k-means.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import plotly.offline as py\n",
    "import plotly.graph_objs as go\n",
    "\n",
    "from sklearn.datasets import make_blobs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "NUM_ITERATIONS = 50\n",
    "def kmeans(blobs, k):\n",
    "    centers = blobs[np.random.randint(0, blobs.shape[0], k)]\n",
    "    centers_x = centers[:, 0].reshape(-1, 1)\n",
    "    centers_y = centers[:, 1].reshape(-1, 1)\n",
    "    for i in range(NUM_ITERATIONS):\n",
    "        dist_x = blobs[:, 0] - centers_x\n",
    "        dist_y = blobs[:, 1] - centers_y\n",
    "        dist = np.sqrt(dist_x ** 2 + dist_y ** 2)\n",
    "        centers = np.argmin(dist, axis=0).reshape(-1, 1)\n",
    "        res = np.hstack((blobs, centers))\n",
    "        for j in range(k):\n",
    "            centers_x[j, 0] = res[res[:, 2] == j][:, 0].mean()\n",
    "            centers_y[j, 0] = res[res[:, 2] == j][:, 1].mean()\n",
    "    return res\n",
    "    \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "blobs = make_blobs(500, 2, 4)[0]\n",
    "cc = kmeans(blobs, 4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bb = go.Scatter(x=cc[:, 0], y=cc[:, 1], marker=dict(color=cc[:, 2]), mode='markers')\n",
    "py.iplot([bb])"
   ]
  },
  {
   "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": "3.6.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}