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ph_ny_mat_sci/dz_les_8.ipynb
denis-on 89ea0a8735
DZ les 8
2022-11-30 14:03:18 +03:00

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{
"cells": [
{
"cell_type": "markdown",
"id": "49b023d6",
"metadata": {},
"source": [
"# Тема “Обучение без учителя”\n"
]
},
{
"cell_type": "markdown",
"id": "5498618d",
"metadata": {},
"source": [
"## Задание 1\n",
"Импортируйте библиотеки pandas, numpy и matplotlib.\n",
"\n",
"Загрузите \"Boston House Prices dataset\" из встроенных наборов данных библиотеки sklearn.\n",
"\n",
"Создайте датафреймы X и y из этих данных.\n",
"\n",
"Разбейте эти датафреймы на тренировочные (X_train, y_train) и тестовые (X_test, y_test) с помощью функции train_test_split так, чтобы размер тестовой выборки составлял 20% от всех данных, при этом аргумент random_state должен быть равен 42.\n",
"\n",
"Масштабируйте данные с помощью StandardScaler.\n",
"\n",
"Постройте модель TSNE на тренировочный данных с параметрами: n_components=2, learning_rate=250, random_state=42.\n",
"\n",
"Постройте диаграмму рассеяния на этих данных."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "75198cc0",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"from matplotlib import pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "002a6a82",
"metadata": {},
"outputs": [
{
"data": {
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"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>CRIM</th>\n",
" <th>ZN</th>\n",
" <th>INDUS</th>\n",
" <th>CHAS</th>\n",
" <th>NOX</th>\n",
" <th>RM</th>\n",
" <th>AGE</th>\n",
" <th>DIS</th>\n",
" <th>RAD</th>\n",
" <th>TAX</th>\n",
" <th>PTRATIO</th>\n",
" <th>B</th>\n",
" <th>LSTAT</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>0.00632</td>\n",
" <td>18.0</td>\n",
" <td>2.31</td>\n",
" <td>0.0</td>\n",
" <td>0.538</td>\n",
" <td>6.575</td>\n",
" <td>65.2</td>\n",
" <td>4.0900</td>\n",
" <td>1.0</td>\n",
" <td>296.0</td>\n",
" <td>15.3</td>\n",
" <td>396.90</td>\n",
" <td>4.98</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>0.02731</td>\n",
" <td>0.0</td>\n",
" <td>7.07</td>\n",
" <td>0.0</td>\n",
" <td>0.469</td>\n",
" <td>6.421</td>\n",
" <td>78.9</td>\n",
" <td>4.9671</td>\n",
" <td>2.0</td>\n",
" <td>242.0</td>\n",
" <td>17.8</td>\n",
" <td>396.90</td>\n",
" <td>9.14</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>0.02729</td>\n",
" <td>0.0</td>\n",
" <td>7.07</td>\n",
" <td>0.0</td>\n",
" <td>0.469</td>\n",
" <td>7.185</td>\n",
" <td>61.1</td>\n",
" <td>4.9671</td>\n",
" <td>2.0</td>\n",
" <td>242.0</td>\n",
" <td>17.8</td>\n",
" <td>392.83</td>\n",
" <td>4.03</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>0.03237</td>\n",
" <td>0.0</td>\n",
" <td>2.18</td>\n",
" <td>0.0</td>\n",
" <td>0.458</td>\n",
" <td>6.998</td>\n",
" <td>45.8</td>\n",
" <td>6.0622</td>\n",
" <td>3.0</td>\n",
" <td>222.0</td>\n",
" <td>18.7</td>\n",
" <td>394.63</td>\n",
" <td>2.94</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>0.06905</td>\n",
" <td>0.0</td>\n",
" <td>2.18</td>\n",
" <td>0.0</td>\n",
" <td>0.458</td>\n",
" <td>7.147</td>\n",
" <td>54.2</td>\n",
" <td>6.0622</td>\n",
" <td>3.0</td>\n",
" <td>222.0</td>\n",
" <td>18.7</td>\n",
" <td>396.90</td>\n",
" <td>5.33</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" CRIM ZN INDUS CHAS NOX RM AGE DIS RAD TAX \\\n",
"0 0.00632 18.0 2.31 0.0 0.538 6.575 65.2 4.0900 1.0 296.0 \n",
"1 0.02731 0.0 7.07 0.0 0.469 6.421 78.9 4.9671 2.0 242.0 \n",
"2 0.02729 0.0 7.07 0.0 0.469 7.185 61.1 4.9671 2.0 242.0 \n",
"3 0.03237 0.0 2.18 0.0 0.458 6.998 45.8 6.0622 3.0 222.0 \n",
"4 0.06905 0.0 2.18 0.0 0.458 7.147 54.2 6.0622 3.0 222.0 \n",
"\n",
" PTRATIO B LSTAT \n",
"0 15.3 396.90 4.98 \n",
"1 17.8 396.90 9.14 \n",
"2 17.8 392.83 4.03 \n",
"3 18.7 394.63 2.94 \n",
"4 18.7 396.90 5.33 "
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import warnings\n",
"from sklearn.datasets import load_boston\n",
"with warnings.catch_warnings():\n",
" # You should probably not use this dataset.\n",
" warnings.filterwarnings(\"ignore\")\n",
" boston = load_boston()\n",
"\n",
"data = boston[\"data\"]\n",
"\n",
"feature_names = boston.feature_names\n",
"\n",
"target = boston.target\n",
"\n",
"X = pd.DataFrame(data, columns = feature_names)\n",
"X.head()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "cc335a2e",
"metadata": {},
"outputs": [
{
"data": {
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"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>price</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>24.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>21.6</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>34.7</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>33.4</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>36.2</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" price\n",
"0 24.0\n",
"1 21.6\n",
"2 34.7\n",
"3 33.4\n",
"4 36.2"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"y = pd.DataFrame(target, columns = ['price'])\n",
"y.head()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "721f2c87",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"((404, 13), (102, 13), (404, 1), (102, 1))"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.model_selection import train_test_split\n",
"X_train, X_test, y_train, y_test = train_test_split(X, y, test_size = .2, random_state = 42)\n",
"X_train.shape, X_test.shape, y_train.shape, y_test.shape"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "fd05580e",
"metadata": {},
"outputs": [
{
"data": {
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"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>CRIM</th>\n",
" <th>ZN</th>\n",
" <th>INDUS</th>\n",
" <th>CHAS</th>\n",
" <th>NOX</th>\n",
" <th>RM</th>\n",
" <th>AGE</th>\n",
" <th>DIS</th>\n",
" <th>RAD</th>\n",
" <th>TAX</th>\n",
" <th>PTRATIO</th>\n",
" <th>B</th>\n",
" <th>LSTAT</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>1.287702</td>\n",
" <td>-0.500320</td>\n",
" <td>1.033237</td>\n",
" <td>-0.278089</td>\n",
" <td>0.489252</td>\n",
" <td>-1.428069</td>\n",
" <td>1.028015</td>\n",
" <td>-0.802173</td>\n",
" <td>1.706891</td>\n",
" <td>1.578434</td>\n",
" <td>0.845343</td>\n",
" <td>-0.074337</td>\n",
" <td>1.753505</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>-0.336384</td>\n",
" <td>-0.500320</td>\n",
" <td>-0.413160</td>\n",
" <td>-0.278089</td>\n",
" <td>-0.157233</td>\n",
" <td>-0.680087</td>\n",
" <td>-0.431199</td>\n",
" <td>0.324349</td>\n",
" <td>-0.624360</td>\n",
" <td>-0.584648</td>\n",
" <td>1.204741</td>\n",
" <td>0.430184</td>\n",
" <td>-0.561474</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>-0.403253</td>\n",
" <td>1.013271</td>\n",
" <td>-0.715218</td>\n",
" <td>-0.278089</td>\n",
" <td>-1.008723</td>\n",
" <td>-0.402063</td>\n",
" <td>-1.618599</td>\n",
" <td>1.330697</td>\n",
" <td>-0.974048</td>\n",
" <td>-0.602724</td>\n",
" <td>-0.637176</td>\n",
" <td>0.065297</td>\n",
" <td>-0.651595</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>0.388230</td>\n",
" <td>-0.500320</td>\n",
" <td>1.033237</td>\n",
" <td>-0.278089</td>\n",
" <td>0.489252</td>\n",
" <td>-0.300450</td>\n",
" <td>0.591681</td>\n",
" <td>-0.839240</td>\n",
" <td>1.706891</td>\n",
" <td>1.578434</td>\n",
" <td>0.845343</td>\n",
" <td>-3.868193</td>\n",
" <td>1.525387</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>-0.325282</td>\n",
" <td>-0.500320</td>\n",
" <td>-0.413160</td>\n",
" <td>-0.278089</td>\n",
" <td>-0.157233</td>\n",
" <td>-0.831094</td>\n",
" <td>0.033747</td>\n",
" <td>-0.005494</td>\n",
" <td>-0.624360</td>\n",
" <td>-0.584648</td>\n",
" <td>1.204741</td>\n",
" <td>0.379119</td>\n",
" <td>-0.165787</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" CRIM ZN INDUS CHAS NOX RM AGE \\\n",
"0 1.287702 -0.500320 1.033237 -0.278089 0.489252 -1.428069 1.028015 \n",
"1 -0.336384 -0.500320 -0.413160 -0.278089 -0.157233 -0.680087 -0.431199 \n",
"2 -0.403253 1.013271 -0.715218 -0.278089 -1.008723 -0.402063 -1.618599 \n",
"3 0.388230 -0.500320 1.033237 -0.278089 0.489252 -0.300450 0.591681 \n",
"4 -0.325282 -0.500320 -0.413160 -0.278089 -0.157233 -0.831094 0.033747 \n",
"\n",
" DIS RAD TAX PTRATIO B LSTAT \n",
"0 -0.802173 1.706891 1.578434 0.845343 -0.074337 1.753505 \n",
"1 0.324349 -0.624360 -0.584648 1.204741 0.430184 -0.561474 \n",
"2 1.330697 -0.974048 -0.602724 -0.637176 0.065297 -0.651595 \n",
"3 -0.839240 1.706891 1.578434 0.845343 -3.868193 1.525387 \n",
"4 -0.005494 -0.624360 -0.584648 1.204741 0.379119 -0.165787 "
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.preprocessing import StandardScaler\n",
"scaler = StandardScaler()\n",
"\n",
"X_train_scaled = pd.DataFrame(scaler.fit_transform(X_train), columns=X_train.columns)\n",
"X_train_scaled.head()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "28d28399",
"metadata": {},
"outputs": [
{
"data": {
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"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>CRIM</th>\n",
" <th>ZN</th>\n",
" <th>INDUS</th>\n",
" <th>CHAS</th>\n",
" <th>NOX</th>\n",
" <th>RM</th>\n",
" <th>AGE</th>\n",
" <th>DIS</th>\n",
" <th>RAD</th>\n",
" <th>TAX</th>\n",
" <th>PTRATIO</th>\n",
" <th>B</th>\n",
" <th>LSTAT</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>-0.396809</td>\n",
" <td>-0.500320</td>\n",
" <td>-1.007111</td>\n",
" <td>-0.278089</td>\n",
" <td>-0.395412</td>\n",
" <td>0.141282</td>\n",
" <td>0.555916</td>\n",
" <td>-0.545853</td>\n",
" <td>-0.507797</td>\n",
" <td>-0.650926</td>\n",
" <td>-0.771951</td>\n",
" <td>0.428872</td>\n",
" <td>-0.481210</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>-0.400796</td>\n",
" <td>1.229499</td>\n",
" <td>-0.664391</td>\n",
" <td>3.595975</td>\n",
" <td>-0.931315</td>\n",
" <td>0.623942</td>\n",
" <td>-1.275254</td>\n",
" <td>0.126565</td>\n",
" <td>-0.624360</td>\n",
" <td>-0.903989</td>\n",
" <td>-0.322703</td>\n",
" <td>0.444180</td>\n",
" <td>-1.257094</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>-0.395234</td>\n",
" <td>-0.500320</td>\n",
" <td>2.433163</td>\n",
" <td>-0.278089</td>\n",
" <td>0.446720</td>\n",
" <td>-0.469805</td>\n",
" <td>1.081663</td>\n",
" <td>-0.911447</td>\n",
" <td>-0.624360</td>\n",
" <td>1.849573</td>\n",
" <td>0.800418</td>\n",
" <td>0.369934</td>\n",
" <td>0.790338</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>-0.396825</td>\n",
" <td>-0.500320</td>\n",
" <td>-0.025421</td>\n",
" <td>-0.278089</td>\n",
" <td>-1.220532</td>\n",
" <td>-0.354079</td>\n",
" <td>-2.172957</td>\n",
" <td>0.694876</td>\n",
" <td>-0.624360</td>\n",
" <td>-0.596698</td>\n",
" <td>0.396095</td>\n",
" <td>0.378682</td>\n",
" <td>-0.976875</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>0.167084</td>\n",
" <td>-0.500320</td>\n",
" <td>1.033237</td>\n",
" <td>-0.278089</td>\n",
" <td>1.331384</td>\n",
" <td>-0.026661</td>\n",
" <td>0.831307</td>\n",
" <td>-0.676503</td>\n",
" <td>1.706891</td>\n",
" <td>1.578434</td>\n",
" <td>0.845343</td>\n",
" <td>0.315043</td>\n",
" <td>0.677687</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" CRIM ZN INDUS CHAS NOX RM AGE \\\n",
"0 -0.396809 -0.500320 -1.007111 -0.278089 -0.395412 0.141282 0.555916 \n",
"1 -0.400796 1.229499 -0.664391 3.595975 -0.931315 0.623942 -1.275254 \n",
"2 -0.395234 -0.500320 2.433163 -0.278089 0.446720 -0.469805 1.081663 \n",
"3 -0.396825 -0.500320 -0.025421 -0.278089 -1.220532 -0.354079 -2.172957 \n",
"4 0.167084 -0.500320 1.033237 -0.278089 1.331384 -0.026661 0.831307 \n",
"\n",
" DIS RAD TAX PTRATIO B LSTAT \n",
"0 -0.545853 -0.507797 -0.650926 -0.771951 0.428872 -0.481210 \n",
"1 0.126565 -0.624360 -0.903989 -0.322703 0.444180 -1.257094 \n",
"2 -0.911447 -0.624360 1.849573 0.800418 0.369934 0.790338 \n",
"3 0.694876 -0.624360 -0.596698 0.396095 0.378682 -0.976875 \n",
"4 -0.676503 1.706891 1.578434 0.845343 0.315043 0.677687 "
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X_test_scaled = pd.DataFrame(scaler.transform(X_test), columns=X_test.columns)\n",
"X_test_scaled.head()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "f66354e7",
"metadata": {},
"outputs": [],
"source": [
"from sklearn.manifold import TSNE\n",
"tsne = TSNE(n_components=2, learning_rate=250, random_state=42, init='random')\n",
"X_train_tsne = tsne.fit_transform(X_train_scaled)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "61ac5f4f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"До:\t(404, 13)\n",
"После:\t(404, 2)\n"
]
}
],
"source": [
"print('До:\\t{}'.format(X_train_scaled.shape))\n",
"print('После:\\t{}'.format(X_train_tsne.shape))"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "cf8cca07",
"metadata": {},
"outputs": [
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"source": [
"%matplotlib inline\n",
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"\n",
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"source": [
"## Задание 2\n",
"\n",
"С помощью KMeans разбейте данные из тренировочного набора на 3 кластера, используйте все признаки из датафрейма X_train.\n",
"\n",
"Параметр max_iter должен быть равен 100, random_state сделайте равным 42.\n",
"\n",
"Постройте еще раз диаграмму рассеяния на данных, полученных с помощью TSNE, и раскрасьте точки из разных кластеров разными цветами.\n",
"\n",
"Вычислите средние значения price и CRIM в разных кластерах.\n"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "745ac1c3",
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]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"from sklearn.cluster import KMeans\n",
"\n",
"model = KMeans(n_clusters=3, random_state=42, max_iter=100)\n",
"labels_train = model.fit_predict(X_train_scaled)\n",
"\n",
"plt.scatter(X_train_tsne[:, 0], X_train_tsne[:, 1], c=labels_train)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "d093c22e",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Среднее значение \"price\" в кластере № 1: 27.788372093023252\n",
"Среднее значение \"price\" в кластере № 2: 16.165354330708666\n",
"Среднее значение \"price\" в кластере № 3: 24.958115183246072\n"
]
}
],
"source": [
"print('Среднее значение \"price\" в кластере № 1: ', y_train[labels_train == 0].mean().values[0])\n",
"print('Среднее значение \"price\" в кластере № 2: ', y_train[labels_train == 1].mean().values[0])\n",
"print('Среднее значение \"price\" в кластере № 3: ', y_train[labels_train == 2].mean().values[0])"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "1b0551b1",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Среднее значение \"CRIM\" в кластере № 1: 0.07356558139534886\n",
"Среднее значение \"CRIM\" в кластере № 2: 10.797028425196853\n",
"Среднее значение \"CRIM\" в кластере № 3: 0.42166020942408367\n"
]
}
],
"source": [
"print('Среднее значение \"CRIM\" в кластере № 1: ', X_train['CRIM'][labels_train == 0].mean())\n",
"print('Среднее значение \"CRIM\" в кластере № 2: ', X_train['CRIM'][labels_train == 1].mean())\n",
"print('Среднее значение \"CRIM\" в кластере № 3: ', X_train['CRIM'][labels_train == 2].mean())"
]
},
{
"cell_type": "markdown",
"id": "eb3d3c49",
"metadata": {},
"source": [
"## * Задание 3\n",
"\n",
"Примените модель KMeans, построенную в предыдущем задании, к данным из тестового набора.\n",
"\n",
"Вычислите средние значения price и CRIM в разных кластерах на тестовых данных.\n"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "9421450d",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Среднее значение \"price\" в кластере № 1: 33.871428571428574\n",
"Среднее значение \"price\" в кластере № 2: 21.552830188679245\n",
"Среднее значение \"price\" в кластере № 3: 16.437142857142856\n",
"Среднее значение \"CRIM\" в кластере № 1: 0.08618571428571427\n",
"Среднее значение \"CRIM\" в кластере № 2: 0.25200716981132076\n",
"Среднее значение \"CRIM\" в кластере № 3: 10.165531142857143\n"
]
}
],
"source": [
"labels_test = model.fit_predict(X_test_scaled)\n",
"\n",
"print('Среднее значение \"price\" в кластере № 1: ', y_test[labels_test == 0].mean().values[0])\n",
"print('Среднее значение \"price\" в кластере № 2: ', y_test[labels_test == 1].mean().values[0])\n",
"print('Среднее значение \"price\" в кластере № 3: ', y_test[labels_test == 2].mean().values[0])\n",
"\n",
"print('Среднее значение \"CRIM\" в кластере № 1: ', X_test.loc[labels_test == 0, 'CRIM'].mean())\n",
"print('Среднее значение \"CRIM\" в кластере № 2: ', X_test.loc[labels_test == 1, 'CRIM'].mean())\n",
"print('Среднее значение \"CRIM\" в кластере № 3: ', X_test.loc[labels_test == 2, 'CRIM'].mean())\n",
"\n"
]
},
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"cell_type": "code",
"execution_count": null,
"id": "ad4afe18",
"metadata": {},
"outputs": [],
"source": []
}
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