aH5hpX5u7t5Jdw43xVUrOxMrdNODSQnfMWwN7eXtfnLlaI5Nr5tTsj6iNHjnTHLvGPjPtk7Fflt/c4J8nQ76mnnurKVB+O/TvvvLOqFo3ydG/OU25Lespw3MWEcb9zRsFuTl0XB//LEwRBEATBxth4WSGNRsYU0oqqfBQ0lw7YJb3QtYyE5FJAUtuVlkbXHZeUxmmSLhrYWBS3VddIW6UG64wW3YrGRRqTRjxnrV5ommapzaitqi9pJOc0ZoHtqvNc7WklzWfwPmpHxzjQQEZ95VamzmXo9ttv78q4chUL9otf/KIrU32pjasOvLfewTFjfL+D5g7KFNHOZUn9xTHpDOL03o75IMuke7sIfrye41PX0J1Q57madIyMfufcWFlvx2ZMwRn8ucigw4irczYiPnfuXDcPqI+mXLTVPxwHZJoFnecKX253lAH2s2MqNVY5b6h/ea1bYY8liKvq39UZhBP6HeV4yKQRLuHeKsPHMYQBCIIgCIItRBSAIAiCINhCbLQF0DRNR4OIyiNlIdrE+eGSwnJJd0T70JDLUfwuOYyjc5whkIs2NWW8x3dROa9xhkLOf9zROW5LYfi7g+L/rXqyvWQcx/6RAQ3b0G2jiJJn2bFjx6pqkTY8efJkd6wolY4upL+uZI0+/cKnP/3p7lh+xor4V7UY9U9bG3ze448/vvLe3D5wxjzOX9zFppg7hlQk+1rtwuQoLunXmJ88ofbhVhCNMiVvNNxyRpmi/h3NSxl0SYqcTzbfxRkArzuuXZwRya/eec6ysb+/v7SdxzZ286fGPsesvi2k6dXGNNQTZc/+doZ1LqnXVMItPZvzmcpWbdnqvbgN5r6J+u7x3pLJKQNgtw2xLsIABEEQBMEWYmMGQNqGNDeudFyqxbEVDDUWaUC8VpogWQFGFXvxxRerajFakwy2tFqs6lcbNNxxxjVTxjSqm1u1TeUocAZ/zmjDRYibM4ZaJ7VoGdkxOuB1111XVYv9rBUCV3Hqc8bYlqbv2rXKp9SUgZBb7dE4UcaslBu5HLm+repX9Pfee29XpnHxyCOPdGUymOW1WnVwNST5pMY/Zgg0R3COEFh3lzJcqzZnFDzlgqe+pEy4KG90H5MMcoUpOZmap5wBMzEW9W9qfnFzpWMctJp0LpBzQ9M0XduO5fxwRtQ07lOfcg7XGKK86RmUAc41juUd1qWql0/KqeroXBbZB6yjvldkLjS3uRw3lEnNd3w/x1J8kFThB2NWCYIgCILgQ0UUgCAIgiDYQmy8BTCMbER6VzTqlB+rKA1SPDomnSGKi3QN6Rddc99993VlovduueWWrkxUiqNRnTEPKSO3ReC2OKYMfFy0JrWDowvdNsIcMawf3119xW0il6zDpWLVsUuFyd/RAEhbPdwmUtuyz0TR0bhPFDH9fknRCS6+BH3HlSjklVde6coee+yxpXrr2aT3xpJIubTHcwTnCMkC6z4Wa8NRtYQztNK9KU8cY062dG+OO80lzgDYbfmtSmcs2XKpf9eFqwNlYozGnht2d3c7Y1oXNdWlb1efsr9Fm2t+r+rbhAZ2bo5220guCZxL4OW2V3hvyQ2/S9xu0rammxcJfa9oUDzWzy7Wjot3M4UwAEEQBEGwhdiIAdjZ2emMFKRt0HBLGpkzWmCZtCaXEpTQ6o8GFFxN3H333VW16F4lQ0Te2xlSjRnvORce/tZpX4Qz+NO1fE/3u6GWPHctX23h3Lb0LozDLjaAKxppxNTknZGcjAqp6dLgRgZ8jo1h1D8nk7qPk0MyCi6KmUthzZWKVkAyWq3q240Mh9rhIEcCrFoeJy66GZlDZ+yk33G1JHmiTDgjTxcljWyOjEQpR5o3OL9obqP8ql40TqVL2djc5lyTCWcE6OLi6/ggzBH8Zrj8K2PGrTTk0xhkP54+fbqqFsekZInuuq5/WKZrGPFTZRyfmpNYL41tzhEc+w899FBVVT333HNdmeYByoPqy++pvnscP4Jzq78YhAEIgiAIgi1EFIAgCIIg2EJstAVw5ZVXdpHSRDuQ+hB9QXrFGbqJhnH+tc6Yh8YZpHxF19FwS9dPUfcuOY9LJUzKSb91yXuc7y7fz/kHu7oOE8LMmd6r8tsYgovU6CLkueQfkiH+XvLFLR/Sbeo/lxyEhjky0HNJXthnoi4pc6QbZZjEuAM6z3qdOHGiqhapaUarE1yfHxT/f4HRQp1x0jCVLctIvzvfeVGipEmHdHiVN9DjtoHalPOKKH3KluD8tV3SID6HMqMytzXlEsfwfs4weTiu5pw4jFsAGpcu6Q79312k2OHvq/p+VgTQqn4+omH4X/zFX3THmg8YiVJ9zsR2bktT8sI5SX3GWDQ8ry0Czj9uW8fJiDOOdZET140z4XCwZpcgCIIgCD4UbMQAXH311fXAAw9UVa99UvsSqG07bU5lLvIXtXet7FdFQnIGQO530ric+54rWxVpzhkOulW808TGjA6pzQ3zH8zdCGzIdri24wpKxnguLj7lRn1Pw0C1DfvEuY2yjWXEI028qteiZURU1bMCvFZ1WGVQJNCg7ezZswt/q3rjRBoZCZQ/57KoMrIacwYjAbrImS52/5hM8L3VHy5iJOXAGdpyxS6ZIAOg51x//fVdmc5zpaZnOzdWgnPWWLpW5/o4lVtA51301LmB8iBWjIadbg5U39MAT+9/2223dWUaV1x9aw754he/2JXpm1XVzwMc02IV6ILnjA5VRzJ+ejYNRXle0Ul5Xt9OznfuezQWJZH4IPlCwgAEQRAEwRYiCkAQBEEQbCE2NgK85557qqqnwkitKenJwgNMqkJRGqQGRcOQ4hBtQmqDxiKiyV2KSNZL93ZUuzMWXJWwx1F4jvp2WwDO71d1pfGb3ukgpPqsWo4D4Ayd+H6iLZmIR7Sci9PARFAyrmGbUF50DalkHZM2HholVfmoby7F8ZkzZ7pjUXjcFlDduDUm+aSRkehLGtGKTnRGoXOXA6Ft26Xodc6Hne8jqtf5a7MvXdQ/gTJGatUZ7ek5NARTfzAZlOSEMSQkj6t8r53RnuTSRZ9z1D5p57HtzYOwBbCzs9O1vUu57IxvXUp3/c4l5zl69GhXprmE3wlu9antSKu79O2aLzhHqP6UBxnzchuQ30FtLXIe0/PYDi5JltsScn3tIluuizAAQRAEQbCFiAIQBEEQBFuIjbYADh8+3NFmoiqcxT/pFZf8Q5QFrSVFuZBeUZnzu+dzGCrRWfyLuiGdo3uSdlSCFhdXoMrHExjzwXR0uPPxpU+0qCT3HnOGs0R1fqzqX1Lfso6nFa763sVh4O+clwb7VPdWkp6qniZ0HhmUXfWFS85S1W8tUV40Pmj1q3vynUVRuuRDjub8IDm/LyW4BeBC1eqY76itD1p9a8zS71vjl9b7ki1uA1IGnReF2p4W/4oDwOdJtkgn637ccnBhx51XghvLbAfn4+08nTQHum2ruYFxIdS/HL8u4ZuOObY1ZtnWupZtrbmU45hjVtc7uSI0Lt3WNcextvpk7V+16JVALybByYPmO/7exYVwY0rnKafrIgxAEARBEGwhNk4GJM1IGim1dml6jIQkbY8as9N0pQlzhS+tnNo9jS2kkTntnhqS86dUvWgc5AwWHaiNj2nfTksjW6F60UBEK8cP4tt5OeBiKLhUyeoDGslp1exkiat5rQJclLWqZYPEql5jdtG7XPIZavdj8lXVr0RdNEn6Ges5ZHqUEMSlPHWrl4PEAAyTb7GdnVxr1cMUyjL+4ypQZbyfxrFbhVf5yHy6hmWOmZAcOXlbNS4d4ym4lZzz8Z5KkiYZdG00N+zv73dtqnpznKsvp+J96FpX5r4jjMPhGFbKmr4znEs0T/NalXG+1sqfRsZ8l2FMjCpvHOsSgTlDdQfJJ5mxdREGIAiCIAi2EFEAgiAIgmALsdEWAOFoclEopEi0ZeD86R29S4j6IKVCuke0iqPySKXod6TWREO5sLJTfpdTftqO5tQ9XQhUJobR70SLz5neq1oOcTwVD8EZgD777LNVtUjBiaalnKn/nK8+z5MuF/VPGRI9SLlx4YgdZcktIxfHwb2zaEBS1/IV5ljRMbeJnFHZnNE0zVKCqKnw1wLHhihatpnuQyMy9TnHtgvDSzg62UH1X7XlNHYN4fy0XUIYB8mTm7sUWnfOc8T+/n439jTHi3Kv6rfcKPPOSE734LtKXmhIq7ZxhoFV/RYAYwOIOqesOKM8F7tB59m37hvl5J1leq+pWBECZVLyHCPAIAiCIAjWwkYMQNu2neYqzYfalYz1Tp482ZVJy2ESB2mz1PCk+VAjlkEcDbOopblrVD+uyqQVUlN0CTqcxuWO3SpvylVDGi7dHLXKoeHRjTfeWFW9tuxWMHPBoUOHOhZH7zflAuqMrWRIw9W1IgU6gy+3CuBvXfIoGpJKNngfyQYjFDojIz5P78y+l2EWV2x6V8qSS4ozlgBqzqu8IVRXrdj53u7dXCpUjXkaa+l3HMfOFZOrdPUDZUJyRiZB11MGXbrxsQRkVf27ulWgi/rnUgm7e7P/9c4ae3OeI3Z3d7v5V+/Md1Ef0EhXc4iTFa7INV7Yj2IXXPI53pvzsOYfZ7TNPlOZY7PZB4xeqXL3HeE1LlWy+844Rkj34dy7LsIABEEQBMEWIgpAEARBEGwhNuKO6NPpolCJWiVl/9hjj1VVb7BS5SkrR6+ISiEVROpGcAYYpBNVR1JBoo+cH7kz3hseD+vNdhAVQ0pGWyU0fhPdQwNIGf898sgjVbVIEc8Nu7u7S1H1uPXiDEVd3mu1A6NpCaT31M+kadl/eraLpkU4itXJrtsmmqLynNGoM/ARrUxjHt3HyeSco70NMWwDl9+ebeG2AFwkSJfYR8fsU9Kjat+p56ntXYQ49oebuxxVPRUFVP3pEmCNJQ7jtVPxSuaApmm6dtS4ZL31XSD1LQNZF02RZWNJ3lZtCbn5x8XacNS+iyqp7Q1nlEe4bWrWYcxIkO0leWe9ZNjIOqyLMABBEARBsIXY2HpkqKlQG9Lq9f777+/KHnzwwaqq+tnPftaVfeELX6iqRc1G2hA1YmluLiUoryGc24XuM6W9j8Wz5zFXuU57lBbKqIXScKnp6l1uvfXWruzUqVNV1TMAF2PYcSkxXIW4VYmLnMh2VXsyfr6u4bV0GxWc1u5W7NSOdeziq7u6rjJic3V0roHOncy5sLq0pO5+cwZzATj2wqVCHXMhdcaibrW1ylXPRfd0aXedoabqz9XbWE6PKi+DY+83xobyWtZLdR0zlpsThu/K9xsaNFb1LK8ba2zDYUREHvM74RhiMosqo9yoXuxb/Y4rfGcUymvEepDJ1XnKrBhix1jyXSRX/LaoXs6VfgphAIIgCIJgCxEFIAiCIAi2EBdtBOioXtEv9Pl/+umnq6rqoYce6spEvyhVa1VPD02l7CUFNOaX74wAna++M/hzkf54DaNW6Roaj+mYZS7FpbZM+Ay1k0sjOTecO3euo+1VXxfdyqVPdkZSLgYEo/ApRgIpP7bTGCVIoyAl6uG9HcXoDDxX+X8LY8Y8jhp021hue4TxNuYMJgNy41Ljm+NgbKuAZWozbZNV9fOG28ojXNpoXuMMMNU3LpmRi2FS1cuUo22dzLvx4rYKuAV05syZhb9T0QQvJ9q27eZNta3bPnHGsKui6wnaAiEl72I3uO1gF02Sfe9izOg+TpZI3XPeV7/xXfT+3ILSNSxz7aCtBG4p6P1dWuMphAEIgiAIgi3ERgzAuXPn6tVXX62qXluihuTiJ0szYnrG733ve1VV9bWvfa0rO3bsWFX5qFvUuFyqVGIYh5ygFi1NixqXS2nL8zJOoSui3pllLqKbVgZa9Vf1LjAPP/xwVyZDJ7dKmRv29va6CF5a0UwZPzmt1sX+VhvSbfL666+vqtUxryV31O7FHnGFIRkjAzDGTBCOgZqSIeeeKGNQyrN+x/vpmrkbgxJDVoMrK7eyd4ahY+mlmT/hqaeeqqrVhppqU2d06GK/cxw7Y1Hdm7JDF+exNN6OCXPjgNAcx3whP/rRj6qq6uc//3lVLTKSc8SwTVwabjc+ucqV/DtXN76/+o9yQ0ZQ92YdVEYZUbtPGTA7ONdxlonNI1Ogd3Xyzt9pbnB5TC7GUDgMQBAEQRBsIaIABEEQBMEWYqMtgLfffru++93vVlVPlzhjnmeeeaYrk6EKac0nn3yyqhap3K9//etVtbgFIAqE9KeLxObSjToqZcoIUM8h9UQKWnQ3KRnROS5aE9tGKSf1t6pvG7UH63MQtgAI5xMvuJS9bBtReOwznWfchJdeeqmqFuXmhhtu6I4lY6QElRyEdXDGnK7+Lk2oiwHhjMmc0c+UMaHoflLcLg3qnNG2bddGzrDOGb+tS5u7bQFRvkwa5KJHunu66IEcn5qLXLpZF9OhytOwbivMbUM4o2ZFxfvhD3/YlelY27FzNgKsWo6d4Axf2Q4a3y56HsvUVxzbbguAz3OxE1xKackGn6e+5fP0O84lHL/y1+f2n74f/Ja5VOa6hvd2W0caX4kEGARBEATBWtiYAfjOd75TVT7ilY65YtcKmoYY0qK5unvuueeqalGL0Up6lTbnNGanbesaaufOgEuaG1f90rJZX95HmhtXpVoxUKNUGZ/36KOPLjyX9XdGaXPEcGW6qq8EF5nNudc41ymxLTSIolxJdsjgiLURE8B7u0iALjol34P9N7bac8Zdji1j3+uY4+cgxX0XhjkbXK4EF2HTsXZTORB0nnMJV0wuspqbN8bYRMcUUA7YX1qNTdXbrda02uT8I7fg73//+12ZDIUPSp4Il/dgCI4NzaWcU9U/zsXOGQW73CxVPsKfztN1013rcn84w1QXAZb3cWNA9yZT4KKFjqUKv5i00GEAgiAIgmALEQUgCIIgCLYQG0cCHEYkc7QD6Rz5YZOC1bEislX12wK8v+gQUumOjnVbAM4XmNSgjkkdyoDE+V1W9fQejYJEz7AdREu7yExPPPFEd6xtj7GkF3Om93Z2drp3dHSko60lG8532cmS86d3fVZVdeTIkaXrSc0JkknKqYsGNhb5scobcjmfXJceWltLMvKq8tEfnTzPGTs7O91Y1jiZMuRzabgdXKwJwW3lVfnokc7gyqXidYa4mn94rUvzO5U2WnLGeksW5OdfVfWDH/ygqnoDWD7DbZPNDW3b2q3AIVxERMZaEFzEPRetb5VhpsYyy0TZT80/LmW9wG1HHrN/h+C3TvMY5wj3/VCZq9dUlFKHMABBEARBsIXYiAFommZU63RatFb7THl7xx13VNVijH+tFmjwIE3euUVVeW1vLH0mV3LSvlxKUNafK0LV0WmA1NacJiljtJMnT3ZlLj/AnFf8Di7ev+Civknzpqare7jVt7vvqtWeVnlc7Uk2mGpYz3buU1x16PwqN1TH/rgVoFYENCg9ffr0wjnCMRMHITdE1fm605Wuyq/Qpgz+xiIGEvod5wAXqZNs45jRFMtcbH4X2c0xBK6MKzSXMlxGwWQA5CrsVsgaL3NmAJqmWWIJnQEoZV7v5YzyCJcaVwaUHLOM1Kg5nN+Csfw2xJixMse7k1PKi4yY9U2o6mXDRUlkmY6dAXLcAIMgCIIgWAtRAIIgCIJgC9FsQjk3TfOrqnrhT1edwOB427bL1m0zQOThsiEyERCRh2CItWRiIwUgCIIgCIL/P5AtgCAIgiDYQkQBCIIgCIItRBSAIAiCINhCRAEIgiAIgi1EFIAgCIIg2EJEAQiCIAiCLUQUgCAIgiDYQkQBCIIgCIItRBSAIAiCINhC/D8q3AJFFP+bCAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f908303fa90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def plot_gallery(images, titles, h, w, n_row=3, n_col=4):\n",
" \"\"\"Helper function to plot a gallery of portraits\"\"\"\n",
" plt.figure(figsize=(1.8 * n_col, 2.4 * n_row))\n",
" plt.subplots_adjust(bottom=0, left=.01, right=.99, top=.90, hspace=0.35)\n",
" for i in range(n_row * n_col):\n",
" if i == len(images):\n",
" break\n",
" \n",
" plt.subplot(n_row, n_col, i + 1)\n",
" plt.imshow(images[i].reshape((h, w)), cmap=plt.cm.gray)\n",
" plt.title(titles[i], size=12)\n",
" plt.xticks(())\n",
" plt.yticks(())\n",
" \n",
"plot_gallery(male_examples[:4], ['male'] * 4, h, w)\n",
"plot_gallery(female_examples[:4], ['female'] * 4, h, w)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Looks good. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Training\n",
"\n",
"Split into a training set and a test set, and make sure they contain exactly the same classes."
]
},
{
"cell_type": "code",
"execution_count": 336,
"metadata": {},
"outputs": [],
"source": [
"X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.1)\n",
"while set(y_train) != set(y_test):\n",
" X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Train a simple MLP classifier with 2 hidden layers. "
]
},
{
"cell_type": "code",
"execution_count": 337,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Fitting the classifier to the training set\n",
"done in 65.982s\n"
]
}
],
"source": [
"print(\"Fitting the classifier to the training set\")\n",
"t0 = time()\n",
"clf = MLPClassifier(hidden_layer_sizes=(n_features, n_features//2), random_state=1)\n",
"clf.fit(X, y)\n",
"print(\"done in %0.3fs\" % (time() - t0))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Evaluation \n",
"\n",
"Here we follow the same evaluation from the original example and compute the $F_1$ score across the entire test set. "
]
},
{
"cell_type": "code",
"execution_count": 338,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"precision = 0.947, recall = 0.938, f1 = 0.941\n"
]
}
],
"source": [
"y_pred = clf.predict(X_test)\n",
"assert(y_pred.shape[0] == y_test.shape[0])\n",
"precision, recall, f1, _ = precision_recall_fscore_support(y_test, y_pred, average='weighted')\n",
"print('precision = {:.3f}, recall = {:.3f}, f1 = {:.3f}'.format(precision, recall, f1)) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Fairness Evaluation\n",
"\n",
"Overall the performance is really good at $F_1 = 0.94$. \n",
"Now, let's find out how the performance differs between males and females."
]
},
{
"cell_type": "code",
"execution_count": 339,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" precision recall f1-score support\n",
"\n",
" male 0.98 0.95 0.97 247\n",
" female 0.62 0.80 0.70 25\n",
"\n",
" micro avg 0.94 0.94 0.94 272\n",
" macro avg 0.80 0.88 0.83 272\n",
"weighted avg 0.95 0.94 0.94 272\n",
"\n"
]
}
],
"source": [
"print(classification_report(y_test, y_pred, target_names=target_classes))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can see that indeed the performance is worse than average for females. To look at specific errors, we can print people's images with their gold and predicted labels."
]
},
{
"cell_type": "code",
"execution_count": 340,
"metadata": {},
"outputs": [],
"source": [
"def plot_gender(gender):\n",
" samples = [i for i in range(y_test.shape[0])\n",
" if target_classes[y_test[i]] == gender]\n",
" \n",
" if len(samples) > 12:\n",
" samples = samples[:12]\n",
" \n",
" curr_y_pred = [y_pred[i] for i in samples]\n",
" curr_y_test = [y_test[i] for i in samples]\n",
" curr_target_names = [target_names[y_test[i]] for i in samples]\n",
" curr_X_test = [X_test[i] for i in samples]\n",
" \n",
" prediction_titles = ['gold: {gold}\\npredicted: {pred}'.format(\n",
" pred=target_classes[y_pred[i]], gold=target_classes[y_test[i]]) \n",
" for i in samples]\n",
" \n",
" plot_gallery(curr_X_test, prediction_titles, h, w)\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 341,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Male:\n",
"\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f90807909e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"print('Male:\\n')\n",
"plot_gender('male') "
]
},
{
"cell_type": "code",
"execution_count": 342,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Female:\n",
"\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9080dc0c50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"print('Female:\\n')\n",
"plot_gender('female') "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To sum up, we saw that the model's performance on the average case can be misleading. This is a well-known problem in machine learning: less represented groups in the training data entails worse performance on these groups. The problem starts when we deal with people. And when such models are deployed in large scale, it leads to discrimination against people based on gender, race, etc. Although we deliberately created a very skewed dataset for this example, similar things happen all the time in real-world applications. "
]
}
],
"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": "3.6.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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