{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "e27c3163-ab01-4e61-b8e0-e051961c6c90",
   "metadata": {},
   "outputs": [],
   "source": [
    "import seaborn as sns \n",
    "import matplotlib.pyplot as plt \n",
    "import pandas as pd \n",
    "import numpy as np\n",
    "%matplotlib inline "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "d94e60e7-8729-493c-9656-47a449b1eca1",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import make_blobs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "e7897bd1-a01a-43a4-abaa-a854e2c32352",
   "metadata": {},
   "outputs": [],
   "source": [
    "data = make_blobs(n_samples=400, n_features= 2,\n",
    "                  centers= 4, cluster_std= 1.8, random_state= 101)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "d67c9cda-083d-4dfb-8ef5-2a7e58757842",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tuple"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "type(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "d16c479c-4546-4293-aa00-cbcac9c3f5d2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(400, 2)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[0].shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "26a5c04d-33d7-4a39-9d81-78e04a56ccc5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(400,)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[1].shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "0b449f5d-48ba-46ce-856e-c255de72408d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 0, 3, 3, 2, 3, 0, 1, 0, 1, 3, 0, 2, 0, 2, 1, 0, 1, 3, 3])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[1][:20]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "d08a944f-2730-457f-95f0-44c609290a32",
   "metadata": {},
   "outputs": [],
   "source": [
    "data_df = pd.DataFrame(data[0], columns=['feature1', 'feature2'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "f5409f7e-2f8c-48db-8c43-7c2dfb5183d1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\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>feature1</th>\n",
       "      <th>feature2</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>-0.349761</td>\n",
       "      <td>1.827957</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-3.304730</td>\n",
       "      <td>2.745571</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>-4.625663</td>\n",
       "      <td>7.141258</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>-3.777564</td>\n",
       "      <td>9.421022</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2.676459</td>\n",
       "      <td>9.240144</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>395</th>\n",
       "      <td>-6.192334</td>\n",
       "      <td>-8.932703</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>396</th>\n",
       "      <td>-2.188949</td>\n",
       "      <td>1.018592</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>397</th>\n",
       "      <td>-2.988764</td>\n",
       "      <td>8.072883</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>398</th>\n",
       "      <td>0.923531</td>\n",
       "      <td>-0.500136</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>399</th>\n",
       "      <td>-4.741854</td>\n",
       "      <td>7.517784</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>400 rows × 2 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     feature1  feature2\n",
       "0   -0.349761  1.827957\n",
       "1   -3.304730  2.745571\n",
       "2   -4.625663  7.141258\n",
       "3   -3.777564  9.421022\n",
       "4    2.676459  9.240144\n",
       "..        ...       ...\n",
       "395 -6.192334 -8.932703\n",
       "396 -2.188949  1.018592\n",
       "397 -2.988764  8.072883\n",
       "398  0.923531 -0.500136\n",
       "399 -4.741854  7.517784\n",
       "\n",
       "[400 rows x 2 columns]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "838a0e2f-71fc-4eca-874e-10582122f41b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7fe806cf1f40>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(data[0][:, 0], data[0][:, 1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "13f81ac2-abf1-4767-afd5-1a3538efe21b",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import KMeans"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "837e9f00-ab7c-4616-99fa-b3862aaed6d2",
   "metadata": {},
   "outputs": [],
   "source": [
    "kmeans = KMeans(n_clusters=4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "7fb66768-710f-4f1f-b59c-35dd7556824e",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/gptuser/ai-env4/lib/python3.8/site-packages/sklearn/cluster/_kmeans.py:1416: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n",
      "  super()._check_params_vs_input(X, default_n_init=10)\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-1 {color: black;}#sk-container-id-1 pre{padding: 0;}#sk-container-id-1 div.sk-toggleable {background-color: white;}#sk-container-id-1 label.sk-toggleable__label {cursor: pointer;display: block;width: 100%;margin-bottom: 0;padding: 0.3em;box-sizing: border-box;text-align: center;}#sk-container-id-1 label.sk-toggleable__label-arrow:before {content: \"▸\";float: left;margin-right: 0.25em;color: #696969;}#sk-container-id-1 label.sk-toggleable__label-arrow:hover:before {color: black;}#sk-container-id-1 div.sk-estimator:hover label.sk-toggleable__label-arrow:before {color: black;}#sk-container-id-1 div.sk-toggleable__content {max-height: 0;max-width: 0;overflow: hidden;text-align: left;background-color: #f0f8ff;}#sk-container-id-1 div.sk-toggleable__content pre {margin: 0.2em;color: black;border-radius: 0.25em;background-color: #f0f8ff;}#sk-container-id-1 input.sk-toggleable__control:checked~div.sk-toggleable__content {max-height: 200px;max-width: 100%;overflow: auto;}#sk-container-id-1 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {content: \"▾\";}#sk-container-id-1 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 input.sk-hidden--visually {border: 0;clip: rect(1px 1px 1px 1px);clip: rect(1px, 1px, 1px, 1px);height: 1px;margin: -1px;overflow: hidden;padding: 0;position: absolute;width: 1px;}#sk-container-id-1 div.sk-estimator {font-family: monospace;background-color: #f0f8ff;border: 1px dotted black;border-radius: 0.25em;box-sizing: border-box;margin-bottom: 0.5em;}#sk-container-id-1 div.sk-estimator:hover {background-color: #d4ebff;}#sk-container-id-1 div.sk-parallel-item::after {content: \"\";width: 100%;border-bottom: 1px solid gray;flex-grow: 1;}#sk-container-id-1 div.sk-label:hover label.sk-toggleable__label {background-color: #d4ebff;}#sk-container-id-1 div.sk-serial::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: 0;}#sk-container-id-1 div.sk-serial {display: flex;flex-direction: column;align-items: center;background-color: white;padding-right: 0.2em;padding-left: 0.2em;position: relative;}#sk-container-id-1 div.sk-item {position: relative;z-index: 1;}#sk-container-id-1 div.sk-parallel {display: flex;align-items: stretch;justify-content: center;background-color: white;position: relative;}#sk-container-id-1 div.sk-item::before, #sk-container-id-1 div.sk-parallel-item::before {content: \"\";position: absolute;border-left: 1px solid gray;box-sizing: border-box;top: 0;bottom: 0;left: 50%;z-index: -1;}#sk-container-id-1 div.sk-parallel-item {display: flex;flex-direction: column;z-index: 1;position: relative;background-color: white;}#sk-container-id-1 div.sk-parallel-item:first-child::after {align-self: flex-end;width: 50%;}#sk-container-id-1 div.sk-parallel-item:last-child::after {align-self: flex-start;width: 50%;}#sk-container-id-1 div.sk-parallel-item:only-child::after {width: 0;}#sk-container-id-1 div.sk-dashed-wrapped {border: 1px dashed gray;margin: 0 0.4em 0.5em 0.4em;box-sizing: border-box;padding-bottom: 0.4em;background-color: white;}#sk-container-id-1 div.sk-label label {font-family: monospace;font-weight: bold;display: inline-block;line-height: 1.2em;}#sk-container-id-1 div.sk-label-container {text-align: center;}#sk-container-id-1 div.sk-container {/* jupyter's `normalize.less` sets `[hidden] { display: none; }` but bootstrap.min.css set `[hidden] { display: none !important; }` so we also need the `!important` here to be able to override the default hidden behavior on the sphinx rendered scikit-learn.org. See: https://github.com/scikit-learn/scikit-learn/issues/21755 */display: inline-block !important;position: relative;}#sk-container-id-1 div.sk-text-repr-fallback {display: none;}</style><div id=\"sk-container-id-1\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>KMeans(n_clusters=4)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-1\" type=\"checkbox\" checked><label for=\"sk-estimator-id-1\" class=\"sk-toggleable__label sk-toggleable__label-arrow\">KMeans</label><div class=\"sk-toggleable__content\"><pre>KMeans(n_clusters=4)</pre></div></div></div></div></div>"
      ],
      "text/plain": [
       "KMeans(n_clusters=4)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmeans.fit(data[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "7e6d15a3-939f-439e-8026-19a8e294ee10",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([3, 3, 0, 0, 2, 0, 3, 1, 3, 1, 0, 3, 2, 3, 2, 1, 3, 1, 0, 0, 3, 0,\n",
       "       3, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 3, 2, 3, 2, 3, 3, 2,\n",
       "       1, 1, 2, 3, 3, 2, 1, 0, 3, 1, 1, 2, 0, 3, 0, 1, 3, 3, 0, 2, 2, 3,\n",
       "       1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2,\n",
       "       0, 0, 2, 1, 3, 1, 1, 3, 3, 1, 2, 3, 0, 1, 0, 1, 0, 0, 3, 2, 0, 3,\n",
       "       0, 1, 3, 0, 2, 3, 1, 3, 3, 2, 0, 2, 0, 0, 0, 0, 3, 2, 1, 3, 0, 0,\n",
       "       0, 1, 0, 2, 3, 2, 2, 3, 3, 0, 1, 1, 1, 0, 2, 3, 3, 2, 3, 2, 1, 1,\n",
       "       0, 3, 3, 0, 1, 0, 3, 3, 2, 0, 1, 0, 1, 2, 3, 3, 3, 0, 2, 0, 1, 3,\n",
       "       1, 3, 3, 3, 0, 1, 0, 1, 3, 3, 3, 1, 2, 2, 1, 2, 0, 3, 0, 1, 2, 0,\n",
       "       0, 3, 0, 3, 2, 0, 1, 2, 2, 1, 1, 1, 3, 3, 1, 2, 1, 0, 2, 1, 1, 1,\n",
       "       3, 1, 2, 3, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 3, 0, 1, 1, 0, 0, 0, 0,\n",
       "       2, 3, 0, 1, 2, 1, 3, 1, 2, 2, 3, 1, 2, 2, 1, 0, 3, 3, 1, 2, 2, 0,\n",
       "       2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 3, 0, 2, 0, 1, 0, 3, 2, 3, 0, 3, 2,\n",
       "       2, 3, 2, 2, 3, 1, 0, 0, 1, 0, 2, 0, 3, 0, 2, 3, 1, 3, 1, 3, 1, 0,\n",
       "       3, 0, 3, 0, 1, 0, 0, 0, 0, 3, 1, 1, 0, 3, 1, 3, 3, 2, 1, 1, 2, 3,\n",
       "       0, 2, 1, 1, 3, 0, 0, 2, 1, 0, 1, 0, 1, 3, 0, 2, 3, 0, 2, 1, 0, 3,\n",
       "       1, 1, 0, 0, 0, 3, 2, 1, 2, 2, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 3, 0,\n",
       "       3, 1, 2, 0, 3, 3, 1, 3, 3, 2, 0, 2, 3, 2, 2, 0, 0, 1, 3, 3, 1, 1,\n",
       "       3, 0, 3, 0], dtype=int32)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmeans.labels_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "261c938d-4b41-4e62-9a63-4b3a6b1af45e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "numpy.ndarray"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "type(data[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "502ca977-7664-4d82-b61c-e80be16a73e5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(400, 2)"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[0].shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "69e212cf-eb43-4df0-b798-13d5c07fe2f9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7fe7f6784160>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, (ax1, ax2) = plt.subplots(1, 2, sharey=True, figsize = (10, 6))\n",
    "\n",
    "ax1.set_title('K Means Predictions')\n",
    "ax1.scatter(data[0][:, 0], data[0][:, 1],\n",
    "            c = kmeans.labels_, cmap = 'rainbow')\n",
    "\n",
    "ax2.set_title('K Means Original Data')\n",
    "ax2.scatter(data[0][:, 0], data[0][:, 1],\n",
    "            c = data[1], cmap = 'rainbow')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "648f92eb-3e54-46e4-83bb-530bf88099fa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-3.60226884,  7.66156347],\n",
       "       [-9.45959498, -6.50232992],\n",
       "       [ 4.24750582,  6.35412321],\n",
       "       [ 0.25442413,  1.58838735]])"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmeans.cluster_centers_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9e94ce1c-eaab-4b44-a1b9-af51b17fcbe2",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python (ai-env4)",
   "language": "python",
   "name": "ai-env4"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
