7.2_unsupervised_learning.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "26e48050",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt \n",
    "from sklearn.datasets import load_iris\n",
    "from scipy.cluster.hierarchy import linkage,dendrogram,fcluster"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "48ed7879",
   "metadata": {},
   "outputs": [],
   "source": [
    "iris=load_iris()\n",
    "x=iris.data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "d8d9cce9",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  'C1',\n",
       "  'C1',\n",
       "  'C1',\n",
       "  'C1',\n",
       "  'C1',\n",
       "  'C1',\n",
       "  'C1',\n",
       "  'C1',\n",
       "  'C1',\n",
       "  'C1',\n",
       "  'C1',\n",
       "  'C1',\n",
       "  'C1',\n",
       "  'C1',\n",
       "  'C1',\n",
       "  'C1',\n",
       "  'C1',\n",
       "  'C1',\n",
       "  'C1',\n",
       "  'C1',\n",
       "  'C1',\n",
       "  'C1',\n",
       "  'C1',\n",
       "  'C1',\n",
       "  'C1',\n",
       "  'C1',\n",
       "  'C1',\n",
       "  'C1',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2',\n",
       "  'C2']}"
      ]
     },
     "execution_count": 4,
     "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.figure(figsize=(40,20),dpi=500)\n",
    "#plt.grid()\n",
    "linkage_=linkage(x,method='complete',)\n",
    "dendrogram(linkage_,)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "57e1fc0f",
   "metadata": {},
   "outputs": [],
   "source": [
    "y=fcluster(linkage_,3  ,criterion='distance')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "943e5d04",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,\n",
       "       4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,\n",
       "       4, 4, 4, 4, 4, 4, 2, 2, 2, 3, 2, 3, 2, 3, 2, 3, 3, 3, 3, 2, 3, 2,\n",
       "       3, 3, 2, 3, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 2, 2, 2,\n",
       "       3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 3, 3, 2, 2, 1, 2, 2, 1, 3, 1, 2, 1,\n",
       "       2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1,\n",
       "       2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], dtype=int32)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "751cc1a3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7d0833c05310>"
      ]
     },
     "execution_count": 7,
     "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(x[:,0],x[:,2],c=y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f87b04b3",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "88e5c5eb",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1a825184",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Machine_learning_Puyan_Rajiyan",
   "language": "python",
   "name": "machine_learning_puyan_rajiyan"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}