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{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "20fce00f",
   "metadata": {},
   "source": [
    "## Machine Learning\n",
    "### Mixture distributions\n",
    "A mixture distribution is a probabilistic model in which we assume our data points come from a finite number of individual distributions (also called mixture components). To generate data points for a mixture distribution, we use the following two steps one after the other:\n",
    "- First, select randomly one of the mixture components based on the given probability weights (called mixture weights).\n",
    "- Then, draw a sample (a data point) from the selected component.\n",
    "\n",
    "In the following, we use the Gaussian distributions in a mixture distribution. The data points of the Gaussian mixture distribution are then generated.\n",
    "<br>**Reminder:** We have seen in previous posts that each Gaussian (normal) distribution is represented by its mean vector, and covariance matrix. In the last post, we also displayed the ellipse of the covariance matrix of the normal distributions. In this post, we also display the ellipses of the covariance matrices.\n",
    "<br>\n",
    "<Br>https://github.com/ostad-ai/Machine-Learning\n",
    "<br>Explanation: https://www.pinterest.com/HamedShahHosseini/Machine-Learning/background-knowledge"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "84c6d039",
   "metadata": {},
   "outputs": [],
   "source": [
    "# importing the required modules\n",
    "from matplotlib import pyplot as plt\n",
    "import numpy as np\n",
    "from numpy.linalg import eig"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "74ae0061",
   "metadata": {},
   "outputs": [],
   "source": [
    "# example: in this cell we take N samples from the mixture distribution\n",
    "K=3 # number of components (Gaussians)\n",
    "N=1000 #number of samples\n",
    "means=[[1,2],[7,4],[9,0]]\n",
    "sigmas=[[[2,2],[2,7]],[[5,3],[3,2]],[[2,-2],[-2,4]]]\n",
    "phis=[.4,.3,.3]  # the sum must be 1\n",
    "# N samples taken from a mixture of K normal (Gaussian) distributions\n",
    "colors=['red','blue','green']\n",
    "xs=[]; cluster=[]\n",
    "for i in range(N):\n",
    "        z=np.random.choice(list(range(K)),p=phis)\n",
    "        cluster.append(colors[z])\n",
    "        xs.append(np.random.multivariate_normal(means[z],sigmas[z]))\n",
    "xs=np.asarray(xs)\n",
    "# each sample is a row vector in xs\n",
    "# the cluster to which each sample belongs to is held in cluster"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "4dc8b653",
   "metadata": {},
   "outputs": [],
   "source": [
    "# the function to get the points of the ellipse of covariance\n",
    "def ellipse_covariance(mean,sigma,Npoints=100):\n",
    "    ts = np.linspace(0, 2*np.pi, Npoints);\n",
    "    eigvals,eigvecs=eig(sigma)\n",
    "    points = (np.sqrt(eigvals[np.newaxis,:]) * eigvecs) @ [np.cos(ts), np.sin(ts)]\n",
    "    return points[0]+mean[0],points[1]+mean[1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "b82ca68c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# showing the samples along the ellipses of the covariance of the Gaussians\n",
    "for mean,sigma in zip(means,sigmas):\n",
    "    points=ellipse_covariance(mean,sigma)\n",
    "    plt.plot(points[0],points[1],c='black')\n",
    "plt.scatter(xs[:,0],xs[:,1],s=7,alpha=.2,c=cluster)\n",
    "plt.title('Samples are the colorful dots. The covariance ellipses of the three Gaussians are in black')\n",
    "plt.axis('equal')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ebad3074",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.11.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}