smart-iss-posts/notebooks/test_clustering.ipynb

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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import os\n",
"os.chdir(os.getcwd() + '/..')"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"%load_ext autoreload\n",
"%autoreload 2"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Using TensorFlow backend.\n"
]
}
],
"source": [
"from iss.tools import Config\n",
"from iss.tools import Tools\n",
"from iss.models import SimpleConvAutoEncoder\n",
"from iss.models import ImageDataGeneratorWrapper\n",
"import pandas as pd\n",
"import datetime as dt\n",
"import time\n",
"import numpy as np\n",
"from dotenv import find_dotenv, load_dotenv\n",
"from sklearn.manifold import TSNE\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"load_dotenv(find_dotenv())\n",
"cfg = Config(project_dir = os.getenv(\"PROJECT_DIR\"), mode = os.getenv(\"MODE\"))\n",
"model_type = 'simple_conv'\n",
"cfg.get('models')[model_type]['model_name'] = 'model_colab'"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"model = SimpleConvAutoEncoder(cfg.get('models')[model_type])"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"model.load(\"final_model_colab\")"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"_________________________________________________________________\n",
"Layer (type) Output Shape Param # \n",
"=================================================================\n",
"input_1 (InputLayer) (None, 27, 48, 3) 0 \n",
"_________________________________________________________________\n",
"enc_conv_1 (Conv2D) (None, 27, 48, 64) 1792 \n",
"_________________________________________________________________\n",
"batch_normalization_1 (Batch (None, 27, 48, 64) 256 \n",
"_________________________________________________________________\n",
"activation_1 (Activation) (None, 27, 48, 64) 0 \n",
"_________________________________________________________________\n",
"max_pooling2d_1 (MaxPooling2 (None, 13, 24, 64) 0 \n",
"_________________________________________________________________\n",
"enc_conv_2 (Conv2D) (None, 13, 24, 32) 18464 \n",
"_________________________________________________________________\n",
"batch_normalization_2 (Batch (None, 13, 24, 32) 128 \n",
"_________________________________________________________________\n",
"activation_2 (Activation) (None, 13, 24, 32) 0 \n",
"_________________________________________________________________\n",
"max_pooling2d_2 (MaxPooling2 (None, 6, 12, 32) 0 \n",
"_________________________________________________________________\n",
"enc_conv_3 (Conv2D) (None, 6, 12, 16) 4624 \n",
"_________________________________________________________________\n",
"batch_normalization_3 (Batch (None, 6, 12, 16) 64 \n",
"_________________________________________________________________\n",
"activation_3 (Activation) (None, 6, 12, 16) 0 \n",
"_________________________________________________________________\n",
"max_pooling2d_3 (MaxPooling2 (None, 3, 6, 16) 0 \n",
"=================================================================\n",
"Total params: 25,328\n",
"Trainable params: 25,104\n",
"Non-trainable params: 224\n",
"_________________________________________________________________\n"
]
}
],
"source": [
"model.encoder_model.summary()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"filenames = Tools.list_directory_filenames('data/processed/models/autoencoder/train/k/')\n",
"generator_imgs = Tools.generator_np_picture_from_filenames(filenames, target_size = (27, 48), batch = 496, nb_batch = 2)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"pictures_preds = Tools.encoded_pictures_from_generator(generator_imgs, model)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"ename": "AttributeError",
"evalue": "'tuple' object has no attribute 'reshape'",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mAttributeError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m<ipython-input-13-e3d22d0becf7>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mintermediate_output\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mpictures_preds\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mreshape\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m992\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m3\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0;36m6\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0;36m16\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
"\u001b[0;31mAttributeError\u001b[0m: 'tuple' object has no attribute 'reshape'"
]
}
],
"source": [
"intermediate_output = pictures_preds.reshape((992, 3*6*16))"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(992, 288)"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"intermediate_output.shape"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"output_tnse = TSNE(n_components=2).fit_transform(intermediate_output)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(\n",
" output_tnse[:,0],\n",
" output_tnse[:,1]\n",
")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.decomposition import PCA"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(992, 288)"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"intermediate_output.shape"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"pca = PCA( n_components = 10)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"PCA(copy=True, iterated_power='auto', n_components=10, random_state=None,\n",
" svd_solver='auto', tol=0.0, whiten=False)"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pca.fit(intermediate_output)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[ 0.42109594 0.57931983 0.66647762 0.72199494 0.75129557 0.77454692\n",
" 0.79685652 0.81197721 0.82250977 0.83269101]\n"
]
}
],
"source": [
"somme_cum = np.cumsum(pca.explained_variance_ratio_)\n",
"print(somme_cum)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fcf7cde9a90>]"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAD8CAYAAACMwORRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvIxREBQAAHihJREFUeJzt3Xl0VeW9//H3l4SQiRBIQgIZSKLILFMEcaitiKKt2tZW0arVStFerZ2uv9r+bu29tr3r/lzt7XBr20vFqmDFoRNVFOss4kDCHCZpBhIgCSEkQELIcJ7fH4kYMJgDJNnn7PN5rcVa2SdPTr5syIeHZ9rmnENERPxlgNcFiIhI71O4i4j4kMJdRMSHFO4iIj6kcBcR8SGFu4iIDyncRUR8SOEuIuJDCncRER+K9uobp6amutzcXK++vYhIWCoqKqp1zqX11M6zcM/NzaWwsNCrby8iEpbMrDyYdhqWERHxIYW7iIgPKdxFRHxI4S4i4kMKdxERH1K4i4j4kMJdRMSHPFvnLiISKRoOt1JW20jZvkZKaxuZPTadSVlD+vR7KtxFRHrBoSNtlNV2hHdZbSOl+xo7A72JusaWo+3MICVxkMJdRCRUNLW0UVbbdLQH/mFvvInaQ0eOaZuRFEtuajyXTUgnNyWB3NQE8lITyBkWT+zAqD6vVeEuItJFc2s75fuaOsK7s/f9wcfVB44N8LTBg8hLSeDisWkd4d0Z4qNS4omP8TZeFe4iEnGOtLVTUddEaW3TsUMotY3sOdCMcx+2TUmIITc1gQvOTCMvNZ7c1ISjPfHEQaEboaFbmYjIaWgPOHbXH6aktpGSvYco7eyBl9Y2srv+MIEuAZ4cP5DclARm5qd0Bnc8eakJjEpJYEjcQO9+E6dB4S4iYcs5R11jC6W1jZTsbaSktpHS2kOdwyhNtLQFjrYdPCia3NQEpuYM5fNTMzt64J1DKUMTYjz8XfQNhbuIhLwPJjJLu/TCP+iRH2huO9puYJSRMyye/LREPjVmOHmpCeSnJZKXmkBqYgxm5uHvon8p3EUkJLS1B9h1dBjlwx54yd5G9jQ0H9N2xJBY8tMSuGrKSPJSE8lPSyA/NYHM5Diio7Q3ExTuItKPnHPUHmrptge+s66J1vYPB8KTYqPJT0tkVn7KMT3w3FTvV6KEA90hEekTh460saGynnUV9WyvOni0F37wyIfDKDFRA8hNjefM4YnMGZ9BfmoC+Wkd68GHJUTWMEpvU7iLyGlrDzi2Vx9kXUU963Z2BPr7NQePrkjJTI4jPy2Bz03LPNoLz09NYGRyHFEDFOB9QeEuIietqqGZdRX7WdsZ5ht3NdDU0g50LCucnJXM3IkZTMlJZkpWsi9Xo4S6oMLdzOYCvwSigIecc/913OdzgEeB5M429zrnlvdyrSLigcYjbWzc1XBMr7zqQMcE58AoY/yIJL44PasjyLOHkpsSr+GUENBjuJtZFPAgMAeoBFab2TLn3OYuzf4NeMo591szGw8sB3L7oF4R6UPtAcf7NQePhvi6inq2V384vJIzLJ4ZecOYkp3MlJxkxo9I6pdzUuTkBdNznwHscM6VAJjZUuBqoGu4OyCp8+MhwO7eLFJE+kb1gWbWHg3y/WysbKCxc3hlSNxAJmcnc+mEDKZkD2FyVjIpiYM8rliCFUy4ZwIVXa4rgZnHtfl34EUz+zqQAFzSK9WJSK9pamljY2XD0R75uor6o+vHowcY40cmcc30rI5eeXYyeakJGl4JY8GEe3d/uu646+uBR5xzPzOzWcBiM5vonAt0bWRmC4AFADk5OadSr4gEaVf9Yd56v7Zj0rNzeKW9c3wle1gcBbnDjgb5hJEaXvGbYMK9Esjucp3FR4ddbgPmAjjn3jazWCAVqOnayDm3EFgIUFBQcPw/ECJyGpxz7Kg5xIriKlYUV7NxVwMAg2OjmZKdzCXjzmBKdjKTs5NJ1fCK7wUT7quB0WaWB+wC5gE3HNdmJzAbeMTMxgGxwN7eLFREPioQcKyvrGdFcTUvFldRUtsIwJTsZO69fCyzxw7njLREBmgtecTpMdydc21mdhewgo5ljg8754rN7H6g0Dm3DPgO8Hsz+xYdQza3OOfUMxfpA63tAd4rreOFTVX8Y3M1VQeaiR5gnJufwq3n5zJnfAYZQ2K9LlM8Zl5lcEFBgSssLPTke4uEm8Mt7bzx/l5WFFfx8pYaGg63EjtwABedlcZlEzKYPTadIfHhee64nBwzK3LOFfTUTjtURUJUQ1MrL2+tZkVxFa9v30tza4Ck2GguGZfOZRMz+MToNOJiNAkq3VO4i4SQ6gPNvNg5IfpOyT7aAo70pEF8cXo2l03IYGb+MAbqSFsJgsJdxGOltY2sKK7ihU1VrKuoByA/NYH5F+Zz2YR0Jmcla0JUTprCXaSfOeco3n2gc8liFdurDwEwMTOJ78w5i7kTMzhzeKI2EMlpUbiL9IP2gGN1WR0riqt4sbiaXfWHGWBwTu4w7vvMeC6dkE7W0HivyxQfUbiL9JHm1nZW/bOWFzZV8dKWGuoaW4iJHsCFZ6byjdmjmT1uuM5qkT6jcBfpRU0tbbyytYbnN1Xx2tYaGlvaSRwUzafGDmfuhAwuGpNG4iD92Enf098ykdPUeKSNl7fWsHzDHl7bXkNza4DUxBiumjKSSydkcN4ZKQyK1pJF6V8Kd5FTcLC5lVe21vDchj28vn0vR9oCpA0exLUF2Vw+cQQz8obp8XHiKYW7SJAONLfy0uZqlm+s4o3399LSFiA9aRDXz8jhikkjmD5qqAJdQobCXeRjNDS18o8t1SzfuIc3399La7tjxJBYbpw5iismZTAtZ6jWoEtIUriLHKe+qYUXi6tZvmkPb+2opbXdkZkcx5dn5XL5pBFMzdamIgl9CncRoK6xhReLq1i+qYpVO2ppCziyhsZx6/l5XDFpBJOzhmhTkYQVhbtErH2HjrCiuGPI5e2SfbQHHDnD4pl/YT5XTMpgUqYCXcKXwl0iyt6DR3ihuIrnN+7hnZJ9BBzkpsRz+yfyuWLSCCaMTFKgiy8o3MX3ag4080JxFcs37uG90joCruNgrn/55JlcMWkE40YMVqCL7yjcxZeqGpp5YdMelm+sYnV5Hc7BmcMTuevi0VwxKYMx6Qp08TeFu/hGfVMLf1m7i+c27KGwfD8AY9IH843Zo/n0pBGMTh/scYUi/UfhLmFvQ2U9j71dzt/X7+ZIW4CxGYP5zpyzuHzSCM4cnuh1eSKeULhLWGpubefZDXtY/HYZ6ysbiI+J4gvTs7jx3FGMG5HkdXkinlO4S1jZua+Jx98t58nCCuqbWjlzeCL/cdUEPj8tk8GxekC0yAcU7hLy2gOON7bv5bG3y3ht+14GmHHp+HRumjWKWfkpmhgV6YbCXUJWXWMLTxdWsOTdcirqDpM2eBBfv3g0N8zIIWNIrNfliYQ0hbuEnHUV9Tz2dhnPbthDS1uAmXnD+O7csVw2IYOBUQO8Lk8kLCjcJSQ0t7azbP1ulrxTzobKBhJioriuIJsbzx3FmAwtYRQ5WQp38VT5vkaWvFPOU4WVNBxuZfTwRH509QQ+O1UTpCKnQ+Eu/a494HhtWw2PvV3O69v3Ej3AuGxCBjfNGsXMvGGaIBXpBQp36Tf7Dh3hqcJKHn+3nMr9h0lPGsQ3LxnN9TNySE/SBKlIb1K4S59yzrG2op4lb5d3TJC2B5iVn8L3rxjHnPHpmiAV6SMKd+kTh1vaWbZ+F4vfKWfTrgMkDorm+hkdE6Q640Wk7yncpVeV1nZMkD5dWMGB5jbGpA/mx5+dyGenZpI4SH/dRPqLftqkV7y2rYZFK0t58/1aogcYcydmcPOsXM7JHaoJUhEPKNzltLS2B/jJc1t4ZFUZGUmxfHvOWcw7J5vhmiAV8ZTCXU5ZzYFm7vzjGlaX7ee2C/K49/KxmiAVCREKdzklReV1fG3JGg42t/HLeVO4ekqm1yWJSBcKdzkpzjmWvFPO/c9uZmRyHI/dNoOxGTo/XSTUKNwlaM2t7Xz/Lxv585pdXDx2OD+/bgpD4nREgEgoUrhLUCrqmrhjSRHFuw/wzUtGc/fFoxkwQKtgREKVwl169Mb2vdy9dC3tAceiLxcwe1y61yWJSA+CWtpgZnPNbJuZ7TCze7v5/M/NbF3nr+1mVt/7pUp/c87x4Ks7+PIf3iN9cCx/v+sCBbtImOix525mUcCDwBygElhtZsucc5s/aOOc+1aX9l8HpvZBrdKPDja38q9Pr2dFcTVXTh7J/7tmEvEx+o+eSLgI5qd1BrDDOVcCYGZLgauBzSdofz3ww94pT7ywo+YgCxYXUb6viR98ZjxfOT9Xu0xFwkww4Z4JVHS5rgRmdtfQzEYBecArp1+aeOH5jXv416fXExcTxePzZ3JuforXJYnIKQgm3LvrsrkTtJ0HPOOca+/2jcwWAAsAcnJygipQ+kdbe4Cfvrid373+T6ZkJ/PbG6cxYkic12WJyCkKJtwrgewu11nA7hO0nQfceaI3cs4tBBYCFBQUnOgfCOlndY0t3P3EWlbuqOWGmTn88MrxDIqO8rosETkNwYT7amC0meUBu+gI8BuOb2RmY4ChwNu9WqH0qY2VDdyxpIi9h47wwDVnc+052T1/kYiEvB7D3TnXZmZ3ASuAKOBh51yxmd0PFDrnlnU2vR5Y6pxTjzxMPFVYwb/9dROpCTE8c8cszs5K9rokEeklQa1tc84tB5Yf99p9x13/e++VJX2ppS3Af/y9mMff3cn5Z6bwq3lTSUkc5HVZItKLtHA5wlQ1NPO1x4tYu7Oe2y/K555LxxCtY3pFfEfhHkHeLdnHnX9cw+GWdn7zpWlcMWmE1yWJSB9RuEcA5xwPv1XGfy7fwqhh8Tzx1XP1kGoRn1O4+1xTSxvf+/NG/rZuN3PGp/OzayeTFKtjekX8TuHuY+X7Grl9cRHbqg9yz2Vj+NpFZ+iYXpEIoXD3qVe31vCNpWsxMx65dQYXnZXmdUki0o8U7j4TCDj+55Ud/OLl7YzLSOJ/b5pO9rB4r8sSkX6mcPeRhsOtfPvJdby8tYbPT83kJ5+bRFyMjhEQiUQKd5/YWnWAOxYXUbn/MPdfPYGbzh2lY3pFIpjC3QeWrd/Nd5/ZQGJsNEsXnEtB7jCvSxIRjyncw9xPV2zj16/uoGDUUH7zpWkMT4r1uiQRCQEK9zD25Oqd/PrVHVxXkM2PPjuRmGgdIyAiHRTuYaqofD8/+GsxF45O5Sefm6jzYUTkGEqEMFR9oJmvLSkiY0gs/3P9VAW7iHyEUiHMNLe2c/viIg4daeP3NxeQHB/jdUkiEoI0LBNGnHP84K+bWFdRz+9unMaYDB3+JSLdU889jDy6qoyniyq5++IzmTtRx/WKyIkp3MPEqn/W8qPntnDJuHS+eclZXpcjIiFO4R4GKuqauPPxNeSlJvDz6ybrZEcR6ZHCPcQdbumYQG0LOBbeNJ3BOotdRIKgCdUQ5pzjnmfWs6XqAA/fcg75aYlelyQiYUI99xD2u9dLeHbDHu65bAyfGjPc63JEJIwo3EPUq9tqeGDFVj5z9gi+dtEZXpcjImFG4R6CSvYe4u4n1jI2I4kHvnC2ju4VkZOmcA8xB5tbWbC4iIFRA1h403TiYzQtIiInT8kRQgIBx7eeXE9pbSOLb5uhx+OJyClTzz2E/OLl93lpSzX/9ulxnHdGqtfliEgYU7iHiBc27eFXL7/PF6Zncct5uV6XIyJhTuEeArZVHeTbT61ncnYyP/7sRE2gishpU7h7rL6pha8+VkjCoGgW3jSd2IFRXpckIj6gcPdQW3uArz+xlqqGZn5343TS9fxTEeklWi3joQdWbOPN92v5r89PYvqooV6XIyI+op67R/66dhcL3yjhpnNHMW9GjtfliIjPKNw9sLGyge/+aQMz8oZx35XjvS5HRHxI4d7Pag8d4fbFhaQkxPCbL01joB5uLSJ9QGPu/ailLcC/LFlDXVMLz9xxHqmJg7wuSUR8SuHej3707GbeK6vjl/OmMDFziNfliIiPaUygnyx9byeL3ylnwSfyuXpKptfliIjPKdz7QVF5HT/42yYuHJ3Kd+eO9bocEYkAQYW7mc01s21mtsPM7j1Bm2vNbLOZFZvZH3u3zPBV1dDMHUvWMDI5jl9fP40oPdxaRPpBj2PuZhYFPAjMASqB1Wa2zDm3uUub0cD3gPOdc/vNTM+EA5pb27l9cSFNR9p4fP5MhsTr4dYi0j+C6bnPAHY450qccy3AUuDq49p8FXjQObcfwDlX07tlhh/nHP/3L5tYX9nAz66dwlnpg70uSUQiSDDhnglUdLmu7Hytq7OAs8zsLTN7x8zm9laB4eqRVWX8aU0ld88ezdyJGV6XIyIRJpilkN0NErtu3mc08EkgC3jTzCY65+qPeSOzBcACgJwc/265X7Wjlh8/t4U549P55uzRXpcjIhEomJ57JZDd5ToL2N1Nm78551qdc6XANjrC/hjOuYXOuQLnXEFaWtqp1hzSKuqauPOPa8hLTeC/r53MAE2giogHggn31cBoM8szsxhgHrDsuDZ/BT4FYGapdAzTlPRmoeGgqaWNrz5WSHvA8fubCxgcqwlUEfFGj+HunGsD7gJWAFuAp5xzxWZ2v5ld1dlsBbDPzDYDrwL3OOf29VXRocg5xz1Pb2B79UF+df1U8lITvC5JRCJYUMcPOOeWA8uPe+2+Lh874NudvyLSb177J89t3MO9l4/lk2O0ElREvKUdqr3g1a01/PTFbVw5eSS3fyLf63JERBTup6tk7yHuXrqWcRlJPHDN2Xq4tYiEBIX7aTjY3MpXHytkYNQAFt48nbgYPdxaREKDjvw9RYGA41tPrqNsXxNLbptJ1tB4r0sSETlKPfdT9Ls3/slLW2q47zPjmXVGitfliIgcQ+F+Cppa2vjf10uYPXY4N88a5XU5IiIfoXA/BX8qqqThcCt3fPIMTaCKSEhSuJ+kQMDx8FtlTM4aQsGooV6XIyLSLYX7SXplaw2ltY3cdmG+eu0iErIU7ifpoZUljBwSy+U6xldEQpjC/SRs2tXAOyV13HJ+LgOjdOtEJHQpoU7CopWlJMREcd05/j2LXkT8QeEepKqGZv6+fjfXnpPNkDgd5SsioU3hHqRH3y4j4By3npfndSkiIj1SuAeh8Ugbj79TzmUTMshJ0TEDIhL6FO5B+NOaSg40tzH/QvXaRSQ8KNx70B5wPLyylCnZyUzL0aYlEQkPCvcevLylmrJ9Tcy/ME+blkQkbCjce/DQylIyk+OYO0GblkQkfCjcP8bGygbeK63j1vNzidamJREJI0qsj7FoZQmJg6K59pxsr0sRETkpCvcT2NNwmGc37OG6c7JJitWmJREJLwr3E3h0VTkB57jlvFyvSxEROWkK9240Hmnjj++WM3diBtnDtGlJRMKPwr0bzxR1bFq67YJ8r0sRETklCvfjtAccD79VytScZKbrSUsiEqYU7sd5aUs15fuamK9eu4iEMYX7cRa92bFp6bIJ6V6XIiJyyhTuXayvqOe9Mm1aEpHwpwTrYtHKUhIHRXOdNi2JSJhTuHfaXX+Y5zbuYd452QzWpiURCXMK906PrirDOcct5+d6XYqIyGlTuNO5aem9nVw+aQRZQ7VpSUTCn8IdeLqwgoPNbcy/QE9aEhF/iPhw79i0VMb0UUOZqictiYhPRHy4/2NzNTvrmtRrFxFfifhwX7SyhOxhcVyqJy2JiI9EdLivq6hnddl+bj0vj6gBej6qiPhHRIf7opWlDNaTlkTEh4IKdzOba2bbzGyHmd3bzedvMbO9Zrau89f83i+1d+2qP8zyjXu4fmYOiYOivS5HRKRX9ZhqZhYFPAjMASqB1Wa2zDm3+bimTzrn7uqDGvvEo6vKAPiynrQkIj4UTM99BrDDOVfinGsBlgJX921ZfevQkTaeeHcnl0/MIDM5zutyRER6XTDhnglUdLmu7HzteNeY2QYze8bMQnoQ+6nVFRw80sb8C3Vmu4j4UzDh3t0yEnfc9d+BXOfc2cBLwKPdvpHZAjMrNLPCvXv3nlylveSDJy0VjBrKlOxkT2oQEelrwYR7JdC1J54F7O7awDm3zzl3pPPy98D07t7IObfQOVfgnCtIS0s7lXpP24vFVVTuP8z8C7VpSUT8K5hwXw2MNrM8M4sB5gHLujYwsxFdLq8CtvReib3roZWlZA+LY854bVoSEf/qcbWMc67NzO4CVgBRwMPOuWIzux8odM4tA+42s6uANqAOuKUPaz5la3fup6h8Pz+8crw2LYmIrwW1wNs5txxYftxr93X5+HvA93q3tN63aGUpg2Oj+WJBSM/3ioictojZoVq5v4nnN1VxwwxtWhIR/4uYcNemJRGJJBER7gebW1n6XgWfnjSCkdq0JCIRICLC/anCys5NS1r+KCKRwffh3tYe4A9vlTIjdxhnZ2nTkohEBt+H+4ubq6ncf5jb1GsXkQji+3B/6M0SRqXEc8m4dK9LERHpN74O96Ly/azZWc9XzteTlkQksvg63B9eWUpSbDRfmJ7ldSkiIv3Kt+FeUdfE85v2cMPMUSRo05KIRBjfhvujq8oYYMaXzxvldSkiIv3Ol+F+sLmVpasr+PTZIxgxRJuWRCTy+DLcn1xdwaEjbdx2gZY/ikhk8l24d2xaKmNGnjYtiUjk8l24ryiuZlf9Year1y4iEcx34f7QyhJyU+KZrU1LIhLBfBXuReX7Wbuznq9coE1LIhLZfBXui1aWMCRuoDYtiUjE8024V9Q18cKmKm6YmUN8jDYtiUhk8024/+Gtzk1Ls3K9LkVExHO+CPcDza08uXonV04eScaQWK/LERHxnC/C/cn3KmhsademJRGRTmEf7m3tAR5ZVca5+cOYmDnE63JEREJC2If7C8VVnZuW8r0uRUQkZIR1uDvn+P2bpeSlJnDx2OFelyMiEjLCOtzX7NzP+oqOTUsDtGlJROSosA73h94sJTl+INdMy/S6FBGRkBK24b5zXxMriqv4kjYtiYh8RNiG+x9WlRI1wLhZm5ZERD4iLMO94XArT62u4MqzR5KepE1LIiLHC8twf3L1Thpb2vmKNi2JiHQr7MK9tT3AI2+VMSs/RZuWREROIOzC/flNVexuaGb+heq1i4icSNiFe0JMFJeOT+dTY7RpSUTkRMJuDeHscel6hJ6ISA/CrucuIiI9U7iLiPiQwl1ExIcU7iIiPhRUuJvZXDPbZmY7zOzej2n3BTNzZlbQeyWKiMjJ6jHczSwKeBC4HBgPXG9m47tpNxi4G3i3t4sUEZGTE0zPfQawwzlX4pxrAZYCV3fT7kfAA0BzL9YnIiKnIJhwzwQqulxXdr52lJlNBbKdc8/2Ym0iInKKgtnE1N0jjtzRT5oNAH4O3NLjG5ktABZ0Xh4ys21BfP/upAK1p/i1fqT7cSzdjw/pXhzLD/djVDCNggn3SiC7y3UWsLvL9WBgIvCamQFkAMvM7CrnXGHXN3LOLQQWBlPYxzGzQuecJm076X4cS/fjQ7oXx4qk+xHMsMxqYLSZ5ZlZDDAPWPbBJ51zDc65VOdcrnMuF3gH+Eiwi4hI/+kx3J1zbcBdwApgC/CUc67YzO43s6v6ukARETl5QR0c5pxbDiw/7rX7TtD2k6dfVo9Oe2jHZ3Q/jqX78SHdi2NFzP0w51zPrUREJKzo+AERER8Ku3AP9igEvzOzbDN71cy2mFmxmX3D65pCgZlFmdlaM4v4PRdmlmxmz5jZ1s6/J7O8rskrZvatzp+TTWb2hJnFel1TXwurcA/2KIQI0QZ8xzk3DjgXuDOC70VX36Bj4l/gl8ALzrmxwGQi9L6YWSYdR6MUOOcmAlF0rPrztbAKd4I/CsH3nHN7nHNrOj8+SMcPbubHf5W/mVkW8GngIa9r8ZqZJQGfABYBOOdanHP13lblqWggzsyigXiO3avjS+EW7j0ehRCJzCwXmIoObfsF8H+AgNeFhIB8YC/wh85hqofMLMHrorzgnNsF/BTYCewBGpxzL3pbVd8Lt3D/2KMQIpGZJQJ/Ar7pnDvgdT1eMbPPADXOuSKvawkR0cA04LfOualAIxCRc1RmNpSO/+HnASOBBDO70duq+l64hXtPRyFEFDMbSEewP+6c+7PX9XjsfOAqMyujY7juYjNb4m1JnqoEKp1zH/xv7hk6wj4SXQKUOuf2OudagT8D53lcU58Lt3D/2KMQIol1HOSzCNjinPtvr+vxmnPue865rM4jMOYBrzjnfN87OxHnXBVQYWZjOl+aDWz2sCQv7QTONbP4zp+b2UTA5HJQO1RDhXOuzcw+OAohCnjYOVfscVleOR+4CdhoZus6X/t+525iEYCvA493doRKgFs9rscTzrl3zewZYA0dq8zWEgE7VbVDVUTEh8JtWEZERIKgcBcR8SGFu4iIDyncRUR8SOEuIuJDCncRER9SuIuI+JDCXUTEh/4/+fXFljaB2zgAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(somme_cum[0:10])"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(992, 10)\n"
]
}
],
"source": [
"reduction = pca.transform(intermediate_output)\n",
"print(reduction.shape)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7fcf7cdc4eb8>"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(reduction[:, 0], reduction[:, 1])"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(10, 288)"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pca.components_.shape"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.cluster import KMeans"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [],
"source": [
"km = KMeans(n_clusters=10)"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"KMeans(algorithm='auto', copy_x=True, init='k-means++', max_iter=300,\n",
" n_clusters=10, n_init=10, n_jobs=None, precompute_distances='auto',\n",
" random_state=None, tol=0.0001, verbose=0)"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"km.fit(reduction)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([7, 1, 1, 2, 4, 3, 9, 5, 5, 6], dtype=int32)"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"km.labels_[:10]"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7fcf69bbc9e8>"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(reduction[:, 0], reduction[:, 1], c = km.labels_)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 0.42109594, 0.15822393, 0.08715776, 0.05551729, 0.02930062,\n",
" 0.02325135, 0.02230961, 0.01512069, 0.01053257, 0.01018127], dtype=float32)"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pca.explained_variance_ratio_"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"1.5381844e-06"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.mean(reduction)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0\n",
"(71, 10)\n",
"1\n",
"(141, 10)\n",
"2\n",
"(52, 10)\n",
"3\n",
"(125, 10)\n",
"4\n",
"(194, 10)\n",
"5\n",
"(133, 10)\n",
"6\n",
"(58, 10)\n",
"7\n",
"(101, 10)\n",
"8\n",
"(78, 10)\n",
"9\n",
"(39, 10)\n"
]
}
],
"source": [
"centers = []\n",
"for cl in range(10):\n",
" tmp = reduction[np.where(km.labels_ == cl)]\n",
" print(cl)\n",
" print(tmp.shape)\n",
" centers.append(np.mean(tmp, axis = 0))"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [],
"source": [
"centers = np.array(centers)"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(10, 10)"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"centers.shape"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.cluster import AgglomerativeClustering"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([2, 1, 2, 1, 2, 3, 0, 3, 1, 0])"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cluster = AgglomerativeClustering(n_clusters = 4, affinity='euclidean', linkage='ward') \n",
"cluster.fit_predict(centers)"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([2, 1, 2, 1, 2, 3, 0, 3, 1, 0])"
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cluster.labels_"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([7, 1, 1, 2, 4, 3, 9, 5, 5, 6], dtype=int32)"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"km.labels_[0:10]"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [],
"source": [
"new_cluster = [cluster.labels_[old_cl] for old_cl in km.labels_]"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7fcf6830a630>"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(reduction[:, 0], reduction[:, 1], c = new_cluster)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Clustering avec la classe adequat"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [],
"source": [
"from iss.clustering import ClassicalClustering"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"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": "3.6.8"
}
},
"nbformat": 4,
"nbformat_minor": 2
}