{
 "metadata": {
  "name": ""
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "This is a Python implementation of MATLAB demo code provided by the course *Monte Carlo Methods in Finance* provided by iversity.org\n",
      "\n",
      "https://iversity.org/my/courses/monte-carlo-methods-in-finance/\n"
     ]
    },
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Week 3"
     ]
    },
    {
     "cell_type": "heading",
     "level": 4,
     "metadata": {},
     "source": [
      "demoCode_linearCongruentialGenerator: linear congrential maps to generate U[0,1] pseudorandom numbers -- Lecture 3.1"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from __future__ import division\n",
      "import numpy as np\n",
      "import matplotlib.pyplot as plt\n",
      "from mpl_toolkits.mplot3d import Axes3D # for 3D plots"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "A poor Linear Congrential Generator (pseudo-random number generator)"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# Pseudo-random number generator\n",
      "def linearCongruentialRand(N,a,c,m,k):\n",
      "    \"\"\"A Linear Congruential Pseudo-Random Number Generator.\n",
      "    \n",
      "    Generates a sequence of apparent randum numbers in the interval [0,1] using the LCG method.\n",
      "    \n",
      "    INPUT:\n",
      "        N : Number of U[0,1] samples to generate\n",
      "        a : Multiplier\n",
      "        c : Increment\n",
      "        m : Modulus\n",
      "        k : Seed of the generator        \n",
      "\n",
      "    OUTPUT:\n",
      "        U : row vector with N samples from U[0,1]     \n",
      "    \"\"\"\n",
      "    U = np.zeros((N,))\n",
      "    U[0] = k / m\n",
      "    for n in range(2, N):\n",
      "        k = np.mod(a*k+c, m)\n",
      "        U[n] = k / m\n",
      "    return U"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# A function to plot our results\n",
      "# it uses three consecutive values in the series as the (x,y,z) coordinate\n",
      "def plotResults(U, ax=None):\n",
      "    \"\"\"A wrapper for making 3D scatter plots of the random numbers. \n",
      "    \n",
      "    The (x, y, z) values of each plotpoint corresponds to three consecutive values of the row vector U.\n",
      "    \n",
      "    For the poor LCG it reveals a pattern -- a correlation among the 'random' numbers.\n",
      "    \n",
      "    INPUT:\n",
      "        U : a row vector of 'random' numbers on the interval.\n",
      "        ax (optional) : an Axes3D object in which the figure is plotted. \n",
      "        If no object is provided the function initializes one\n",
      "\n",
      "    OUTPUT:\n",
      "        ax : an Axes3D object which can be used to set properties of the figure such as titles and axes labels.\n",
      "    \"\"\"\n",
      "    \n",
      "    if ax is None:\n",
      "        fig = plt.figure(figsize=(8, 8))\n",
      "        ax = fig.add_subplot(111, projection='3d')\n",
      "    ax.scatter(U[:-2:3], U[1:-1:3], U[2::3], s=1)\n",
      "    ax.view_init(15, 54.5) # this is the angle (in degrees) at which the plot is viewed (elevation and azimuth respectively)\n",
      "    # the angles required some finetuning to visualize the pattern of the pseudo random numbers\n",
      "    return ax\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 3
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "m = 2**31 # generate integers in  the range 0..(m-1)\n",
      "a = 65539 # multiplier\n",
      "c = 0     # increment\n",
      "\n",
      "k = 1969  # seed\n",
      "N = 30000 # number of samples\n",
      "\n",
      "# generate N samples U[0,1]\n",
      "U = linearCongruentialRand(N,a,c,m,k)\n",
      "\n",
      "# plot the random numbers in the unit cube\n",
      "ax = plotResults(U)\n",
      "ax.set_title('A poor LCG generator');"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAcwAAAHMCAYAAABY25iGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ndRwAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7ddee10>"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "For this set of special parameters the consecutive random numbers shows a clear correlation. A clear pattern is revealed when we plot $u_k$ against $9u_k-6u_{k+1}+u_{k+2}$."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "z = 9*U[:-2]-6*U[1:-1]+U[2:]\n",
      "\n",
      "fig = plt.figure(figsize=(6,6))\n",
      "ax = fig.add_subplot(111)\n",
      "ax.scatter(U[:-2], z, s=2)\n",
      "\n",
      "ax.set_xlabel(r'$u_k$', fontsize=20)\n",
      "ax.set_ylabel(r'$9u_k-6u_{k+1}+u_{k+2}$', fontsize=20) \n",
      "plt.show()\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAZEAAAGICAYAAACA+N0EAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x8728828>"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "An improvement is a Park and Miller LCG. It does exhibit the same obvious correlation among consecutive numbers."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "m = 2**31-1   # generate integers in  the range 0..(m-1)\n",
      "a = 7**5      # multiplier\n",
      "c = 0        # increment\n",
      "\n",
      "k = 1969  # seed\n",
      "N = 30000 # number of samples\n",
      "\n",
      "# generate N samples U[0,1]\n",
      "U = linearCongruentialRand(N,a,c,m,k)\n",
      "\n",
      "# plot the random numbers in the unit cube\n",
      "ax = plotResults(U)\n",
      "ax.set_title('Park & Miller LCG');"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAcwAAAHMCAYAAABY25iGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nDSaFQqFQKDygBpNCoVAoFB78PwyUBWp/6k0tAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x83f2128>"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Finally, we also have the built-in version of a randum number generator: rand."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "np.random.seed(123)\n",
      "N = 30000\n",
      "U = np.random.rand(N)\n",
      "\n",
      "ax = plotResults(U)\n",
      "ax.set_title('rand');"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAcwAAAHMCAYAAABY25iGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x83c5390>"
       ]
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "heading",
     "level": 4,
     "metadata": {},
     "source": [
      "demo_lognormal_randomNumberGenerator: generate LN[mu,sigma] random numbers -- Lecture 3.2"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Next we look at a random number generator for the lognormal distribution. These are generated by making use of the built-in randum number generator for Gaussian variables, randn."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "mu    = 0.1\n",
      "sigma = 0.4\n",
      "\n",
      "M = 1000\n",
      "N = 100\n",
      "\n",
      "# simulate X ~ N(mu,sigma)\n",
      "X = mu + sigma*np.random.randn(M,N)\n",
      "\n",
      "# simulate LN[mu,sigma]\n",
      "Y = np.exp(X)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 8
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# graphicalComparisonPdf was defined in Week 2\n",
      "# I saved it to a module, and import the function. You can find the function definition on the github account or in Week 2.\n",
      "from scipy.stats import lognorm\n",
      "from custom_functions_iversity import graphicalComparisonPdf \n",
      "\n",
      "# As before, we define our own lognormal PDF function which works like MATLAB's implementation.\n",
      "def lognpdf(x, mean, sig):\n",
      "    return lognorm.pdf(x, scale = np.exp(mean), s = sig)\n",
      "\n",
      "def modelPDF(x):\n",
      "    return lognpdf(x, mu, sigma)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 9
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Comparing the generated values against the true PDF"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "graphicalComparisonPdf(Y, modelPDF)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAYEAAAEPCAYAAACk43iMAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIZyYJAEhhHBi/w8Axaqm+vVieQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x83f4d68>"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "heading",
     "level": 4,
     "metadata": {},
     "source": [
      "demo_Bernoulli_randomNumberGenerator: generate Bernoulli[p] random numbers -- lecture 3.3"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The Bernoulli distribution can be found here: https://en.wikipedia.org/wiki/Bernoulli_distribution . It has a single free parameter, $0 < p < 1$. Simulating Bernoulli random variables is done using `rand`."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "p = 0.8\n",
      "\n",
      "M = 50\n",
      "N = 10\n",
      "\n",
      "# simulate U ~ U[0,1]\n",
      "U = rand(M,N)\n",
      "\n",
      "# simulate Bernoulli[mu,sigma]\n",
      "xi = (U < p) # Note: xi is a boolean array."
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 11
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Fraction of '0' and '1' over all samples."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "f0 = np.mean(~xi, axis = 1) # mean number of 0's per sample.\n",
      "f1 = np.mean(xi, axis = 1)  # ~ means negation."
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 12
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Distribution of 0's and 1's visualized through a boxplot. The red line shows the true value of p and 1-p."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.figure()\n",
      "plt.hold(True)\n",
      "plt.boxplot([f0,f1], usermedians = [1-p, p]);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAW8AAAEACAYAAAB8nvebAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAADtVJREFUeJzt3U9s0/Ufx/FXTXsgYGATM13bZGqbtQh0xMFEgykmZoTE\nxQCHkhgJLGRZXAg3Ez3QeVDnTe1lJIqJaDMPxnGYJRmhxqA4ozBMQBwmi10NSxYlSEz4U/s7+LMy\nurZjfLfu3T0fCWRlH/p9Q7YnX9pP+3Xl8/m8AACm3FftAQAAd494A4BBxBsADCLeAGAQ8QYAg4g3\nABhUMd779u1TQ0OD1q1bV3LNgQMHFAwGFYlEdObMGUcHBAAUqxjvvXv3KpVKlfz80NCQLl26pLGx\nMR0+fFjd3d2ODggAKFYx3lu2bFFdXV3Jzx87dkx79uyRJLW1tenKlSuanJx0bkIAQJF7fsw7m83K\n7/cXbvt8Pk1MTNzr3QIAynDkCcs7X2HvcrmcuFsAQAnue70Dr9erTCZTuD0xMSGv11u0rqWlRaOj\no/d6OABYUiKRiM6ePVv06/cc746ODiUSCcViMZ0+fVqrVq1SQ0ND0brR0dGiM3TMXTweVzwer/YY\nQBG+Np1V6pGMivHevXu3vvzyS01NTcnv96u3t1c3b96UJHV1dWn79u0aGhpSIBDQ8uXLdeTIEWcn\nBwAUqRjvZDJZ8U4SiYQjwwAAZodXWBoVjUarPQIwo/HxaLVHWBJcC3UxBpfLxWPewBLgckl8qzun\nVDs58wYAg4g3ABhEvAHAIOINAAYRbwCOOnSo2hMsDew2AYBFjN0mAFBDiDcAGES8AcAg4g0ABhFv\nAI7i3WAXBrtNADiK9zZxFrtNAKCGEG8AMIh4A4BBxBsADCLeAEqqr//nCci7+SHd/e+pr6/un9Mi\ndpsAKGmhdo6wQ6U0dpsAQA0h3gBgEPEGAIOINwAYRLwBwCDiDQAGEW8AMIh4A4BBxBsADCLeAGAQ\n8QYAg4g3ABhEvAHAIOINAAYRbwAwiHgDgEEV451KpRQKhRQMBtXX11f0+ampKW3btk0tLS1au3at\nPvzww/mYEwBwm7JX0snlcmpubtbw8LC8Xq82btyoZDKpcDhcWBOPx3X9+nW9+eabmpqaUnNzsyYn\nJ+V2u6cfiCvpAOZwJZ3qm9OVdEZGRhQIBNTU1CSPx6NYLKbBwcFpax5++GFdvXpVknT16lU98MAD\nReEGADirbGWz2az8fn/hts/n07fffjttzf79+/Xss8+qsbFRf/75pz799NP5mRQAUFA23q5/LwVd\nxhtvvKGWlhal02n98ssveu655zQ6Oqr777+/aG08Hi98HI1GFY1G73pgAAsnL5dUOQMOHOe/n5e6\ndDqtdDpdcV3ZeHu9XmUymcLtTCYjn883bc3XX3+t1157TZL02GOP6ZFHHtHFixfV2tpadH+3xxvA\n4udSfuEe857/w5hw54ltb2/vjOvKPubd2tqqsbExjY+P68aNGxoYGFBHR8e0NaFQSMPDw5KkyclJ\nXbx4UY8++ug9jg8AKKfsmbfb7VYikVB7e7tyuZw6OzsVDofV398vSerq6tKrr76qvXv3KhKJ6O+/\n/9bbb7+t+vr6BRkeAJaqslsFHT0QWwUBc9gqWH1z2ioIAFiciDcAGES8AcAg4g0ABhFvADCIeAOA\nQcQbAAwi3gBgEPEGAIOINwAYRLwBwCDiDQAGEW8AMIh4A4BBxBsADCLeAGAQ8QYAg4g3ABhU9hqW\nAOByzf8x6urm/xi1hngDKGku15XkepQLg4dNAMAg4g0ABhFvADCIeAOAQcQbgKMOHar2BEuDK59f\nmOeFXS6XFuhQAFAzSrWTM28AMIh4A4BBxBsADCLeAGAQ8QbgqHi82hMsDew2AeAo3tvEWew2AYAa\nQrwBwCDiDQAGVYx3KpVSKBRSMBhUX1/fjGvS6bQ2bNigtWvXKhqNOj0jAOAOZS/GkMvl1NPTo+Hh\nYXm9Xm3cuFEdHR0Kh8OFNVeuXNHLL7+s48ePy+fzaWpqat6HBrB48d4mC6PsmffIyIgCgYCamprk\n8XgUi8U0ODg4bc0nn3yinTt3yufzSZJWr149f9MCWPTYKrgwysY7m83K7/cXbvt8PmWz2WlrxsbG\n9Pvvv2vr1q1qbW3VRx99ND+TAgAKyj5s4prFlUdv3rypH374QSdOnNBff/2lzZs368knn1QwGHRs\nSADAdGXj7fV6lclkCrczmUzh4ZF/+f1+rV69WsuWLdOyZcv0zDPPaHR0dMZ4x2/7/1Q0GuXJTcCw\n2Zzc3YkX6lWWTqeVTqcrriv7Cstbt26publZJ06cUGNjozZt2qRkMjntCcuffvpJPT09On78uK5f\nv662tjYNDAxozZo10w/EKywB4K6VamfZM2+3261EIqH29nblcjl1dnYqHA6rv79fktTV1aVQKKRt\n27Zp/fr1uu+++7R///6icAMAnMV7mwDAIsZ7mwBADSHeAGAQ8QYAg4g3ABhEvAHAIOINAAYRbwAw\niHgDgEHEGwAMIt4AYBDxBgCDiDcAGES8AcAg4g0ABhFvADCIeAOAQcQbAAwi3gBgEPEGAIOINwAY\nRLwBwCDiDQAGEW8AMIh4A4BBxBsADCLeAGAQ8QYAg4g3ABhEvAHAIOINAAYRbwAwiHgDgEHEGwAM\nIt4AYBDxBgCDiDcAGFQx3qlUSqFQSMFgUH19fSXXfffdd3K73frss88cHRAAUKxsvHO5nHp6epRK\npXT+/Hklk0lduHBhxnWvvPKKtm3bpnw+P2/DAgD+UTbeIyMjCgQCampqksfjUSwW0+DgYNG69957\nT7t27dKDDz44b4MCAP5TNt7ZbFZ+v79w2+fzKZvNFq0ZHBxUd3e3JMnlcs3DmACA25WN92xCfPDg\nQb311ltyuVzK5/M8bAIAC8Bd7pNer1eZTKZwO5PJyOfzTVvz/fffKxaLSZKmpqb0xRdfyOPxqKOj\no+j+4vF44eNoNKpoNHoPo9e+uf4vhn9AAbvS6bTS6XTFda58me/0W7duqbm5WSdOnFBjY6M2bdqk\nZDKpcDg84/q9e/fq+eef144dO4oP9P8zcwDA7JVqZ9kzb7fbrUQiofb2duVyOXV2diocDqu/v1+S\n1NXVNT/TAgDKKnvm7eiBOPMGgLtWqp28wtKo254+ALAEceZtlMsl8dcJ1D7OvAGghhBvADCIeAOA\nQcQbAAwi3kYdOlTtCQBUE7tNAGARY7cJANQQ4g0ABhFvADCIeAOAQcTbKN7bBFja2G1iFO9tAiwN\n7DYBgBpCvAHAIOINAAYRbwAwiHgvAvX1/zwBeTc/pLtbX19f3T8jAGex22QRWIidI+xOAWxitwkA\n1BDiDQAGEW8AMIh4A4BBxBsADCLeAGAQ8QYAg4g3ABhEvAHAIOINAAYRbwAwiHgDgEHEGwAMIt4A\nYBDxBgCDiDcAGDSreKdSKYVCIQWDQfX19RV9/uOPP1YkEtH69ev19NNP69y5c44PCgD4T8Ur6eRy\nOTU3N2t4eFher1cbN25UMplUOBwurPnmm2+0Zs0arVy5UqlUSvF4XKdPn55+IK6kUxJX0gFQypyv\npDMyMqJAIKCmpiZ5PB7FYjENDg5OW7N582atXLlSktTW1qaJiQmHxgYAzKRivLPZrPx+f+G2z+dT\nNpstuf7999/X9u3bnZkOADAjd6UFrn8vVT4LJ0+e1AcffKBTp07N+Pl4PF74OBqNKhqNzvq+a1le\nLmn2f81zPMZ/PwNYvNLptNLpdMV1FePt9XqVyWQKtzOZjHw+X9G6c+fOaf/+/UqlUqqrq5vxvm6P\nN/7jUn5hHvOe30MAcMCdJ7a9vb0zrqv4sElra6vGxsY0Pj6uGzduaGBgQB0dHdPW/Prrr9qxY4eO\nHj2qQCBwb5MDACqqeObtdruVSCTU3t6uXC6nzs5OhcNh9ff3S5K6urr0+uuv648//lB3d7ckyePx\naGRkZH4nB4AlrOJWQccOxFbBktgqCKCUOW8VBAAsPsQbAAwi3gBgEPEGAIOINwAYRLwBwCDiDQAG\nEW8AMIh4A4BBxBsADCLeAGAQ8QYAg4g3ABhEvAHAIOINAAYRbwAwiHgDgEEVL4OGheGa56vHl7gm\nNACjiPciMJfLk3FZM2Bp42ETADCIeAOAQcQbAAwi3gBgEPE26tChak8AoJpc+fzC7FlwuVxaoEMB\nQM0o1U7OvAHAIOINAAYRbwAwiHgDgEHE26h4vNoTAKgmdpsYxXubAEsDu00AoIYQbwAwiHgDgEHE\nGwAMqhjvVCqlUCikYDCovr6+GdccOHBAwWBQkUhEZ86ccXxIFOO9TYClrWy8c7mcenp6lEqldP78\neSWTSV24cGHamqGhIV26dEljY2M6fPiwuru753Vg/CMaTVd7BGBG6XS62iMsCWXjPTIyokAgoKam\nJnk8HsViMQ0ODk5bc+zYMe3Zs0eS1NbWpitXrmhycnL+JoYkvkGwePG1uTDKxjubzcrv9xdu+3w+\nZbPZimsmJiYcHhMAcLuy8XbN8pLmd24gn+3vAwDMTdmrx3u9XmUymcLtTCYjn89Xds3ExIS8Xm/R\nfUUiEaLusN7e3mqPAMyIr03nRCKRGX+9bLxbW1s1Njam8fFxNTY2amBgQMlkctqajo4OJRIJxWIx\nnT59WqtWrVJDQ0PRfZ09e/YexgcA3K5svN1utxKJhNrb25XL5dTZ2alwOKz+/n5JUldXl7Zv366h\noSEFAgEtX75cR44cWZDBAWApW7A3pgIAOIdXWBqyb98+NTQ0aN26ddUeBSiSyWS0detWPf7441q7\ndq3efffdao9U0zjzNuSrr77SihUr9NJLL+nHH3+s9jjANJcvX9bly5fV0tKia9eu6YknntDnn3+u\ncDhc7dFqEmfehmzZskV1dXXVHgOY0UMPPaSWlhZJ0ooVKxQOh/Xbb79VearaRbwBOG58fFxnzpxR\nW1tbtUepWcQbgKOuXbumXbt26Z133tGKFSuqPU7NIt4AHHPz5k3t3LlTL774ol544YVqj1PTiDcA\nR+TzeXV2dmrNmjU6ePBgtcepecTbkN27d+upp57Szz//LL/fzwuisKicOnVKR48e1cmTJ7VhwwZt\n2LBBqVSq2mPVLLYKAoBBnHkDgEHEGwAMIt4AYBDxBgCDiDcAGES8AcAg4g0ABhFvADDofz/zGchX\n+GwBAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0xa05bb38>"
       ]
      }
     ],
     "prompt_number": 13
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Now averaged over all samples:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "f_0_total = np.mean(f0)\n",
      "f_1_total = np.mean(f1)\n",
      "fig = plt.figure()\n",
      "ax = fig.add_subplot(111)\n",
      "p1 = ax.bar([0,1], [f_0_total, f_1_total], width = .4, align = 'center')\n",
      "p2 = ax.bar([0,1], [1-p, p], width = .2, color='r', align = 'center')\n",
      "ax.set_xbound(-.5,1.5)\n",
      "ax.set_ybound(0,1)\n",
      "ax.legend((p1[0],p2[0]),('sample','p'), loc = 'upper left');"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXYAAAEACAYAAACnJV25AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
       "text": [
        "<matplotlib.figure.Figure at 0xa05b4a8>"
       ]
      }
     ],
     "prompt_number": 14
    },
    {
     "cell_type": "heading",
     "level": 4,
     "metadata": {},
     "source": [
      "demo_GaussianMixture2_randomNumberGenerator: generate GM[p,mu1,sigma1,mu2,sigma2] random numbers -- Lecture 3.4"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Parameters for the generator"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "M = 1000\n",
      "N = 100\n",
      "\n",
      "p      =  0.7  # probability of Gaussian component 1\n",
      "# Gaussian component 1\n",
      "mu1    = -1.0\n",
      "sigma1 =  1.0\n",
      "# Gaussian component 2\n",
      "mu2    =  4.0\n",
      "sigma2 =  3.0"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 15
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Simulate a matrix (M rows, N columns) of Bernoulli[p] random numbers"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "xi = (np.random.rand(M,N) < p)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 16
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Simulate a matrix (M rows, N columns) of GM[p,mu1,sigma1,mu2,sigma2] random numbers"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from scipy.stats import norm\n",
      "# # direct implementation\n",
      "# X  = randn(M,N);       # X ~ N[0,1]\n",
      "# Z  = xi.*(mu1+sigma1*X) + (1-xi).*(mu2+sigma2*X);\n",
      "\n",
      "# preferred implementation\n",
      "Z      = np.random.randn(M,N);\n",
      "Z[xi]  = mu1+sigma1*Z[xi];\n",
      "Z[~xi] = mu2+sigma2*Z[~xi];"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 17
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "We compare this to the true PDF of a Gaussian mixture. This PDF is defined by `GMpdf`"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def GMpdf(x, p, mu, sigma):\n",
      "    \"\"\"\n",
      "    Exact PDF of a Gaussian Mixture\n",
      "    INPUT:\n",
      "      x     : shape used for shape of output [MxN]\n",
      "      p     : Probability vector  [Kx1]\n",
      "      mu    : Vector of means     [Kx1]\n",
      "      sigma : Vector of stdev's   [Kx1]\n",
      "\n",
      "    OUTPUT:\n",
      "      y : Value of the pdf [same size as x]  \n",
      "    \"\"\"\n",
      "    \n",
      "    # Compute pdf \n",
      "    y = np.zeros_like(x, dtype = np.float);\n",
      "    for k in range(len(p)):\n",
      "        y = y + p[k]*norm.pdf(x,mu[k],sigma[k])\n",
      "    return y\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 18
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "And the final visualization"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def modelPDF(x):\n",
      "    return GMpdf(x, [p, 1-p], [mu1, mu2], [sigma1, sigma2])\n",
      "\n",
      "graphicalComparisonPdf(Z, modelPDF)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAYoAAAEPCAYAAABcA4N7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJAohhBD1+v9QVDm9GyPMggAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x9c7d630>"
       ]
      }
     ],
     "prompt_number": 19
    },
    {
     "cell_type": "heading",
     "level": 4,
     "metadata": {},
     "source": [
      "demo_categorical_randomNumberGenerator: generate Categorical[p,K] random numbers -- Lecture 3.5"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Parameters for the Categorical distributon"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "p = np.ones(6,dtype=np.float) # The demo looks at 6 possible outcomes (a die), with equal probabilities.\n",
      "p[1] += 1                     # Here we consider one outcome to be slightly more probable. -- a weighted die\n",
      "p /= p.sum()   # normalize\n",
      "K = p.size"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 25
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "cum_p = np.cumsum(np.r_[0,p])    # cumulative distribution\n",
      "\n",
      "U = np.random.rand()                 # simulate U ~ U[0,1]\n",
      "\n",
      "xi = np.sum(U > cum_p)     # xi ~ Categorical[p,K], so it takes on K different values with probability p[i] for the i'th element"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 26
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Defining the random number generator for categorical variables"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def categoricalRand(M, N, p):\n",
      "    \"\"\"\n",
      "    Random number generator for categorical variables.\n",
      "    \n",
      "    INPUT:\n",
      "    M : size of sample\n",
      "    N : number of samples\n",
      "    p : array of (normalized) probabilities for categorical variables\n",
      "    \n",
      "    OUTPUT:\n",
      "    \n",
      "    k : N samples of size M (MxN array) of randomly drawn categorical variables. k takes values between 1 and the size of p.\n",
      "    \n",
      "    \"\"\"\n",
      "    p = np.cumsum(np.r_[0, p])\n",
      "\n",
      "    # Sample from U[0,1]\n",
      "    k = np.random.rand(M,N)\n",
      "    # Sample from Categorical[p,K]\n",
      "    k = np.sum(k[:,:,np.newaxis] > p, axis = 2)\n",
      "    return k.astype(np.int)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 27
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "We use this to generate some samples"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "M = 100\n",
      "N = 20\n",
      "\n",
      "xi = categoricalRand(M, N, p) # generate N samples of size M through our custom \n",
      "frequency = np.mean( xi[:,:,np.newaxis] == np.arange(1, K+1,dtype=np.int), axis = (0,1) ) # relative frequency of each outcome."
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 28
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Plot the drawn samples vs the true probabilities"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fig = plt.figure()\n",
      "ax = fig.add_subplot(111)\n",
      "p1 = ax.bar(np.unique(xi), frequency, width = .5, color='b', align = 'center')\n",
      "p2 = ax.bar(range(1,p.size+1), p, width = .2, color='r', align = 'center')\n",
      "ax.set_title(r'$\\xi \\sim$ categorical[p,6]', fontsize = 20)\n",
      "ax.legend((p1[0],p2[0]),('sample','p'), loc = 'upper right');"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXgAAAERCAYAAABxZrw0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niYhU6v8BP7wft/oZRjYAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x9c5cb70>"
       ]
      }
     ],
     "prompt_number": 29
    },
    {
     "cell_type": "heading",
     "level": 4,
     "metadata": {},
     "source": [
      "demo_GaussianMixtureK_randomNumberGenerator: generate GM[p,mu,sigma] random numbers -- Lecture 3.6"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Gaussian components."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "M = 1000\n",
      "N = 100\n",
      "\n",
      "\n",
      "p     = np.array([ 1/2., 1/3.,  1/6.])  # probability vector\n",
      "mu    = np.array([ -1.0,  4.0,  12.0])  # means\n",
      "sigma = np.array([  1.0,  3.0,  0.5 ])  # standard deviations"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 30
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Simulate a matrix (M rows, N columns) of Categorical[p,K]"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "xi = categoricalRand(M,N,p) - 1   # xi ~ Categorical[p,K]. \n",
      "# We subtract 1 from xi, such that the lowest value of xi is 0 (we use xi for indexing, and indexing starts at 0)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 31
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Simulate a matrix (M rows, N columns) of GM[p,mu,sigma] random numbers"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "X  = randn(M,N)\n",
      "Z = mu[xi] + sigma[xi] * X"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 32
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Compare exact PDF with simulation of mixed Gaussians"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def modelPdf(z):\n",
      "    return GMpdf(z, p, mu, sigma)\n",
      "graphicalComparisonPdf(Z, modelPdf)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAYoAAAEPCAYAAABcA4N7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x9c4f3c8>"
       ]
      }
     ],
     "prompt_number": 33
    },
    {
     "cell_type": "heading",
     "level": 4,
     "metadata": {},
     "source": [
      "demo_exponential_randomNumberGenerator: generate Exp[lambda] random numbers -- Lecture 3.7"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Here we look at the inverse method ( https://en.wikipedia.org/wiki/Inverse_transform_sampling_method )\n",
      "\n",
      "and apply it to the exponential distribution ( https://en.wikipedia.org/wiki/Exponential_distribution ).\n",
      "\n",
      "In the inverse method we draw samples from a uniform distribution, $[0,1]$, and use the (known) inverse of the CDF to construct the PDF of a distribution.\n"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "lda = 10 # Parameter for exponential distribution. lda = lambda"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 34
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Simulate a matrix (`M` rows, `N` columns) of `Exp[lda]` random numbers.\n",
      "\n",
      "$X\\sim \\lambda e^{-\\lambda x}$\n",
      "\n",
      "The inverse of the CDF is given by ($p\\in [0,1]$)\n",
      "\n",
      "$\\textrm{invcdf}(p) = -\\log(1-p)/\\lambda$"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "M = 100\n",
      "N = 1000\n",
      "\n",
      "U = np.random.rand(M,N)      # U ~ U[0,1]. \n",
      "X = -np.log(U)/lda           # inverse method: X ~ Exp[lambda]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 35
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "X now holds samples drawn from the exponential distribution, but generated through the inverse method. We compare this to the true PDF."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def modelPDF(x):\n",
      "    return lda * np.exp(-lda * x)\n",
      "graphicalComparisonPdf(X, modelPDF)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAYIAAAEPCAYAAABP1MOPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nLjYp1r4AAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x9c61e10>"
       ]
      }
     ],
     "prompt_number": 36
    },
    {
     "cell_type": "heading",
     "level": 4,
     "metadata": {},
     "source": [
      "demo_PoissonProcess: generate times of events in homogeneous Poisson process -- Lecture 3.8"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Next we simulate a homogeneous Poisson process: https://en.wikipedia.org/wiki/Poisson_process\n",
      "Parameters"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "eta = 10         # average of 10 events per unit time (note that lambda cannot be used as a variable in Python)\n",
      "M = 4            # Simulate M times\n",
      "tauMax = 20/eta  # Maximum length for the simulation\n",
      "tau = np.zeros((M, eta), dtype = np.float)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 37
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Here we use lists instead of numpy arrays, because the final length of tau is not known beforehand."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "np.random.seed(20)\n",
      "fig = plt.figure(figsize = (8,8))\n",
      "for m in range(M):\n",
      "    tau = [-np.log(np.random.rand())/eta]\n",
      "    nEvent = 0;\n",
      "    while(tau[-1] < tauMax):\n",
      "        nEvent = nEvent+1  # new event\n",
      "        delay_event = -np.log(np.random.rand())/eta           # delay ~Exp[lambda]\n",
      "        tau.append(tau[nEvent-1] + delay_event)  # time for new event\n",
      "    tau = np.asarray(tau)\n",
      "    tau = tau[tau < tauMax] # possible exclude the last event, if it is longer than tauMax\n",
      "    \n",
      "    ### Visualization\n",
      "    \n",
      "    ind = '{}1{}'.format(M,m+1) \n",
      "    ax = fig.add_subplot(ind)\n",
      "    ax.plot([0, 2], [0,0])\n",
      "    ax.scatter(tau,np.zeros_like(tau), c='red',marker='o', s=100)\n",
      "    if m==0: ax.set_title('Poisson Process [$\\eta$ = {}]'.format(eta), fontsize = 20)\n",
      "    if m==M-1: ax.set_xlabel('t', fontsize=20)\n",
      "    ax.set_xbound(0,2)\n",
      "    ax.set_ybound(-1,1)\n",
      "    ax.set_yticks([-1,0,1])\n",
      "    ax.set_ylabel(str(tau.size) +' events', fontsize=20)\n",
      "plt.tight_layout()\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAjkAAAI7CAYAAAAOI4pmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x8140e48>"
       ]
      }
     ],
     "prompt_number": 38
    },
    {
     "cell_type": "heading",
     "level": 4,
     "metadata": {},
     "source": [
      "demo_rejectionSampling: illustrate rejection sampling"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Target distribution"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "p      = [1/2., 1/3., 1/6.]\n",
      "mu     = [-1.0,  4.0, 12.0]\n",
      "sigma  = [ 1.0,  3.0,  0.5]\n",
      "def f_Y(x): \n",
      "    return GMpdf(x,p,mu,sigma)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 39
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Origin distribution"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "mu0    = 4\n",
      "sigma0 = 8\n",
      "def f_X(x):\n",
      "    return norm.pdf(x, mu0, sigma0)\n",
      "def rndX(shape = None):\n",
      "    if shape is None:\n",
      "        return mu0+sigma0*np.random.randn()\n",
      "    else:\n",
      "        return mu0+sigma0*np.random.randn(*shape)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 40
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Scale f_X so that if covers f_Y"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "A = 6\n",
      "nPlot  = 1000\n",
      "xPlot  = np.linspace(-10,20,nPlot)\n",
      "plt.figure()\n",
      "plt.plot(xPlot,A*f_X(xPlot),xPlot,f_Y(xPlot));\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXsAAAEACAYAAABS29YJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0xa04ada0>"
       ]
      }
     ],
     "prompt_number": 41
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Now we draw samples from the origin distribution, rndX, and use a decision criteria to accept or reject these samples. The result is an array with samples drawn from f_Y."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def rejectionSampling(M,N,f_X,f_Y,A,rndX):\n",
      "    \"\"\"\n",
      "    Sampling from a univariate distribution by rejection sampling.\n",
      "    \n",
      "    This implementation is a little different from the matlab code,\n",
      "    because the ordinary while loop takes too long.\n",
      "\n",
      "    INPUT:\n",
      "\n",
      "        M,N : Number of rows and columns\n",
      "        f_X : Handle of origin pdf\n",
      "        f_Y : Handle of target pdf\n",
      "          A : Scale factor\n",
      "       rndX : Handle of a function that generates X ~ f_X\n",
      "\n",
      "    OUTPUT:\n",
      "          Y : Sample of size [M x N] from the distribution f_Y. \n",
      "    \"\"\"\n",
      "    sampleLength = M*N;\n",
      "    Y = np.zeros((sampleLength,)) # elements of Y are \n",
      "    remainingLength = sampleLength\n",
      "    i = 0\n",
      "    while (remainingLength > 0):\n",
      "        sample = rndX((remainingLength,)) # generate as many samples as remaining unfilled elements in Y.\n",
      "        fx = A*f_X(sample)\n",
      "        fy = f_Y(sample)\n",
      "        \n",
      "        if np.any(fx < fy):\n",
      "            raise ValueError('A*f_X is not a valid envelope for f_Y')\n",
      "        \n",
      "        # If the u ~ U[0,fx] is below fy, accept corresponding sample. If not, reject sample.\n",
      "        u  = fx*rand(remainingLength)\n",
      "        accepted = sample[u < fy]\n",
      "        Y[i:i+accepted.size] = accepted\n",
      "        i = i+accepted.size\n",
      "        remainingLength = sampleLength - i \n",
      "    return Y.reshape(M, N)\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 42
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Here we visualize this function against the true PDF."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "M = 10\n",
      "N = 1000\n",
      "\n",
      "Y = rejectionSampling(M,N,f_X,f_Y,A,rndX)\n",
      "\n",
      "graphicalComparisonPdf(Y,f_Y)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAYoAAAEPCAYAAABcA4N7AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
       "text": [
        "<matplotlib.figure.Figure at 0xa594748>"
       ]
      }
     ],
     "prompt_number": 43
    },
    {
     "cell_type": "heading",
     "level": 4,
     "metadata": {},
     "source": [
      "demo_rejectionSamplingCircle: Generates uniformly distributed points in -- Lecture 3.9"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "This demo demonstrates how we can use rejection sampling to determine the volume of a hypersphere."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def demo_rejectionSamplingCircle(D, r, N):\n",
      "    \"\"\"Generates uniformly distributed points in\n",
      "    a ball of any dimension and performs a Monte Carlo estimate of the volume\n",
      "\n",
      "    INPUT:\n",
      "        D  : Dimension of the ball\n",
      "        r  : Radius of the ball\n",
      "        N  : Number of sample points \n",
      "\n",
      "    OUTPUT:\n",
      "        X  : [N,D] matrix with the sample points\n",
      "        a  : estimated volume of the ball\n",
      "    \"\"\"\n",
      "    def _norm(X):\n",
      "        return np.sqrt( np.sum(X**2, axis = 1) )\n",
      "    X = np.zeros((N,D))\n",
      "    nAccept = 0\n",
      "    nTotal = 0\n",
      "    i = 0\n",
      "    while (nAccept < N):\n",
      "        Y = 2* np.random.rand(N - nAccept, D)-1; # Generate [(N - nAccept) x D] independent uniforms U[-1,1]\n",
      "        accepted = Y[_norm(Y) < 1,:]            # If norm < 1 accept, else discard\n",
      "        nAccept = nAccept + accepted.shape[0]   # update number of accepted variables\n",
      "        X[i:i+accepted.shape[0],:] = accepted   # add accepted variables to array X\n",
      "        nTotal = nTotal + Y.size                # update total number of generated samples\n",
      "        \n",
      "    a = (2*r)**D * nAccept / nTotal  # Area calculation ((2r)^D to normalize to the hypercube volume)\n",
      "    X = r * X                        # Scale to the proper radius\n",
      "    return a, X"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 44
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "D = 2\n",
      "r = 1.5\n",
      "N = 10000\n",
      "\n",
      "a, X = demo_rejectionSamplingCircle(D, r, N);\n",
      "fig = plt.figure()\n",
      "ax = fig.add_subplot(111)\n",
      "ax.scatter(X.T[0],X.T[1], label = 'Uniformly distributed points in the circle')\n",
      "ax.legend(loc = 'upper right')\n",
      "ax.set_title('Area estimation: {:.4f}'.format(a));"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAX4AAAEKCAYAAAAVaT4rAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x8385e48>"
       ]
      }
     ],
     "prompt_number": 46
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 45
    }
   ],
   "metadata": {}
  }
 ]
}