k-means-cluster.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import random"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_clusters(clusters, xlim=None, ylim=None):\n",
    "    if xlim is not None:\n",
    "        plt.xlim(xlim[0],xlim[1])\n",
    "    if ylim is not None:\n",
    "        plt.ylim(ylim[0],ylim[1])\n",
    "\n",
    "    for cluster in clusters:\n",
    "        plt.scatter(cluster[\"x\"], cluster[\"y\"])\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "cluster_specs = [\n",
    "    {\"x\": 50, \"y\": 110, \"distance\": 60},\n",
    "    {\"x\": 110, \"y\": 100, \"distance\": 100},\n",
    "    {\"x\": 90, \"y\": 200, \"distance\": 50},\n",
    "    {\"x\": 130, \"y\": 40, \"distance\": 60},\n",
    "    {\"x\": 220, \"y\": 165, \"distance\": 50}]\n",
    "\n",
    "clusters_original = []\n",
    "clusters_x = np.array([])\n",
    "clusters_y = np.array([])\n",
    "\n",
    "# Modified from - https://stackoverflow.com/a/54247969/3036367\n",
    "for cluster in cluster_specs:\n",
    "    cluster_size = random.randrange(10,160)\n",
    "    x = np.random.uniform(cluster[\"x\"], cluster[\"x\"] + cluster[\"distance\"], size=(cluster_size,))\n",
    "    y = np.random.uniform(cluster[\"y\"], cluster[\"y\"] + cluster[\"distance\"], size=(cluster_size,))\n",
    "    #y = np.random.normal(cluster_centre[1], distance, size=(cluster_size,))\n",
    "    \n",
    "    clusters_original.append({\"x\": x,\"y\": y})\n",
    "    clusters_x = np.concatenate((clusters_x, x))\n",
    "    clusters_y = np.concatenate((clusters_y, y))\n",
    "\n",
    "data = {\"x\": clusters_x, \"y\": clusters_y}\n",
    "\n",
    "plot_clusters(clusters_original,\n",
    "    (np.amin(data[\"x\"])-10, np.amax(data[\"x\"])+10),\n",
    "    (np.amin(data[\"y\"])-10, np.amax(data[\"y\"])+10))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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   "source": [
    "plot_clusters([data],\n",
    "    (np.amin(data[\"x\"])-10, np.amax(data[\"x\"])+10),\n",
    "    (np.amin(data[\"y\"])-10, np.amax(data[\"y\"])+10))"
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   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "def initialise_centroid(data):\n",
    "    # The centroid could be anywhere but certainly will be within the dataset's min and max\n",
    "    x_min = int(np.amin(data[\"x\"]))\n",
    "    x_max = int(np.amax(data[\"x\"]))\n",
    "    y_min = int(np.amin(data[\"y\"]))\n",
    "    y_max = int(np.amax(data[\"y\"]))\n",
    "    x = random.randrange(x_min, x_max)\n",
    "    y = random.randrange(y_min, y_max)\n",
    "    return {\"x\": x, \"y\": y}\n",
    "\n",
    "def initialise_clusters(data, k):\n",
    "    clusters = []\n",
    "    for i in range(k):\n",
    "        centroid = initialise_centroid(data)\n",
    "        clusters.append({\"x\": [], \"y\": [], \"centroid\": centroid})\n",
    "    return clusters\n",
    "        \n",
    "def wipe_clusters(clusters):\n",
    "    for cluster in clusters:\n",
    "        cluster[\"x\"] = []\n",
    "        cluster[\"y\"] = []\n",
    "\n",
    "def find_distance(point, centroid):\n",
    "    # Pythagorus' theorem to get distance between two points\n",
    "    distance_x = abs(point[\"x\"] - centroid[\"x\"])\n",
    "    distance_y = abs(point[\"y\"] - centroid[\"y\"])\n",
    "    sum_of_squares = pow(distance_x,2) + pow(distance_y,2)\n",
    "    return pow(sum_of_squares, 1/2) \n",
    "\n",
    "def add_point_to_cluster(cluster, point):\n",
    "    cluster[\"x\"].append(point[\"x\"])\n",
    "    cluster[\"y\"].append(point[\"y\"])\n",
    "\n",
    "def add_point_to_cluster_with_nearest_centroid(point, clusters):\n",
    "    nearest_centroid_i = None\n",
    "    nearest_distance = None\n",
    "    for i, cluster in enumerate(clusters):\n",
    "        distance = find_distance(point, cluster[\"centroid\"])\n",
    "        if nearest_distance is None or distance < nearest_distance:\n",
    "            nearest_distance = distance\n",
    "            nearest_centroid_i = i\n",
    "    add_point_to_cluster(clusters[nearest_centroid_i], point)\n",
    "\n",
    "def update_centroids(clusters):\n",
    "    for cluster in clusters:\n",
    "        total_x = 0\n",
    "        total_y = 0\n",
    "        for x, y in zip(cluster[\"x\"], cluster[\"y\"]):\n",
    "            total_x += x\n",
    "            total_y += y\n",
    "        try:\n",
    "            average_x = total_x / len(cluster[\"x\"])\n",
    "            average_y = total_y / len(cluster[\"y\"])\n",
    "        except ZeroDivisionError:\n",
    "            continue\n",
    "        cluster[\"centroid\"][\"x\"] = average_x\n",
    "        cluster[\"centroid\"][\"y\"] = average_y\n",
    "    \n",
    "def k_means_cluster(data, k=2, target_epochs=50):\n",
    "    clusters = initialise_clusters(data, k)\n",
    "    for _ in range(target_epochs):\n",
    "        wipe_clusters(clusters)\n",
    "        for x, y in zip(data[\"x\"], data[\"y\"]):\n",
    "            point = {\"x\": x, \"y\": y}\n",
    "            add_point_to_cluster_with_nearest_centroid(point, clusters)\n",
    "        update_centroids(clusters)\n",
    "        \"\"\"\n",
    "        plot_clusters(clusters,\n",
    "            (np.amin(data[\"x\"])-10, np.amax(data[\"x\"])+10),\n",
    "            (np.amin(data[\"y\"])-10, np.amax(data[\"y\"])+10))\n",
    "        \"\"\"\n",
    "    return clusters\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "clusters = k_means_cluster(data, k=5)\n",
    "plot_clusters(clusters,\n",
    "    (np.amin(data[\"x\"])-10, np.amax(data[\"x\"])+10),\n",
    "    (np.amin(data[\"y\"])-10, np.amax(data[\"y\"])+10))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'\\nimport matplotlib.pyplot as plt\\nimport numpy as np\\nimport matplotlib.animation as animation\\nfrom IPython.display import HTML\\n\\ndef main():\\n    numframes = 100\\n    numpoints = 10\\n    color_data = np.random.random((numframes, numpoints))\\n    x, y, c = np.random.random((3, numpoints))\\n    \\n    fig = plt.figure()\\n    scat = plt.scatter(x, y, c=c)\\n\\n    ani = animation.FuncAnimation(fig, update_plot, frames=50, interval=200, blit=True,\\n                                  fargs=(color_data, scat))\\n\\n    HTML(ani.to_html5_video())\\n\\ndef update_plot(i, data, scat):\\n    print(i)\\n    scat.set_array(data[i])\\n    return scat,\\n\\nmain()\\n'"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# An attempt to animate the process...\n",
    "\"\"\"\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import matplotlib.animation as animation\n",
    "from IPython.display import HTML\n",
    "\n",
    "def main():\n",
    "    numframes = 100\n",
    "    numpoints = 10\n",
    "    color_data = np.random.random((numframes, numpoints))\n",
    "    x, y, c = np.random.random((3, numpoints))\n",
    "    \n",
    "    fig = plt.figure()\n",
    "    scat = plt.scatter(x, y, c=c)\n",
    "\n",
    "    ani = animation.FuncAnimation(fig, update_plot, frames=50, interval=200, blit=True,\n",
    "                                  fargs=(color_data, scat))\n",
    "\n",
    "    HTML(ani.to_html5_video())\n",
    "\n",
    "def update_plot(i, data, scat):\n",
    "    print(i)\n",
    "    scat.set_array(data[i])\n",
    "    return scat,\n",
    "\n",
    "main()\n",
    "\"\"\""
   ]
  }
 ],
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