{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2017-03-20T15:17:07-06:00\n", "\n", "CPython 3.6.0\n", "IPython 5.1.0\n", "\n", "compiler : GCC 4.4.7 20120313 (Red Hat 4.4.7-1)\n", "system : Linux\n", "release : 4.4.0-66-generic\n", "machine : x86_64\n", "processor : x86_64\n", "CPU cores : 8\n", "interpreter: 64bit\n" ] } ], "source": [ "%load_ext watermark\n", "import warnings\n", "warnings.filterwarnings(\"ignore\") \n", "from IPython.core.display import display, HTML\n", "\n", "import time\n", "\n", "import pandas as pd\n", "import pandas_datareader.data as web\n", "import numpy as np\n", "import scipy.stats as scs\n", "from scipy.stats import multivariate_normal as mvn\n", "import sklearn.mixture as mix\n", "\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "%matplotlib inline\n", "\n", "%watermark" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "pandas 0.19.2\n", "numpy 1.12.1\n", "scipy 0.19.0\n", "sklearn 0.18.1\n", "matplotlib 2.0.0\n", "seaborn 0.7.1\n" ] } ], "source": [ "%watermark -p pandas,numpy,scipy,sklearn,matplotlib,seaborn" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### To gain understanding of mixture models we have to start at the beginning with the expectation maximization algorithm and it's application" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### First a little history on E-M\n", "\n", "Reference: 4\n", "\n", "Demptser, Laird & Rubin (1977)\n", " -unified previously unrelated work under \"The EM Algorithm\"\n", " - unified previously unrelated work under \"The EM Algorithm\"\n", " - overlooked E-M works - see gaps between foundational authors\n", " - Newcomb (1887)\n", " - McKendrick (1926) [+39 years]\n", " - Hartley (1958) [+32 years]\n", " - Baum et. al. (1970) [+12 years]\n", " - Dempters et. al. (1977) [+7 years]\n", "\n", "#### *EM Algorithm developed over 90 years*\n", "\n", "## EM provides general framework for solving problems\n", "\n", "Examples include:\n", " - Filling in missing data from a sample set\n", " - Discovering values of latent variables\n", " - Estimating parameters of HMMs\n", " - Estimating parameters of finite mixtures [models]\n", " - Unsupervised learning of clusters\n", " - etc...\n", " \n", "### How does the EM algorithm work? \n", "\n", "EM is an iterative process that begins with a \"naive\" or random initialization and then alternates between the expectation and maximization steps until the algorithm reaches convergence. \n", "\n", "To describe this in words imagine we have a simple data set consisting of class heights with groups separated by gender." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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GenderHeight (in)
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1Male72
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3Female62
4Female62
5Male73
6Female64
7Female63
8Female67
9Male71
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11Female63
12Male71
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17Female60
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" ], "text/plain": [ " Gender Height (in)\n", "0 Male 72\n", "1 Male 72\n", "2 Female 63\n", "3 Female 62\n", "4 Female 62\n", "5 Male 73\n", "6 Female 64\n", "7 Female 63\n", "8 Female 67\n", "9 Male 71\n", "10 Male 72\n", "11 Female 63\n", "12 Male 71\n", "13 Female 67\n", "14 Female 62\n", "15 Female 63\n", "16 Male 66\n", "17 Female 60\n", "18 Female 68\n", "19 Female 65\n", "20 Female 64" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# import class heights\n", "f = 'https://raw.githubusercontent.com/BlackArbsCEO/Mixture_Models/K-Means%2C-E-M%2C-Mixture-Models/Class_heights.csv'\n", "\n", "data = pd.read_csv(f)\n", "# data.info()\n", "\n", "height = data['Height (in)']\n", "data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now imagine that we did not have the convenient gender labels associated with each data point. How could we estimate the two group means? \n", "\n", "First let's set up our problem. \n", "\n", "In this example we hypothesize that these height data points are drawn from two distributions with two means - < $\\mu_1$, $\\mu_2$ >.\n", "\n", "The heights are the observed $x$ values. \n", "\n", "The hidden variables, which EM is going to estimate, can be thought of in the following way. Each $x$ value has 2 associated $z$ values. These $z$ values < $z_1$, $z_2$ > represent the distribution (or class or cluster) that the data point is drawn from.\n", "\n", "Understanding the range of values the $z$ values can take is important. \n", "\n", "In k-means, the two $z$'s can only take the values of 0 or 1. If the $x$ value came from the first distribution (cluster), then $z_1$=1 and $z_2$=0 and vice versa. This is called **hard** clustering. \n", "\n", "In Gaussian Mixture Models, the $z$'s can take on any value between 0 and 1 because the x values are considered to be drawn probabilistically from 1 of the 2 distributions. For example $z$ values can be $z_1$=0.85 and $z_2$>=0.15, which represents a strong probability that the $x$ value came from distribution 1 and smaller probability that it came from distribution 2. This is called **soft** or **fuzzy** clustering. \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For this example, we will assume the x values are drawn from Gaussian distributions. \n", "\n", "To start the algorithm, we choose two random means. \n", "\n", "From there we repeat the following until convergence. \n", "\n", "#### The expectation step:\n", "\n", "We calculate the expected values $E(z_{ij})$, which is the probability that $x_i$ was drawn from the $jth$ distribution.\n", " \n", "$$E(z_{ij}) = \\frac{p(x = x_i|\\mu = \\mu_j)}{\\sum_{n=1}^2 p(x = x_i|\\mu = \\mu_j)}$$\n", "\n", "\n", "$$= \\frac{ e^{-\\frac{1}{2\\sigma^2}(x_i - \\mu_j)^2} }\n", "{ \\sum_{n=1}^2e^{-\\frac{1}{2\\sigma^2}(x_i - \\mu_n)^2} }$$\n", "\n", "The formula simply states that the expected value for $z_{ij}$ is the probability $x_i$ given $\\mu_j$ divided by the sum of the probabilities that $x_i$ belonged to each $\\mu$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### The maximization step:\n", "\n", "After calculating all $E(z_{ij})$ values we can calculate (update) new $\\mu$ values. \n", "\n", "$$ \\mu_j = \\frac {\\sum_{i=1}^mE(z_{ij})x_i} {\\sum_{i=1}^mE(z_{ij})}$$\n", "\n", "This formula generates the maximum likelihood estimate. \n", "\n", "By repeating the E-step and M-step we are guaranteed to find a local maximum giving us a maximum likelihood estimation of our hypothesis. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### What are Maximum Likelihood Estimates (MLE)\n", "\n", " 1. Parameters describe characteristics (attributes) of a population. These parameter values are estimated from samples collected from that population.\n", "\n", " 2. A MLE is a parameter estimate that is most consistent with the sampled data. By definition it maximizes the likelihood function. One way to accomplish this is to take the first derivative of the likelihood function w/ respect to the parameter theta and solve for 0. This value maximizes the likelihood function and is the MLE\n", "\n", "### A quick example of a maximum likelihood estimate\n", " \n", "#### You flip a coin 10 times and observe the following sequence (H, T, T, H, T, T, T, T, H, T)\n", "#### What's the MLE of observing 3 heads in 10 trials? \n", "\n", "#### simple answer: \n", " The frequentist MLE is (# of successes) / (# of trials) or 3/10\n", "\n", "#### solving first derivative of binomial distribution answer: \n", "\n", "\\begin{align}\n", "\\mathcal L(\\theta) & = {10 \\choose 3}\\theta^3(1-\\theta)^7 \\\\[1ex]\n", "log\\mathcal L(\\theta) & = log{10 \\choose 3} + 3log\\theta + 7log(1 - \\theta) \\\\[1ex]\n", "\\frac{dlog\\mathcal L(\\theta)}{d(\\theta)} & = \\frac 3\\theta - \\frac{7}{1-\\theta} = 0 \\\\[1ex]\n", "\\frac 3\\theta & = \\frac{7}{1 - \\theta} \\Rightarrow \\frac{3}{10}\n", "\\end{align}\n", "\n", "#### That's a MLE! This is the estimate that is most consistent with the observed data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Back to our height example. Using the generalized Gaussian mixture model code sourced from Duke's computational statistics we can visualize this process. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Code sourced from:\n", "# http://people.duke.edu/~ccc14/sta-663/EMAlgorithm.html\n", "\n", "def em_gmm_orig(xs, pis, mus, sigmas, tol=0.01, max_iter=100):\n", "\n", " n, p = xs.shape\n", " k = len(pis)\n", "\n", " ll_old = 0\n", " for i in range(max_iter):\n", " print('\\nIteration: ', i)\n", " print()\n", " exp_A = []\n", " exp_B = []\n", " ll_new = 0\n", "\n", " # E-step\n", " ws = np.zeros((k, n))\n", " for j in range(len(mus)):\n", " for i in range(n):\n", " ws[j, i] = pis[j] * mvn(mus[j], sigmas[j]).pdf(xs[i])\n", " ws /= ws.sum(0)\n", "\n", " # M-step\n", " pis = np.zeros(k)\n", " for j in range(len(mus)):\n", " for i in range(n):\n", " pis[j] += ws[j, i]\n", " pis /= n\n", "\n", " mus = np.zeros((k, p))\n", " for j in range(k):\n", " for i in range(n):\n", " mus[j] += ws[j, i] * xs[i]\n", " mus[j] /= ws[j, :].sum()\n", " \n", " sigmas = np.zeros((k, p, p))\n", " for j in range(k):\n", " for i in range(n):\n", " ys = np.reshape(xs[i]- mus[j], (2,1))\n", " sigmas[j] += ws[j, i] * np.dot(ys, ys.T)\n", " sigmas[j] /= ws[j,:].sum()\n", "\n", " new_mus = (np.diag(mus)[0], np.diag(mus)[1])\n", " new_sigs = (np.unique(np.diag(sigmas[0]))[0], np.unique(np.diag(sigmas[1]))[0])\n", " df = (pd.DataFrame(index=[1, 2]).assign(mus = new_mus).assign(sigs = new_sigs))\n", " \n", " xx = np.linspace(0, 100, 100)\n", " yy = scs.multivariate_normal.pdf(xx, mean=new_mus[0], cov=new_sigs[0])\n", " \n", " colors = sns.color_palette('Dark2', 3)\n", " fig, ax = plt.subplots(figsize=(9, 7))\n", " ax.set_ylim(-0.001, np.max(yy))\n", " ax.plot(xx, yy, color=colors[1])\n", " ax.axvline(new_mus[0], ymin=0., color=colors[1])\n", " ax.fill_between(xx, 0, yy, alpha=0.5, color=colors[1])\n", " lo, hi = ax.get_ylim()\n", " ax.annotate(f'$\\mu_1$: {new_mus[0]:3.2f}', \n", " fontsize=12, fontweight='demi',\n", " xy=(new_mus[0], (hi-lo) / 2), \n", " xycoords='data', xytext=(80, (hi-lo) / 2),\n", " arrowprops=dict(facecolor='black', connectionstyle=\"arc3,rad=0.2\",shrink=0.05))\n", " ax.fill_between(xx, 0, yy, alpha=0.5, color=colors[2])\n", " \n", " yy2 = scs.multivariate_normal.pdf(xx, mean=new_mus[1], cov=new_sigs[1])\n", " \n", " ax.plot(xx, yy2, color=colors[2])\n", " ax.axvline(new_mus[1], ymin=0., color=colors[2])\n", " lo, hi = ax.get_ylim()\n", " ax.annotate(f'$\\mu_2$: {new_mus[1]:3.2f}', \n", " fontsize=12, fontweight='demi',\n", " xy=(new_mus[1], (hi-lo) / 2), xycoords='data', xytext=(25, (hi-lo) / 2),\n", " arrowprops=dict(facecolor='black', connectionstyle=\"arc3,rad=0.2\",shrink=0.05))\n", " ax.fill_between(xx, 0, yy2, alpha=0.5, color=colors[2])\n", " \n", " dot_kwds = dict(markerfacecolor='white', markeredgecolor='black', markeredgewidth=1, markersize=10)\n", " ax.plot(height, len(height)*[0], 'o', **dot_kwds)\n", " ax.set_ylim(-0.001, np.max(yy2))\n", " \n", " \n", " print(df.T) \n", " \n", " # update complete log likelihoood\n", " ll_new = 0.0\n", " for i in range(n):\n", " s = 0\n", " for j in range(k):\n", " s += pis[j] * mvn(mus[j], sigmas[j]).pdf(xs[i])\n", " ll_new += np.log(s)\n", " print(f'log_likelihood: {ll_new:3.4f}')\n", " if np.abs(ll_new - ll_old) < tol:\n", " break\n", " ll_old = ll_new\n", " \n", " return ll_new, pis, mus, sigmas" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Iteration: 0\n", "\n", " 1 2\n", "mus 61.362928 59.659685\n", "sigs 469.240750 244.382352\n", "log_likelihood: -141.8092\n", "\n", "Iteration: 1\n", "\n", " 1 2\n", "mus 68.73773 63.620554\n", "sigs 109.85442 7.228183\n", "log_likelihood: -118.0520\n", "\n", "Iteration: 2\n", "\n", " 1 2\n", "mus 70.569842 63.688825\n", "sigs 4.424452 3.139277\n", "log_likelihood: -100.2591\n", "\n", "Iteration: 3\n", "\n", " 1 2\n", "mus 70.569842 63.688825\n", "sigs 4.424427 3.139278\n", "log_likelihood: -100.2591\n" ] }, { "data": { "image/png": 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LWW3wUnZ7z8EzpLF0wxdRMuOHfY3VaiFU4iIeH6e3J1GAKMVCJwmJEOKwurtH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y02VoG0LBWJFbIjJxxb+iRERKVCnsaOuxrFQbFD6kHCh8iIjshbe0umkWP3x4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\nyk+ncfRNJHUX7c/fQuhP16OiwXxnq6BJ8CGEGDC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Ltc/H9OHDqbzGybHyQclj+CAiioC32iVY9qi2WI9gxYsXPnzM+ZDDLnaeTcYoeQwfREQR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\nAIZhjOq6PrE2N+U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wwouxePHiRP5fGqlcLmP9+r/hyScfx9atW7Ft28vYtm0bduzYjmKx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\nrvHcIQB2GYaxE8A9lcd6dF3vrTz3ks9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zkx4zka6uVqRSmp97rkt3d3ts56bxZtp73dPTg+uuuw4vvfQSDjroIFxzzTU4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\nBLCzxnMHAdhhGMZ2AHdVHuvRdb238ty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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "height = data['Height (in)']\n", "n = len(height)\n", "\n", "# Ground truthish\n", "_mus = np.array([[0, data.groupby('Gender').mean().iat[0, 0]], \n", " [data.groupby('Gender').mean().iat[1, 0], 0]])\n", "_sigmas = np.array([[[5, 0], [0, 5]], \n", " [[5, 0],[0, 5]]])\n", "_pis = np.array([0.5, 0.5]) # priors\n", "\n", "# initial random guesses for parameters\n", "np.random.seed(0)\n", "\n", "pis = np.random.random(2)\n", "pis /= pis.sum()\n", "mus = np.random.random((2,2))\n", "sigmas = np.array([np.eye(2)] * 2) * height.std()\n", "\n", "# generate our noisy x values\n", "xs = np.concatenate([np.random.multivariate_normal(mu, sigma, int(pi*n))\n", " for pi, mu, sigma in zip(_pis, _mus, _sigmas)])\n", "\n", "ll, pis, mus, sigmas = em_gmm_orig(xs, pis, mus, sigmas)\n", "\n", "# In the below plots the white dots represent the observed heights." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Notice how the algorithm was able to estimate the true means starting from random guesses for the parameters." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Now that we have a grasp of the algorithm we can examine K-Means as a form of EM\n", "\n", "K-Means is an unsupervised learning algorithm used for clustering multidimensional data sets.\n", "\n", "The basic form of K-Means makes two assumptions\n", "\n", " 1. Each data point is closer to its own cluster center than the other cluster centers\n", " 2. A cluster center is the arithmetic mean of all the points that belong to the cluster.\n", "\n", "The expectation step is done by calculating the pairwise distances of every data point and assigning cluster membership to the closest center (mean)\n", "\n", "The maximization step is simply the arithmetic mean of the previously assigned data points for each cluster\n", "\n", "#### The following sections borrow heavily from Jake Vanderplas' [Python Data Science Handbook](https://www.amazon.com/gp/product/1491912057/ref=as_li_qf_sp_asin_il_tl?ie=UTF8&tag=blkarbs-20&camp=1789&creative=9325&linkCode=as2&creativeASIN=1491912057&linkId=e000ed9627cfe6b505be11c50118decb)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Let's define some demo variables and make some blobs\n", "\n", "# demo variables\n", "\n", "k = 4\n", "n_draws = 500\n", "sigma = .7\n", "random_state = 0\n", "dot_size = 50\n", "cmap = 'viridis'" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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PhaLUusAqMRXPmCrs6+l+EgRBGIEUC5dilgCrVUt2wLr25KUc2LMOD/b3lFUPfe/m5WgP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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# make blobs\n", "\n", "from sklearn.datasets.samples_generator import make_blobs\n", "\n", "X, y_true = make_blobs(n_samples = n_draws,\n", " centers = k,\n", " cluster_std = sigma,\n", " random_state = random_state)\n", "\n", "fig, ax = plt.subplots(figsize=(9,7))\n", "ax.scatter(X[:, 0], X[:, 1], s=dot_size)\n", "plt.title('k-means make blobs', fontsize=18, fontweight='demi')" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# sample implementation\n", "# code sourced from: \n", "# http://nbviewer.jupyter.org/github/jakevdp/PythonDataScienceHandbook/blob/master/notebooks/05.11-K-Means.ipynb\n", "\n", "from sklearn.metrics import pairwise_distances_argmin\n", "\n", "def find_clusters(X, n_clusters, rseed=2):\n", " # 1. Random initialization (choose random clusters)\n", " rng = np.random.RandomState(rseed)\n", " i = rng.permutation(X.shape[0])[:n_clusters]\n", " centers = X[i]\n", "\n", " while True:\n", " # 2a. Assign labels based on closest center\n", " labels = pairwise_distances_argmin(X, centers)\n", "\n", " # 2b. Find new centers from means of points\n", " new_centers = np.array([X[labels == i].mean(0) \n", " for i in range(n_clusters)])\n", "\n", " # 2c. Check for convergence\n", " if np.all(centers == new_centers):\n", " break\n", " centers = new_centers\n", " \n", " return centers, labels" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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OWfTJtwjduhT4KGI7GwirlFITRQML1THj3iDHRXjyMo7ZmJa5KupFgzb3WjJZ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9de9F8UWnayfNKEBcCTP3qM7tYeSo6VDvh6pM9J46kfP85fX36LIqPv7w9AWKwBjX7ic0VuFuIz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\nG88dPs/50hr6LP0kRYfywLoM5k5g++dUeu5oNuVOloTmRIfyx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q5e7DpbbcWtQWYshBBC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\nQgiXkcBCCCGEEC4jgYUQQgghXOb/A82DOvPk0Wj/AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# let's test the implementation\n", "\n", "centers, labels = find_clusters(X, k)\n", "\n", "fig, ax = plt.subplots(figsize=(9,7))\n", "ax.scatter(X[:, 0], X[:, 1], c=labels, s=dot_size, cmap=cmap)\n", "plt.title('find_clusters() k-means func', fontsize=18, fontweight='demi')" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Jr5OzU6WGHfQ6PSnnr+Bb38ch2857+3sz66XpxJ04xz+nvmM1teL8qQus+t86\nHnrvvht+lhBC3CgJLOqwiO0n+PIv35GefC2HQ/jm49zx0nQmLrCdI+G3d1dZBBUAhQWFODk7UWgo\nvHZQA0PuGMgD79yDsdBIQX4Bbp5uNy09dlZaNl88+TWRu06j1+lxcXOh4+D2vLbsGXPlStm6ZAcr\n3l5Zkv5703fbCFu+h+e+f7pSS3VNJhMrP1zNnt8OkHTmEj4B3nQa0oEH/nuvzX1UKuvQn0fJz7HO\nIQLYzbwqhBA3m+SxqMPWfLbBIqgAc46GzYu2U5BnnTMiP0dHbPgZm/cqNBTSeUgH2vVtS9cRnbn/\n33OZ9/bdgHmLd3cv90oHFTcy/+e7vy7h2JYTJUtz9To9x7ee4H+PfW1xXsaVTH57b5XVniInw6L4\n9b8rK/XMdV9u4vcP1pBUNNkyKzWb/asO8cWTX1/nyoopL/Opk4t8RhBC3BrkX6M6Kjcz1+6Ey5T4\nFMI3H6fflD4Wxw0FenLLmU8xct5wi6RXRqMRfb4eF3eXCgcVRqORPz5aw+ENx8i4nEFQ0/oMnjWQ\nUfOGV+h6gMwrmUSGWa/kAAjfeoLMK5n4Bvqy/qtNrP3cOrgqdvqA9XLV8uxfddBm3ovIXaeJPhRj\nsUS3KobdOZhN324lK9V68qnSt+0N3VsIIRxFAos6ysnZCWcXO3uIaMDNy40TOyOJ3B2Fm6cbI+4Z\nyupP1mHQF9q8pHHbRvQa0x0Ag97Asn/9xrGtEWSnZdMgOIihswdVKDj46Y3lrF+4ueT7tKR0og+f\nYfvSMOZ/MI9WZbKL2pKWnE52uu3lrllpOaQmpbHn9wP8/K9fMBTYbg+A3kb+CnuMRiNXL6bZuY+e\nM+FxNxxYBDarz6SnxrPygzXkl8oR0nFwe2a+OO2G7i2EEI5SpcBCURRvYDHgD7gBb6mqutGRFRPV\ny83TDZ8AHzIuZ1qVtejQjO1LdxG+6VjJi3fzou2U1+nQvn+7kp1Kv37ue3at2FtSlnkli3MnEzAB\no8sJLrLTstlnY1t2gLjj5/ho3ic8u+hJWnVtafcehgIDkbujcPd2t3j5FvMN9CFqr0rY8j3lBhUA\nTZXG5ZaXptVqCWjsR3pyulWZi5sLLbvYr3NZulwdG741L5N1cXWm59ju9J/SB41Gw+THx9N5cEd2\nrdiDLldHm56tGTpnEM4yFCKEuEVU9V+jeYCqquoriqI0AbYB7R1WK1HtLsUlc+XiFTtlKZwvsz9F\nenI6Gq0Jm7CjAAAgAElEQVT9yKJJiPklnByfwtGNx63K9To9Ycv3MOr+ULvDIqcPxJB+yfrFDFBo\nKuREQjgvPPksnYd3wM3NnZAQhcmTp+Lubs6AmZOZy/v3/g/VRsbNYplXsljy+jK75aU5OVVuV9i+\nk3sTF3HOKp14+wHt6DDgWsrxgrwCVrz9Oyd3R6HL1dG8fVPGPzqGDgMUcrNyeXfux0QfjCk5f98f\nBzm9L5oH3rkHgFZdg2nV9fo9N0IIUROqGlhcAboWfe1f9L2oRcKW7SE/y/YKA1sTN8H+/hsevh70\nGGn+dTgZdoqcDNvDECnxKehyC2yutMjP0ZGbmYuLuzP6/GtDECaTiQRiSSUFA3quxLtyZWMyHt7u\nHDiwj9Wrf2fIkFDmz3+UX99ZaTeo0Gg15e4fYsvFmKRKnT/5ifHkZeax94+DXD53GU9fTzoObs9D\n715bBmoymfj4kS8I33Qt+EqOS+FMeBzPfPs4h9eHWwQVYN6vZMfPuxg0s98ND6cIIUR1q1Jgoarq\nMkVR5imKEos5sJhY3vn+/p44O1fu0191Cwryqekq1CiXclYYlMfVw4WCPMtN0IbN7E+3geZP5J36\ntcHZ1RlDgfX8hLzsfK7EJdFjeJeSYyaTie9fW8a2n3dzKS4FrZPGoiyWE2SQiqbofwX5ei6dTUaj\n1eDt54VTBy0bN64lM/MqmeH2A4fKBhVgXpRa2d+TJz+ax0P/upP4yASCmtUnsEmARfnB9Uc5sf2k\n1XVpl9LZvmQnqUl25mnk6zm5/SSDJvSsVH1sqeu/+9J+aX9ddjPaX9U5FvcA51VVHacoSjfgW8Du\nHthpaRXPzHgzSFpXH5SBinXuievRQMtuLXH3cOPy+St4+XnSbUQXpj87mZjIC6xfuJn4k+dwctZi\nsNHpYSgw8NlfFvHvTW+UJJ9a+/l6fn5nZcmL31h4LQBIILYkqCjLZDSRlZpNwulEmrVvyq5dezAm\nuuCD47JPBndpUfJ7UmgoZMfPu1D3x+Dk7ET30V3pO7GX3WGdwFaNMIHV79nBTRF2J8DGnTyPVz0v\nu/XJyyu44d9b+d2X9kv7pf2OvJ8tVR0KGQRsBFBV9biiKE0URXFSVbUSbylxI/Q6PUlnLuEb6Itf\ng3qVvr7joA70ndKbfb8fuP7JxUwQvT+GkD5t+ffmN0qGNOIi4vnk0S+5dDblurc4dzKBg38eoX/R\nUtYDaw7b7E0oNBWSSorNoKK0nIwcDAUGnF2dSXO6jKfJHyeNZe+YvR6U8jRTmjClKB24ocDARw9+\nSvjmiJLyXb/sJXTuEB56775K5efw9rMfOHj4etC2V2tO7TltVebm6VryMxNCiFtZVRNkxQL9ABRF\nCQayJaiouuy0bH577w8WPruIFe/8TsZl23kViq3+ZB2vjHyTl4e/wQuD/saH939CalJqpZ/7xGcP\n0zW0U6WvizkUy8ZvtpR8/9v7qysUVBQrPUHTXg6JFC5gQG+zrLRCgxF9UdDg1dATQxPL3jGts5bQ\nuYNp1r5phevXuHVDXvnlBRq2bADAuoWbLIIKMM972LlsN8e3nqjwfQFG3DeMBsG2e1V6jOzKtGcm\n02GgYnHcycWJkfeF2tyVVQghbjVV7bH4CvhOUZSdRfdY4Lgq1Q0mk4kTOyLZumQnJ8Miycu6tjRy\n72/7efijB+k02HqhzZYftvPruytLlkrmZuZxeEM4OZm5vPr7Xyv16Vmr1fLSsufY+M1Wtv+0k4So\nxApfGxdxDjBP9Dxz5GyFr/P296LX+Gt7kdRv7M/VROugKIes6/ZWgDmrp5uHKwDuHu50mhiC4tqd\nC2oi7p5u9B7fg0EzB5B0Npnf3vuDuGNx6PL1FOTrybaRaAog42omutxrE1ujD8TYPK9QX8jRTcfo\nPqqrzXJbPLw9uO9fc/npzeUknTGnRvfwcaf/lL5MfHwcWq2Wl5c9x5bFOzhz9Cwubi70ntCzJEeI\nEELc6qo6eTMbmO3gutQZJpOJRS//yI6lYTZzKaScv8Kv766k46CXrQKFvSsP2LxGPRBD+OYIeo7p\nVqm6aDQaxj08igbBgbx/7/8qfJ1BX6o3oaKxjAYGTOtHUKldOAfO6M+Z4/EUlpl3YKRiHWBGo5G8\n7Hy86nmaH+EMd79h/at5YsdJYo6eJSctB08fdyY+NoY9v+3nwumLVufmZuSxdclO7n7dfJ/yJn7a\nKrqSeJWc9ByaKU1xsjFpueeY7nQe2oldv+whJyOXnqO700xpUlLu4ubC+IdHX7ftQghxK5KsOjXg\n8PqjbFuy02b652KxR89yIfoizRXLLvw0O6sGjIVGEk5fqHRgUaxraGeahDSu8BJL76JNtVw9XGnT\nszVHNx6zf7IGlL4h9BzTjUlPjLcoGvPQSPJzdexasZeLsUm4eriiy9GhpYKriEzmFN7FgYWbm7vV\nKYte+ZHN320r+T43I5fl//4dbTkrY0qnBA/p3ZbwLRFW52idtHQb3rnk+8Toiyx5fRnqgZiS/BQj\n7gtl7EMjra51dXdh5L2hFWqio5lMJiJ3RXEpLpmuwzvToEVQjdRDCHF7ksCiBhzdeLzcoALMqxD0\n+dZzDPwb+5Mcf9nquNZJS/P2zapcJ2dXZyY8Opqf/vELeZl51z2/T6lljzOen0zM4ViyrtoeWvCq\n58kry5/HtWjIAsw9DRHbI8lIyWDEPUOZsGAMVy5cxc3LjU8XfEXS7nOkc6VCwyE5GbmYTCZMJhMh\nIZbzE3S5OnYs3WXzOqPB/p9BXta1n8GEx8Zyak8UJ3dFWZwzcHo/ehcN6xj0Bj5/4uuSISKAhNOJ\nLPvXL9QL8q32iZdZqVkcXHsE7wBveo/rYbOnBCD+VAIfzP+S6MOxGA1GvP296DOhFw+9d1/JSh0h\nhLgREljUgIos8WzZuQUtO7ewOj5wWj9ij5yxGg5p17ctPUZXfKzflhH3htKodSPClu8h42omqRdS\nSThtPe+ibc/W9Cw15t+6WyteXvY8b07+j81gqEXH5hZBRdQ+lZ/eXF6SpTKgsR9D5gxmziszAHhx\nyTO0+iCYj354h9zcnOsGYQV5BVxNTKVVh5ZMmWK5Z8belQds1ul6tM7X/mq4urvw4k/PsOnbrUQf\nPoOzixNdQjsxdM6gkqGqsGV7LIKKYrrcAnb/sveGAov4E+eIPhRLcJdglD7Wm42tePt3dv68m7Si\ndOItOjVn7mt30LVUvhAw91R89MiXnC6VRCw7LYftP4XhG+jDnL/NBMwrbdQDMTQIDqKZUvFJr0II\nARJY1Ih2fduy+9d9dsu9/b2YsGCszU+Qo+YNJzczl53L95AUewkPHw86DmrPvLfvtjlxMz9HR0Ge\nDp/6PhWa2Ons4oTRaCQ/K5+gFoG4ebmRcOoCurwC0JiDiAfevdfqXq26BjPyvlA2fL0ZSs078Kzn\nYbH5mC5Xx7cvLrYYcklNSmfNp+sIbFafkfcOw93LjalPTmTx4kVkFcZUqNci82oWgwcPw82tTFbP\nyu3UXiK4s2Xvj4ubCxMfH2c3E1zyOfurYlLtpCm/nvycfD5/4mtO7DyFLleHi5sL7Qe047FPHsKv\ngR8A25eGseaz9RZzVM5HJvDdyz/yny1v4unjUXI8fPNxovbbnogaviWC2a/MYOlbK9i36iCpF9Nw\n9XChwwCFB965lwbBMlwihKgYCSxqQOjcIRzZEM7xbZYZGL38POkxqhsj7h1G+/7t7FwNU56eyPhH\nx5AYk4Rfg3o281hkpGSw+LWfidqnosvV0UxpyugHRjD4jgF27xu+OYKFz35nsTGZq5sLw+4eQlDz\n+gQ2C6TvpF5otba7zO/9x50ENPbnyIZwslKzadAyiJH3htJr7LXejW0/hdmcx2E0GDm49jBte7Ri\n16/7OBkWSf3MJqRx1W6SrGImTAS4BjF//qOYTCa2/rCDIxuPkZuVR8PgQNw8XM2BUQUFNgtk4oJx\nFT4foFGrhnbLAhr7V+pexRa9/COH14eXfK/X6TmxI5Jvnl/MC0ueBuDQ2iNWE18BUuIvs3nRNqY+\nfS0USo5LsTsRNTs1m1Ufr+XPLzeWBIYFeXqObzvJV898V+kVRxVhMpnIy8rD1cNVNlET4jYif5tr\ngLOLM899/xTrvtpExPZILsYmUZBXgKuHK/k5Olw9XK57Dxc3F5tDJWCev/Dxw19YdHnHHD7DheiL\nuHu7ExjkgxoeT6ehHWnW7tpqhHVfbrTa7bRApyd883He3flP3L2sJ0aWptFomPT4OCY9bv+lbC9v\nBUBCVCJvTX2nZFdSjUZDW1MXi71CSgcYJkw440IADZjYdxparZbFry5l47dbS16gMYdi8fD1QKOz\nv1eIh487wZ1aoC8w0LRtI8Y9OpqWnSu3ydeQ2QPZ8v12q+EQNy83hsyyH8zZk5edx4lSE0hLOxkW\nSfK5FBoGNyA7zfa+LABZVy0z7HUY2B53Lzfyc6z3iGnYqoE5iLHxI1IPxhCx/QTdRtzYUFtpmxZt\nI2zZHlLiU/Dy96JLaCfufetOXNyu/7svhLi1SWBRQ1zcXBjz4Aj2rTxIRor5ZZuXlcfhpKOcj7rA\n3395gaAWVUtPfWD1IU4fsN6MKy8zj6/+8h15WXkYC414+LjTY3R3Fnz8IAU6PfGR523e70rCVY5s\nPMagGf2rVJ/SWnZqbh6esPECy7qaSWGZCZUajYYWhNDU1JoULpBDJkaMaNHihS8NaEa9+vUY/cBI\nLsUlE7Zir1UAkZeZR8fB7TGZTJw5GmexyZq3vxezX55hMVxTFc4uzjz+2cP8+MZyTh+IRpejo0XH\nZoy4L5R+kys/vyI7LYfsq7ZT7xbk6zm09giTnhhPg5YNiD1qO49Ii07NLb5v2aUFfSf0JOwXy2E4\nN09Xht05mBX/XWnzPkaDkQvRSQ4LLLb8sJ2f3liOXmee+5KdnkNyXArZaTk8/ZWkxBGitpPAogZt\n/Hor508lWB1PiU9h/cLN3Pevu6p03/NRiTZf3AA56dc+4eZl5bP39/3UC/Rhzt/vwNXNBXuffz28\nPeyUVE6/qX3Y/P12i94UMAdaxS8aW5w0TjTG3Ivg7u1GQOMA8rPzaao0YexDI+k2vAtrPl1Pbobt\nfWmuJqby0f53CPD35LdPN3D2eDwe3u6Ezh1Ck7aNK9UGo9GIQWfAxd3FYnigabsm/HXpM+xffYi4\niHh6jOlOh372h7TK49/ID//Gflw+f9Vm+am9KpOeGM/oecOJ3H2KjBTLnialXwiDZ1r3lLz0w5O4\n+3oSsSOS3IwcGrZqyPC5Qxg6ZxDbfwwj1UayMhc3F9r2dFzWz10r9tr8sz62JYKEqAs071D11U1C\niJongUUNSjp7yW5ZcnzFU2SXFdg04PonlXJ8+0nufmsOSr8Q9q86ZPOcZf/5lfSUdEbcM6zK9QJz\nts9nvn2cJW8uR92nosstoHmHZrh5ulqlzbanXZ8QXl72HEaj0WK+h7u3/aEa16IudidnJ4bfPZTh\ndw+tdN0NegPL/vUbx7ZGmOeQtAhkyOyBjHnQnKciLTmdL578htP7VQwFhWz8ZiudB3fg8S8ewcvX\ns1LPMhqM5Jaz7Df5rDlrp9IvhAX/e4j1X23iXGQCru6utO/XjrvfnG1z8q+ruyvz/nO3zeBo0B39\nOXM8DoPOcl+VzkM7ovR1zHbthYZCUs5bL5cGyM/OJ2qvKoGFELWcBBY1yLOe/ZeNt7/9zaquZ+ic\nQWz6bhsJURcqdH52WjaGgkLmvj6bS3EpxNtYNnkhKpGlb60gsGl9upZKClUVvoG+PPHpwxj0BgwF\nBty93Dm2JYKIHZE2JyKW1bp7SwCrSaRDZw9k3RcbbOb5UAZUreegtG9eWEzYst0l32ddzeLcqQQw\nmRN9ffvCYk6Wmhehz9cTviWC71/+kSc+f6RSz1r7+QZy0u3vCuxearVHt+Fd6Da8C4YCA1pnrd3J\ntaVptVqLJcAAo+4fTkGenrAVe7h05hLe/l50HNyReW/PrVTdy32ukxbfAB+rHhYw74nSJKRyvUdC\niFuPBBY1aOQ9w9j7236yyuxZ4ebldkPzGVzcXHjk/x7gx9eXEXv0LIX6Qvwa1iMnPQe9znqXz4at\nGuLq7oJ/Iz+L5Yll5WbmEbZ89w0HFsWcXZxLVgN0G9mFPhN7sf+Pg+Ve00xpwoRHx9gsc/N0Y9Yr\nM/npjWWkFS/x1ECnQR2469U7bqiuKecuc2TDUavjBp2BsBV76T6qK6f2Wu9KCnBkQzhL/7GCy+ev\nEHfiHFqtlna923DHy9MJbFrf5jUxR86UW58uQztYHXN2vfG/zhMWjGHcw6NIT8nA09ezZAdbR9Fo\nNPQY3dVmfpR2fdrSaYh1u4QQtYsEFjWoWfum3P3mHFZ+tIbkOPPQR2Cz+ox9eFTJy9tYaOTPLzYS\nuesUBfl6mndsxpSnJlC/SfnDHW26t+L1VS8Tc+QM6ckZdBnWkR/+vpSwZXssznP1cCX0rsEA7Fy2\n2+aW3aWlX7b+pOkIGo2GJz9/hDbdWnJydxQGnZ76TQPIycjj/KkENBpo07MNd7wwtSSduC0Dp/Wl\n40CFrYt3kJuZR+vuLRkwrW+FPsWXJ3J3lN0ehORzKVyMvViymqWs/Bwdaz/bYHHs0tlkzkcl8vqq\nl22+vLXlLO1sEBzEHX+dXonaV47WSVvlJbIVMevlGWSl5nB4/VGyUrNxdnVG6RfC/Pfvd/iSViHE\nzSeBRQ0bOmcQ/af0Yd+qgxgKDAyc0a9koqTJZOKzJxayb+W1T/Gn90dzep/Kiz8+Q2Az2592i2k0\nGtr1vpapcf779+Nb34eTOyNJT8mkQasGhN45mNC5QwA4Ex533fpW5wtH66Q1J6Eqs1zVZDLPRK3o\nS8evQT1mvjDVoXVrqjTB2dUZQ4F1j4+PvzchvdsS2Kw+Vy7YnmxpS/yJc2z8bgtTn7JOu9WuX4jt\n/UmctTz433sd0jtRU5ycnXj4w3nMeH4yJ3dF0SSkESG9rDOKCiFqp9r7r9NtxNXDvNyvrBM7Ijm4\n9ojV8YSoRNZ8uo4H3rm3Us9xdnFm7uuzCQz0JiU502pyn5tn+d3e3gHeNzx5syqq+im2IF9P0pkk\n/ILqUc9GErHKaNe7LUq/ECLL7BcC0H1EF7ROWnqM7sbm77fZXZFjy8Vo25u+TXh0DKf3RXN824mS\nY1onLaFzh9AltFOl638rqt+0vs3feyFE7SaBxS3sxE77kxnjT9rOOVERGo3G5oqBIbMGsGPpLptd\n+g2CA7nz1TvKzQhaVkG+nq1LdpASn4JfAz9GPzgCTx8PLsYmEbVXpVn7pg5bbVDWyo/WsHvFXpLO\nJuPpa057/sB/7yUoyKfK93z4g3ksfG4R0QdjMRQY8KrnScdB7bmalMpz/V8hLzufgMYBODlpSU1K\nq9CeMJ6+tue0uLi58Pzip9ixdBfqgRicXJzoMbobfSf2kuECIcQtTQKLW1h53d2u1ZChsFXXlkx/\nbjJrP11fMqHU1cOVLqGdGHzHgErlMkiKvcQnj35pEQCt+t+fNA1pxMUzyeRl5uHs6kxAE3/z0sd8\nA43bNqL/lD6Mmjf8hl6eG77ewm/vryrZvTQ3M4/D68PJy87nox1vVfm+DYKDePW3v3J6fzSJ0Rdp\n378dC5/7nphDsSXnpOal4uHrQbv+IUTtLn++ilc9L0LvGmK33NnFmVH3D2fU/TeWvEsIIW4mCSxu\nYcPuGsyWH7bbnDTYcZDjZ89nXsnkYsxF3LzcMOgN+AT64uXrSdSe0xxZH463vxfdR3Zl/gfzcHUv\nP7BZ+o8VVr0q+dn5nAmPL/neUGAgpdTS0PSUDE7vjyY1Ka1kp82q2LfqoM0t0U/vj+bolghadL+x\nZE/t+7ejff927P51n0VQUSwvMw9MJgKbBXDlgnXCKTAPA0x7ZiLBdtKyCyFEbSWBxS2sUauGTHt2\nMis/XFOSUVLrrKXX2O5Mfmq8Q59l0Bv48MHPiD5wbffLvCzLIZHstBx2/7oPV3dX5n9wv9175WTk\n2kwpXhEmo4mdy/cw8fFxePtVLZdHWlKazeOF+kLOHD93w4FFsQvqRbtluZl5PPXVAtZ+sZHzkQm4\nuLnQukcrmrRtiIeXB4NnDbCbzdRkMnFyVxTHt0agdXZi0Iz+BJdJzy2EELcqCSxucRMXjKXHqK7s\n/Hk3+gIDnQa3p+eY7g4fZw9bvsciqCjPsW0R5Ofk292UTK/To8up+G6iZaVfSufopmMMnT2oStd7\n+3vZXJ3h5OJEm26V21ysPPXLyXBaL9CXkN5tefbbyq12MBqNLHxmEXtXHihZgbLl++1MWDCGO16c\ndkP1FUKIm+HGFveLm6JJ28bc9dos7vvnXfQa26NaJu+dj7Tes8Se9OQMq11QS6sX5EtQcNU2UANA\nY94r43qMRmPJUlQw5/z46pnvSLSz0qJ9/3b0HFW1jbSuJl5l3Zeb2P5TGAX55n0uQu8abDP9tLOb\nM/2nVn7jMYCti3cStnyPxbLW/Ox8/vxsA9GHrYddhBDiViM9FgIAr0oMOzRoEYh/I/v5LDQaDbP+\nOo1PFyzEaLSe63A9zdo1ofOQjnbLYw7HsvqTdcRFnMPZxZl2fdsy528z2bF0Fzt/3m11vkarodeY\n7jz43r2VDspMJhM///MXdi7bU7IN+bJ//8bdb85m6OxBVhlOG7QIZNjcIeVOyixPxI6TNo/r8grY\nt/KARV4SIYS4Fd3WgYVep+fw+qOggd7jeuJSDSspbhej5g1nx9Jd11Jhl6PvpF7XnbzZf2pfkuMv\ns/Kj1RTkXdvJMqCxH95+3ly9mEpeTr7VJEtPXw8e/nCe3QAgMfoiny74issJ14Y6Us5d5mLsJewl\nkDAZTXQf0w2/BtfvBSlrx9JdrPtqk0U9s65msfAviyjUFzL87qG8vuplzoTHkXE5g06DO95QGuyy\nG4CVVlBOmRBC3Cpu28Bix9JdrPlsPUmx5h1EG7dtxJQnxzOsip8kb3f+Df24719zWfH27ySdMf/M\n6gX5Ur9ZADnpOaRfyqB+0/r0mdiTWS/bTid99ngcu5bvJT9XR6uuwUx8bCxD7zRviJadmk2j1g0Z\ndX8orh6u6PP1nIu6wMavNxN9KBZjoZHgTs156qsFdudugHkpaemgouTZ4XH41refoyIjJaOSPxGz\nw+vDba4wMRqN/PTmMvpN6YOnj4fDthUP7tTcIilWae37VU/ODyGEcKTbMrA4cyyOpW+tIDs9p+RY\nUuwlfnxzBc07NiOoiuPst7t+k3vTc0w39q48QF5WPv2n9sGvQT30Oj3Z6Tn4BHiXbBpW1p9fbOC3\n91eXJNfa+fNu9q86xPNLnmbOKzOsznf1cCWkZ2tCvni0UnVMjku2W2avF8XFzYUOA5RKPadYTob9\nHUZzM/PZtmQnk8qkIL8RE58Yx8mwU5w9Hm9xvPvILje0MZ0QQtwst2VgsWPpLougolhOeg47lu6m\nnwQWdrm4uVilWXZxc8G/of1hhLRLaaz5dL1Vxs7T+6P59b9/cP+/Hbfttlc528m36dWa/NwCstMs\nd4vtPrJLpTKGltakbSOiD9pfLZOXlVel+9rj4+/NX5c+w+r/rePs8XicnJ1o3z+EKU9PtJkt9VZS\naCgkbMVekmKS8G/iz8h7hlltzS6EuP3dloFFdpltyEsrnoAnHGfnz3vIvGL75xrj4JUM/ab04ejG\n4+h1eovj9Rr4Mvf12SREXWDTd9u4GH0RDx8POg3tyJ1/r9qW6Vmp2QydPYi9Kw9QkGe9fNbZ1ZlO\ng9tX6d7l8Q305Z5/3Onw+1anKwlX+PjhLyw2stu+ZCcPf/QAIb3a1GDNhBA3220ZWAS1CLJb1iDY\nfpmomsJC+3tiFO+XkZuVyx8frSX2yFkA2vZqw7RnJ+Lp41mpZ/Wf3IekmEtsWbydtCTzRNPGbRox\n86/TCGoeSFDzQHqO6W5xzZnwOBJjLtJpUPsK7RVyctcpVn38J2ePx6PVamnYMoikM8lWO5v2Gtu9\nWjKg1kZL3lhutTvuBfUiS99aweurXpb9TYSoQ27LwGL8o6M5tO6o1Xh8w1YNGf/omBqqVe1RkK/n\nzy82EHPoDGhA6duWCQvG2l1V029KH9Z9udEqUydA626tKMgr4N27P7ZIwHV6fzSxh2N5efnzle4u\nn/7cZEY/MJy9fxzE3dONAdP62qxbyrnLfPPiD6j7Y9Dr9PgEeDN4el/m/uMunJydbN77gprIl09/\nS+rFa9k7c9JzCGwWQMsuwSSdTcbDy51OQzsy84Uplar37So3MxfVTnK12KNnOXssjjY9HDO5VQhx\n67stAwv/hn48tfBRVn6wutQn5NbMeGEqfje4ffbtTq/T8/69H3My7FTJsWNbIji9P5rnFz9tc/Jm\ns3ZNGH73UDZ8s8ViBUXzDs2Y+peJbPx2q82snqcPxLB50TYmVmHyo7e/N2MeGGG33GQysfC5RZwq\ntRFYVmo267/dhpO7K3Nfn23zus2LtlkEFcWuXEhlyJxBPPf9U5Wu6+1Ol1eALldns6xQX1iyoZ0Q\nom64LQMLgNZdW/L8D0+XjI3LJLKK2bxom0VQUez4tpNs/zGM0XZe5ne/OYdWXYM5vCGc/Bwdzds3\nZeKCsdRrUI+4iHi7zztz3H7ZjVD3R9uddBm++Th3vTbLZvf8FRtLWa+V2d5QrK7za1CP5h2algTx\npTVq1YCOAx0/D0UIceu6bQOLYhJQVM7RzcftlqkHY+wGFhqNhkEzBzBo5gCrsvISk1Vl+/dCQyEF\n+QW4e7nbHbtPOJ2IocD23I+s1Gz0OoPN5am+gb52n1sv0LvSda0LNBoNYx8aSVLsJYvlua5uLoTe\nPVT+DgpRx9z2gYWouDWfr+f0fvu7kjq52J6XcD29xvVgz+/7rRJNObk40WdCjwrfR6/T8+Oby4nY\nfpLs9BwatWzAsDsHM2recKtzOw7qgIePu815H0EtgnBxs/2rP+yuQRxef9Qqf4V/Iz9GzbM/9FLX\nDQCJNykAACAASURBVJo5AG9/L7b9tIurCVep18CXAdP7M3im5N4Qoq6RwEIAkJaczp+fbbCZZRLM\n+230GNWtSvfuM6EnYx4cyfYlO9EVDU25ebgy8v5Qeo3rWeH7fPH0t+z/42DJ92fS4kg4dQGNk4aR\n94ZanNu0XWN6jDIn+yrNxc2ZIXcMsNvT0b6/wtw357D+y43mbdE10LJzC2Y8P0VWFF1HtxFd6TZC\ncsQIUddJYCEACFtmPxcFQOjcIfSb3LtK99ZoNNz3z7sYNKMfB9YcAUz0n9qH1t1aVfgeF04ncmxL\nhNXxAp2esOV7rQILgEc/fhAvfy8itp8kKzWbhi0bMP7B4Qy+s/y07sPnDmHIrAFEhp3C2c2FDgMV\ntNpbOzmVEELcKiSwEED5uSiCmgcy//37bzgXQZserau87DByd5RVZs9il89dptBQaLWE1MXNhQfe\nvgeD3oAutwAPH3caNqzH5cvXT5Lm7OJMt5Hy6VsIISpLPoYJAAZO74eXr+1kVZ2HdnBIgiNjoZGC\nfP31T7ShSUhjtM62f1196nuXm+7a2cUZr3qe0usghBA3gfRYCAAatWrIiPuGsX7hJovVFC06NmP6\ns5Nv6N45mbn8+MZyovZEkZ+jo6nShDEPjKzU0ErnoR1R+rQlap/15NJOQxwT+JzeH83JsFN4+now\n4t5h5e6yKoQQwjYJLESJu16bRevurTi87gh52fk0U5ow4bGx+Na3vwTzekwmE/+b/wUndkaWHMu8\nonI+8gKuHq70qOCGcBqNhvELxhJz5KxVau1zJxMwFhqrvEmXQW/gsye+5uiGYyV7kGz8dit3vzmH\nvhN7VemeQghRV0lgISz0m9y7ypM0bTm2JYLIPVFWx3PSc9i2ZGeFAwuAw+uOWgUVAFH7VPauPMDg\nO6xzaFTE7x+s5sCqQxbHLp+/wtK3ltM1tJP0XAghRCXIoLOoVrHhZ+0uYU2JT6nUvZLOXLJdYIK4\niHOVrVoJW5lGAVLOXWH7T7uqfF8hhKiLJLAQ1Sqgkb/dMu+AymWy9LQzuRTAq17ldkktLT/H9j4X\nYN5gSwghRMVJYCGq1dA5g2jWvqnVcY1WQ69xFc+6CeZtym3NowhoEsDI+0OrWkWaKU1sHndxd6FL\naKcq37dYcnwKmxdtI2LHSUwm0w3fTwghbmUyx0JUKxc3Fx567z6WvL6Ms8fiwAT1gnwZfMcAxj8y\nulL3Gnl/KElnk9m1Yg/ZaTkANGrdkDl/m0m9cvb4uJ7xj4wm+lCs1a6mvcf3oF3vtlW+b6GhkG9e\n+MGcIjw9F62zlra9WjP/vXl2gxkhhKjtNDfjE9Tly1m31Me0oCCfCiVJul3VRPuNRiPHtkSQdimd\nXuN63ND29VcuXOXAmkN4+Hgw+I6BNjcTs8de22MOx7Jh4RYuqIm4+7jTZVgnpj872SrpVmUs+9cv\nrP5kvdXxkN5teXPtKw5ZIltZ8rsv7Zf2S/sdeD+b/4hJj4W4KbRaLT3HdHfIvQKb1WfiY+Mccq9i\nIb3bEnIDvRO2hG89YfN47NEzhG86Ts+xjvl5CCHErUTmWAhRDUwmE9lp2bbLjCaSz1VuRYwQQtQW\nElgIUQ00Gg0NWzawWebu7U7HQR1uco2EEOLmkMBCiGoSetcQ3DxdrY53H9WV4E7Na6BGQghR/WSO\nhRDVZOicQZhMJnb8tItLZ5Px8vOka2hn7np9Vk1XTQghqo0EFkJUo2F3DmbYnYPR6/Q4uzrXyEoQ\nIYS4mSSwEOImcHGr+JJYIYSozWSOhRBCCCEcRgILIYQQQjiMBBZCCCGEcBgJLIQQQgjhMFWevKn8\nP3vnHR3Xcd3/z3vbCxa9gwA72MReRLFIpChRohrVqyXLRe6JE8e2fH6JYztxXBLHJXG3bFlWi1Uo\nq1EUSRUWsRexiAArel207fXN7w8ACyy2YEECJCC+zzk8h5iZN28euNy5786931te/iDwDSAEfLuy\nsvKNYVuVioqKioqKypjkvDwW5eXl2cC/AsuBm4HbhnNRKioqKioqKmOT8/VYrAG2VFZWOgEn8Njw\nLUlFRUVFRUVlrHJeZdPLy8u/CUwHsoBM4DuVlZVbE40PhcJCewHlp1VUVFRUVFRGHcNaNl0CsoHb\ngTLg3fLy8rLKysq4VkpHh+c8bzMyDHdN+rHG5fz8l/Ozg/r86vOrz68+//A9f25uWtz2880KaQY+\nqKysDFVWVp6h+zgk9zznUlFRUVFRUfmYcL6GxdvA6vLycrknkNMK2IdvWSoqKioqKipjkfMyLCor\nK+uBF4HdwEbgK5WVlcpwLkxFRUVFRUVl7HHeOhaVlZW/BX47jGtRUVFRUVFRGeOoypsqKioqKioq\nw4ZaNl1FZYwghODN1kPs7KigM+whX5fO2pw5XJk5ddjusaO9gp2dFXjCfkqM2dyRv4RsffzI7+Ek\nLBR2tFfQ4G+n1JTD0oxyZCluJpuKisooRzUsVFTGCE83bOeFpg8I053VXe1t5Zirhs+Hr+fanCsu\neP4/17/Py027CdEdLrXfcZYDjrP8v0l3Ms6YnfA6nxLkT3XvcMRZjTccoMyUx615C1mQPjGl+zb4\nOvjJudeo9NQj6M5ln2Edxzcm3EqO3nbBz6XSTaWrnj80n6DV5aTQkMn6/MVk6MyXelkqH0NUw0JF\nZQzgCfvZ2nY0YlRE2pUAG+2HWJ09C+kC3vBb/F1sbD0UMSp6qfW18dfGD/jahFviXieE4AdnNrDf\ncSbS1hp0ctrdyDcnrme2rWzQe/+m9m0qPPV9cwLHXbV8reIpbs5bwC25CzBq9Of3YCoAbGw9yJ/q\n38Md9kfadnee5PGJ6xlvzruEK1P5OKLGWKiojAEOOs7RGnTE7av2tuIIey9o/vc7PsKZYI5TnsYk\n6zrLIce5mPbOsIfXWw8Met9GXwfHnbVx++xBJ0/Wv8c3Tz6DPRD/2VOl1mfnqLMafzh4QfOMRXxK\nkBeb9kQZFQC1/jaebdxxiVal8nFG9VioqIwBsrRWNMiEic3qNmr0GGTdBc2vJbHkvpzk/eMjd33c\nNQHU+9sHvW9nyI1PJN/sT3uaeLphO18df9Og8w2kxtPK7+q2cNxVR0CEKKnN5trMWdxTeNWQ5xqr\nbG//iKZAZ9y+SncDYaGgkdR3TJXhQzUsVFTGANOtxUyzFHHcXRfTd4W1FOMFGhZrsq/g5ZY9tAdd\nce+diHStKWGfVWMc9L6TzAUUGTJp8HckHVfhqk/a35+AEmKj/RDnPC3s6zpDZ8gd6avztvGsdwcZ\nOgvX58xJeU4VFZXUUc1UFZUxgCRJPFa6hommvvNwiW6j4rPj1lzw/Gk6E/cWXIVFY4hqn2Yp4hNF\nKxNed33OXIoNmXH7FqVPHvS+elnLddmz0Q7yVZTIKzKQjqCbb1U+w+9qt7C57UiUUdFLkDDvt3+U\n0nwfB1ZkzaBAnxG3r9xSpHorVIYd1WOhojJGmGwu5L+nfZJ32o/REuhikimPpRnlFxS02Z+b8xYw\nw1rCZvsRvEqA8aZc1uXORy8n/powyjq+ULqW39dupdrXCoBVY2Bl5gzuzF+S0n3vKbwKm9bM1raj\nVLjrUYitZVhuKUpprqfq36fC0zDouI44npmPK0ZZxx0FS/hz3Xu4lb44ixJDFg8ULr+EK1P5uKIa\nFioqYwidrGHtCLrwJ5rz+VzpdUO6Zp5tAr+Y8Sjb20/QGfKwJH0KRcb4XoxE3JA7lxty5/Jcw07+\n2vQBARGK9I0zZqccE3EizlFRPHIvszTWm3LnM8mUx3Z3BXaXkwJDJuvzF5Gps1zqpal8DFENCxUV\nlQtGK2lYlT0rqq3a28qrLftp8Hdg1RhZkTmNlVkzks5zf9EyJlny2db+Ee6wn3HGbNbnLSZLb01p\nHWFl8CMTg6Tj2uwL1/0Ya0yzlrBiwvTLumy4ysVBNSxUVFSGnROuOn589m+09EuR3dd5mlpfGw8W\nrUh67eL0ySxOIT4jHpMtBTQE4geCapCYnFbAtZmzBzVwPu54wn4cIS85+jS0UuKMoGTUedvY3XUK\nq8bI6uxZSY/MVC4v1E+CiorKsPNC0+4oowK6gybfsh/iltwF2EZI8fHugqWc9jRFZZno0HBT3nxu\nyVvIjOJi2u1uhBC83nqAA46z+MJBykw53JF/JfmG9BFZ12jBFfTxX+de5ZCjCmfIQ5Exm1VZM7mn\nYGnKsTqKEPyq5i22dZyIaGO83LyHTxWvGlZ5eZWxi2pYqKioDCtCCM54muL2tQfdbOs4wc15C0bk\n3hPN+fzb5Ht5pWUf9b52zFoDyzPKWdHjoejNgPhF9Zu83XYkct1RVw1HnDX8y6S7hhwfMpb41yN/\nZXt7ReTnWp+dZxq2oZc13J5isO0rzXvZaD8c1Vbvb+d3dVuZbSvDPCCzSOXyQzUsVFRUhp1k7nWj\nPLLy3AXGTD5fen3C/kpXPe+3n4hpr/HZebF5F39Xtm4kl3fJOOluZF/bmZj2MIJt7SdSNiz2dZ2O\n294c6GRj6yHuLLgyps8bDtDs7yLXkIYlBX0TlbGNalioqKgMK5IkMcNaQlN7rNpjsSGLq7OmX4JV\n9bGn6zT+BGqfp93NuEJe/tKwjePOWkIoTDLnc3f+VYw3517klQ4vle56fEr8524NOFJW4BwoDd4f\nV9gX9XNYKDxRt5VdHSdpCTrI1FpYmD6JL5auVWMyPsao/7IqKirDzqPFq6j3tVPZT1MiU2vhoaIV\n6C7xhqJL4k3RSTL/duYljrn66pfU+to45W7ie5PvoWAMH5NMNOWhlzQERDimL0tnSVkoq8SYzRlv\nc0y7BolplmiV1j/VvcvfWvZHfu4IudncdoSwUBIWtlMZ+6iGhYqKyrCTpbfyo/IHect+mBqvHavG\nyLq8+SnrR/iVIG+0HqTa24pZNnBdzmwmmvOHZW3X5czhtZYDdIU9MX0WjYEDztiiavX+dja07OUL\npWuHZQ3DRVgo1PvasWgMZOvTko6dmVbKvKwJ7GmLPsqQgKUZ5Snf89a8hRxz1dA2QGRsnm1CVDZP\nQAmxu+tk3Dn2d52hLeAiO8U0YpWxhWpYqKiojAg6WcsteQuHfF1H0MW/nX4pytuxtf0oDxddPSxB\nnzn6NO4rWsYzDdsjrnsJmG+bSI4u8eZc62u74HsPJxtbD/JGy0HO+VoxyjpmWcfxmXHXMs6Yk/Ca\nf73iLr576CWOOKvxKgFydTZWZE7nvsJlKd93mrWYb0y4jVda9nHO04JR1jHbVsYjxddEZZZ0Bt20\n+uNrZjjCXqq8zaph8TFFNSxUVFTOm6AS4qDjHEaNjiusZcjDIC/+VMO2KKMCus/1X2jaxarsmcMS\n/Hdr3kLmp03g7bYj+JUgM60lLM+czpP17ya8xiyPnmyHHR0V/KH2nUhlWJ8SZL/jLJ1n3fxk+iMJ\ng2dzjDa+PfkumvydNPs7mWIpPK8sjllppcxKK006JkNnIUefFreyaprGRJlpbMesqCRGNSxUVFTO\nizdaDvC3lv3U+9uR6K5U+lDRipSKjyWjwhVfltsedLLZfoT1+YsvaP5eSkzZfKpkVVTb2pw5bLYf\nwRH2RrVrkLgyY8qw3PdCCCohtrYd4+XmPXHLzZ/2NrPFfoQbcuclnafAkEGBIX5hsuFCL2tZkjE5\nKsailwXpE8m5zGTVLydUw0JFRSUhjb4OXmzezVlPMzpZy5y0Mu4puIqjzhr+VP8eXiUAgABOe5r4\nZfVb/Ne0R8gZ5Lw/GWERW4Ssry+1KqfnS7Exm4eLr+b5xp3Yg91ufKvGwHXZcy65DPgxZw2/rNlE\njc+edFyjP9ZDcKn4dMm1hIVgV+dJ2oJO0jVmFqRP5EtlN1zqpamMIKphoaKiEpdmfyffPfNCVGzB\ncVct57zN6CVdxKjoT2vQyZutB3i4+Jrzvu8USyH1/vaY9nSNmauzZp73vIPRFfIQFgo35MxlReY0\ntrQdJaCEWJ45/ZKLZoWFwm9rNw9qVAAj7okYChpJ5gul1/NI8dXU+9ooMGSSpjVd6mWpjDCqYaGi\ncplS5Wnhr027OO1pRCNpmGEt4eGiq0nvkdt+sWl33IDFvZ2nKTMmPh/vDMZmWwyFewuv4oy7iVp/\n3731aLgxd94FeUISccbT1F1u3V1PSChMNhdwV/6Vw3bkMhzs7KjgrLdl0HGTTPmsyZ59EVY0NMwa\nA1MsRUnHhIXCjvYKmgNdTLMUMdtWdpFWpzLcqIaFisplSLO/k/84uyHKM1Djs1PlbeWegqWc9TRz\nyFEV99owgjCJjyQu9I251JjDv0+9nw3Ne6jrSaVcnjmNqzJTT4lMFXfYx3+eezXKgDrmqqXe186/\n6u5miqUw5bnCQuH5xp0ccpzDqwQoNeawPm8R5dbiwS8ehPYBqZ0D0aNhVlopny25Fp18fkXFUqEj\n4OYN+wHcIT/jzXmsyb4iZf2LZFR5WvhZ9Zuc8jQC3fVd5tjK+MaE27BoVaXOsYZqWKioXIZsaN4b\n97ihwl3Pv515kcRRDt2UW4pwhny0h6I3vDJjzrClhH523JoLnmcwXm3eH9cr0xFys9F+aEiGxU/O\nvcb7HR9Ffq7ytvKRq45vTbydaRdoXCxKn8SzjTviql5OMxfx9Ym3jfgRyM6OCn5XuyUSewKwxX6E\nf5l0Fzbd+R9vCCH4Ve3bEaMCugvW7Xec5fd1W/nq+JsuaN0qF58LNzVVVFTGHHW+WKOil8GMCpvG\nxL2Fy/jq+HXMSSvDojFg05hYkj6Fb05YP+JFqHxKkMOOc1R7Wi94rpZAV8K+RBoM8TjhqmNXZ6wY\nlD3o5NWerIhDXef4adXrfP/0S/y57j26hnBkVGzMZnnmtJh2m9bEPYVXjbhREVRCPFX/fpRRAfCR\nu44/1b9zQXMfd9VS4aqP23fEWU1QiVUKVRndqB4LFZXLEIvm/AqBpWtMPFC0IpKuuCB9Eo6QB62k\nuShVLf+vYSeb24/S6O9AJ2mZaS3hsZI1lJ1nHY8MrSVx3xBKux90nCMgQnH7qrwtvNi4i2cbd/bV\nKOmCPV2n+OdJd1JkzErpHl8uvZE8fTr7Os/gCnspNmaxLnc+C9MnpbzO8+W99o+oi+PhAqLkz8+H\nZn9XwqM1d9hPQATRMXLHOyrDj2pYqKhchizNLGdX56mksRL9mZc2nmnWYtbmzI2R5bZpU9+AL4RN\n9sM827iDUM+agyLEYWcVP61+nZ9Me+S8zvpvzlvAu+3HaQ06ototGgNrcrqDIIUQOMNeTLI+YZ0T\nSxKjSidpeKVlX0zhs2qfnWcbd/JPKdbMkCWJ+wqXDUklc7jwJCk8FlRCCCGiVDeHwoL0SWRqLXSE\n3DF9JcasUSVMppIa6lGIisplyDVZMylJ8U0ZYKqpEIvGwIbmPbzaso+AEv/tfDCCSpjN9g/5v8YP\nOJFACCsR29o/ihgV/TnlaeLdtmPntZ5sfRpfKbuRqeYierfFMmMOny5ezZy0Mja2HuYfK/7MZ479\nhseO/5Z/P/0Sf6nbxqvN+6I22+tz5pCvj38c0ejviLtpApx0xz8CGG2syJye0LszyVxw3kYFdHuG\nrs6awcAZjJKOG3LmXdDcKpcG1WOhohKHbe0fsbXtGPagkyydhaszZ7Im59IKJA03oThVLhPxmv0A\nnn66FW/bj/D18bcO6QjiuLOWX9VsosrXHRuhl7QsSp/E1yfcmlLF045g/M0ZiCsbnQpdQQ+nPU3M\nTivlmszplJlymWUrRStp2Go/yu9rt0Q8De6wn5aAg109hbVeadnHw8VXc03WTMwaA58uWcUTde/Q\nPCBuwx1H76OPwTfNZn8nzzbu5JS7AQmZadYiHipaSaYu8THOcJOlt3J99mxeat4T5eXK1du4o2DJ\nBc//mZJrydBa2N15iq6QmwJDJtflzObqrBkXPLfKxUc1LFRUBvBG60GeqH0nsqFUeeGYowZH2MMd\n+Rf+JTpaSCJwGYNnwOZ4ztvCE/Xv8L0p96Z0fVgo/Lr27YhRARAQIXZ2VpJb/15KGSA5ehvVcQSi\nJDivuhPvtB3jyfr3aOsJSNQiszhjCrNs3TUwtrQdjTm+6E9zoIsn6t5hTtp4MnUWlmVOY55tApvs\nh3nLfjhpgGwv5YNoO3QFPXzv9ItRv7cqXwtnPc38oPxBjLIulUcdFh4puYZiYxYfdFbiCvkpMmZy\nS94CJpkLLnhuSZK4u3ApdxcuHYaVqlxq1KMQFZV+hIXCxtZDMRtKgDBvtR4meJ5HAKORcmvyTW0w\njrtqE+orKEKwp/MUr7bso97Xxvb2E5xLIPB0OIFexkDWZF+BUYrdSKdbS1iWEZsxkQxn0Muf+xkV\nACEUPuis5LmGHQA0p+AFaQ+6eKv1UORns8bA7flLCCmDx65MNOXxUNHKpGM2NO+NMip6Oelp5PU4\nNThGmjU5s/n25Lv58bSH+Or4m4bFqFD5+KF6LFRU+tHs76TaGz+Nsd7fzilPEzOsJRd5VSPDA4XL\nOetpjvICSAyebtqLXwniCfnJ0kWXvj7jaeKXNZs46W5A0B3YWGRIHM/hUaIDA7vTC0XM8cjKrBm4\nwz422g9T7bFj1ui5Iq2Ux8atGXJV1bfaDsekTvbyobOGTwDpWnPMsUY84mlL6JOIVE0xFbAkYwq3\n5S8aNJOmNomEd1WCz6mKyqVGNSxUVPph0Rgxa/S44mwWBkmbND3xYhNUwrxlP8QpdxN6WcvVWdO5\nIq1PBtkZ8iIQCbM2ioxZ/HDqQ2xo2UODrx2zxsA1WTPxKyH2dp1GIJiXVsazjR9QHeeteaI5PyZV\nUhGC/6l+K0rsyB32c8rTiBY5bvBliTEH6FZffLpxO5WuBgSCcksR9xctY7K5T6Tqxtz5rM2Zhz3o\nwCwbsJ6nKqNPSXzE4e859rkyYyqnPI1JDS0ZielxDM0Z1nHUxBHeKtRn8MNpD6V8hGFKkhZ8MdJ7\nVVTOB9WwUBk5hEAjjiLjJCgtBGn0fxGm68zMspayu+tUTN8M67hLXoyqF284wHdPv8BRV02kbWvb\nUe4quJKFtkk807idSnc9CoIp5iLuLbiKOXFqL9h0Jh6JUzBscUZf6XNH2Mcf697B228zNst6bsld\nGOMp+KCzktP9jIr+GDV6XGFfVJtVY8SqMfCTc6+xr+s0zn79u7tOUe1r5YdTH4qqESJLEnn69Lj3\n6Ai62Wz/EL8IYZS0VLgbaQs6ydalcW32LG7LXQjAfNsEXmrcTZDYANbxpjwA7ilYSlfIzbb2Ewmz\nOubZxnNVxtSY9keLr+GMu4lT3qZIW7bOysPFK4cUF7E8Yxo72ysIDFinSdaxOmtWyvOoqFxMVMNC\nZUTQKocxi5+j5TgSYUKiFL90Jz75oUu9tEF5bNwaOoNuKjwNkbYp5gIeKx15ielUea5hR5RRAd3B\nkK8072Vz64e0hvrc/B86q6j3tfMfU+8nl6EX8VqXO58snZWtbcdoD7rI0VlZkz2bRRmTOdB1ljdb\nD1Lna8OqMWHW6BO+4ZtkHbfkLeBA11lcIR82rYmmQBfbOk4kvHejv5O/Ne/j0+NWD7rOja0Hebph\nB51xjIBTNLK/6zQ+Q4CFusm81LSHUByjokCfwe09xcckSeKxcddxT8EyPnSeI6CEOOg4xzlPC3pZ\nyxVppXyi+OqYdEghBE83bKch0BFps8gG7itYxsohVme9MnMqdxRcyZutB3GEvUC3qNcd+YsvWCZc\nRWWkUA0LleFHeLCI76GlOtKkpQaN+DVhpYCgPHo26HjkGzL48bRPsK39I+p8bRQYMlg9TMWWhouP\nEugfeJRATAYHgD3o4PWW/cwdd34VI6/MmMqVA97M93Wd5qdVr9MV8ka1a5AIxzEvioxZPFS0koeK\nViKE4Bsnn45rBAykyd+RwphOnqrfFtl84xFC4dcn32am+QT7nGfijlmYNpGJ5vyotm6dhW6DYLq1\nhFeb99Mc6MQR8nLCWce89AlR499oPcjrrQeifgNuxc//Ne1kaWZ5TJqoEIL32o/zXvtxcvQ2Hi5c\nSbq+b8wnileyNmcO77UfR5Ykrs2aDRK80rwPvaRhdfYsjOeppKqiMhKohoXKsGMUL0QZFb1I+DCI\ntwgyug0LAI0ksyp79LqaRYqKmf1pCUSrSwaVbuVKo6xjprV0yAGQr7UciDEqEmGW9dyQMzfyc5W3\nlUpXQ5Ir+khLQVp7k/1wUqOiF084kNCoANjZVcn9wRVx5byPu2r5r7Ov0tJPpXNX50keLl7JrXmL\nIm3d8Smx2IMuNrYe4oGi5X1tAQdfr/hL1Jxb7Ee4t3BZ1Lg8Qzr3FF4FwDMN29nYeihyPPNS8x7u\nK1zGdTmjr1y6yuWJalioDDuSSBzJLhMb0KYydKaYC6hwx27MGuSEMt3p/YI432g9yKvN+6jztyMB\nk80FPFS0ckh1JxJlLIQRzLSU4Ax7cYX8FBuzuCF3Liv7iR35lWBKcuIWjYHrsgcXJksWjDkUOkJu\n3ms/zvr8RTF9LzR+EGUAAHiVAH9rOcDanLkYemIn4mWJ9OIeEGPy/TMvx8wZQuH5xh0ssE2IKbm+\ns72CFxt3RcVcNAU6+WPdO8ywFlNszE7tQVVURhDVsFAZdhSpNGHOooKa9z4c3Fu4nBPuBk57+oID\nZSRWZk3nsKOajgHlzK0aI2tzuz0GB7vO8WTdu5EjE0G3LPYvq9/iJ9MeIUsfnT6aiGQ1HNblzuea\n7JmEhRL3CGmKpZDxxty4Gg29FBoyuDP/yrhZFwOZYS3htZb9kY+dEgjRvr0CX50dJRBG1mswjcsh\nc/k0ZH3yrz2dFJsq6lOCnOr3u+5Pk7+DDzpOsiq7+7ikxJBFRZyjKgmY2i/Dxe53cMbTHHfOMII3\n7YdiDIsdnSdiAjkBHGEvG+2H+UzJtQmfS0XlYqEaFirDjl9aj1G8gpaKqHaFdHzS7Qmv0yq7MYhN\nSHgISxPw8SBCHnqw4eVAps7C96fcx4bmfZz1NmOUtSxOn8I1WTPZ1XmS5xt3cKZHkGq8MZc7xbvb\nwAAAIABJREFU8pdEVB63th+NG4fREnTweusBHi6+OqU1zLGNj2sYTDDlsSJrOkDCuBSNJLM+fzG/\nr9sS9YafrjFxddZMplgKWJY5Db2k5c3WQxzoOoNfCVJmyuXO/CtjjJ9lGdNYYJvEvs7TNL+6H8fh\nKsIef1RgpfN4HW3bTmCbO578WxciybFHPzISV2ZMidsuJ9ET7K9bcWv+Qo44q2M8EVMtRSxK78u2\naQu6knptHMHYox1XKLE3JFmhMBWVi4lqWKgMP5IOp/TDnqyQw0j4CDMVr3Q/IXlx3EuMyhOYxRNI\n9Hw5CtDzPg7lpwhZ9XLEw6o18YniWOXGqzLLWZIxhWOuGsKKwhzb+KgNvitJzY1Ugil7+WTxNbT4\nuzjQdSbyFl1qzOGxkjUpBbpelzObPEM6W+xHerJN0rghd26Uh+J/qjayqe1wxBNxyFnFYUcV/zr5\nbvIMfSmnsiTxrQnreejxz+I/fA6DLBGWdVGlzCVJQvEG6NhZSbDNScmjq2KMCwXB9o4TrM+P/pzq\nZS3TrMV80FkZ8xylxhyW9DNGJpkL+ObE9Wxo3sNpTxOOkA+/EqTS3cC9H/4Ui8bAsoxpPFS0Aots\nwK3ENwjiyX0XG7M46DwXd3xpjx6IisqlRjUsVEYERR6Hi/9CEk7AjyAbEgQHSkozRvFcn1HRg5aT\nmMTv8PDti7DisY83HOBvLfs462lGL2u5KmMqV2XGSl0n0oCA7nTLXgJKiM32D+kMeZhqLmRh+qQo\nD4Be1vL3Zet4quE96nztTLMU80DR8pQKivUyJ62MOWnxM1UqXfW823485lStytfKk/Xv8Y2Jt0W1\nP/XHJwieamFKWveGLAQ4wx6cIR/esD/ipZFkCVdFA82v7qdgfWwshSccv2jYw8Urqfe1R4mFZWot\nPFC4DO2A45Np1mK+Zb2Dfz/9UqRoGXQbLs6wj7faDtMY6OD67NlsaN0Xcy8JCX+cuJHb8hax33GW\nxgGZMuXmItblzo+7bhWVi41qWKiMKEJKg0G0EwxsREP8lEId51cO+3LDEfTyndN/pbKf9sa29hPc\nklfPZ8dFn7uvy53P3q4zMXEYZcYcbs5bAMAxZw2/rNlETU+ApgaJubYJfGvi7RE1yC32I/ylYVtE\nGvuku5GOkJu/K1sXk2GyqfUwW9uP0ezvJENnYWn6FO4pXBYz7rS7kU1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OAAAg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\nvpPDcjbq2zr59QenWZQ+E0N/AawVWcn846ObePvERWqa2wkJs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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# now let's compare this to the sklearn's KMeans() algorithm\n", "\n", "# fit k-means to blobs\n", "\n", "from sklearn.cluster import KMeans\n", "\n", "kmeans = KMeans(n_clusters=k)\n", "kmeans.fit(X)\n", "y_kmeans = kmeans.predict(X)\n", "\n", "# visualize prediction\n", "fig, ax = plt.subplots(figsize=(9,7))\n", "ax.scatter(X[:, 0], X[:, 1], c=y_kmeans, s=dot_size, cmap=cmap)\n", "\n", "# get centers for plot\n", "centers = kmeans.cluster_centers_\n", "ax.scatter(centers[:, 0], centers[:, 1], c='black', s=200, alpha=0.75)\n", "plt.title('sklearn k-means', fontsize=18, fontweight='demi')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### To build our intuition of this process, play with the following interactive code from Jake Vanderplas in an Jupyter (IPython) notebook" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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5XDoaIdmrNC0hnf2rDt5vEwWCeoEQcsEDITcrjwtBleu1mXWn/j+FCAS1gRBy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\n3ewEyM/J58MHPyXh8M02c2cOxHPucAIvr3gWTTX9XeoCIeSCRoXRaOT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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# code sourced from:\n", "# http://nbviewer.jupyter.org/github/jakevdp/PythonDataScienceHandbook/blob/master/notebooks/06.00-Figure-Code.ipynb#Covariance-Type\n", "\n", "from ipywidgets import interact\n", "\n", "def plot_kmeans_interactive(min_clusters=1, max_clusters=6):\n", " X, y = make_blobs(n_samples=300, centers=4,\n", " random_state=0, cluster_std=0.60)\n", " \n", " def plot_points(X, labels, n_clusters):\n", " plt.scatter(X[:, 0], X[:, 1], c=labels, s=50, cmap='viridis',\n", " vmin=0, vmax=n_clusters - 1);\n", " \n", " def plot_centers(centers):\n", " plt.scatter(centers[:, 0], centers[:, 1], marker='o',\n", " c=np.arange(centers.shape[0]),\n", " s=200, cmap='viridis')\n", " plt.scatter(centers[:, 0], centers[:, 1], marker='o',\n", " c='black', s=50)\n", " \n", "\n", " def _kmeans_step(frame=0, n_clusters=4):\n", " rng = np.random.RandomState(2)\n", " labels = np.zeros(X.shape[0])\n", " centers = rng.randn(n_clusters, 2)\n", "\n", " nsteps = frame // 3\n", "\n", " for i in range(nsteps + 1):\n", " old_centers = centers\n", " if i < nsteps or frame % 3 > 0:\n", " labels = pairwise_distances_argmin(X, centers)\n", "\n", " if i < nsteps or frame % 3 > 1:\n", " centers = np.array([X[labels == j].mean(0)\n", " for j in range(n_clusters)])\n", " nans = np.isnan(centers)\n", " centers[nans] = old_centers[nans]\n", "\n", " # plot the data and cluster centers\n", " plot_points(X, labels, n_clusters)\n", " plot_centers(old_centers)\n", "\n", " # plot new centers if third frame\n", " if frame % 3 == 2:\n", " for i in range(n_clusters):\n", " plt.annotate('', centers[i], old_centers[i], \n", " arrowprops=dict(arrowstyle='->', linewidth=1))\n", " plot_centers(centers)\n", "\n", " plt.xlim(-4, 4)\n", " plt.ylim(-2, 10)\n", "\n", " if frame % 3 == 1:\n", " plt.text(3.8, 9.5, \"1. Reassign points to nearest centroid\",\n", " ha='right', va='top', size=14)\n", " elif frame % 3 == 2:\n", " plt.text(3.8, 9.5, \"2. Update centroids to cluster means\",\n", " ha='right', va='top', size=14)\n", " \n", " return interact(_kmeans_step, frame=[0, 50],\n", " n_clusters=[min_clusters, max_clusters])\n", "\n", "plot_kmeans_interactive();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Now we are ready to explore some of the nuances/issues of implementing K-Means as an expectation maximization algorithm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### the globally optimal result is not guaranteed\n", " - EM is guaranteed to improve the result in each iteration but there are no guarantees that it will find the global best. See the following example, where we initalize the algorithm with a different seed.\n", "\n", "### practical solution: \n", " - Run the algorithm w/ multiple random initializations\n", " - This is done by default in sklearn" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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lW+x8ZdZDnOtu4Lynifn2KZSl5vKFM79LuDeAhY7yYbd/JBR7KXW+xFyRXEs6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\nG4l+QXlhBZvf29bpuN/79YetSQW0XL1I3a3y7tMfdXofnVFWX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "centers, labels = find_clusters(X, k, rseed=11)\n", "\n", "fig, ax = plt.subplots(figsize=(9,7))\n", "ax.set_title('sub-optimal clustering', fontsize=18, fontweight='demi')\n", "ax.scatter(X[:, 0], X[:, 1], c=labels, s=dot_size, cmap=cmap)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### number of means (clusters) have to be selected beforehand\n", " - k-means cannot learn the optimal number of clusters from the data. If we ask for six clusters it will find six clusters, which may or may not be meaningful.\n", " \n", "### practical solution:\n", " - use a more complex clustering algorithm like Gaussian Mixture Models, or one that can choose a suitable number of clusters (DBSCAN, mean-shift, affinity propagation)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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vg6ODTd0Oep2elPNX8fbzssuy854+nsx7eQ5xpxP4x6x3zIZWnD97gbX/28hD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wDZhrlkG3z+Boc63+WUdavycYNsP65zX/UTBetLuzfw95+hm0WdgglevDqFXMOSQV17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\nb89IKiCddIT0fcTdc3CNjuJUJe4NBHmq0+fjGNQRZyZR8z+6D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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "labels6 = KMeans(6, random_state=random_state).fit_predict(X)\n", "\n", "fig, ax = plt.subplots(figsize=(9,7))\n", "ax.set_title('too many clusters', fontsize=18, fontweight='demi')\n", "ax.scatter(X[:, 0], X[:, 1], c=labels6, s=dot_size, cmap=cmap)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### k-means is terrible for non-linear data:\n", " - this results because of the assumption that points will be closer to their own cluster center than others\n", "\n", "### practical solutions:\n", " - transform data into higher dimension where linear separation is possible e.g., spectral clustering" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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3MWm5CkMPjnnkzeGIXWf4UZTZkBT31ZwrZCiadw8FDRLRLV+uzCQZwZIjIxdR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\n1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ik7Qvj/qxBa0X5Z/ug9ujuv/Pk8zTo3ISg8CFOwCYNBT1Qd/8ESa//YwIa51SvCs3od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\nTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.datasets import make_moons\n", "\n", "X_mn, y_mn = make_moons(500, noise=.07, random_state=random_state)\n", "\n", "labelsM = KMeans(2, random_state=random_state).fit_predict(X_mn)\n", "\n", "fig, ax = plt.subplots(figsize=(9,7))\n", "ax.set_title('linear separation not possible', fontsize=18, fontweight='demi')\n", "ax.scatter(X_mn[:, 0], X_mn[:, 1], c=labelsM, s=dot_size, cmap=cmap)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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T7vsSLT3sHP8dCBzSrpxjNJWq+Rymok8TrGM8jO5T7ffRCt9Y57pt2jwn46Vu/EfljdnP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\nTxcGTx+Al58n2RnZzJv9CxePXMLeyZ5hMwfTd0Jvq+9lzvJPV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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.cluster import SpectralClustering\n", "\n", "model = SpectralClustering(n_clusters=2, affinity='nearest_neighbors',\n", " assign_labels='kmeans')\n", "\n", "labelsS = model.fit_predict(X_mn)\n", "\n", "fig, ax = plt.subplots(figsize=(9,7))\n", "ax.set_title('kernal transform to higher dimension\\nlinear separation is possible', fontsize=18, fontweight='demi')\n", "plt.scatter(X_mn[:, 0], X_mn[:, 1], c=labelsS, s=dot_size, cmap=cmap)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### K-Means is known as a hard clustering algorithm because clusters are not allowed to overlap. \n", "\n", "> ___\"One way to think about the k-means model is that it places a circle (or, in higher dimensions, a hyper-sphere) at the center of each cluster, with a radius defined by the most distant point in the cluster. This radius acts as a hard cutoff for cluster assignment within the training set: any point outside this circle is not considered a member of the cluster.___ -- [Jake VanderPlas Python Data Science Handbook] [1]\n", "\n", "[1]:http://nbviewer.jupyter.org/github/jakevdp/PythonDataScienceHandbook/blob/master/notebooks/05.12-Gaussian-Mixtures.ipynb" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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tEQgEgmuBXSUuBoZGy6Od2jiOg9+n0dm2Mx8eerCT/7jnn/Gd1BlmrBwdWhMP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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# k-means weaknesses that mixture models address directly\n", "# code sourced from:\n", "# http://nbviewer.jupyter.org/github/jakevdp/PythonDataScienceHandbook/blob/master/notebooks/05.12-Gaussian-Mixtures.ipynb\n", "\n", "from scipy.spatial.distance import cdist\n", "\n", "def plot_kmeans(kmeans, X, n_clusters=k, rseed=2, ax=None):\n", " labels = kmeans.fit_predict(X)\n", " \n", " # plot input data\n", " #ax = ax or plt.gca() # <-- nice trick\n", " fig, ax = plt.subplots(figsize=(9,7)) \n", " ax.axis('equal')\n", " ax.scatter(X[:, 0], X[:, 1],\n", " c=labels, s=dot_size, cmap=cmap, zorder=2)\n", " \n", " # plot the representation of Kmeans model\n", " centers = kmeans.cluster_centers_\n", " radii = [cdist(X[labels==i], [center]).max() \n", " for i, center in enumerate(centers)]\n", " \n", " for c, r in zip(centers, radii):\n", " ax.add_patch(plt.Circle(c, r, fc='#CCCCCC',edgecolor='slategrey',\n", " lw=4, alpha=0.5, zorder=1))\n", " return \n", " \n", "X3, y_true = make_blobs(n_samples = 400,\n", " centers = k,\n", " cluster_std = .6,\n", " random_state = random_state)\n", "X3 = X3[:, ::-1] # better plotting\n", "\n", "kmeans = KMeans(n_clusters=k, random_state=random_state)\n", "plot_kmeans(kmeans, X3)\n", "plt.title('Clusters are hard circular boundaries', fontsize=18, fontweight='demi')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### A resulting issue of K-Means' circular boundaries is that it has no way to account for oblong or elliptical clusters. " ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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oADjR/8Ei97IiYm9dGa93DucUELIs4fcolAd8fOmFy/RNOBVM22rL+OBtKs1V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6wAUb241+NQypTfUa7+DlnMqGKWW/cQ1q9C52PjHmdZFgNDw3klrQCVwcCsl9pOBUkSWdJQw+4D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\nQeAvvvEB/vnir+cqNIrhCXpYdeoy3vcPV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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rng = np.random.RandomState(13)\n", "X3_stretched = np.dot(X3, rng.randn(2, 2))\n", "\n", "kmeans = KMeans(n_clusters=k, random_state=random_state)\n", "plot_kmeans(kmeans, X3_stretched)\n", "plt.title('Clusters cannot adjust to elliptical data structures',\n", " fontsize=18, fontweight='demi')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### There are two ways we can extend K-Means\n", "\n", " 1. measure uncertainty in cluster assignments by comparing distances to all cluster centers\n", " 2. allow for flexibility in the shape of the cluster boundaries by using ellipses" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Recall our previous height example, and let's assume that each cluster is a Gaussian distribution!\n", "\n", "#### Gaussian distributions give flexibility to the clustering, and the same basic two step E-M algorithm used in K-Means is applied here as well. \n", "\n", "1. Randomly initialize location and shape\n", "2. Repeat until converged:\n", " E-step: for each point, find weights encoding the probability of membership in each cluster.\n", " \n", " M-step: for each cluster, update its location, normalization, and shape based on all data points, making use of the weights\n", " \n", "#### The result of this process is that we end up with a smooth Gaussian cluster better fitted to the shape of the data, instead of a rigid inflexible circle. \n", "\n", "#### Note that because we still are using the E-M algorithm there is no guarantee of a globally optimal result. We can visualize the results of the model. " ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# code sourced from:\n", "# http://nbviewer.jupyter.org/github/jakevdp/PythonDataScienceHandbook/blob/master/notebooks/05.12-Gaussian-Mixtures.ipynb\n", "from matplotlib.patches import Ellipse \n", "\n", "def draw_ellipse(position, covariance, ax=None, **kwargs):\n", " \"\"\"Draw an ellipse with a given position and covariance\"\"\"\n", " \n", " # Convert covariance to principal axes\n", " if covariance.shape == (2, 2):\n", " U, s, Vt = np.linalg.svd(covariance)\n", " angle = np.degrees(np.arctan2(U[1, 0], U[0, 0]))\n", " width, height = 2 * np.sqrt(s)\n", " else:\n", " angle = 0\n", " width, height = 2 * np.sqrt(covariance)\n", " \n", " # Draw the Ellipse\n", " for nsig in range(1, 4):\n", " ax.add_patch(Ellipse(position, nsig * width, nsig * height, \n", " angle, **kwargs))\n", " \n", "def plot_gmm(gmm, X, label=True, ax=None):\n", " \n", " fig, ax = plt.subplots(figsize=(9,7)) \n", " ax = ax or plt.gca()\n", " labels = gmm.fit(X).predict(X)\n", " \n", " if label:\n", " ax.scatter(X[:, 0], X[:, 1], c=labels, s=dot_size, cmap=cmap, zorder=2)\n", " else:\n", " ax.scatter(X[:, 0], X[:, 1], s=dot_size, zorder=2)\n", " ax.axis('equal')\n", " \n", " w_factor = 0.2 / gmm.weights_.max()\n", " for pos, covar, w in zip(gmm.means_, gmm.covariances_, gmm.weights_):\n", " draw_ellipse(pos, covar, ax=ax, alpha=w * w_factor)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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GshFCik6PnqLkVguMmBJmMLy9FV1cl3TqcT6bfu+S2z2Rf5mXzBPzlo16Gb6a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\nDevEWEpWZei3a89Jj+qLoTfoQ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2QFk06N+kRvMBrQxYg8jbT0IfiCmO0L0YvO8030XG6L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\nv3uTlutNyKpC1c4aHv/XT+PMc2V0LJuO1HHmO/GVRQHWba9K8IzscNgUi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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gmm = mix.GaussianMixture(n_components=k, random_state=random_state)\n", "plot_gmm(gmm, X3)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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97NS30kWSl5xdpMnjNgkmXMXjmHb6oqTLcU5rQzxgb2e9t6pu37FygdP6aMPz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\nA8V0nn2PvYaZK9G1fhFLb1wzYRp18vW32PXNlxg+fA7Fp7J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T4YCGXbY5/Go/B5/fVzVm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\nIHHfDXs4N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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# lets test on the stretched data set\n", "\n", "gmm = mix.GaussianMixture(n_components=k, random_state=random_state+1)\n", "plot_gmm(gmm, X3_stretched)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Notice how much better the model is able to fit the clusters when we assume each cluster is a Gaussian distribution instead of circle whose radius is defined by the most distant point." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gaussian Mixture Models as a tool for Density Estimation\n", "\n", "#### The technical term for this type of model is: \n", "\n", "> __generative probabilistic model__\n", "\n", "#### Why you ask? \n", "\n", "Because this model is really about characterizing the distribution of the entire dataset and not necessarily clustering. The power of these types of models is that they allow us to generate __new__ samples that __mimic__ the original underlying data!" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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J2qMniQcGeWH4V+radbXA3bt+nXhwsCED7QyKAh2x5zk79T7Gy7fx3KVf5TXb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\nsFul3AjSRWTJiY9YXCcaXz7hlolE1BLebPlbSl1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0I1lVvv1cU/0jLHJCZihSnOqC/Xjs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\ncDpUXHZh6egvQnwIAHDY1D5nvAiuDiFAkqOoCml5md3OiYQjbPvRppiuu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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gmm2 = mix.GaussianMixture(n_components=2, covariance_type='full',\n", " random_state=random_state)\n", "plot_gmm(gmm2, X_mn)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we try to cluster this data set we run into the same issue as before.\n", "\n", "Instead let's ignore individual clusters and model the whole distribution of data as a collection of many Gaussians. " ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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JsjPU29FuLLZlpkSaplQbEUGY5IrARCm+9eJZjp9bjpbMTLgs1UK6PbCJSjtm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\nbWF4rbh0vQbHC2DoDJ7gCBoCOUMDIaorEhf4eKDlwMCbpNy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DWaVm+cHRPQDUgnMmIVUz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\n6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dN2FGGOnU9jnUkUobc6JrPKWwZ0jYGxcKTn73ghdpqDbQ3b0NAM/dySe17ybcnkWKqZ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\nvpjH0op6c/SqxCiWVjum5g6qNWO0UhRyDgtlb2yuy+MPmS2cai3uPu/Vv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2LktQmCYC4I\ngs8HQeC2j30n8DcHc5qHi9w34x31eycIgjngPwMfGix0uNPuHZVlR2KrbCJBEPwI8K+ABzB7Z5fC\nMHxvEAQfA74UhuFfBkHwE+1jMuA3wzD8/YM749lpJzU9DZzFJIT9szAMzw9cm18DfhhThvwnYRj+\nh4M749kIguBXgXdgfuefAx7FVP38cRAE7wB+rX3oZ8Iw/C8HdJoHYpdr8/PAPwXqmIz9f3FU9u2D\nIHgM+K/AvUCEqUz4E+Af5L6Z6Poc5XvnZ4F/C7zY8+P/A3znTrt3JPgQQgghxEzJtosQQgghZkqC\nDyGEEELMlAQfQgghhJgpCT6EEEIIMVMSfAghhBBipiT4EEIIIcRMSfAhhBBCiJn6/7Aji+zKiGQ+\nAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gmm16 = mix.GaussianMixture(n_components=16, covariance_type='full', \n", " random_state=random_state)\n", "\n", "plot_gmm(gmm16, X_mn, label=False)\n", "plt.title('Collective Gaussian clusters',\n", " fontsize=18, fontweight='demi')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looks like the collection of clusters has fit the data set reasonably well. Now let's see if the model has actually _learned_ about this data set, such that we can create entirely new samples that _look_ like the original." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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t85q1hd6FrVTMjyDqFBJKCCF2zRylqs2tzOaHY9OWtRzBgA+tzUFb5wkFvVi/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Xnew, ynew = gmm16.sample(500)\n", "\n", "fig, ax = plt.subplots(figsize=(9,7))\n", "ax.scatter(Xnew[:, 0], Xnew[:, 1]);\n", "ax.set_title('New samples drawn from fitted model',\n", " fontsize=18, fontweight='demi')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Generative models allow for multiple methods to determine optimal number of components. Because it is a probability distribution we can evaluate the likelihood of the data using cross validation and/or using AIC or BIC. \n", "\n", "Sklearn makes this easy." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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1QINpmrcCB4FVhmFEGoYRiqsXZDfwHvDY6NsfBN53U+0+pzBhGQBHm4omfH1d\nQSI2q4XdRdoIT0RE5obJPDVTaBjGB8ATwLcNw/hg9GmYy4w2qH4PeBdXU+pTpml2Ai8CNsMw9gDf\nxPWkjUxBbuRCQv1CON58khHH1Uu6h4f4syw7lvMt3dQ0dXugQhERkZszmWbVo7gex73W6xnjvn4Z\nePmK10eAJ6dcoYyxWW2siF/K7rr9VHScZVF0zlXnbFqaxLHyFnafrCc90ZjgKiIiIt5DK6vOMYXx\n15+eWZwVTUSoPwdONzE0rI3wRETEuymIzDELIzOI8A/nRMsphh3DV71us1rZsDiJ3oFhjpW3eqBC\nERGRyVMQmWOsFisrE5bSO9xH2YWKCc/ZOLYR3pVr0ImIiHgXBZE5qDB+OQBHmyeenkmMDiZnQQQl\nVe20dvbNZmkiIiI3RUFkDsoITyUmMIqTLacZHBma8JyNS5NwAntPNc5ucSIiIjdBQWQOslgsrIxf\nRv/IACVtZROes2pRPAF+NvacbMChNUVERMRLKYjMUYUJ15+eCfS3syovnraufsqq22ezNBERkUlT\nEJmjFoQmER8cy6nWUvqHByY8Z9NY02rDbJYmIiIyaQoic5TFYqEwfjlDjiGKW0smPCc7JYKE6GCO\nmC309E/cSyIiIuJJCiJz2NjeM80nJ3zdYrGwaWkSwyMODmkjPBER8UIKInNYUkgCySGJlLSV0Ts0\n8WO66xcnYrVY2K3pGRER8UIKInNcYcJyhp0jFLWenvD1yNAAli6MoarxIrXN2ghPRES8i4LIHHdp\n75lj19h7BsavtKpRERER8S4KInNcXHAMaWELKGuvoHuwZ8Jzli6MITzYj/2nGxkadsxyhSIiItem\nIDIPFCYsw+F0cLzl1ISv221W1i1OpLtviKJKbYQnIiLeQ0FkHpjU9MwS1/SMmlZFRMSbKIjMA1GB\nkWRFZFDRcZbOga4Jz0mJCyUrOZzic21c6Oqf5QpFREQmpiAyTxQmLMOJk2PXWFMERjfCc8K+Ym2E\nJyIi3kFBZJ5YEbcUCxaOXWPvGYDVixLwt1vZc7IBpzbCExERL6AgMk9EBISRE7WQs53VtPVNvMld\ncKCdQiOe5o4+yms7ZrlCERGRqymIzCO3XGpavc6oiDbCExERb6IgMo8si1+M1WK9bhDJTYskLjKQ\nw2YzfQPDs1idiIjI1RRE5pFQvxAWRedQc7GO5t6WCc+xWixsXJLE4JCDw2XNs1yhiIjI5RRE5plb\n4pcDcLQKgd9hAAAgAElEQVTp2k/PbFiShAXYXVQ/S1WJiIhMTEFknlkal4/dar/u9Ex0eCAFWdGc\nqe+irnXiZeFFRERmg4LIPBNkD6Ig2qC+p5H67muvF7JpaTIAe9W0KiIiHqQgMg8VJrienjl6nVGR\n5dmxhATa2VfcwPCINsITERHPUBCZhxbH5uNv9eNYU9E1Fy7zs1tZV5BIV+8Qp860zXKFIiIiLgoi\n81CAzZ8lsfk097VS2113zfM2LtVGeCIivs7pdFJe20Glhxa6tHvkU2XGFSYs42hzEUebikgLWzDh\nOWkJYaQnhHHyTBud3QNEhAbMcpUiIuIpF3sH2XuqkV1F9TRd6CUpNoS/+8qaWa9DQWSeyo82CLQF\ncrSpiEcW3ofFYpnwvI1Lk/jNtnL2nW7k3jXps1yliIjMJqfTSVlNB7tO1HGsvIXhESd2m5V1BQl8\n5p48j9SkIDJP+dn8WBZXwMHGo5zrqiErYuKQsSY/gRd3VrLnZAP3rE67ZmAREZG5q6t3kL2nGvjw\nRD1N7X0AJMUEc9vyFNYtTiQ0yI+4uDBaWi7Oem0KIvNYYcIyDjYe5WjTiWsGkdAgP1bmxnKotJkz\n9V1kp0TMcpUiIjITHE4nZnU7u4rqOWq2MOK4NPqRyK3Lk8lZEOEVP3wqiMxji6JyCLEHc6z5JI/m\nPIjVMnFv8qalyRwqbWZ3Ub2CiIjIHNfV4xr92FVUT/Po6EdybAi3Lk9mXYFr9MObKIjMYzarjeXx\ni9lbf4jKjnPkRi2c8Ly8jChiwgM4VNbMZ+7MIdBffyxEROYSh9NJaXU7u07Uc7zcNfrhZ7eyYXEi\nty5PYWFKuFeMfkxE/+LMc4Xxy9lbf4ijTSeuGUSsFgsbliTx2t4q9hU3csfKiZ+yERER79LZ81Hv\nR3OHa/QjJS6EW5cls25xIiGB3jX6MREFkXkuJyqLMP9Qjrec4pO5j2Cz2iY8b/OyZN47XMtLH5yh\nIDOahKjgWa5UREQmw+F0UlrVzq4TdRyvaGXE4cTfbmXDktHRj2TvHf2YiILIPGe1WFkZv5Rd5/dh\ntleSH2NMeF50eCBfuNvg6ddL+Nmrp/nLzxdit2m9OxERb9HZPcCeUw3sOlFPa2c/AAviQrh1eQrr\nChIIngOjHxNREPEBhfHL2XV+H0ebiq4ZRADWFiRSfO4C+4ob+cOHZ3ns9uxZrFJERK40POLg1Nk2\n9p5qpKhydPTDz8rGpUncujyZrKS5NfoxEQURH5AZkUZkQARFrcV82vFx/KzX/rY/vjWXyrpO3j5Y\nQ35GNAWZ0bNYqYiIANQ0XWRfcSP7TzdysXcIgNT4UG5dnsza/ESCA+fPP9/z507kmqwWK4Xxy9hR\n+yGlbSZL4wqueW5QgJ2vPVTA3z9/lF+8UcJTX1pNeIj/LFYrIuKbunoHOXi6ib2nGqhp7gZcaz3d\nWbiADUuSSEsInfOjHxNREPERhQmuIHK0uei6QQQgMymcR29dyH+9X8kzb5Xy7U8snZd/+EVEPG14\nxMGpM23sOdXAyTNtjDic2KwWVuTEsmFJEksXxsz7fj0FER+RFraA2MBoTraWMDgyiL/t+qMcd61O\n5XTVBU6eaWP7kfNsXZU6S5WKiMx/NU0X2XOqgYMlTZdNvWxYksTa/ASfGolWEPERFouFwoTlvFu9\nk+K2MlbGL73u+VaLha/cn8f3nznESx9UkpsaSXpi2CxVKyIy/3T1DHKgxDX1Ujtu6mXrLalsWJJI\nWoJv/h2rIOJDChOW8W71To42nbhhEAGICA3gy/fn888vFfGz107z10+sIsB/4nVIRETkasMjDooq\n29hXfPXUy8YlSSzxgamXG1EQ8SHJIYkkBsdT3FZG33A/QfbAG75n6cIY7lqVynuHa3lhezlP3ueZ\nbaJFROYKp9NJTVM3e081cKCkie4+19RLWoJr6mVNfgLhwb4z9XIjCiI+xDU9s4w3z23jVGsJqxNX\nTup9j966kLKadnafbKAgM5rVeQkzXKmIyNzT1TPIgdON7DnVyPkW19RLWLAfd61KZf1i3516uREF\nER9TGO8KIkebTkw6iPjZrXztoQKeevYwz71jkpUUTmxk0AxXKiLi/YaGHRRVtrKvuJFTZz+aelmZ\nG8eGJYksydLUy40oiPiYhJB4FoQmU3KhnJ6hXkL8JrenTFJMCI/fmcuv3i7j6ddL+PPHV2Cz6j8u\nEfE9TqeTM/Vd7Ctu5HBpEz39w4Br6mXj6NRLmKZeJk1BxAcVJizj/Jl6ilqKWZ+8etLv27g0idNV\nFzhU2sxre6r42OasGaxSRMS7tHb0sf90I/uKG2lqd+10GxHqzz1r0lhfkMiC+FAPVzg3TSqIGIax\nGHgV+JFpmj8xDCMV+BXgBwwBnzNNs9EwjMeB7wAO4GnTNH9pGIYf8CyQDowAT5qmedb9tyKTVRi/\njFfPvM3RpqKbCiIWi4Uv3G1wpq6LN/ZXkZ8RhZEWNXOFioh4WN/AMEfMZvYXN1JW0wGAv93K2vwE\n1i9OJD8jGqtVCz5Oxw2DiGEYIcCPgR3jDv9PXEHjvwzD+Cbw/xiG8RTwfWA1MAgcNgzjD8CDQIdp\nmo8bhnEX8APgU26+D7kJMUHRZISnYbZX0jV4kXD/yTdQBQf68bWHCvjhb47x9OuuJeBDg+bmjo8i\nIhNxOJyUVF/g2Hvl7DtZz+CwAwAjNZL1ixO5ZVE8QQGaUHCXyfxODgD3AX8+7tg3gP7Rr1uAlcAa\n4LBpmp0AhmHsBTYAW4Bfj567HXhm+mXLdBUmLKOqq4YTzafYvGD9Tb03e0EED2/M4A+7z/Hs22V8\n82OLtQS8iMx5dS3dYxvNdXQPAhAfFcT6xYmsL0hUk/4MuWEQMU1zGBg2DGP8sR4AwzBswDeBvwUS\ncYWSS5qBpPHHTdN0GIbhNAzD3zTNwWt9ZlRUMHa77yycFRc3+490bQ1Zz+8r3uBkezGPrrj7pt//\nxYeWUFHfxbHyFo5WtnHv+sxJv9cT9+sOl3pzb7b+uXq/UzVT93tp+Nvbfj+9rZ6ZNt/ut7N7gF3H\nz7PzSC1nzncCEBLkxz3rMthySypGepRP/aDlie/vlMeWRkPI88BO0zR3GIbx2StOudZ37obf0fb2\n3qmWNefExYXR0nLRA59sY2FkBqUtlZTX1hIVGHnTV3jiboO/fuYQP3+1mKTIQFLibtyo5bn7nT6H\nIwSAlpaeSb9nLt/vVMzk/TocTgCv+v3U93dumuiRW6vFwrKFMWxYksSy7Bj87LZ5c7+TNZP3e72A\nM51Jrl8BFaZpPjX663pcox+XpAAHxh0vGm1ctVxvNERmT2H8cio7znG8+SR3pG2+6fdHhwfy5H15\n/OT3p/j3107zP75wC/5+vjOSJSJzx/Ueud2weHS1Ux/aaM6bTCmIjD4dM2ia5l+PO3wQ+IVhGJHA\nMK7+kO8A4cBjwLu4Glffn1bF4jYr4pfwUsWrHGkumlIQAViZG8ftK1J4/3gd//V+JZ+7y7jxm0RE\nZklTey8HTjdx4LQeufVWk3lqphD4RyADGDIM4xNAPNBvGMYHo6eVmKb5DcMwvocrcDiBp0zT7DQM\n40Vgq2EYe3A1vj7h9ruQKQnzDyU3ciFl7RW09rURGxQzpet86o5syms72HmsjoKMaFbkxrm5UhGR\nyevqHeRwaTMHTjdypr4LcD1yuyY/gQ165NbrTKZZ9Shw22QuZprmy8DLVxwbAZ6cSnEy8woTllPW\nXsGxppPclXH7lK7h72fjaw8X8P89d4Rn3irlb5PCiQoLcHOlIiLXNjA0QlFlK/uLGyk+d4ERhxOL\nBQoyo1mbn8DK3Dg9cuul9F3xccvjCvit+XuONJ+YchABWBAXyqfvyOb598r5+eun+bNPr9BPHCIy\noxwOJ2U17ew/3chRs4X+wREA0hPCWFeQwOr8BCJD9UORt1MQ8XHBfsHkRedS3FZKY08ziSHxU77W\nbStSKD53geMVrbx1oJoH1me4r1AREVxNp7XN3a6+j5KP1vuICQ9kS+EC1hYkkhIb4uEq5WYoiAiF\nCcsobivlaHMR92dunfJ1LBYLT96XR9Uzh3hl9zkWpUeRnRLhxkpFxFe1dfZzoKSRA6ebqGt1PUIf\nEmjntuXJrC1IJHtBBFYfWu9jPlEQEZbG5uNntXO0qYj7Mu6c1uI9oUF+/NGD+fzvF47z9Gun+Zsn\nVxMcqD9mInLzevuHOGK2sL+4EbPWtc+L3Wah0IhjXUEiS7Ji8LNrF/C5Tv9CCIH2QApi8jjRcoq6\n7gYWhCVP63pGWhT3r8/gjX1V/PrdMr72UIFPrUwoIlM3NOzg5Jk2DpQ0UlTZyvCIayE7IzWSdYsT\nKTTiCAnU/lbziYKIAK7pmRMtp/jg/F4+l/fYtK/38MYMSqsvcKi0mcWZMWxcmuSGKkVkPnI6nVTW\ndY4uNtZM74BrsbHk2BDWFSSwNj+RmIhAD1cpM0VBRABYFltAckgiBxqOsCllLenhqdO6ns1q5WsP\nFvDXvzrMb7aVk70ggsToYDdVKyLzQWf3AHuLG9l9soGmC66tPSJD/dm0LJV1BYmkxodqNNUHKIgI\nADarjcdyH+Zfjv+MF8tf4c8Kv4nVMr2519jIIL54j8G/v3qaf3+1mL/6/C1uqlZE5qrhEQenzrSx\n+2QDJ8+04XA6sdusrM1PYMPSJPLSovTov49REJExuVELKYxfxtHmIg40HGV98qppX3N1XgLF5y6w\n52QDv9t1hj/59Eo3VCoic01DWw97Tjawt7iRrh7XI7fpCWFsWuba50V9H75LQUQu87Hs+znVWsKr\nZ95iedxigv2Cpn3Nx+/MpfJ8J+8drmX98hTSYjRFI+IL+geHOVzWzO6TDVSe7wRcj9xuKVzApqVJ\npCXM/pbz4n0UROQyUYGR3JOxhdfOvsOb597jsdyHp33NAH8bX3uogP/56yP8y2+P8zdPriIsWLtc\nisxHl3a53V1Uz6GyZgYGR7AABRlRbFqWzIqcWPzs2qVbPqIgIle5I20z+xsO82HdftYnryYldPpP\nvKQnhvHxzVm89MEZnn27jG99fIma0ETmkc6eQfYXN7L7ZD0Nba7G05jwQO5ZncaGJYnERkx/dFXm\nJwURuYqf1c4nch7ipyd/xUvlr/LtFV9zS2i4e3UapbUdHK9oZc/JBjYtm956JSLiWSMOB6fOXmB3\nUT0nz7Qx4nBit1lYnRfPpmXJ5KVHabVTuSEFEZnQ4tg8FsfkUdxWyrHmIgoTlk/7mlarhe9+ZiXf\n+of3eWFHBUZaJPFR6hcRmWuaLvSy+2QDe4sb6Bzd6yU1PpRNS5NYW5BIaJAaT2XyFETkmj6R8xBl\nF8r5feWbFMTkEWif/i6W8VHBfO6uXH7+egk/f6OE7z2+EptVSzSLeLuBwRF2HK7hrb3nKB9dbj04\nwM4dK1PYtDSZ9EQ1nsrUKIjINcUFx3Bn2q28U72Td6t38vDCe91y3bX5CRRVtnKotJm39lfz4IZM\nt1xXRNyv6UIvO4/VsedUA32jK57mpUexaWkSK3Pj8PdT46lMj4KIXNddGXdwsPEYO2o+ZF3SLcQH\nx037mhaLhc/fbVBxvpNX91RRkBlDVnK4G6oVEXdwOJycPNvGzmPnKT57AYCIEH8e2pTLyuwY4iLV\neCruozFxua4Amz8fz3mAEecIL1e87rbrhgT68ZX783A4nfz89dMMDI647doiMjXdfUO8c7CG7/1s\nP//68kmKz14gZ0EEX3+4gH/4xno+d2+eQoi4nUZE5IZWxC0hNyqb021lnGotYUlsvluum5cRzV2r\nUnnvcC0vvl/JF+423HJdEbk51Y0X2XHsPAdLmhgaduBvt7J5WTJ3rEzRomMy4xRE5IYsFguP5TzE\nDw7/My+Xv8aiqBz8bO7pin/01ixKqi7wwfE6li6MYXl2rFuuKyLXNzzi4IjZzM6jdVTWuVY9jYsM\n5I6VC9i4NElLrsusURCRSUkOTeS2BRvYWbubHbUfck/GFrdc189u448eLOBvnzvMs2+V8rdfXkN4\niFZdFZkp7RcH+OB4HbuK6unqGcQCLF0Ywx0rF7A4K1rrfsisUxCRSbsv804ONx3nnaqdrE5cSXRg\nlFuuuyA+lEdvXciLOyt59u0y/uRRrboq4k5Op5Py2g52HKvjmNmCw+kkOMDOXatSuX1lCglaz0c8\nSEFEJi3IHsTDC+/jP0r/i99XvslXFn/ObdfeuiqVk2faOFHZyodF9dy6PMVt1xbxVf2Dwxw43cSO\nY+epa+kBXAuPbSlcwJr8BAL06K14AQURuSlrEleyt+4Ax5tPUnahgkXROW65rtVi4cv35/H9Xx7i\nP3dUsCgtioRo/ZQmMhVXrv1hs7qWXb9j5QJyFkRoxFG8ih7flZtitVj5ZO4jWLDwUsVrjDjc99ht\ndHggX7jHYHDIwdOvlzA84nDbtUXmO4fDyYnKVv7pxRP8xdMH2HakFn+7lYc3ZvIP31jP1x9eTG5q\npEKIeB2NiMhNSwtfwPrk1eytP8iu83u5I22z2669Oi+BE5WtHDjdxBv7qnhkU5bbri0y3zidTqoa\nL3K4tJnDZU20dQ0AkLMggi2FC1iZG4fdpp83xbspiMiUPJR1D8ebT/Lmue0UJqwgIsB9aw18bmsu\nFbUdvLGvmiVZMSxMiXDbtUXmOqfTSW1zN4dGw0dLRz8AQQE2rf0hc5KCiExJqH8ID2bdzYvlr/Dq\nmbf4Qv6n3Hbt4EA/vvJAPv/7heP8/PUS/uZLqwj01x9V8W11La7wcaismaYLvQAE+NtYm5/Aqrx4\nFmfG4GfX6IfMPfrbXaZsY8pa9tQf5GDjUTamrCUrIt1t1zbSorhnTRpvH6zhtzsqeOLePLddW2Su\naGjrGZ12aaau1fXUi7/dyi2L4lm9KJ6lC2O06ZzMeQoiMmWXGld/dOynvFT+Cv/tlj/BanHfT2SP\nbMri9LkLfFjUwLKFsazInf6GeyLerrmjj8OlTRwqbaa2uRsAu83Kytw4Vi2KZ1l2jEYIZV7Rn2aZ\nluzITFYlrOBw03H21R9iY8pat13bz27lqw/m89SzR/jV22VkJYcTERrgtuuLeIu2zn4OlzVzqLSJ\nqsaLANisFpYtjGF1XgLLc2IJCtBf1zI/6U+2TNsj2fdxsvU0r519hxXxSwnxc9/6HylxoTx2+0L+\nc3sFz7xVxnceW6rHD2VeaL84wOGyZg6XNnGmvgtwraezODOaVXnxrMyN034v4hMURGTaIgMiuDfj\nTl458xZvnH2XTxkfc+v1txQu4GRlK6fOtvHB8TpuX7nArdcXmS2dPYMcGQ0fFec7cQIWC+SlR7F6\nNHyEBWuvJfEtCiLiFrenbmR/w2F21x1gffIaUsOS3XZtq8XCl+7P5/u/PMiLOytZlB5FUkyI264v\nMpO6+4Y4YjZzuLSZspp2nE6wADmpkazOi6fQiCdCGz2KD1MQEbewW+08lvMwPyn6BS+Vv8J3V/6x\nW6dQosIC+OI9i/g/rxTz9Osl/NXnC7VQk3it3v5hjle0cLC0idKqdkYcTgAWpoSzelECtyyKJypM\n/U4ioCAibpQXk8uyuMUUtRRzuOk4qxNXuvX6tyyKZ8PiRPYWN/La3nN8fPNCt15fZDr6B4c5UdnK\n4dJmTp1tY3jEFT7SE8NYk5fAqkXxxEQEerhKEe+jICJu9Wj2A5S0lfFK5Zssjc0n0O7ev3g/uzUX\ns7aDN/e7Vl3NWRDp1uuL3IyBoRGOms0cKm2mqLKVwWHX/kgL4kJYlZfA6rx4EqK0eaPI9SiIiFvF\nBEWzNf123jq3jberdvCx7Pvdev2gADtfeSCf//XCMX7+eglPfWm1HmuUWTU84uD0uQscKm3iRGUb\nfQPDACREB7MmL55VeQmkxKqHSWSy9De4uN3WtNs42HCEnbW7WZe0isSQeLdePzc1kvvWpvPm/mpe\n2F7Ol+/Pd+v1Ra404nBQVt3BodImjpW30NPvCh/x0cHctiKZNXkJpMaH6tFykSlQEBG387f58WjO\ngzx96te8VP4q31r+Fbf/Bf3wxkyKz15g76lGli2M5ZZF7g07Ig6nk4raDg6VNnPEbOZi7xAAkaH+\n3LUqlVV58axZmkJra7eHKxWZ2xREZEYsjS0gLzqX0gvlFLWeZnncYrde326z8kcP5fPUrw7z3Dtl\nLEyJ0FMIMm1Op5Oz9V1jO9t2dA8CEBbsx+0rU1i9KJ6c1Eiso8FaIyAi06cgIjPCYrHwWM5D/N2h\nH/H7itfJjzbwt7l3lcikmBAeuz2b32wr55m3SvnuJ5eN/QMhMlm9/cNUnO+gtLqdY+UttHb2AxAS\naGfT0iRW5yewKC0Sm1WPi4vMBAURmTEJIfHcnrqR7TW72FbzAfdnbnX7Z9yxMoWiM60Un73AzqPn\nufOWVLd/hswvvf3DlJ/vwKxpx6zpoLrpIk7Xk7YE+ttYV5DI6rx4CjKjtVaNyCxQEJEZdW/GFg43\nHmNb9fusTSwkjjC3Xt9isfCl+/L4/i8P8dIHZ0hLCCM3VY/0ykd6+4cor+3ErG2nrKaDmnHBw2a1\nkJ0SgZEWxaK0SLJTIvD3s3m2YBEfoyAiMyrQHsgj2ffzXMlv+V3lG/xV2jfd/hmRoQE8ce8ifvL7\nU/zwN8fIS4/ivnXp5KdHaQ7fB10KHmWjIx41TRcZzR3YrBZyxgWPrJQIAhQ8RDxKQURm3KqEFeyp\nO0BRSzFFjSUk29w/fbIyN47//pkVvLG/ipKqdkqr28lIDOO+temszI3DalUgma96+ocor+3ArOmg\nrKad2qbuseBht1nISY1kUVokRqqCh4g3UhCRGWexWPhk7iP88PC/8Ozxl/jzld/GZnX/PwaL0qNY\nlB7FuYYu3jpQzTGzhf/zSjGJ0cHcuyaNdYsTNec/D3T3DVFR20FZjavPo7b5GsEjLYqFyeGaahHx\ncgoiMisWhCWzIXk1e+oP8mHdfm5P3Thjn5WZFM43P7aEhrYe3j5Yw/7iRn71dhmv7DnH3atS2bw8\nmUB//dGfK0YcDipqO+npG2Jo2MG3/2X3uOBhJTc1EiMtkkVpUWQpeIjMOfrbWGbNA1l3c6zlJG+e\n28aqhBWE+s/sMthJMSF86b48HtmYyXuHa9l1op7f7qzk9X1VbClcwJ23pBIa5N5HisU9+gaGOX3u\nAscrWjl5ppWe/mH6QocBC8boaMeitEiyksPxsyt4iMxlCiIya8L8Q/lEwf38+sTLvHnuPT5lfGxW\nPjc6PJBPb8nhgfUZ7Dh6nu1HanltbxXvHKrh1mUp3L06lehw7Yrqae0XByiqbOV4RSul1RfGdq+N\nCgtgdV4Ch+v88bNb+e+fde+uziLiWZMKIoZhLAZeBX5kmuZPDMNIBZ4HbEAD8HnTNAcMw3gc+A7g\nAJ42TfOXhmH4Ac8C6cAI8KRpmmfdfysyF9yTfSvvlH/A7roDbExZS0po0qx9dmiQHw9vzOSe1Wns\nKqrn3UM1bDtSy85j51lXkMi9a9NIitFmZbPF6XRS19rD8YpWTlS0cq6ha+y1BXGhrMiJZXlOLBmJ\nYVgsFv75eY18iMxHNwwihmGEAD8Gdow7/LfAv5mm+ZJhGH8PfMkwjF8D3wdWA4PAYcMw/gA8CHSY\npvm4YRh3AT8APuXm+5A5wm6z82j2g/z05K/4XcXr/Mnyr876I7YB/jbuWpXKHStT2H+6kbcP1LDn\nVAN7TzWwMjeO+9alk5kUPqs1+YoRh4PK850cr2jleEULLR2uVUytFguL0iJZkRPH8pxY4iKDPFyp\niMyWyYyIDAD3AX8+7thtwNdHv34d+DPABA6bptkJYBjGXmADsAX49ei524Fnpl21zGmLY/PIjzYo\nuWBysrWEZXEFHqnDbrOyaWkyG5Ykcby8hTf3V3O0vIWj5S1ai8SN+geHKT57gROVrRRVto7tXBvg\nb+OWRfGsyIllSVaM+nVEfNQNg4hpmsPAsGEY4w+HmKY5MPp1M5AEJAIt48656rhpmg7DMJyGYfib\npjl4rc+MigrG7kMNaHFx7l1t1NvFxYXxlTWf4r+98z959dxb3GoU4ufmfWhu1j3x4dy9IYuTFa28\ntLOcoopWSqvbyU6N5BN35LBucdLYWiQ3+/3yxe/vha5+Dp1u5ODpRooqWhgadgAQExHI5pULWFOQ\nyNLs2JtqNJ3q7/9M87Z6Zprud37zxP26o1n1Wj8u3uzxMe3tvVOvZo6JiwujpeWip8uYNZfuN4BQ\nNqes5/3ze3jp+DtsTb/N06UBkBwVyLcfXXrZWiQ/fO4widHB9PbfRoCfjZaWnklfz1e+v06nk/rW\nHsrrL7LnRN0V/R4hLM+JY8W4fg+Ajpv879zhcDWvetPvp698fy/R/c5vM3m/1ws4Uw0i3YZhBJmm\n2QekAPWj/0scd04KcGDc8aLRxlXL9UZDxHfcl3knh5qO8U7VDlYnFhIR4D0/eUy0Fkl33xC9/UO8\nsvsst69IISI0wNNletT4fo8TFa00d/QB6vcQkZsz1SCyHXgU+I/R/38HOAj8wjCMSGAYV3/Id4Bw\n4DHgXVyNq+9Ps2aZJ4L9gnkg825eLP8Dr599h8/lPebpkq4yfi2S3c/a6B8a4bW9Vby5v5pVefFs\nvSXVpxpbx/d7nDzTRnffEPBRv8fmlQvIiAtRv4eITNpknpopBP4RyACGDMP4BPA48KxhGF8DqoHn\nTNMcMgzje7gChxN4yjTNTsMwXgS2GoaxB1fj6xMzcicyJ21IXs3uuv0caDjC5pR1pIUv8HRJE4oO\nDyQkyI/gQDuf/7/t3Xl8XHW9//HXmSWZyZ4m6ZZ0oy1foBW6pBcq0gVaVkEE9F4BlUVxA4rcH4r3\n/h76w58/LxevyqJyhQsooCK0gGWRpaBlk6VgoaX4bUsXuu9Ns04ymfn9cU7S6ZC0JSQ5M5P38/Fo\nZ873nDPzOTkzmXe+5zvnnGZYtGQDr767jVff3cbY4SWcUltDrRmck6eQ39sQY+mqnSxdvZMV6/YQ\nb+SMOZYAABpOSURBVHfHe5QX5zN7cjWTxldy1MhywqHAgOvKFpGP73AGq76J+y2ZdHO7WHY+MD+t\nrR24tIf1SY4LBoJcMP4cbl16Bw+tWsi1U76R0d9ScRyH2ZOrmTVpOCvW72HRGxt45/1dvL9wBX8s\nWs3sydXMnFRNaWGe36X22KHO7zFpfOWHxnuIiPSUzqwqvjODxnFc1UTe3rGct7a/zdQhk/wu6ZAc\nx2HC6EFMGD2IbXuaeP7NTby0bDOPvriWx19Zxz8dPYQ5tTVZM+K+43ouf1+1k6WrDzy/x9Gjypk0\nrlLjPUSkTyiISEY4b9xZvLvzPR5Z/SSfqDyGvGD29CgMKS/gC3PGc+5JY/jbu1tZtGQjryzfyivL\nt3L06DXMPG4YU46syrjDNl1dzwUgkhdk2lGDmTS+kmPHVlAY0XgPEek7CiKSESqjFZw8cgbPrP8L\niz5YzJljPnTkL+NF80OcPKWGWZOrWbFuN4uWbOSd93fx3rrdlBXlMXtKDTMnDaekwL+QdajruUwe\nX4nxxnuIiPQHBRHJGKeNms2rW5bwzPq/Mn3YNMojZX6X1CMBx2HimAomjqmgDYeHnrW8tGwLj7yw\nhsdeXsfxxwxmztQRjBraN4dtmlra2FnXwq66Fvd2n3u7fU8TG1POgdJxPZfJR1YyaojGe4iIPxRE\nJGNEQhHOGXsG97/3II++/ySXTrjQ75I+tuFVRVw490g+O+MIXl62hefe3MjLy7by8rKtjK8pZU7t\nCKYcWUkwcHg9EMlkkobmNjdc7N0fNPaHjmaaY+1drhsOBdzxHuMrmTyukkqN9xCRDKAgIhnl+KFT\neGHjKyzZtpSZNZ/kiNLRfpfUK6L5IebUjuDkqTUsX7ObRW9uYPma3azaWEd5cT4nT6lmxnHDKYqG\n2dfYyk4vXKT3auyqayHW1nXQyM8LUlkSoaImQkVphMrSCBUlESpLo1SURigpCKvXQ0QyjoKIZJSA\nE+BzR57DT9/8FQ+tXMh1tVcScHJnvELAcTh2bAXHjq1gy65G99s2y7ewYPEa/vTSWhzH6bwuS7qC\n/BCDy6MpAaMjcLhBozASUtAQkayjICIZ54jS0dQOmcSSbUt5betbTB9W63dJfWJYRSEXnbr/sM3L\ny7fgOE7XQaMkQkFEb1cRyT36zSYZ6dyxZ/L2jndZ+P6fmVw1kUgo4ndJfaYgEmLutBHMnTbC71JE\nRPpd7vR5S04pj5Qxd9Qs9rXW8/R6XZ5IRCRXKYhIxpo7cibl+WU8/8EL7Gze5Xc5IiLSBxREJGPl\nBfM4d9yZxJPtPLz6Cb/LERGRPqAgIhlt6uDjOKJ0NG/vWM7KPav9LkdERHqZgohkNMdx+Nz4c3Bw\nmL/qMdoTXZ9DQ0REspOCiGS8kSU1HD9sKpsatvDKltf9LkdERHqRgohkhXOOOIP8YB6PrXmaprYm\nv8sREZFeoiAiWaE0v5jTR59CY1sTT65b5Hc5IiLSSxREJGvMHnESldEKFm98ha2N2/0uR0REeoGC\niGSNcCDEeePOIpFMsGD1Y36XIyIivUBBRLLKsZUTMOXjWLHLsnzne36XIyIiH5OCiGQVx3E4f/zZ\nODg8vPpxfZ1XRCTLKYhI1qkuGsZJ1SewrWkHize94nc5IiLyMSiISFY6a8ypRENRnlz7LPWtDX6X\nIyIiPaQgIlmpKK+Qs8bMpTnewuNrn/G7HBER6SEFEclaM6qnM7RgMC9veo1NDVv8LkdERHpAQUSy\nVjAQ5PzxZ5MkyfyVC0kmk36XJCIiH5GCiGS1YyoMEyuOYuXe93l7x3K/yxERkY9IQUSy3nnjzybg\nBHh49RO0tbf5XY6IiHwECiKS9YYUVDGr5kR2tezmD/ZhhRERkSyiICI54cwxcxhRNJzXtr7Jz966\nnV3Ne/wuSUREDoOCiOSEaCjKtVO/xQlDa/mgfiP/ueQW3tu90u+yRETkEBREJGfkBcNcfPTn+Bdz\nHrF4jF8uvYun1j1PIpnwuzQREemGgojkFMdxOKn6BL499RuU5Zfy2JqnuGPZvTS1NftdmoiIdEFB\nRHLS6JKRfHfa1ZjycSzbuYKbltyqk56JiGQgBRHJWcV5RVw56SucOmo2O5p38ZMlv+D1rW/5XZaI\niKRQEJGcFnACfGbsGVzxiS8RdIL8dsUDPLjyUeKJuN+liYgICiIyQBxXNZHvTLuKYYVDWLzxFW5+\n69fsjdX5XZaIyICnICIDxpCCKq6rvYraIZNYu289N75+C6v2vO93WSIiA5qCiAwo+cE8LjnmC1ww\n/hwa403cuvROFn2wWBfMExHxiYKIDDiO4zB7xKeYN/lrFIULeWT1E9y1/H5a4i1+lyYiMuAoiMiA\nNa5sDNdPm8fY0jH8fccyblryC7Y2bvO7LBGRAUVBRAa00vwS5k2+gpNHnMS2pu3ctOQ23tr+jt9l\niYgMGAoiMuAFA0HOH382l024kCRw1/L7eXj147Qn2v0uTUQk5ymIiHimDpnEdVOvZHBBJc998AK3\nLb2Tfa31fpclIpLTFEREUgwvGsp3aq/muKqJrNq7hhtfv4U1dev9LktEJGcpiIikiYYifHXiFzl3\n7Jnsa63n5rf+m8UbX/G7LBGRnKQgItIFx3GYO2oWV036KtFQhAdXPkpDa6PONyIi0ssUREQOwgwa\nx/XT5jG6ZCSx9lbqWuvZ3LDV77JERHKGgojIIZRHyrhmyteJhPJpT7Rz05LbeGXz6+odERHpBQoi\nIochHAhRGC6gOK+QUCDE7/4xn9+s+APNOhuriMjHEurJSsaYIuBeoBzIB24AVgD3AUFgC/BFa23M\nGHMRcA2QAO6w1t7VG4WL+CEvmMf3pl3DPe/+jiXblrJ+3wYum3gRI4tr/C5NRCQr9bRH5BLAWmtn\nAxcAtwA/BH5prT0JWA1cZowpBL4PzAFmAd82xgz6uEWL+KkiWs63p3yDuSNnsaN5Fz9d8kv+suEl\nHaoREemBngaRnUCFd7/cm54FLPTaHsMNH8cDb1hr66y1zcDLwIk9rlYkQwQDQc4ddybfPO5yIqEI\n81ct5M5l99LY1uR3aSIiWaVHh2astQ8YYy4xxqzGDSJnAQuttTFvke3AMGAosCNl1Y72gyovLyAU\nCvaktKxUVVXsdwn9Klu3N+DF9tT6Z1XVcuyocdz26j28vf1dNr25hXnTL8NUju1cJlu3t6f6ansD\nAadPH7+nMq2evqbtzW1+bG9Px4hcDHxgrT3dGHMckD7uw+lm1e7aD7Bnz8D5q7KqqpgdOwbOacSz\neXsTiUIAduxoTJsT5OsTLuOpwud4cu0ifvD8zzh7zGnMGTWTIYNLs3Z7e6Iv928i4R76yqSfZza/\nnntC25vb+nJ7DxZwenpo5kTgaQBr7dvAcKDRGBP15lcDm71/Q1PW62gXySkBJ8CZY+Yyb/IVFIeL\n+NOaP/Ort++mrmWf36WJiGS0ngaR1bjjPzDGjAIagGeB87355wNPAa8B04wxZd43bU4EXvxYFYtk\nsPHlY/neP13DMRWG93av5Lqn/x9292q/yxIRyVg9DSK/BkYbYxYDvwe+DvwA+LIx5kVgEPBbb4Dq\n9bi9J4uAG6y1dR+/bJHMVZxXxDeOvZTPjjuL+lgDty29k8fXPE17ot3v0kREMk5PB6s2AJ/vYtbc\nLpadD8zvyfOIZKuAE2DOyJnUjp7Az166kz+ve45Ve9dw6YQLKcsv9bs8ERnAWuIx6lsbqG9roL61\nnn2t7u2E1nGMyhvT7/X0KIiIyOEZXzGG66ddw+/+MZ+lO5bx49d/zpeO/mcmVh7td2kikiOSySRN\n8WbqW+upb23wgoUbLurb0qZbG2hNtHX5OEt3LePfaq/t5+oVRET6XEE4ylcmXsyLm/7GgtWPc/s7\n93DKiBmcM/Z0QgG9BUVkv2QySaw9RnO8haZ4M01tzTTHm2mKN9PQ1ugFitSg4ba1Jw9+6DfoBCnO\nK2JI4WCK84ooCRdTnFd0wL9Jow2xff1/Ykb9FhTpB47jMKPmk4wpHc3d797PcxteYHXdWi6bcBGV\nUZ1sWCSXxBNxmuLNNLe5AaIp3uKGiZRQ0dzR3rmM29YcbyGRTBzW8+QF8ygJFzGyuJrivAODRUle\nMcXhjvtFRENRHOfgZ9AoyS9iB/3/dWUFEZF+NKJ4ON+tnccD9hHe2PYWN75xMxcedQFTBh/rd2ki\nghsimuMtNMdbqN+9my17dndON8dbaEm9357e5oaLtm4OfXQnHAhTEIpSnFfMkILBFIQiREMFFIQj\nRENRCkJRoqEoheECSjrDRjH5wbw++in0LwURkX4WCeXz5WP+GTNoHA/aR7hr+f2srJ7O+eM+TTgY\n9rs8kayTSCaItbcSa48Ri8doaY91Od0Sb6H5Q+HhwEDRloh/5OcPOkGioQiRUIRh+aVucAhHKQhF\nKAgVEA15gSIc7QwWBaEIBeECIqEI4QF+iHZgb72ITxzHYfqwWsaUjOCu5b/jxU1/Y03dOk4bNZua\n4mqqohUEnJ5+u14k8yWTSVoTbTS2NdLY1kRjW5MXCmKdASLW3nrI6Vh7rNvBl4cjFAgRDUaIhiKU\n55d5ocENFYOKS6A10Dkd8eZFQxGiwQiRUJSoFyQOddhDuqcgIuKjoYVDuK72KhasWshLm1/j7nd/\nD7jHfqsLh1FTPJyaIvd2eOFQ8nKkK1ZySyKZoCXeQoMXKPaHC/e2Id5EY6vXFt+/TE96Hxwc8oP5\n5AfzKAhHKY+UetP5REJue8d0fjDPa/PmB/M7Q0XH7cF6IwbaKd79oiAi4rO8YJgvHHU+JwyrZU3d\nejY2bGZj/WbW129g7b71ncs5OAwpqKKmeDjVRcOoKRpOTfFwSvIG1kW5pH+0J9rZG9vH3lgde2N7\n2ROro31zK9vr9nT2YHQEiqZ482EPsIwEIxSGCxhWOJSicCGF4YLOf9FQlEgwn/xQSpBICxnhQFi9\nDzlGQUQkQ4wpHcWY0lGd023tbWxp2sbG+i2d4WRTwxa2Nm1nybalncuV5BV3hpIaL6BUFVTq0I50\nqyNk7IntZW+sjj0te73AUceeFjd47GttIEn3X+V0cLwAUcjggqoDAsX+gFFIYchry3PvBwMD58rq\ncngUREQyVDgYZmRxDSOLazrbkskku1r2dAaTjtsVuy0rdtvO5fICYaqLhlFdPNwNKUXDGF40LGdG\n2Uv34ok4dbF97InVsbfF7cnY44WMvS117Intpf4gISPkBCnLL2Vs2WjK88soyy+lLFJKeX4ZIwcP\npq3RocgbZKmwK71BQUQkiziOQ2V0EJXRQUyqmtjZ3tjWxKbOcOL2oKyv38jafR/sXxeHUOdfow6O\n+4DeVEeLN+2kLNNxz0lt2d/Wcd8BAsEAifbkAV3nqet0bEPHcx74v/vETvp63s3eWB0ODre89Wui\n4ej+QYPetxAioYj3tcdoSnvEtw/MZDJJPNlOPNFGWyJOW3uceKKNeLKdtkQb8UTHbTzlvrt8PBGn\nLRHff5vcP536ry3ttuOEV92GjECIsvxSxpWNoSy/jPJIKWX5pZSnhI2icGG3hz6qKovZkdSYCeld\nCiIiOaAwXMCR5eM4snxcZ1tbIs7Wxu1sbNjMJu+wTizRCkm8Dyr3wyoJkNz/0dVxL5nc/2GWTP1o\n61w2uX957zGDwQBxEmnLpS7bMSuZsnbKUolk18uTJJlMkiDByr3vf9QfjzdIMTW8dASWA9scHDc0\npISB9Pudbe1xCCZpjrV4bfH9ocMLBgc7tNFb3IAZIhQIURQuYEhKyCjP94JGxO3ZOFjIEPGLgohI\njgoHQowoHs6I4uEwrH+esy+/ZfDs2gcBuHXWf7jngmhr6TwTZceJpFpSzmLZnHKSqY7bPbE6tjRu\n67WAEAwECTtuCAgHwuQH8ynKK/Km3baO+6EupkNOiHDQu+1o61z2w/cPWMZbJ+AEFC4kqymIiEhW\nCQaCFAUKKQoX9mj9jpNfdRVWwD3LZWpwOOB+8MC2IYNL9fVOkY9JQUREBpSAE+g8FCMi/tOQZxER\nEfGNgoiIiIj4RkFEREREfKMgIiIiIr5REBERERHfKIiIiIiIbxRERERExDcKIiIiIuIbBRERERHx\njYKIiIiI+EZBRERERHyjICIiIiK+URARERER3yiIiIiIiG8URERERMQ3TjKZ9LsGERERGaDUIyIi\nIiK+URARERER3yiIiIiIiG8URERERMQ3CiIiIiLiGwURERER8Y2CiIiIiPgm5HcBA4Ux5ibgJNyf\n+X9Yax9OmbcO2AC0e00XWWs39XeNvcUYMwt4CHjXa1pmrb0qZf4c4Me42/uktfb/9nuRvcgYcznw\nxZSmWmttUcr8deTI/jXGTAT+BPzcWvsLY8wI4D4gCGwBvmitjaWt83PgBCAJzLPWvtHPZfdYN9t7\nDxAG2oCLrbVbU5afxUFe+5mui+39DTAV2OUt8hNr7RNp6+TS/n0IqPJmDwJetdZekbL8LLJ7/x7w\nOQS8QQa8fxVE+oExZjYw0Vo73RhTAfwdeDhtsTOstQ39X12fWWytvaCbebcCpwGbgMXGmAXW2hX9\nV1rvstbeBdwFYIyZCXy+i8Wyfv8aYwqB24DnUpp/CPzSWvuQMebHwGXA7SnrzATGe6/9o4G7gen9\nWHaPdbO9PwLusNY+aIz5FnAt8J20VQ/22s9Y3WwvwPestY93s05O7V9r7edS5t8N/E8Xq2br/u3q\nc+g5MuD9q0Mz/eMFoOMFvhcoNMYEfazHN8aYI4Dd1toN1toE8CRwis9l9abvA1ndw3MQMeBMYHNK\n2yxgoXf/MWBO2jqnAI8CWGvfA8qNMSV9W2av6Wp7vwks8O7vACr6u6g+1NX2Hkqu7V8AjDEGKLPW\nvt7vVfWdD30OkSHvX/WI9ANrbTvQ6E1ejns4oj1tsf82xowGXsL9CyTbz71/jDFmIW735g3W2me9\n9qG4v8A7bAfG9ndxfcEYMw3YkNpVnyLr96+1Ng7E3d/RnQpTunK3A8PSVhsKvJkyvcNr29dXdfaW\nrrbXWtsI4P0h8S3cHqF03b32M1o3+xfgSmPMtbj790pr7c6UeTm1f1PMw+0t6Uq27t8PfQ4Bp2XC\n+1c9Iv3IGPMZ3BfAlWmzvo/bxTsLmAic37+V9bpVwA3AZ4AvA3cZY/K6Wdbpt6r63leA33TRnmv7\ntzuHsy+zfn97IeQ+4HlrbfphjI/y2s8G9wHXW2tPBpYC/+cQy+fC/s0DPmWt/UsXs7N+/x7kc8i3\n9696RPqJMeY04N+B0621danzrLX3piz3JPAJYH7/Vth7vIG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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n_components = np.arange(1, 21)\n", "models = [mix.GaussianMixture(n, covariance_type='full',\n", " random_state=random_state).fit(X_mn)\n", " for n in n_components]\n", "\n", "fig, ax = plt.subplots(figsize=(9,7))\n", "ax.plot(n_components, [m.bic(X_mn) for m in models], label='BIC')\n", "ax.plot(n_components, [m.aic(X_mn) for m in models], label='AIC')\n", "ax.axvline(np.argmin([m.bic(X_mn) for m in models]), color='blue')\n", "ax.axvline(np.argmin([m.aic(X_mn) for m in models]), color='green')\n", "\n", "plt.legend(loc='best')\n", "plt.xlabel('n_components')" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "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": "3.6.0" }, "widgets": { "state": { "d770be2293824ed7a3e445ce17c81805": { "views": [ { "cell_index": 20 } ] } }, "version": "1.2.0" } }, "nbformat": 4, "nbformat_minor": 2 }