{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# CS109B Data Science 2: Advanced Topics in Data Science \n", "\n", "## Lab 4 - Bayesian Analysis - EXTENDED\n", "\n", "**Harvard University**
\n", "**Spring 2020**
\n", "**Instructors:** Mark Glickman, Pavlos Protopapas, and Chris Tanner
\n", "**Lab Instructors:** Chris Tanner and Eleni Angelaki Kaxiras
\n", "**Content:** Eleni Angelaki Kaxiras\n", "\n", "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "## Additions in this EXTENDED version\n", "\n", "- Cleaner code in [Bayesian Linear Regression](#blr). <---- Edited material\n", "- Cleaner code in [defining the Model](#model) <--- Edited Material\n", "- [Hierarchical Models](#no4). <----- New material\n", "- Some info on Bayesian [Logistic Regression with PyMC3](#LR) <-- New material" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "## RUN THIS CELL TO PROPERLY HIGHLIGHT THE EXERCISES\n", "import requests\n", "from IPython.core.display import HTML\n", "styles = requests.get(\"https://raw.githubusercontent.com/Harvard-IACS/2019-CS109B/master/content/styles/cs109.css\").text\n", "HTML(styles)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import pymc3 as pm\n", "from pymc3 import summary\n", "#import arviz as az\n", "from matplotlib import gridspec" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import scipy.stats as stats\n", "import pandas as pd\n", "import seaborn as sns\n", "%matplotlib inline \n", "\n", "import warnings\n", "warnings.filterwarnings('ignore')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running on PyMC3 v3.8\n" ] } ], "source": [ "print('Running on PyMC3 v{}'.format(pm.__version__))" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "application/javascript": [ "IPython.OutputArea.auto_scroll_threshold = 20000;\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%javascript\n", "IPython.OutputArea.auto_scroll_threshold = 20000;" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "#pandas trick\n", "pd.options.display.max_columns = 50 # None -> No Restrictions\n", "pd.options.display.max_rows = 200 # None -> Be careful with this \n", "pd.options.display.max_colwidth = 100\n", "pd.options.display.precision = 3" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Learning Objectives\n", "\n", "By the end of this lab, you should be able to:\n", "* Apply Bayes Rule in calculating probabilities.\n", "* Practice how to apply Bayesian analysis using PyMC3\n", "* Avoid getting fired when talking to your Bayesian employer.\n", "\n", "**This lab corresponds to Lectures 6, 7, and 8, and maps to Homework 3.**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Table of Contents\n", "1. The Bayesian Way of Thinking or Is this a Fair Coin?\n", "2. [Intro to `pyMC3`](#pymc3). \n", "3. [Bayesian Linear Regression](#blr)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. The Bayesian way of Thinking\n", "\n", "```\n", "Here is my state of knowledge about the situation. Here is some data, I am now going to revise my state of knowledge.\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
Table Exercise: Discuss the statement above with your table mates and make sure everyone understands what it means and what constitutes Bayesian way of thinking. Finally, count the Bayesians among you.
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### A. Bayes Rule\n", "\n", "\\begin{equation}\n", "\\label{eq:bayes} \n", "P(A|\\textbf{B}) = \\frac{P(\\textbf{B} |A) P(A) }{P(\\textbf{B})} \n", "\\end{equation}\n", "\n", "$P(A|\\textbf{B})$ is the **posterior** distribution, prob(hypothesis | data) \n", "\n", "$P(\\textbf{B} |A)$ is the **likelihood** function, how probable is my data **B** for different values of the parameters\n", "\n", "$P(A)$ is the marginal probability to observe the data, called the **prior**, this captures our belief about the data before observing it.\n", "\n", "$P(\\textbf{B})$ is the marginal distribution (sometimes called marginal likelihood)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
Table Exercise: Solve the Monty Hall Paradox using Bayes Rule.
\n", " \n", "The problem we are about to solve gained fame as part of a game show \"Let's Make A Deal\" hosted by Monty Hall, hence its name. It was first raised by Steve Selvin in American Statistician in 1975.\n", " \n", "The game is as follows: there are 3 doors behind **one** of which are the keys to a new car. There is a goat behind each of the other two doors. Let's assume your goal is to get the car and not a goat.\n", "\n", "You are asked to pick one door, and let's say you pick **Door1**. The host knows where the keys are. Of the two remaining closed doors, he will always open the door that has a goat behind it. He'll say \"I will do you a favor and open **Door2**\". So he opens Door2 inside which there is, of course, a goat. He now asks you, do you want to open the initial Door you chose or change to **Door3**? Generally, in this game, when you are presented with this choice should you swap the doors?\n", "**Initial Steps:**\n", "- Start by defining the `events` of this probabilities game. One definition is:\n", " \n", " - $A_i$: car is behind door $i$ \n", " \n", " - $B_i$ host opens door $i$\n", " \n", "$i\\in[1,2,3]$\n", " \n", "- In more math terms, the question is: is the probability of **the price is behind Door 1** higher than the probability of **the price is behind Door2**, given that an event **has occured**?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### B. Bayes Rule Revisited\n", "\n", "We have data that we believe come from an underlying distribution of unknown parameters. If we find those parameters, we know everything about the process that generated this data and we can make inferences (create new data)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\\begin{equation}\n", "\\label{eq:bayes} \n", "P(\\theta|\\textbf{D}) = \\frac{P(\\textbf{D} |\\theta) P(\\theta) }{P(\\textbf{D})} \n", "\\end{equation}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### But what is $\\theta \\;$?\n", "\n", "$\\theta$ is an unknown yet fixed set of parameters. In Bayesian inference we express our belief about what $\\theta$ might be and instead of trying to guess $\\theta$ exactly, we look for its **probability distribution**. What that means is that we are looking for the **parameters** of that distribution. For example, for a Poisson distribution our $\\theta$ is only $\\lambda$. In a normal distribution, our $\\theta$ is often just $\\mu$ and $\\sigma$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### C. A review of Common Probability Distributions\n", "\n", "#### Discrete Distributions\n", "\n", "The random variable has a **probability mass function (pmf)** which measures the probability that our random variable will take a specific value $y$, denoted $P(Y=y)$.\n", "\n", "- **Bernoulli** (binary outcome, success has probability $\\theta$, $one$ trial):\n", "$\n", "P(Y=k) = \\theta^k(1-\\theta)^{1-k}\n", "$\n", "
\n", "- **Binomial** (binary outcome, success has probability $\\theta$, $k$ sucesses, $n$ trials):\n", "\\begin{equation}\n", "P(Y=k) = {{n}\\choose{k}} \\cdot \\theta^k(1-\\theta)^{n-k}\n", "\\end{equation}\n", "\n", "*Note*: Binomial(1,$p$) = Bernouli($p$)\n", "
\n", "- **Negative Binomial**\n", "
\n", "- **Poisson** (counts independent events occurring at a rate $\\lambda$)\n", "\\begin{equation}\n", "P\\left( Y=y|\\lambda \\right) = \\frac{{e^{ - \\lambda } \\lambda ^y }}{{y!}}\n", "\\end{equation}\n", "y = 0,1,2,...\n", "
\n", "- **Discrete Uniform** \n", "
\n", "- **Categorical, or Multinulli** (random variables can take any of K possible categories, each having its own probability; this is a generalization of the Bernoulli distribution for a discrete variable with more than two possible outcomes, such as the roll of a die)\n", "
\n", "- **Dirichlet-multinomial** (a generalization of the beta distribution for many variables)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Continuous Distributions\n", "\n", "The random variable has a **probability density function (pdf)**.\n", "- **Uniform** (variable equally likely to be near each value in interval $(a,b)$)\n", "\\begin{equation}\n", "P(X = x) = \\frac{1}{b - a}\n", "\\end{equation}\n", "anywhere within the interval $(a, b)$, and zero elsewhere.\n", "
\n", "- **Normal** (a.k.a. Gaussian)\n", "\\begin{equation}\n", "X \\sim \\mathcal{N}(\\mu,\\,\\sigma^{2})\n", "\\end{equation} \n", "\n", " A Normal distribution can be parameterized either in terms of precision $\\tau$ or variance $\\sigma^{2}$. The link between the two is given by\n", "\\begin{equation}\n", "\\tau = \\frac{1}{\\sigma^{2}}\n", "\\end{equation}\n", " - Expected mean $\\mu$\n", " - Variance $\\frac{1}{\\tau}$ or $\\sigma^{2}$\n", " - Parameters: `mu: float`, `sigma: float` or `tau: float`\n", "
\n", "- **Beta** (where the variable ($\\theta$) takes on values in the interval $[0,1]$, and is parametrized by two positive parameters, $\\alpha$ and $\\beta$ that control the shape of the distribution. Note that Beta is a good distribution to use for priors (beliefs) because its range is $[0,1]$ which is the natural range for a probability and because we can model a wide range of functions by changing the $\\alpha$ and $\\beta$ parameters.\n", "\n", "\\begin{equation}\n", "\\label{eq:beta} \n", "P(\\theta|a,b) = \\frac{1}{B(\\alpha, \\beta)} {\\theta}^{\\alpha - 1} (1 - \\theta)^{\\beta - 1} \\propto {\\theta}^{\\alpha - 1} (1 - \\theta)^{\\beta - 1}\n", "\\end{equation}\n", "\n", "where the normalisation constant, $B$, is a beta function of $\\alpha$ and $\\beta$,\n", "\n", "\n", "\\begin{equation}\n", "B(\\alpha, \\beta) = \\int_{t=0}^1 t^{\\alpha - 1} (1 - t)^{\\beta - 1} dt.\n", "\\end{equation}\n", "
\n", "- **Exponential**\n", "
\n", "- **Gamma**\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " #### Code Resources:\n", " - Statistical Distributions in numpy/scipy: [scipy.stats](https://docs.scipy.org/doc/scipy/reference/stats.html)\n", " - Statistical Distributions in pyMC3: [distributions in PyMC3](https://docs.pymc.io/api/distributions.html) (we will see those below)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
Exercise: Discrete Probability Distributions Plots
\n", "\n", "#### Poisson\n", "Change the value of $\\lambda$ in the Poisson PMF and see how the plot changes. Remember that the y-axis in a discrete probability distribution shows the probability of the random variable having a specific value in the x-axis.\n", "\n", "\\begin{equation}\n", "P\\left( X=y \\right|\\lambda) = \\frac{{e^{ - \\lambda } \\lambda ^y }}{{y!}}\n", "\\end{equation}\n", "\n", "for $y \\ge0$.\n", "\n", "Routine is `stats.poisson.pmf(x, lambda)`. $\\lambda$ is our $\\theta$ in this case. $\\lambda$ is also the mean in this distribution." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.style.use('seaborn-darkgrid')\n", "x = np.arange(0, 60)\n", "for lam in [0.5, 3, 8]:\n", " pmf = stats.poisson.pmf(x, lam)\n", " plt.plot(x, pmf, alpha=0.5, label='$\\lambda$ = {}'.format(lam))\n", "plt.xlabel('random variable', fontsize=12)\n", "plt.ylabel('probability', fontsize=12)\n", "plt.legend(loc=1)\n", "plt.ylim=(-0.1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Binomial" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.style.use('seaborn-darkgrid')\n", "x = np.arange(0, 50)\n", "ns = [10, 17]\n", "ps = [0.5, 0.7]\n", "for n, p in zip(ns, ps):\n", " pmf = stats.binom.pmf(x, n, p)\n", " plt.plot(x, pmf, alpha=0.5, label='n = {}, p = {}'.format(n, p))\n", "plt.xlabel('x', fontsize=14)\n", "plt.ylabel('f(x)', fontsize=14)\n", "plt.legend(loc=1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
Exercise: Continuous Distributions Plot
\n", "\n", "#### Uniform\n", " \n", "Change the value of $\\mu$ in the Uniform PDF and see how the plot changes.\n", " \n", "Remember that the y-axis in a continuous probability distribution does not shows the actual probability of the random variable having a specific value in the x-axis because that probability is zero!. Instead, to see the probability that the variable is within a small margin we look at the integral below the curve of the PDF.\n", "\n", "The uniform is often used as a noninformative prior.\n", "\n", "```\n", "Uniform - numpy.random.uniform(a=0.0, b=1.0, size)\n", "```\n", "\n", "$\\alpha$ and $\\beta$ are our parameters. `size` is how many tries to perform.\n", "Our $\\theta$ is basically the combination of the parameters a,b. We can also call it \n", "\\begin{equation}\n", "\\mu = (a+b)/2\n", "\\end{equation}" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.stats import uniform\n", "\n", "r = uniform.rvs(size=1000)\n", "plt.plot(r, uniform.pdf(r),'r-', lw=5, alpha=0.6, label='uniform pdf')\n", "plt.hist(r, density=True, histtype='stepfilled', alpha=0.2)\n", "plt.ylabel(r'probability density')\n", "plt.xlabel(f'random variable')\n", "plt.legend(loc='best', frameon=False)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Beta" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we apply the formula we can see why we get these plots for the various values of $a$ and $b$.
\n", "Notice that for $a=b=1.$ we get a constant. From then on, as the values increase, we get a curve that looks more and more like a Gaussian." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.stats import beta\n", "\n", "alphas = [0.5, 0.5, 1., 3., 6.]\n", "betas = [0.5, 1., 1., 3., 6.]\n", "x = np.linspace(0, 1, 1000) \n", "colors = ['red', 'green', 'blue', 'black', 'pink']\n", "\n", "fig, ax = plt.subplots(figsize=(8, 5))\n", "\n", "for a, b, colors in zip(alphas, betas, colors):\n", " dist = beta(a, b)\n", " plt.plot(x, dist.pdf(x), c=colors,\n", " label=f'a={a}, b={b}')\n", "\n", "ax.set_ylim(0, 3)\n", "\n", "ax.set_xlabel(r'$\\theta$')\n", "ax.set_ylabel(r'$p(\\theta|\\alpha,\\beta)$')\n", "ax.set_title('Beta Distribution')\n", "\n", "ax.legend(loc='best')\n", "fig.show();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Gaussian" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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OlP0o52quzJnhd1xRUQFDhgxEkiT27/+egQMHtvief/rpJ63Cwffccw9Dhw4DYN++3UyceAkWSyzjxo3hkUf+0Opn5m+M2+3iiSceYuHCpxg6dBjPP/9XHA4Hv/vd3c1Oqj87AK65ZgaqCnFxsYATvV7XYp1AbA0GIXs3mkwm7HZ789eKojSL/d69e/niiy/4/PPPiY2N5b777mPVqlVcccUVLeaw2bpepoPFEkt1mJpEhIPGvAI01tQzPtOZntkV5/1DUXP4OPrU9tXiiRT5lfUMSY/v8DMnaL1CcKCgipzkyBUACwb19U7cbgUArVZq/ndn5/T3O1JcXERSUgq1TZ+UduzYRXZ2nxavO//88Zx//vhWr/WNqaysRqPRnfQaDeXltS0ai/gbs2PHFnJz+5OV1Zfq6noyMnrz9ddfUlNzoiKqPzt88wIUFpbxhz/8jltuub3F/UBsbQ9Wa/xpr4dM8EeNGsXatWuZNm0aO3bsoH///s334uPjMRqNGAwGZFkmKSmJ2tqu85H/bMJTUoy2/4AOv94XCvJl+0Q7iqpSUudgcn9rh+dINXmze8rqnF1e8C/LvILLMr2OWDidme7Y8aqkpJgHH7yPa675MZddNrVddgSLkAn+lClT2LRpE7Nnz0ZVVRYuXMjy5cupr69n1qxZzJo1ixtuuAGdTkd2djbXXHNNqEwRdBBVVVFKS5BP2lxqL1JSMkgSnrKuIfgVdiduRe1QSqaP1KaSDCVd8BNqtNDdOl5VVlbwu9/dyW9/+3tGjz6/Q7YGg5AJviRJPPHEEy2u5ebmNv97zpw5zJkzJ1TLC4KAWlUJTidSBw5d+dBotUjJKShlJUG0LHT4Kl2md0LwrU3ZPaWiLn6HOXBgPwaDgZtvnkPfvn2bO1799Ke/CHiOCRMm8s03X3P77begqioPPvgo4O009fTT81m4cNFpx1RUlPPXv/6Jxx9/imnTpvHpp6uZO/d6zGZLhzte/fOfr1FXV8frr7/C66+/AsCjj87nuecWtWlHKOjaO0qCkOJpSsnsaA6+D8ma2mVCOiVNIu0Ly3QEnSyRFKujVHj4Haa7dby6++57ufvue1tdFx2vBFGD0hSGkVM7lpLpQ7KmNs8V7fhEOrUDlTJPJtVkoLTOGQyTzjpEx6vQIQRf0CZKeRkAUkrHNzABpNSuI/hlNid6WYO5k+mUqfEG4eF3ENHxKnQIwRe0iVJWBrKMxpLYqXkkayqq3Y5itwXJstBRZnOQYjJ0+iBgqkkvYviCqEMIvqBNlPIypORkNHLnDr/JvtTMsrJgmBVSSm3ODpdUOJnUeAM1jW4aXZ4gWCUQBAch+II2UcrLkFI6F78Hb0gH6BJhnTKbA2snNmx9pDXtAZTaRBxfED0IwRe0iVJWhmTtXPweus7hK1VVKbM5m9MqO4Mvy0eEdQTRhBB8QZso5aVIQdi88m36RruHX+dw43ArnUrJ9JHa7OELwRdED34F/80338Rmi/7NNkFwUevrUe32DlfJPBmNTocmKSnqBd8XfgmOh++do0R4+IIowq/g79u3j8svv5yHHnqI77//Phw2CaKAYKVk+pCtqXiiPKRTZuv8oSsfRp2M2ailTMTwBVGE32Tj+fPnY7PZWL58OY8//jiqqjJnzhxmzJiBwdD5XwxBdOLxCX4QYvjeeVKjvtVhWdNBKWt85z18aMrFFx6+IIoIKIZvMpmYOnUqV155JdXV1fzrX/9i6tSprFmzJtT2CSKEL4UyGCEdACk1rQuEdLzibI0LjiOTahKHr6IJt9vNk0/O4447fsGtt97Exo3rWtxXFIVFixbyy1/+jDvvvI38/LyQ2BHoOlVVlVx77XSOHTsatLX9Cv7mzZu5++67mTp1KocPH+Zvf/sbH3zwAW+88QaPPPJI0AwRRBcnQjrBOXEoWVNRa2tRG6O3E1SZzYnZqEWvDU4uQ2q8XsTwO0FnO16dSjC6TgWj+1Ug67jdbp59diF6fXCjKH5DOo8//jg33HADTz75JPHxJ4rqZ2dnc/31nfsBCKIXpbwMTWwcUpDqmZxIzSxBzu4VlDmDTanN0ekaOieTajJQWe/C5VHQdbBdYqRp/HgljSuXA2ALUgMU4/QZGKdO9zuuoCCfzMxsAA4dOtiqZHCgdeh9eMsYT27+WpZbyt/OnTsYM2YsAEOGDGXv3h9a3Hc4HDz66AM8/PDjDBo0hJdffhGn08ktt9zWLrv8rQOwePH/cfXVM3nzzddO+ywdxa/gz507l5/85Cctri1ZsoTbbruN3/zmN0E1RhA9BCsH34dvLk95WdQKfnmQcvB9NDdCsTnpaTYGbd6zgeLiIlJSrEiS9w/lwYMHWjREgcDq0J9MbKy3ZWB9vZ2HH/4Dt976qxb37XY7cXEn2rJKkoTb7W7+euvWLfTvP7BZuHNz+/H111+2KsPhz6621vE1PPnoo+VYLBbGjBkbPsF/5513aGxs5PXXX8fpPJFp4HK5WLp0KbfddltbLxV0A5Ty0qBl6ADIzbn40VteodTmYECayf/AAPFt/pbZHF1W8I1Tpzd7412t49WSJS+wc+cOAP7ylxeRZbmDXae8+nf48CG/3a8Csctfd6uVKz9Eo9GwdesWDh7cz/z5j/D0038OSkG3NgVfq9Wyf/9+Ghsb2b9/f/N1WZa5//77O72wILpRysvRjRgZtPmaQzrl0blx6/YoVNW7glJHx4evRIMor9B+gtHx6rbbWo7vbNcps9nMtm3fAG13vwrELn/r/O1vLzf/+847b+O++x4MWvXONgX/uuuu47rrrmP16tVcemngH5sEXR9VUYJWR8eHJiYGjckUtR5+ud2JCkGpo+PD98ejTGTqtJtgdLw6lY52nfJ1wPrDH+axceP6Tne/CqQTV6hoU/Bffvllbr31VjZv3sxXX33V6v7DDz8cMqMEkUWtrgKPJ6gxfPAe4vJl/0QbPi88GIeufMQbtBi0kmiE0gGC0fHqVDradcpstpCSkkpsbGxQul8F0onLx+LFSzq93sm0Kfi+jJzExM7VQhd0PU7k4AdZ8K2pUevh+7zwYG7aajQaUk164eG3k2joeHUq3aUDVpuCP3v2bADuvPPO5mslJSXk5eUxevTo0FsmiBjNp2yTg+/hu44dCeqcwSIUHj54Q0Ti8FX7iHTHq1PpTh2w/CYHv/POO9xzzz1UVlZy7bXX8tBDD/GnP/0pHLYJIoQS5LIKPiSrFaWiAtUTfU1Byuoc6GQN5pjOtTY8FatJLzZtBVGDX8F/7733eOCBB/j444+ZNGkSK1euZNOmTeGwTRAhlLIykCSkpOSgziulWMHjQa2qCuq8waDU5sAap+90a8NTSTUZKLc5UFU1qPMKBB3Br+BrNBpSUlLYvHkzY8eORavVoiidP20niF6U8lKkxCQ02uB6u77UTE8UpmaW251BzdDxYY034PSo1DS4/Q8WCEKMX8HX6/W8/PLLbNmyhYsuuoh//etfxMTEhMM2QYQI9ilbH7I1eg9feTtdBV/wfamZIo4viAb8Cv6CBQs4evQozzzzTNPBg23Mnz8/HLYJIoRSXh7UU7Y+mjtfRVlqpqqqlNY5SA1SWeSTsZ5UXkEgiDR+P7Pn5OSwYMGC5q/Fhm33RykvRTdseNDn1SQmgSxHXZlkm8NDo1sRHr6g2+NX8FevXs3ChQupqalpsfH07bffhtQwQWRQHY2otbUhCeloJAkpOSXqQjqlzZ2ugu/hp8Tp0SBO2wqiA7+Cv2jRIu6//34GDRoU9AwGQfShlJcDBLWswslI1ug7bXvi0FXwPXytLJEYqxOpmYKowK/gJyQkcNlll/kbJugmBLvxyalIKal4jkbX4auyIDYvPx2pJoPw8AVRgd9N2+HDh7Nu3Tp/wwTdhFCVVfDh9fCjK4bvE/yUuBAJfrxBbNoKogK/Hv66det466230Ol06HQ6VFVFo9H4jeErisJjjz3Gvn370Ov1zJ8/n169TjS+2LlzJ08//TSqqmK1Wlm0aJFoih4FNJdVCFVIJ8WKarej1tejaWpIEWnKbA7MRi1GnRyS+a0mPd8V1IRkboGgPfgV/Ndff71DE69evRqn08myZcvYsWMHTz/9NC+++CLgTYObN28ef/3rX+nVqxfvvfceBQUF5OTkdGgtQfBQysvAYEBjCl4jkJM5cfiqDG2UdL4qtztJCVE4B7whnZpGNw63giFI/XIFgo7g992XkZHB999/z7vvvktSUhLbt28nIyPD78Tbtm1j/PjxAIwYMYJdu3Y13zty5AgWi4U33niDG2+8kerqaiH2UYL30FVqyDbopebDV9ET1im1ObHGhe7TpVXUxRdECX49/CVLlrBp0yaKi4v56U9/yuLFizl27Bi//vWvz/g6m82G6SQvUZbl5r6NVVVVbN++nXnz5tGrVy9uv/12hgwZwtixY1vMYTIZ0GpD8zE7VMiyhMUSHaGKjmCrrkTfI61dz9CeZ3bmZFMLGOtrSIiS71NFvZNzeiaE7Jn79EgAoAFNl35vdPX3dkfobs/sV/BXrlzJe++9x/XXX09iYiLvvvsus2bN8iv4JpMJu93e/LWiKM19Gy0WC7169aJvX29rr/Hjx7Nr165Wgm/rgh5ROPt+hgJncTG6QYPb9QzteWbV4O2zYDtWgBIF3yePolJe58Csk0L2zLEa7/mVI8W19LN0zd620PXf2x2hqz6z1Rp/2ut+QzparRa9/kR8MyEhoUXD3bYYNWoU69evB2DHjh3079+/+V5WVhZ2u51jx44BsHXrVvr163faeQThQ1XVprIKodmwBdAYjWhM8VET0qmqd+JRQ5OD7yNV9LYVRAl+lTs9PZ0vvvgCjUaD0+nk1VdfDSiGP2XKFDZt2sTs2bNRVZWFCxeyfPly6uvrmTVrFgsWLOCee+5BVVVGjhzJJZdcEoznEXQCta4WnI6Q5eD7iKbDV6UhzsEHiNPLxOgkEcMXRBy/gj9v3jx+//vfs2/fPkaMGMHw4cP54x//6HdiSZJ44oknWlzLzc1t/vfYsWN5//33O2CyIFQ0n7INUQ6+DynFGjXlFZpz8EPo4Ws0Gm/nK9HbVhBh/Ap+Wloab7zxBg0NDXg8nhYbsYLuhS/MEopKmScjWVNxRclp23J76OronIzobSuIBtoU/MWLF5/xhSf3uhV0D07U0Qm14FtRKr2tDjVyZLOwSm1OJA0kxoZW8K0mgzh8JYg4bQp+VVMbusOHD3PkyBEuvfRStFotn3/+OQMGDAibgYLw4St5IIW4YbOv1aFSVYkc4j8u/ii3OUiO06OVQlsY0GoyUGZ3Np9UFwgiQZuCP2/ePABuuukmPvjgA5KSkgD41a9+xR133BEe6wRhRSkvR2M2owlxiQvfaVulrCzigl9qc4ashs7JpJr0uDwq1Q2ukH+aEAjawm9aZllZWbPYgzcts6KiIqRGCSKDUl6GlBx6AfaJfDSkZpaHqLXhqVjjRWqmIPL43bQdMGAADzzwAD/60Y9QVZX333+f4cOD3w1JEHmU8tD0sj2V5vIKUZCaWWZzMDwjIeTrpJ5UXmFAqkh8EEQGvx7+/PnzSUhIYMGCBSxcuJAePXrw+OOPh8M2QZhRyspCnoMPoLEkglYb8dRMh1uhptEd0hx8H1Zx+EoQBfj18E0mEw888EA4bBFEENXtRqmqDHmGDpzU6jDCdfF9KZnhCOkkx+mRNFBaJ1IzBZFD1GoVAKBUVYKihEXwoSk1M8Ieflld6E/Z+tBKGpJiRS6+ILIIwRcA4cvB9yGlRL68Qpm9SfBDWBr5ZKwmvQjpCCKKX8H35eMLuje+jBk5DJu24E3NjLiH39y8PDxpkqK3rSDS+BX86dOnc88997B169Zw2COIEEpFk4cfhrRMaGp1WG9Hqbf7HxwiymxO9LKGBKP/6q/BwGrSi962gojiV/DXrFnDhRdeyLPPPsuMGTN4++23sdls4bBNEEaU8jKQZTSJiWFZ70Tnq8h5+WU2B1aTIWwnX1PjDdQ2uml0ecKynkBwKn4F32g0MnPmTN59910efvhh/vGPfzB+/Hgef/xxEe7pRihlZUhJyWGrbSOn+E7bRi5Tp8zmDFs4B05udSi8fEFkCGjTdv369dx111389re/5TXtEDkAACAASURBVNJLL2Xp0qWkp6eLEgvdCKW8LGwbthAdh6/K7U5SwrRhCyfn4os4viAy+A1eTpw4EYvFwg033MCiRYswGr0t2gYMGMCyZctCbqAgPCjlZciZWWFbL9IhHVVVKbM5GJeT5H9wkPB1vhIeviBS+BX8Z599lvPOO6/FtYMHD9K3b18+//zzkBkmCC9KeTm6keeGbT2NwYgmPiFiIR2700ODSwlL4TQf1pPKKwgEkaDNkE51dTXV1dU8+eST1NTUNH9dXl4uauF3M1RHI2pdbcjLIp+K9/BVZATf52WnhuGUrQ+TQUusTha5+IKI0aaHf88997Bp0yYAxowZc+IFWi2XX3556C0ThI1wtTY8lUgevvLF0VPCuGkLvtRM4eELIkObgv/qq68C8MADD/DUU0+FzSBB+AlXa8NTkaxWXIcOhnVNH+XNzcvD5+GDt0yy6G0riBRtCv6hQ4fIzc3lxhtvZPfu3a3uDx48OKSGCcJHuMsq+JBSUlGqKlHdbjTa8Bx+8hHuU7Y+0kx6tuWJVoeCyNDmb9kzzzzDkiVLuOuuu1rd02g0YsO2G+FpCqtEwsNHUVAqK5BT08K6dpnNickgE6MLb09dX6tDRVWRRKtDQZhpU/CXLFkCeE/aCro3SnkZGAxoTOFtzHGi81VZ2AW/1OYIW9G0k7GaDHgUlap6F8lhzBASCOAMgj9//vwzvvDhhx8OujGCyKCUlSJZU8PeXLu5t20ENm5LbU7S4sMv+Cd3vhKCLwg3bQq+xWIJpx2CCKKUliKnpoZ93ROHr8KfmllS56BvSmzY1z25t+3A8H6oEQjaFnyRa3/2oJSWoBsVvkNXPjRmi7fVYZg9fJdHodIeeQ9fIAg3bQr+nDlzeOeddxg5cuRpP+p/++23ITVMEB5UjwelohwpzDF0aGp1mBL+zldlNicqRETwk2L1yBrR21YQGdoU/L/85S8ArFixImzGCMKPUlEOHk9zPD3ceA9fhTekU9LUVzY1AoIvSxqS4/SUid62ggjQpuCnNsV0MzIy2LBhA19++SVarZYJEya0qq0j6LoopSUAYc+S8SFZrXgOHgjrmj7Bj4SHD02pmcLDF0QAv+WR//73v/PUU09hNBqRJImHH36Yt99+Oxy2CcJA8ynbSAl+ihVPeRmqqoZtzdKIC75elEgWRAS/xxtXrFjBu+++i6kpR/uWW27hhhtu4Cc/+UnIjROEHqXE6+FLaZHy8FOhoQHVbg/bOYCSOgdxepk4fXhP9/pINRnEaVtBRPDr4RsMBuLi4pq/NpvNGAyR8YwEwcdTWgJGIxpTfETWlyOQmllS54iYdw9eD7/O4aZBtDoUhJk2XZxPP/0UgD59+nDHHXdw3XXXIcsy//3vfxkyZIjfiRVF4bHHHmPfvn3o9Xrmz59Pr169Wo2bN28eZrOZe++9txOPIego3hz8tLAfuvLhK+eglJdBn5ywrFlqi6zg+zaLS+sc9EoK/1kAwdlLm4L/5ptvtvj6tddea/53RUWF34lXr16N0+lk2bJl7Nixg6effpoXX3yxxZilS5eyf/9+sQkcQZTSkojF7+Gk07ZhTM0sqXPQPzW8ZSRO5uTetkLwBeEkYMFvL9u2bWP8+PEAjBgxgl27drW4v337dr777jtmzZrF4cOHO7WWoOMoZaXo+lwQsfWlFG/TlXClZjrdCpX1rvZ7+KqKZC9CW7EXTUMlGqMGvRKHx5KDx5ILUuBF2ERvW0Gk8LtrdfToUd566y3q6+tRVRVFUTh27BhLly494+tsNlvzRi+ALMu43W60Wi2lpaUsXryYxYsXs2rVqjbnMJkMaLXhrWbYWWRZwmLpGl6b6nJRXlFObFZGp2zu3DPHUmU2o62tCsv37XhlPQB90uIDW6/6ONL2fyLt/RBNZcva/eam/6tGM2q/K1BG3IiaNRb8hMf6xXg9/Dq32mXeK9C13tvBors9s1/Bv+eeexgyZAjbt29n+vTprF27NqBa+CaTCbvd3vy1oihom2qef/zxx1RVVXHbbbdRVlZGY2MjOTk5XHvttS3msHVBD8hiiaW6uj7SZgSEp7gIVBVXQlKnbO7sM2uSrTQWFIXl+3agoBqAeElzxvUkWxFxXz2DYf9/AHBlXIhz0Fzc1iF44tJIsMRjKy1ErtiLPn8T+n0fof1+Ka4eo7GPfQBXzzFtzg0Qp5fJK7d1mfcKdK33drDoqs9stZ4+CcOv4Nvtdh5//HEWLFjAhAkTuOmmm7jxxhv9Ljhq1CjWrl3LtGnT2LFjB/3792++d9NNN3HTTTcB8MEHH3D48OFWYi8IPb5DV5FKyfQRzt62fg9dqSrG718j7qtn0ChuGobdQsOIW1FMPVuOM8fiVpNxW4fiGHgduBsw/rCM2G9fwPKfmTScMwv7RY+iGhJOu0yqySDKKwjCjl/B91XN7NWrFwcOHGDYsGEBZXRMmTKFTZs2MXv2bFRVZeHChSxfvpz6+npmzZrVecsFnaZZ8CNQKfNkpBQrzgP7w7JWs+AntBZ8TWMV8Z//DsPRz3BmX0LdhAUo5taZZadFG0Pj0J/SOPB64rb+HzHbX0Jf8BW1U/+O2zq01XDR21YQCfwKfq9evViwYAHXXHMNDz30EPX19bjdbr8TS5LEE0880eJabm5uq3HCs48cntLInrL1IVlTUcPU6rC0zkGCUduq05VUfQTL8huRbIXUjX+CxqE/8xuLPy26WOxjH8TR+zISPv0Vln9fTe2Uv+LMnd5imDXewDfHqjrzKAJBu/F78Oqxxx5j9OjRDBo0iOuvv56vvvqqlZALuiZKaQma2DikuMilKELT4StVRQkg3bezlNQ5SD2lcbm29DsSP7gajbOW6mvep3HYLR0T+5Nwp4+m6vpPcFuHkPDx7Ri/f6PF/VSTngq7E48SvpISAoFfwY+JieH8889n7dq1ZGZm8tRTT3HuueGvnS4IPt4c/MiGc+DEJwxfiCmUnHrKVluyHfN/Z6FqY6m+9r+4ewTvva3GJFF91VKcvacQv/4hYra/1Hwv1WTAo0JlvYjjC8KHX8H/4osvmDp1Kq+88govvPAC06ZN45tvvgmHbYIQ4ymJ7KErH1KPdAA8xYUhX6u4zkGPpvi9XL4H8/IbvcJ87Qd4EluHHDuNLobaK5bQ2HcGpi+fbPb00xOMXntqRRxfED78Bkz/8pe/8NZbb9GvXz8Adu/ezbx58/jggw9CbpwgtCjFhejOGRRpM5CbBF8pKgrpOjaHm9pGNxlmI3L1YSwf3oCqi6X6R0tRTOmhW1jSUnfpX9G4HcSvfwhVH096yuUAFNU2MrTn6TN5BIJg49fD12g0zWIPMHjw4LCWshWEBsVuQ62tRUoPodAFiMZoRJOY5D0XEEKKahsByI5xkrDyp6Aq1Fy1FCUhO6TrAiDrqJ36Is6eFxC/5l5623cCUFjTGPq1BYIm2hT86upqqqurGTJkCK+++ip2u52GhgbefvttLrggckfxBcFBKS4GQE7v6WdkeJB7pKOEWPALaxxocTN5zx+Qa/OoueKV0IRx2kI2UHvFy3gSMrF+dhvDjOUU1grBF4SPNkM6F1xwARqNptmbX7RoUfM9jUbDH/7wh9BbJwgZniJvvFzqER2CL6Wn496/L6RrFNU28qj2nySWfUXtpD/j7nl+SNc7HaoxkZrpb5D4/gwWS8/ySNVfwm6D4OylTcHfu3dvOO0QhBmfNy1HQUgHvB6+c8M6VEVBI/mNNHaIHsf+w3Xa1dhH3I7jnOtDskYgKJY+1E59icz/zeHGyudAfafTaaACQSD4/c1SFIWXX36ZuXPnMmfOHBYvXhzQwStBdOMpKvQ2PrEkRtoUoClTx+VCqQxNLr5csY+rip7jW2ko9WMfCMka7cGVeRGfp/2CSz0bMXz/eqTNEZwl+BX8P/3pT3z11VfcfPPN/OxnP2P79u0888wz4bBNEEKU4iLkHukRa3xyKr69hJBk6rjqSfjkV9Rj5JWUB9pVyjiUHMi9hdWekcRvegJt8beRNkdwFuA3LXPDhg38+9//RqfTAXDJJZdw1VVXhdwwQWjxFBVFTfweWubi64YOC+rc8esfRq46wO/Vh7AkRc8z9zTH8jvXr/g6/nESPruLqlmfoOoje+pZ0L3x6+Grqtos9gB6vb7F14KuiVJUGDXxewA5rQcQfA9ff3AFxr3vUj3iLj5zDCL9NEXTIkW62UAtJtYPfAKpLo+4jY9G2iRBN8ev4A8cOJCFCxdy/Phx8vLyeOqpp1qUOhZ0PZS6OlRbHVKUpGQCaGJi0FgSg5qLr2msIn79w7isw9iTexsAPc3GoM3fWXynbb+TzqF+1K+J+WEZ+kMfRdgqQXfGr+A/+uij1NbWMnv2bK6//noqKyuZN29eOGwThAilpClDp0f0ePjgzRgKZi6+aeNjaBzV1E36I0U2b6KBT2SjgRidTGKMjsKaRurP+y0u6zDi1/4eyV4cadME3RS/MfyXXnqJp59+Ohy2CMKEpylsEg2nbE9G6pGOO0h18fVHP8e479/YR/8/PCmDKDxeAEDPKBJ8gHSz0XsCWNZTN+WvJL47lfg191Bz5VsiVVMQdAIqniboXpzIwY+ekA40nbYtKUZVlE7No3HWYVp3P+7E/tSP/g0ARTWNxOgkzDGhrbffXnomGClqKqDmSeyL7cKH0R9fh2HvuxG2TNAd8fvuz8zM5JZbbmHUqFHExcU1X//Zz34WUsMEocNTVIgmJhZNgtn/4DAiZWR6c/HLSps3cTtC3JcLkOwlVF/7EsjeTdqCmkZ6mo1Rk4bqo6fZyBcHy/EoKrKkoXHITRgOLse08XFcWRNCW9RNcNbh18O3WCykpaVRUFDA/v37m/8TdF08+XlIGRlRJ35yZhbgta+j6Aq+JGb3WzQM+wXuHqOar+dVN5Bliem0jcEmy2LEragU1zXV1NFI1E38IxrFiWndAyAKFQqCiF8P/6mnngKgpqYGWZYxmUSecFdHyc9Dzu0baTNa0ULwzz2v/RO4Gohfcx+ehF7Yx9zXfFlRVQqqGxjXJylYpgaNrETvH6G8qgYyzN5/K5Y+2Mf8HtOmJzAc+C+O/tdE0kRBN8Kvh3/48GFmzpzJhRdeyJgxY7jxxhspLAx9owpBaFDdbjxFhcgZWZE2pRWSNRX0BpQOevhxXy9Crj1G3aRFoDvhzZfWOXB6VDITo8/Dz26y6XhVy6qZDcN+jittJKb189DUl0XCNEE3xK/gP/DAA1x33XXs2LGD7du3c/nll/PQQw+FwzZBCFBKS8DtRs6KPsHXSBJyRkaHQjra4m+J2fkKDYPn4sq4sMW941UNAGRHYUgnJU5PjE4ir7qh5Q1Jpm7Sn9C46jGtF2nQguDgV/AbGhqYPXs2Op0OvV7P3LlzKS8vD4dtghDgyTsOgJyRGWFLTo+ckdl+wfc4iF9zL0pcD+wXPtjqdn6TmGZaoislE7ylxjMtMc02nownqT/15/0W46EV4kCWICj4FfycnBy+/fZEYaf9+/eTmRmdYiHwj6cgHwA5MwxdnjqAnJmNp7CgXamZsVv/irZqP7ZLnkbVx7e6f7yqEYNWIjU+esoqnEyWJab5U8ip1I+8HVfKYEzrH0bTWB1mywTdDb+btoWFhcydO5cBAwag1WrZs2cPVquVGTNmALB8+fKQGykIHp78PIiJQZOcHGlTTouclQVOZ8CpmXL5HmK//RuNA2bi7DXptGPyqxvIMBuRoiwryUdWYgzrDlXgVlS00ik2yjpsk/6I5b0rifvySWyT/hQZIwXdAr+Cf++994bDDkGY8OTnIWdkRl1Kpg/Jl6mTd9y/4Ctu4tfci2qwYBv3WJvDojUl00e2JQaPolJc20jmaex0W4fSMPJ2Yr/9G45+V+PKGh8BKwXdAb+Cf/754W8DJwgdSn4eck70pWT68GUPefLzYPSZ33sxO15CV7aTmsv/jmo8fSMXRVUpqGlkbO/oS8n0kdWcqdNwWsEHsJ93N/rDq4hf+3sq53wOuthwmijoJoSml5wgKlHdbjyFBc357tGIZLV6UzOb9hraQq46RNyWP+PIuQJn3yvbHFda58DhVshOjL4NWx8n5+K3iTYG28RFyHV5xH39bJgsE3Q3hOCfRSjFReDxRGVKpg+NJCFn+snUURXi196LqjVSN2HBGec7VtmUkpkYvR5xcqyOWJ3cOjXzFFw9x9Aw5GZivnsVbfG2MFkn6E4IwT+LcB87CoDcu09kDfGDnJnVnD56Oozfv46u6Bts4x5DjUs941yHK+sB6JMcvYKv0WjISozxK/gA9rH3o5jSiV9zH3gcYbBO0J0Qgn8W4Tl6GAC5V5QLfq/eePLzUF2uVvek2jxMm5/GmX0JjgE/9jvXkQo7ZqOWpNjo7tLWOymGoxX1fsep+nhsFz+Ftmo/sdsWh8EyQXdCCP5ZhOfoESRrKlKU10OS++SAx9Pay1dV4tf+HlWjoe6SZwKqF3+0op4+ybFRm5Xko09yLIW1DuqdHr9jnb0n09j/WmK3LUau+CEM1gm6C0LwzyI8R49EfTgHQNsnBzjxicSH8Ydl6PM3YB/7IEp8ht95VFXlcJPgRzs5yd7S40cq/Xv5gDecZUggfs29oPj/IyEQQAgFX1EUHnnkEWbNmsXcuXM5duxYi/srVqzguuuuY/bs2TzyyCMonWx6ITgzqqLgPna0Swi+nNULJAn3kSPN1yR7MXGbnsDZcwyNQ+YGNE9Vg4uaRje9k7qC4HttPFxuD2i8GpOEbfwT6Eq/I2bnq6E0TdCNCJngr169GqfTybJly7jnnntatElsbGzk//7v//jnP//J0qVLsdlsrF27NlSmCGgqmtbQgLYLCL7GYEDqmYHnSJOHr6qYvngAjceBbeIi0AT2tj3SFBPP6QIefqYlBr2s4XAAcXwfjr5X4eg9hbivn0WqORo64wTdhpD1e9u2bRvjx3tPBI4YMYJdu3Y139Pr9SxdupSYGG/+sdvtxmCIzjon3QXPUa+33BU8fPCGdXw2G/b/B8PRz7Bd9AgeS07Ac/gEv09y3BnHuRQXJQ3FFNcXUemsoMpRRZWjkipnJXaXjUZPI42eBho9jTg8DjRo0GplVAVAg17SE6eNI1YbS6w2jjhtHEmGZJKNKaQYrSQbUkiNSSVel9CmDbKkoVdSLIcrAvPwAdBosF28gMR3JhO/9vfU/GiZ6IMrOCMhE3ybzdaiWYosy7jdbrRaLZIkkZKSAsCbb75JfX09F110Uas5TCYDWq0cKhNDgixLWCzR51FWlXgPMiUNG4QcZPtC8cyegf2p2rwJs1qJbuMjKBnnYZhwFwYp8PdDoc1JnEGmf6YFjUaD3WXnQPV+9lft52D1QfJsx8mry6O4vhhFbRlSNMgGkoxJxOviidHGkGCMJ1VrxSAb0QAqoKgeFFXF4XFQ766n3FmK3W6nzlVHrbO2lT0WQyK9E3qRHd+LXvG9yDHnck7SQKwxqWg0GgamJ7DtWFX7vpeWviiTH0e/6nckHv036sibAn9tO4nW93Yo6W7PHDLBN5lM2O0nvBVFUdBqtS2+XrRoEUeOHOH5558/bRaFzdb18owtlliqqwP/WB4ubHv2oUlMog49BNm+UDyzKz0L3G4c/7wLnauB6ov/iKc28PeD0+NkW/F2ktMP8tu1KzlYe4DC+oLm+yZtPJlxWQxMGMyk9MvIiM2kR2w6SfpkEg1JxGnjzpjZ4++ZnR4nlY4Kyh3lVDSWUdxQTL79OPn2PDYWbORDx/+axybqE+lnHkC9Np0STzx7C/rSI64dpSD6/BhzxntoV8+jynpRyPrgRut7O5R01We2WltXjYUQCv6oUaNYu3Yt06ZNY8eOHfTv37/F/UceeQS9Xs8LL7yAJIlkoVDjPrAPbd9+kTYjYHyZOsrur7HPuQ9PYu4Zxzs8DnZW7mB7xTZ2V33P3pofcMU6AThQ05N+5gFMzZxObnw/+ib0I8VoDWmqpl7W0yM2nR6xpxdfu8vOEdthDtTsY3/NXg7U7udIwxZisxRuWPdP+phyGJo0nKFJwxmeNJIUo7XtxTQSdZc8S9LSSzGte4jaaa+K0I7gtIRM8KdMmcKmTZuYPXs2qqqycOFCli9fTn19PUOGDOH9999n9OjR3HzzzQDcdNNNTJkyJVTmnNWoLheeI4fRz7oh0qYEjNZqAkml3pmFdvitre6rqsrhuoN8U76FbeVb2Fn5HS7FiVajpZ95AJf2uIoPthi5Y/TFzB01OAJPcGbidHEMSRzKkMShzdeOVFYzZ+l/mTSsDo/+MJ8VfMKHx/8DQE58X863juE86wUMSRyGTmp5kMzbB/c+TF/Ox3BwBY5+M8L6PIKuQcgEX5IknnjiiRbXcnNPeGl79+4N1dKCU/AcOQxuN9p+AyJtSmCoKgmb5lFn8VDv7kNCU9ze6XGyo/JbNpVs4MuSDVQ4vJ3Xepv6cFX2NYxOOZ9hSSOI0caw5kA579btYVR69NYNOpXeiWbi1P7E1afw0Lj+eBQ3h+oO8m35VraUf8X7R5ax9PDbxMixjEwexUVpE7gwbRxmvQWAhuG/wHBwOaYND+PMGtdmBVHB2UvIBF8QPbgP7ANA26+/n5HRgfGHdzAc+QTtgEuw7z7OmoJP2VS6ga/LNlPvrscox3C+dQxjrBcy2joG62nCHftKbcgayE05c4ZONKHRaBiQamJfqQ0AWdLS3zyQ/uaBzM69kXq3ne0V3/JN2Vd8VfolX5ZuRPpeYljSCMb1uJhxaROQJy4i8b3pxH/xB2ovf0mEdgQtEIJ/FuDevw9NTGxzc5FoRq4+jLzxUVZkjeSYGyZtruXv6x/FY03ikvTJjEubwKjk0ejlM6fx7i+10SspFqOua2V5nZNm4p1vC3B5FHRyy72tWG0cF6WN56K08aiqysHa/WwoWceG4nUs3vMci/c8x0DzIKYMuZIf7f6Q2B+W0ThodoSeRBCNCME/C3Dv34fcrx+aKN4cdytutpZuZsOWeazrmUK9VMEoi4tJwIKEX5IzeS6yJnDx3ldqY3SWJXQGh4gBqSZcHpXD5fUMSGu75pFGo6GfeQD9zAO4pf9tHLcdY2PJOtYXfcHzddtYnJXB6L1/5BLZzric6854BkBw9iAEv5ujejy4Dx3AOC36NvFUVWVvzR4+zv+IdUVrqHXVkKDxMDnxXC4ecAvDTOdQ/dql9CxsaJfYV9Y7KbM5GZAa3UXiTsc5ad50uh9K6s4o+KeSberFDaabuCH3JvJsx1l77D+sOfQvFh16lecOv8GY1LFM7nk5Y1MvwuDn05Gg+yIEv5vjyc/zllSIog3bakcVnxV8zEf5KzhmO4JRNjIufhBX7fuUc7Om47joueaxcq8+uPfva9f8PxR7Y+AD2yGY0UKmxYjJILO3KY7fEbJM2dw0+P/xc0MuBWvv4n85F/Fp9Q9sKtmASRvPpJ6XMjVzOgPM50R9FVFBcBGC381x7/oeAO3gIRG1w6N6+Kbsaz7OX8GXJRtxq24GWQZzz9D7mWQeTsa/r0XVpVE94ckWr9MOGIjzy42oqhqwOO0sqkXWnPCWuxK+jds9xXWdnsvV90pyjn/BAz8s45dXvsE3cfF8kr+Sj/NX8uHx/9DHlMPUzOlcmnE5iYbo7fkrCB5C8Ls5rl070cQnIGf3isj6hfUFrMpbwScFH1HeWIZZb+Ga3j9mauaV9InPAcWD+cM5SM4aqq56C1Xf0ivXDRmGY9UKPHnH0Qb4DN8X1tLXaiJW37U2bH0MTU/gza35NLg8xHRy09k2/kl0pTtI/Ow3nHf9x5w74jF+46pjbdHnrMpbwYt7n2fJvhe4IPUipmZOZ4x1LFpJyEJ3RfxkuznuXTvRDh4a1g1bh8fBhuIv+Ch/OTsqvkVC4jzrGO48527Gpo1rcWgodssf0Rd8Se3k5/Akn9NqLu3wEd7n2LkjIMH3KCq7i+qYNujMrQ+jmRGZZl7fkseuolrOy+5kLr0uhtqpS7C8N52ET35J9bUfYNLFMyP7amZkX82RusN8kv8RnxWsYlPJehL1SVyWeQVXZE4n29Q7KM8jiB6E4HdjlLpaPEePYLj0srCst79mH6vylvN54WfY3HWkx/bklv63cXnGNKwxrQVYf/Rz4rY9T8OgOTgGXnfaOeXsXmjMZlw7v8N45Y/82nCo3E69y8PQnl03K2VYegIaYEd+EAQf8FhyqJv8HOZVv8C08QlsF59o/N4nPofbz7mTXwy4na/LNvNx/greP7KUZYffZnDiUKZlzuCS9EnEaLtPAbGzGSH43Rj3bm9Jau2QYSFbo9ZZy8f7/scHBz7gYO0B9JKeCT0u4YqsGQxPGonURu16ufIA8Z/dhStlMLbxT5x2DHhj2rqhw3F9/11A9nxX6K1SOawLC368UUtfaxw7CmqCNqczZyr1I39F7PYXcaUOw3HOrBb3tZK2Oce/0lHJpwWrWJW3nEXfL+T5Pc8xMX0y150zk17a/mKjtwsjBL8b4/p2K2i16AYFd8NWURW2V2zjo7zlbCxZj0tx0i9hAP9v8D1M7nkZJt2ZN0s1jVWYV/4UZD21V7wK2pgzjtcOG4Fz43qUinKk5JQzjt2WV02qSU+G2djex4oqRmSYWbG7GLeiopWCI7D2C/6Atnw38V/cj5KQjStj7GnHJRmSmJ3zE2b1uYHd1btYlbfcG/PPX0F2XC+mZl3JZRlTSTIkB8UuQfgQgt+NcW7b6o3fx5xZUAOlpKGYT/I/4uP8lRQ3FBGvi+fKrKu4ftCPSdNkBzaJx0nCql8g2YupvvpdlIRMvy/RDfPG8V07v8MwcXKb4xRVZevxasblJHV5L3RERgLv7ShkX6mNwT2ClG0kaam9/EUs//4RCatupfrHH56xoYxGo2ku8HbnoLv5umYjH+z/gCV7/8Yr+/7O2NQLuSJzBmOsFyCLjd4ugfgpdVOUmmo8B/YR+7PWlSbb9ONygQAAHihJREFUg9PjYGPJelblr+Db8q2oqJybfB6/GHA749ImoJcNgdcMb2pVqC/8mtopz+PucW5ANmgHDEQTG4dr65YzCv6BUjs1je6gxL0jzahMMwDfHKsKnuADqsFMzfTXSXx/Bgkrf0r1zP8FVGQtRhvL1blXc0nyZRy3HWVV/ko+zf+ITSUbSDIkc1nGFVyReSVZpgD/8AsighD8borr222gqujOPa9Drz9Qs49V+Sv5vPAT6lx1pMX04KZ+t3B5xrQ2a7z7I27zQmL2LsN+3m9x9L8m4NdptFp0o8/D+fXmM+bjbzleBcB52V2vpMKppJgM9LPGsfloFT8dE1wRVcy9qb3iFcz/m4N55U+pnvEv0AdeZC7b1JtfDvw1P+//S74u+5KP8lbw7pF3WHr4LYYmDueKrCu5uMdEsdEbhQjB76a4tm5BExOLdlDgteBrnDV8XvgpH+ev4GDtAXSSnvFpF3NF1pWMTD63zQ3YQIj59gVit79Iw5CbqT/vd+1+vX7MWJzrv8Bz7Gibjdi/OlpF76QYUuO7R+mAC/sk8dbWfGwONyZDcH9VXT3HUHvZYhI+uR3zx7dSM/01aGfJBe9G7wQuSptARWO5d6M3fyXP7lzA87ufY2LPyUzLnME5lsFdPsTWXRCC3w1RFQXHxvXoxlyARnvmH7FHcbO1/Bs+LfioaQPW1bwBO6nnlKAU3TLufhvT5oU09vsRtglPdqhkr26Md4PR9fXm0wp+XaObbfk1/OTcjE7bGy1c2CeRN7bkseV4NZP6nXmzuiM4c6dRN/GPJKz5HQmf3knt5S9CB2PxycYU5uTOZXbOjeyq2slHectZU/gZH+Utp5epD1dkTmdKxlRxojfCCMHvhrh/2I1aWYF+/CWnva+qKvtqfmB14SesLVxNlbOKBF0CM7KvZmrmdPomBK9uvnH3W5i+eABH9kTqJj8HHfyUIKf1QO6Tg2PjemJO07nryyOVeBSVCbndJ3NkWHoCJoPMhkMVIRF8AMc512Nz1mLa+Bjxn/2Gukv/ArLO7+vaQqPRNLdmvGvwb5tO9C7n73sX8/K+FxmbOo5pWVcyOmWMONEbAcR3vBvi3LAOZBn92AtbXC+sL+Dzgk/5rPAT8u3H0Ul6xqZexKU9L+N861j0sj6odhh3/oP4DY/g6DWJ2qlLoJPz6y+ZRMPrr542PXPdoQqSYnUMSe+6+fenopUlLs5NZt3BitPWxw8WDcN/AR4Xps0L0Lgbqb38BdB2Pq01VhvH9KyrmJ51FUfrjrAqfwWfFaxiY8k6zHoLE3pMZFLPSxmaOLxT4UJB4AjB72aoqorjizXoRp6LFJ9ARWM564u/4PPCT9lTvQsNGoYnjWR2zk+Y0OMSvznzHTSC2G2Lifv6GRw5U6m97IVOiz2AYeJkGl57Bce6tcRce+JkboPLw6bDlUwZaEUOUs56tHDpACsr95Ty9bEqxuWE7tNLw6hfoepiiF//MOaPbqFm6svt2sj1R+/4PvzqnLv4xYDb2VK2mTWFn/Fp/kcsP/4frMZULkmfzOSeU+iXMEDE+0OIEPxuhvv7nSgF+fwwbQjvbv4Vu6p2oqLSx5TDbQPuYFLPKaTGpIXOAI8L0/oHidnzDo39r6Fu0p87FSI4GW2fXOTefXCs+ayF4K89UE69y9Ol6+e0xZheicQbtHy2ryykgg/QOPSnqNoY4tfeh+U/M6md/hqKqWMZWW2hk3TNG70N7nq+LNnI50Wf8Z+j7/HekXfIjM1iUs8pXJw+kd6mHCH+QUYIfjehtKGE9cVfkPDG6wzSwfyEz+jpyuXmfj9nQo+J9I4/fWZLMNE4akn49Ffoj6/DPvr/UX/+vUHvqWq47Arql7yA+/ix5mJqK3eX0NNsZESGOahrRQM6WWJy/xQ+/qGUeye6iTeG9lfWcc4s1JgU4j+9A8v7M6iZ/gYea+CZXu0hRhvL5IzLmJxxGbXOWtYXr2VN0We8efA1/nnwH2TEZjb36j3HMliEfYKARlVVNdJGtEVZWedrgoebgA8hdRJFVThYu5/NpZv4qnQT+2r2YnCqvLxYpeLcfiTOezJs1Q4tlljqDnyD+ePbkGwF2C5+isZBc0KyllJRTuXMGRh/PAvTnXdTWNPI1a9s4ecXZPPLi3qHZM3TEa6fM3i7X9301nbum5TL9SPDk4Ukl+/BvPJmpMZq6i5eiGPgdWF75orGcjaVbGBjyTq2V2zDo3pINqRwYdp4xqVNYETyqBYVV0NJOH/OwcRqPX2oVgh+kAnlG6TB3cC3FVv5qnQTX5V+SYWjHA0aBiUOYaz1IiZ+XY/u7//A/OIr6EJYMK0FqkrisQ+QP/49ivH/t3fm8VWU9/5/z9mX7BtLWAJhLTEsMQil0SKvlKXY30UICSAWxFu9l9parIXKBbkKKFtppQrqT3u9VCsIWInyolRSWZU97GuAsJP9JCc5+8z94ySHhAACyTknJM/79ZrXnDnzzMz3mXPmM9/nO898nwjKf7Icd9v+fj1k+awZuPbvJWrtlyz99jKrc6/wxbP9aRXA/veBFoKn/7ofu1tm1c9TAhbmkCoLCPvnVHSXv8XWMxPNE0soqwzIoX1YXRXsKviWbde3sLvwO+weGyaNiX7RqfSPHUD/2AF+DVE2N8EXIZ0mjNeLP83+oj3sK97DoZKDuGQnJo2J1JgBDIwbRP/YAUToI1HcbkpfGY3qod4BE3upsoDQLb9Hc+4fONulUZ6+DMXkn+6DtTFmZOH8JoeydWv5oiiB9O6xARX7YJDZN545G0+y7WxJwLqeKuY4LD/7G6Y9SzHtfQsK9qP58eK7TonRGIRoQ31hH4fHwb6iPewq2Mmuwm/Zfn0LAAkhnegfO5D+sQNIikxu9N5mzQnh4TcyDfEIFEXhqu2KV+CL9nKgeB/lLm+K3E4hnekXk8rAuEE8FNW7XpPWvuFLrG+8Rui8hegf/XFDq/F9hqI/tZaQbXOQ3DbkH8+kpNvPQRW4EabKXnieirPnyHzsd/zl54/c04DfjUGgPT+3rDDmwz2EGTR8NKFvwB9mai9uI/ybl6H8Mrbez1L5yMugDV7qBEVRyLeeZ3fht+wu/I5DJbm4FTd6lZ6kyGR6R/elT1Q/ukf0bFD4p7l5+ELwG5l7+YN4ZDdnK/I4XHqIo6WHOFx6iCJ7IQAxhlhSolNJiUmlb3QK0Ybbe86K3U7p+DGoYmIJf/dDv4qBpuAQIdtmo722F1erflQM+QOhnZIDflEUbd8Jv3+RrY+N5cm5vw3osSE4QrD+8DVe33SK+SN7kt49NqDHBogwenBvnIXxyP/iMbemcuDvvTmRmsDDVJu7iv3F+zhQvJfc4gOcrTgDgEFtoFfkQ/SJ6kdyVB+6hfdAfw8pJITgB5DmJviljhJOWU5ywnKMI6WHOFZ6FJvHWzbWEFedirY3KTEP097c8a6Fu/L/r8D20YeE//ldtL37NlpdaqMuPYNp71voT32OYoymcsAM7D3HgqQKykXxX18dZ8BHC3mkJI+ojz9D3cqPXU1vQTDq7JYVJn18gJIqJ59NfhizLrAR2Zo6a67uJWT7q2gLDuKK601V/5dwdhjc6D2yGoLFaeFgyQEOFu/nYMkBzlbkAaCW1CSGdqVnZC9+ENGLnhG9iDe1u+21JgQ/gDzIgl8j7qfKT3jnlhMU2gsAkJDoFJrIQ5HJJEUmkxSVTCtj6/s6nuvYUSz/+Sz69GGEzny1MasCeHtrmPa/jf70etAYsD00iaqUF1D0N95oDfRFsflUITOyj/NiDyNDl05Dm5RM2JK3kNSBCykFSwiOXC3nmU9yGdmrFbOHdQ/osevUWZHRn1yHedci1NbLuGKTqXr4BZwJPwloaO9uKXOUcqzsKMfLjnCs7Cgnyo77nK0wbTjdw3uQGNaVLmFdSQzrSjtze9SSWgh+IHkQBL/CVc75inOct57jfMVZLtkvcKb0DKXOEl+ZduYOdAvrTrfw7nQL70GXsG6EaBsec5aLiih7bjJIEhH/8wmqkEaKY7tt6PO+wnhkJdpr+1A0JmzJk6jq8xyKsf4Dw0BeFHlFlUz5Wy4dIo18OK4P7o1fYn1zLsanJ2P+9/8IiA0QXM9v+fZzfLjrIjPTu/JvyY37YtSduGWdPU4MJ9dh2rcMdXk+npB47L3GY++ZhWwObKvrXvAoHi5Yz3Os7CjHSo9wuvwk5yvO4VbcAOhVehJCO/ODmJ7E6zvSwdyRDiEdiTXEPRAvgwnBbwA2dxVXqi5zufKSd17lnV+w5lPsKPKVM6iNJIZ3pp2xI51DE33ibtY23ivqNcilpVheegHPpYtE/Pk9NN0a6O257egubkV/JhvduX+icllxR3TG3msi9h5j7jhIRqDE72Kpjf/87BAuWeF/xvehdZgBRVGwLpiH46v1mF/4Dcax/un/fzPBFHyPrPDrdYfZe6GMeSN7MqRbYOL5d6yz7EZ3diPGox+ju7QNRVLjiv8hjsSf4ug8LCC9txqKS3ZxwZpPXvlpzpSf4kzFac5V5GFx3hhb2KA20t7cgQ4h3ptA+5AOtDa2obWxDeG6iCZzMxCCfxs8iocSRwlF9gIKbQUU2gsotBdSaC+gwH6dK5WXKHWW1tkmXBdBW1M87c0dSAjpREJoJxJCOhNnbEVUZIjfhcB95jTls2YgFxYQNm8hukduPTbpHVFk1MUn0F3ajvbSdnSXv0NyVyHrI3AkDsfR9d9wxf/wruKygRC/vRfKmPnVcWQF/jz6oTq9chS3m4o5/4VzSw6GjCzMz/8SSeffrnnBbupXOT38cs1hjl4rZ+qPOvFUajtUfhabu62zquwchhOr0Z/5Eo3lHIqkwh3XB2e7QbjiB+Fqk/K94xg3FcLDjZwruMQFa753qsznojWfi5UXuG67hsIN+TSojbQ2tqa1sQ2tTN6bQCtja2L0MUQZoonWx9zTA+OGEHDBl2WZOXPmcPLkSXQ6HXPnzqVjx46+9Tk5Obz99ttoNBpGjx7N2LFj6+3jfgXfo3gotBdgcZRR6izF4iyjzFlGmbOUMkepd+4so8RRTLGjGFnx1Nlep9IRa4gj1hBHW1M8bc3xtDW18342xd8xHONPIZAryrF9/L/YVv8NKTSMsNffRJvc+/s3dNtQW/LRlJxEU3AITeFhNIWHUTm959cdkYir3Y9wdErHFT/onnPf+LPOBRUO3v82ny8OX6N9pJEl/68XCdH1uwMqbjeVb/8J+5pVqDsmYP7li2gfGeg3jyvYgg/epHH/vfEkm08V8VCbUF78cSLJbf2XLfSe66woqEtOoM/bgO7iNjTXDyApHhSVDndMT9wxSbhjH8Id8wM8kYko+qaXGuNOdbZ77FyuvMQ121Wu265yreoq12zXuGa7wrWqa1jd9fUrRBNKtCGaKL33BhBtiCFCF0m4LpxwbYR3rosg2hCDQX3/GUsDLvibNm0iJyeHN998k9zcXN59912WL18OgMvlYsSIEaxZswaj0ci4ceNYsWIFsbF1m6b3K/iLD7/BhovZ9b7XqnRE6CII10UQqYskUh/lE/ZYQxyxxlhiDXGEacPvWygaWwg8RYW4cw/g/HYHji054HSi/8kwzFNfRBURAW4bKnspqsrrqKoKq6cCVJXXUVvOo7acQ2W9ilTtiShqPe7oHrhjk3G17oer3SDkkLYNsrEx66woClfK7ey/aGFrXjHbzpYgARl92vIfP0rAqL3zA0HntzuwLl2IfPUq6oRO6AYPQffID9F06YqkbzzvqikIPnjP14ZjBfxpy1lKbS5+0DqUIV1jGJAQSedoE5pGTKnc0DpLTivaK7vQXvnuhtPhuBEukQ1ReMIT8IQnIIe0RTbF4jG3QjbFIZtiUYxRKNqQgD4Ubkidra4KrtuuU+IoothRTIm9mCJHkW+52O6du2RnvW2j9TGsfvyL+9ahgAv+G2+8QXJyMj/96U8BSEtLY9u2bQCcOHGCRYsW8cEHHwAwf/58+vbty/Dhw+vs434F/9C+bK5s/ztGdBgkLQZFixEtWtR4T58C1dWWqueKovhEEVnxlqm9HsX7ueZ0+U5b9ffV5dUqFR63p1aZuvvxfafUbCt7J7cLld2JZHcg2Z1I5XYoc4Dd+xAJnYQ+UY+5u4Ip3IbOU4nWXYkK+ZbnwKaNpNzQDouxPZbqeZmxE6WmzsgqDTf/6Df/C75vfe0SRqOOqirnbdbebn8KdpdMhcNNhcON1eHmisXOxTIbVof3/EWbdQzvGceYPm2ID7/7EIDicuHY/E/s6z/HfeSQ13i1GnW7Dqji4lBFR6OKiAS9AclQPel0oFJ5Q1iSClQSIFV/B5JUs857DJNJT1WV465t8jcOt8z+ixb2XCjjaoUdALVKItasJ8ygIVSvwaxTo1VLaNUqtGoVGpXkrZIkUV1bbwRP8vYkq5GaGtHR6zU4HO7GM1pR0LtKCbFdweAsxuAswujwznXuClQ3tbxrcKsMeNT66rkBj0qHImmQJQ2yqnouaVBUGmRJiyypAQlFUqFIEqCqXpZQ8P6uSvV6fHMvWo0al9uDws3CewchvqNIVyuQ5DsFuPBgV1zYcWLHhUNxoWmXwONPvvI9J/D2BDy1gtVqJaRWrxG1Wo3b7Uaj0WC1WgkNvWGQ2WzGarXW20dIiB6N5t7v5nHL/kTbvPL7MzyYqBRUWgVJqyCZQGoLcqgKT6waZ4SWYsmIFRPWKiMVipEKjFgVIxZCKFAiKFTCKVQiKCYMt10Dt7xfng9wpe6MQasizKAlRK+hbYSBlIQousSG0D8hksTYEFT3m98+awxkjcFTUoJt3z4cJ07gzDuDu7AQT+5+nGVlKHb7fdvdNLoT1CWpenpQkYFKoBIVcDfhHVf1dHtU1VNDCEaiBkl7gIhn5jb6fv0m+CEhIVRW3si0JMsymurxVW9eV1lZWecGUIPVen8eVMRbn1F68DuA6jt6LQ+t2pdRVNU+zA2XBlRS9Z3c69lVb+m940tSddFa+5GkOp8llQqzWU9llcPrOYDXQ6ze/w0v0etdSEig0iCrdaDRIxnrxuxqS13NJVD7Mri5uVfPB7npi3rS2cDta3zAsHAj5RZbvQLftz+jVn3HUZzKy223XXfXqAyQOgh16iBubiMoigJOB4rdjuJweJshiux1uxQFZO9npfZyNWFhxsaxL8AoKLjcCg63jFOWvVXFey5qqqkAcq2WbQ1mk4HKqvu/SQaN6t9UUuTqz3J1a15GUjy11ineZW609o1GHbZ6LTnlNp+5VVO4Xtkbrf3b7RNM7Ts3KHwWcA+/X79+/Otf/2LEiBHk5ubSrduNcVITExPJz8+nrKwMk8nE3r17mTJlSqMd2xAWSZu04d9f0A80ldhuIIkw61C5GrGpHyAkSfKGdfT3/nBMF2FC84D+zlrgfrLgtMj/djOrs98EPz09nR07dpCVlYWiKMyfP5/s7GyqqqrIzMxkxowZTJkyBUVRGD16NK0C/Gq8QCAQtDRafD/8xqa5eQR3g6hzy0DU+cHhdiGd4Ke5EwgEAkFAEIIvEAgELQQh+AKBQNBCEIIvEAgELQQh+AKBQNBCaNK9dAQCgUDQeAgPXyAQCFoIQvAFAoGghSAEXyAQCFoIQvD9RF5eHikpKTgcTSeFrr+oqKjg+eef56mnniIzM5MDBw4E2yS/Icsys2fPJjMzk4kTJ5Kfnx9sk/yOy+Xi5ZdfZvz48YwZM4bNmzcH26SAUFxczGOPPUZeXl6wTWk0/JZLpyVjtVpZsGABOj8Ps9dU+Mtf/sKAAQOYNGkSZ8+e5aWXXuLzzz8Ptll+4euvv8bpdLJq1Spyc3N58803fQP7NFfWr19PREQEixYtorS0lFGjRjFkyJBgm+VXXC4Xs2fPxmC4/1GnmiLCw29kFEVh1qxZTJs2DaPxwRi3s6FMmjSJrKwsADweD/pGHFmqqbFv3z7S0tIA6NOnD0eOHAmyRf5n2LBh/PrXv/Ytq9WBG3EqWCxYsICsrCzi4uKCbUqjIjz8BvDZZ5/x0Ucf1fmubdu2jBgxgh49egTJKv9yqzrPnz+f5ORkCgsLefnll3nllfsfqaepc6eBfZorZrMZ8Nb9V7/6FS+++GKQLfIv69atIyoqirS0NN57771gm9OoiH74jUx6ejqtW7cGIDc3l+TkZD7++OMgW+V/Tp48ybRp0/jd737HY489Fmxz/MYbb7xB7969GTFiBACPPvooW7duDbJV/ufq1atMnTrVF8dvzkyYMME77KMkcfz4cRISEli+fHm9MbcfSBSB3xg8eLBit9uDbYbfOX36tDJ06FDl+PHjwTbF72zcuFGZPn26oiiKcuDAAWXKlClBtsj/FBYWKsOGDVN27twZbFMCzlNPPaWcOXMm2GY0Gs23HSoIGEuWLMHpdDJv3jzAO4Rlc32QeauBfZo7K1asoLy8nHfeeYd33nkHgPfff7/ZPdBsCYiQjkAgELQQRC8dgUAgaCEIwRcIBIIWghB8gUAgaCEIwRcIBIIWghB8gUAgaCEIwRc0a0pKSujevXuwzbgtM2fOZOfOnXcss2zZMl577bVbrnv88cc5fPiwP0wTNENEP3yBIIjUvLsgEAQCIfiCJsOuXbuYN28eJpOJyspK1q5dy8KFCzl48CCVlZUoisLcuXNJSUlhxowZhISEcPLkSa5du0b37t1ZsGABZrOZTZs2sXTpUoxGI0lJSXWO8fbbb/PVV1+hVqvp1KkTs2bNIjY2lokTJ9KrVy9yc3MpKSlh7NixFBUVsXv3bmw2G3/84x/rtRSysrKYPHkyQ4cOBWDRokUATJ06lTlz5pCfn09ZWRlms5nFixfTuXNnJk6cSHh4OGfPnmXcuHFs2rSJCRMmMGzYMFasWMHmzZux2+3YbDamT59Oeno64E23PWHCBCwWCz179uTVV1+tk9MHICcnh+XLl+NyuTAYDEyfPp2+ffv66+cSPICIkI6gSXH69GmWLFlCdnY2R48epaCggFWrVrFhwwZGjRrF+++/7yt75MgRPvjgAzZs2MDly5fZuHEjRUVFvPLKKyxbtox169YRHx/vK7927Vq2bdvGmjVryM7OpmvXrsyYMcO3/vLly3z66acsWrSIRYsW0b9/f9atW0daWhp//etf69makZHBunXrAG+W0PXr15ORkcHWrVsJCwtj1apV/OMf/yApKalOPqWwsDA2bNjAxIkT6xx7586drFy5kuzsbH7zm9/w1ltv+dZfuHCBZcuWkZ2djaIo9d5kPn/+PEuXLuW9997j73//O6+//jovvPACVVVVDfg1BM0N4eELmhRt2rTxiXTfvn0JDw/n008/5eLFi+zatcuXuREgLS3NN+ZAt27dsFgs7Nu3j27dutGlSxcAMjMz+cMf/gDA1q1befLJJzGZTAA8/fTTrFixAqfTCeDzptu3b+/bP0CHDh3YvXt3PVtHjBjBwoULKSws5NixYyQkJPim9u3bs3LlSvLz89m9e3cdT/vhhx+ut6/4+HgWLlxIdnY2+fn5vlZNDenp6URFRQEwevRoFi5cWGf7HTt2UFBQwKRJk3zfSZLEhQsXmm3mVsG9Izx8QZOiRowBvvnmG5577jkAhgwZwrhx4+qUrZ3LRZIkarKE1M4WUjttsSzLSJJUZ9ntdvuWbx6wRqvV3tFWo9HI0KFD+fLLL1m7di0ZGRkAfPLJJ8ycORODwcATTzzByJEj69hUu441HD16lMzMTKxWK4MGDeLZZ5+ts752DnpZluulY5ZlmYEDB/LFF1/4ptWrV9O1a9c71kHQshCCL2iy7Nixg8GDBzN+/HiSkpL4+uuv8Xg8d9wmNTWVM2fOcOLECQBfyAW8HvvatWt9YY6VK1eSmpraoJHJxo4dy+eff87+/ft9sfzt27czatQoMjIy6NSpEzk5Od9r9549e0hKSmLy5Mn079+fzZs319kmJycHi8WCx+Nh9erVPProo3W2HzhwIDt27PANx7dlyxZ+9rOfYbfb77tuguaHCOkImixZWVm89NJLPPHEE7jdbgYNGsSmTZuQZfm220RFRbF48WJ++9vfotVqSU1N9a0bM2YMV69eJSMjA1mW6dixI4sXL26QjUlJSajVaoYNG+Yb6euZZ55h9uzZrFmzBvCOjHXq1Kk77mfkyJFs2rSJ4cOHI8sygwcPxmKxYLVaAUhMTOS5556jvLyclJQUfvGLX9TZvkuXLrz22mtMmzYNRVHQaDQsX768TghMIBDZMgUCgaCFIEI6AoFA0EIQgi8QCAQtBCH4AoFA0EIQgi8QCAQtBCH4AoFA0EIQgi8QCAQtBCH4AoFA0EIQgi8QCAQthP8DYHjSBMRetl0AAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.style.use('seaborn-darkgrid')\n", "x = np.linspace(-5, 5, 1000)\n", "mus = [0., 0., 0., -2.]\n", "sigmas = [0.4, 1., 2., 0.4]\n", "for mu, sigma in zip(mus, sigmas):\n", " pdf = stats.norm.pdf(x, mu, sigma)\n", " plt.plot(x, pdf, label=r'$\\mu$ = '+ f'{mu},' + r'$\\sigma$ = ' + f'{sigma}') \n", "plt.xlabel('random variable', fontsize=12)\n", "plt.ylabel('probability density', fontsize=12)\n", "plt.legend(loc=1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### D. Is this a Fair Coin?\n", "\n", "Let's say you visit the casino in **Monte Carlo**. You want to test your theory that casinos are dubious places where coins have been manipulated to have a larger probability for tails. So you will try to estimate how fair a coin is based on a certain amount of flips.
\n", "You have no prior opinion on the coin's fairness (i.e. what $p$ might be), and begin flipping the coin. You get either Heads ($H$) or Tails ($T$) as our observed data and want to see if your posterior probabilities change as you obtain more data, that is, more coin flips. A nice way to visualize this is to plot the posterior probabilities as we observe more flips (data). " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will be using Bayes rule. $\\textbf{D}$ is our data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\\begin{equation}\n", "\\label{eq:bayes} \n", "P(\\theta|\\textbf{D}) = \\frac{P(\\textbf{D} |\\theta) P(\\theta) }{P(\\textbf{D})} \n", "\\end{equation}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the case of a coin toss when we observe $k$ heads in $n$ tosses:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\\begin{equation}\n", "\\label{eq:bayes} \n", "P(\\theta|\\textbf{k}) = Beta(\\alpha + \\textbf{k}, \\beta + n - \\textbf{k}) \n", "\\end{equation}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "we can say that $\\alpha$ and $\\beta$ play the roles of a \"prior number of heads\" and \"prior number of tails\"." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# play with the priors - here we manually set them but we could be sampling from a separate Beta\n", "trials = np.array([0, 1, 3, 5, 10, 15, 20, 100, 200, 300])\n", "heads = np.array([0, 1, 2, 4, 8, 10, 10, 50, 180, 150])\n", "x = np.linspace(0, 1, 100)\n", "\n", "# for simplicity we set a,b=1\n", "\n", "plt.figure(figsize=(10,8))\n", "for k, N in enumerate(trials):\n", " sx = plt.subplot(len(trials)/2, 2, k+1)\n", " posterior = stats.beta.pdf(x, 1 + heads[k], 1 + trials[k] - heads[k]) \n", " plt.plot(x, posterior, alpha = 0.5, label=f'{trials[k]} tosses\\n {heads[k]} heads');\n", " plt.fill_between(x, 0, posterior, color=\"#348ABD\", alpha=0.4) \n", " plt.legend(loc='upper left', fontsize=10)\n", " plt.legend()\n", " plt.autoscale(tight=True)\n", " \n", "plt.suptitle(\"Posterior probabilities for coin flips\", fontsize=15);\n", "plt.tight_layout()\n", "plt.subplots_adjust(top=0.88)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " [Top](#top)\n", "\n", "## 2. Introduction to `pyMC3`\n", " \n", "PyMC3 is a Python library for programming Bayesian analysis, and more specifically, data creation, model definition, model fitting, and posterior analysis. It uses the concept of a `model` which contains assigned parametric statistical distributions to unknown quantities in the model. Within models we define random variables and their distributions. A distribution requires at least a `name` argument, and other `parameters` that define it. You may also use the `logp()` method in the model to build the model log-likelihood function. We define and fit the model.\n", "\n", "PyMC3 includes a comprehensive set of pre-defined statistical distributions that can be used as model building blocks. Although they are not meant to be used outside of a `model`, you can invoke them by using the prefix `pm`, as in `pm.Normal`. \n", "\n", "#### Markov Chain Monte Carlo (MCMC) Simulations\n", "\n", "PyMC3 uses the **No-U-Turn Sampler (NUTS)** and the **Random Walk Metropolis**, two Markov chain Monte Carlo (MCMC) algorithms for sampling in posterior space. Monte Carlo gets into the name because when we sample in posterior space, we choose our next move via a pseudo-random process. NUTS is a sophisticated algorithm that can handle a large number of unknown (albeit continuous) variables." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "#help(pm.Poisson)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " [Top](#top)\n", "\n", "## 3. Bayesian Linear Regression" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Defining the Problem" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our problem is the following: we want to perform multiple linear regression to predict an outcome variable $Y$ which depends on variables $\\bf{x}_1$ and $\\bf{x}_2$.\n", "\n", "We will model $Y$ as normally distributed observations with an expected value $mu$ that is a linear function of the two predictor variables, $\\bf{x}_1$ and $\\bf{x}_2$.\n", "\n", "\\begin{equation}\n", "Y \\sim \\mathcal{N}(\\mu,\\,\\sigma^{2})\n", "\\end{equation} \n", "\n", "\\begin{equation}\n", "\\mu = \\beta_0 + \\beta_1 \\bf{x}_1 + \\beta_2 x_2 \n", "\\end{equation}\n", "\n", "where $\\sigma^2$ represents the measurement error (in this example, we will use $\\sigma^2 = 10$)\n", "\n", "We also choose the parameters to have normal distributions with those parameters set by us.\n", "\n", "\\begin{eqnarray}\n", "\\beta_i \\sim \\mathcal{N}(0,\\,10) \\\\\n", "\\sigma^2 \\sim |\\mathcal{N}(0,\\,10)|\n", "\\end{eqnarray} \n", "We will artificially create the data to predict on. We will then see if our model predicts them correctly." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Artificially creating some data to test our model." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "np.random.seed(123)\n", "\n", "# True parameter values < --- our model does not see these\n", "sigma = 1\n", "beta0 = 1\n", "beta = [1, 2.5] \n", "\n", "# Size of dataset\n", "size = 100\n", "\n", "# Predictor variable\n", "x1 = np.linspace(0, 1., size)\n", "x2 = np.linspace(0,2., size)\n", "\n", "# Simulate outcome variable\n", "Y = beta0 + beta[0]*x1 + beta[1]*x2 + np.random.randn(size)*sigma" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mpl_toolkits.mplot3d import Axes3D\n", "fig = plt.figure()\n", "fontsize=14\n", "labelsize=8\n", "title='Observed Data (created artificially by ' + r'$Y(x_1,x_2)$)'\n", "ax = fig.add_subplot(111, projection='3d')\n", "\n", "ax.scatter(x1, x2, Y)\n", "ax.set_xlabel(r'$x_1$', fontsize=fontsize)\n", "ax.set_ylabel(r'$x_2$', fontsize=fontsize)\n", "ax.set_zlabel(r'$Y$', fontsize=fontsize)\n", "\n", "ax.tick_params(labelsize=labelsize)\n", "\n", "fig.suptitle(title, fontsize=fontsize) \n", "fig.tight_layout(pad=.1, w_pad=10.1, h_pad=2.)\n", "#fig.subplots_adjust(); #top=0.5\n", "plt.tight_layout\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's see if our model will correctly predict the values for our unknown parameters, namely $b_0$, $b_1$, $b_2$ and $\\sigma$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "\n", "#### Defining a Model in PyMC3" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "from pymc3 import Model, Normal, HalfNormal, model_to_graphviz\n", "from pymc3 import NUTS, sample, find_MAP\n", "from scipy import optimize" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Building the model\n", "\n", "**Step1:** We choose the probability model for our experiment. \n", "\n", "```\n", "Y_obs = Normal('Y_obs', mu=mu, sd=sigma, observed=Y)\n", "```\n", "\n", "**Step2:** Choose a prior distributions of the two rates, what we believe the rates were before we observed the data, and the switchpoint. \n", "```\n", " beta0 = Normal('beta0', mu=0, sd=10)\n", " # Note: betas is a vector of two variables, b1 and b2, (denoted by shape=2)\n", " # so, in array notation, our beta1 = betas[0], and beta2=betas[1]\n", " betas = Normal('betas', mu=0, sd=10, shape=2) \n", " sigma = HalfNormal('sigma', sd=1)\n", "```\n", "\n", "**Note:** Watch for missing values. Missing values are handled transparently by passing a MaskedArray or a pandas.DataFrame. Behind the scenes, another random variable, disasters.missing_values is created to model the missing values. If you pass a np.array with missing values you will get an error." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "with Model() as my_linear_model:\n", "\n", " # Priors for unknown model parameters, specifically created stochastic random variables \n", " # with Normal prior distributions for the regression coefficients,\n", " # and a half-normal distribution for the standard deviation of the observations.\n", " # These are our parameters.\n", " \n", " beta0 = Normal('beta0', mu=0, sd=10)\n", " # Note: betas is a vector of two variables, b1 and b2, (denoted by shape=2)\n", " # so, in array notation, our beta1 = betas[0], and beta2=betas[1]\n", " betas = Normal('betas', mu=0, sd=10, shape=2) \n", " sigma = HalfNormal('sigma', sd=1)\n", " \n", " # mu is what is called a deterministic random variable, which implies that its value is completely\n", " # determined by its parents’ values (betas and sigma in our case). \n", " # There is no uncertainty in the variable beyond that which is inherent in the parents’ values\n", " \n", " mu = beta0 + betas[0]*x1 + betas[1]*x2\n", " \n", " # Likelihood function = how probable is my observed data?\n", " # This is a special case of a stochastic variable that we call an observed stochastic.\n", " # It is identical to a standard stochastic, except that its observed argument, \n", " # which passes the data to the variable, indicates that the values for this variable were observed, \n", " # and should not be changed by any fitting algorithm applied to the model. \n", " # The data can be passed in the form of either a numpy.ndarray or pandas.DataFrame object.\n", " \n", " Y_obs = Normal('Y_obs', mu=mu, sd=sigma, observed=Y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note: If our problem was a classification for which we would use Logistic regression see [below](#LR) " ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "%3\n", "\n", "\n", "cluster2\n", "\n", "2\n", "\n", "\n", "cluster100\n", "\n", "100\n", "\n", "\n", "\n", "beta0\n", "\n", "beta0 ~ Normal\n", "\n", "\n", "\n", "Y_obs\n", "\n", "Y_obs ~ Normal\n", "\n", "\n", "\n", "beta0->Y_obs\n", "\n", "\n", "\n", "\n", "\n", "sigma\n", "\n", "sigma ~ HalfNormal\n", "\n", "\n", "\n", "sigma->Y_obs\n", "\n", "\n", "\n", "\n", "\n", "betas\n", "\n", "betas ~ Normal\n", "\n", "\n", "\n", "betas->Y_obs\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "## do not worry about this, it's just a nice graph to have\n", "## you need to install python-graphviz first\n", "# conda install -c conda-forge python-graphviz\n", "model_to_graphviz(my_linear_model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Fitting the Model with MAP (FYI, we will not directly use this method)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In Bayesian analysis we have our **prior(s)**, we define our **likelihood**, and, having specified our **model**, we try to calculate posterior estimates for the unknown variables in the model. We could try to calculate the posterior estimates analytically, but for most the models, this is not feasible. What we do then is compute summaries based on samples drawn from the posterior distribution using Markov Chain Monte Carlo (MCMC) sampling methods. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\\begin{equation}\n", "\\label{eq:beta} \n", "P(\\theta|\\textbf{D}) \\rightarrow \\{\\theta_1,....\\theta_n\\}\n", "\\end{equation}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then we can find any estimate we want by using these samples, for example:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\\begin{equation}\n", "\\mathbb{E}[f(\\theta] = \\int d\\theta{p(\\theta) f(\\theta)} \n", "\\end{equation}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So we calculate the maximum a posteriori **(MAP)** point using optimization methods." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\\begin{equation}\n", "f(\\hat{\\theta}), \\hat{\\theta} = argmax ({p(\\theta))} \n", "\\end{equation}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The maximum a posteriori **(MAP)** estimate for a model, is the mode of the posterior distribution and is generally found using numerical optimization methods. This is often fast and easy to do, but only gives a point estimate for the parameters and can be biased if the mode isn’t representative of the distribution. PyMC3 provides this functionality with the find_MAP function. \n", "\n", "**MAP estimate** is not always reasonable, especially if the mode is at an extreme or we have a multimodal distribution, or we have high dimensional posteriors. This will often occur in hierarchical models with the variance parameter for the random effect. If the individual group means are all the same, the posterior will have near infinite density if the variance parameter for the group means is almost zero. Most techniques for finding the MAP estimate only find a local optimium (which is often good enough), and can therefore fail badly for multimodal posteriors, as mentioned above.\n", "\n", "To solve these issues we turn to sampling as our method for finding the posterior.\n", "\n", "You do not have to worry about **MAP** in our problems. Our pyMC3 models use the MAP method to initialize the variables under the hood and we do not have to explicitly set this. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Fitting the Model with Sampling - Doing Inference" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "See below for PyMC3's sampling method. As you can see it has quite a few parameters. Most of them are set to default values by the package. For some, it's useful to set your own values.\n", "```\n", "pymc3.sampling.sample(draws=500, step=None, init='auto', n_init=200000, start=None, trace=None, chain_idx=0, chains=None, cores=None, tune=500, progressbar=True, model=None, random_seed=None, discard_tuned_samples=True, compute_convergence_checks=True, **kwargs)\n", "```\n", "\n", "Parameters to set:\n", "\n", "- **draws** (int): number of samples to draw, defaults to 500. \n", "- **tune** (int): number of iterations to tune, defaults to 500. \n", "- **target_accept** (float in $[0, 1]$). The step size is tuned such that we approximate this acceptance rate. Higher values like 0.9 or 0.95 often work better for problematic posteriors.\n", "- (optional) **cores** (int) number of chains to run in parallel, defaults to the number of CPUs in the system, but at most 4.\n", "\n", "`pm.sample` returns a `pymc3.backends.base.MultiTrace` object that contains the samples. We usually name it `trace`. All the information about the posterior is in `trace`, which also provides statistics about the sampler." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "## uncomment this to see more about pm.sample\n", "#help(pm.sample)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "#help(pm.backends.base.MultiTrace)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Starting MCMC process\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [sigma, betas, beta0]\n", "Sampling 4 chains, 0 divergences: 100%|██████████| 12000/12000 [01:19<00:00, 150.72draws/s]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "DONE\n" ] } ], "source": [ "with my_linear_model:\n", " \n", " print(f'Starting MCMC process')\n", " # draw 2000 posterior samples and run the default number of chains = 4 \n", " trace = sample(2000, tune=1000, target_accept=0.9) \n", " print(f'DONE')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Model Plotting\n", "\n", "PyMC3 provides a variety of visualizations via plots: [https://docs.pymc.io/api/plots.html](https://docs.pymc.io/api/plots.html).\n", "\n", "One of them is the `traceplot`, another is the `compareplot`. " ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pymc3 import traceplot, compareplot, plot_posterior, forestplot\n", "traceplot(trace);" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "#help(pm.Normal)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['beta0', 'betas', 'sigma_log__', 'sigma']" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "trace.varnames" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "axes = pm.plot_forest(trace, kind='forestplot',\n", " var_names=['beta0', 'betas', 'sigma'],\n", " combined=True,\n", " ridgeplot_overlap=3,\n", " figsize=(20, 3))" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot individual parameters which maybe do not show \n", "# well in combined plot due to scaling\n", "varname = ['sigma']\n", "pm.plot_forest(trace, varnames=varname, combined=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$\\hat{R}$ is a metric for comparing how well a chain has converged to the equilibrium distribution by comparing its behavior to other randomly initialized Markov chains. Multiple chains initialized from different initial conditions should give similar results.\n", "If all chains converge to the same equilibrium, $\\hat{R}$ will be 1. If the chains have not converged to a common distribution, $\\hat{R}$ will be > 1.01. $\\hat{R}$ is a necessary but not sufficient condition.\n", "\n", "For details on the $\\hat{R}$ see *Gelman and Rubin (1992)*. " ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "#help(pm.backends.base.MultiTrace)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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meansdhpd_3%hpd_97%mcse_meanmcse_sdess_meaness_sdess_bulkess_tailr_hat
beta01.0080.2250.5891.4270.0030.0024838.04817.04850.04290.01.0
betas[0]0.9689.197-16.35118.6520.1710.1312890.02476.02900.02882.01.0
betas[1]2.5364.600-6.21611.2960.0850.0672902.02349.02913.02897.01.0
sigma1.1470.0841.0001.3050.0010.0014293.04254.04339.04027.01.0
\n", "
" ], "text/plain": [ " mean sd hpd_3% hpd_97% mcse_mean mcse_sd ess_mean ess_sd \\\n", "beta0 1.008 0.225 0.589 1.427 0.003 0.002 4838.0 4817.0 \n", "betas[0] 0.968 9.197 -16.351 18.652 0.171 0.131 2890.0 2476.0 \n", "betas[1] 2.536 4.600 -6.216 11.296 0.085 0.067 2902.0 2349.0 \n", "sigma 1.147 0.084 1.000 1.305 0.001 0.001 4293.0 4254.0 \n", "\n", " ess_bulk ess_tail r_hat \n", "beta0 4850.0 4290.0 1.0 \n", "betas[0] 2900.0 2882.0 1.0 \n", "betas[1] 2913.0 2897.0 1.0 \n", "sigma 4339.0 4027.0 1.0 " ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Remember, the true (hidden) variables are: sigma, beta0, beta1, beta2 = 1,1,1,2.5 \n", "# We want R_hat < 1.3\n", "results = pm.summary(trace) \n", "results" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This linear regression example is from the original paper on PyMC3: *Salvatier J, Wiecki TV, Fonnesbeck C. 2016. Probabilistic programming in Python using PyMC3. PeerJ Computer Science 2:e55 https://doi.org/10.7717/peerj-cs.55*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " [Top](#top)\n", "\n", "## 4. Hierarchical Models\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Gelman et al.** famous radon dataset is a classic for hierarchical modeling. In this dataset the amount of the radioactive gas radon has been measured among different households in all county's of several states. Radon gas is known to be the highest cause of lung cancer in non-smokers. It is believed to be more strongly present in households containing a basement and to differ in amount present among types of soil. Here we'll investigate this differences and try to make predictions of radonlevels in different county's based on the county itself and the presence of a basement." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![aws-dog](../images/radon_house.jpg)" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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idnumstatestate2stfipszipregiontypebldgfloorroombasementwindoorrepstratumwavestarttmstoptmstartdtstopdtactivitypcterradjwtdupflagzipflagcntyfipscountyfipsUppmcounty_codelog_radon
05081.0MNMN27.0557355.01.01.03.0N24.041930.0930.012088.012288.02.29.71146.4991.00.01.0AITKIN27001.00.50200.833
15082.0MNMN27.0557485.01.00.04.0Y52.0401615.01615.011888.012088.02.214.5471.3660.00.01.0AITKIN27001.00.50200.833
25083.0MNMN27.0557485.01.00.04.0Y32.0421030.01515.020288.021188.02.99.6433.3170.00.01.0AITKIN27001.00.50201.099
35084.0MNMN27.0564695.01.00.04.0Y22.0241410.01410.0122987.0123187.01.024.3461.6240.00.01.0AITKIN27001.00.50200.095
45085.0MNMN27.0550113.01.00.04.0Y32.040600.0600.012888.013088.03.113.8433.3170.00.03.0ANOKA27003.00.42911.163
\n", "
" ], "text/plain": [ " idnum state state2 stfips zip region typebldg floor room basement \\\n", "0 5081.0 MN MN 27.0 55735 5.0 1.0 1.0 3.0 N \n", "1 5082.0 MN MN 27.0 55748 5.0 1.0 0.0 4.0 Y \n", "2 5083.0 MN MN 27.0 55748 5.0 1.0 0.0 4.0 Y \n", "3 5084.0 MN MN 27.0 56469 5.0 1.0 0.0 4.0 Y \n", "4 5085.0 MN MN 27.0 55011 3.0 1.0 0.0 4.0 Y \n", "\n", " windoor rep stratum wave starttm stoptm startdt stopdt activity \\\n", "0 2 4.0 41 930.0 930.0 12088.0 12288.0 2.2 \n", "1 5 2.0 40 1615.0 1615.0 11888.0 12088.0 2.2 \n", "2 3 2.0 42 1030.0 1515.0 20288.0 21188.0 2.9 \n", "3 2 2.0 24 1410.0 1410.0 122987.0 123187.0 1.0 \n", "4 3 2.0 40 600.0 600.0 12888.0 13088.0 3.1 \n", "\n", " pcterr adjwt dupflag zipflag cntyfips county fips Uppm \\\n", "0 9.7 1146.499 1.0 0.0 1.0 AITKIN 27001.0 0.502 \n", "1 14.5 471.366 0.0 0.0 1.0 AITKIN 27001.0 0.502 \n", "2 9.6 433.317 0.0 0.0 1.0 AITKIN 27001.0 0.502 \n", "3 24.3 461.624 0.0 0.0 1.0 AITKIN 27001.0 0.502 \n", "4 13.8 433.317 0.0 0.0 3.0 ANOKA 27003.0 0.429 \n", "\n", " county_code log_radon \n", "0 0 0.833 \n", "1 0 0.833 \n", "2 0 1.099 \n", "3 0 0.095 \n", "4 1 1.163 " ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = pd.read_csv('../data/radon.csv', index_col=[0])\n", "df['log_radon'] = df['log_radon'].astype('float')\n", "county_names = df.county.unique()\n", "county_idx = df.county_code.values\n", "\n", "n_counties = len(df.county.unique())\n", "df.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each **row** in the dataframe represents the radon measurements for **one house** in a specific county including whether the house has a basement (floor = 0) or not (floor = 1). We are interested in whether having a basement increases the radon measured in the house." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To keep things simple let's keep only the following three variables: `county`, `log_radon`, and `floor`" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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countylog_radonfloor
0AITKIN0.8331.0
1AITKIN0.8330.0
2AITKIN1.0990.0
3AITKIN0.0950.0
4ANOKA1.1630.0
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" ], "text/plain": [ " county log_radon floor\n", "0 AITKIN 0.833 1.0\n", "1 AITKIN 0.833 0.0\n", "2 AITKIN 1.099 0.0\n", "3 AITKIN 0.095 0.0\n", "4 ANOKA 1.163 0.0" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# keep only these variables\n", "data = df[['county', 'log_radon', 'floor']]\n", "data.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's check how many different counties we have. We also notice that they have a different number of houses. Some have a large number of houses measured, some only 1." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "ST LOUIS 116\n", "HENNEPIN 105\n", "DAKOTA 63\n", "ANOKA 52\n", "WASHINGTON 46\n", "Name: county, dtype: int64" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data['county'].value_counts().head(5)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "ROCK 2\n", "STEVENS 2\n", "MAHNOMEN 1\n", "WILKIN 1\n", "MURRAY 1\n", "Name: county, dtype: int64" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data['county'].value_counts()[-5:]" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# let's add a column that numbers the counties from 0 to n\n", "# raw_ids = np.unique(data['county'])\n", "# raw2newid = {x:np.where(raw_ids == x)[0][0] for x in raw_ids}\n", "\n", "# data['county_id'] = data['county'].map(raw2newid)\n", "# data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Pooling: Same Linear Regression for all\n", "\n", "We can just pool all the data and estimate one big regression to asses the influence of having a basement on radon levels across all counties. Our model would be:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\\begin{equation}\n", "y_{i} = \\alpha + \\beta*floor_{i} \n", "\\end{equation}\n", "\n", "Where $i$ represents the measurement (house), and floor contains a 0 or 1 if the house has a basement or not. By ignoring the county feature, we do not differenciate on counties." ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "with pm.Model() as pooled_model:\n", " # common priors for all\n", " a = pm.Normal('a', mu=0, sigma=100) \n", " b = pm.Normal('b', mu=0, sigma=100)\n", "\n", " # radon estimate\n", " radon_est = a + b*data['floor'].values\n", "\n", " # likelihood after radon observations\n", " radon_obs = pm.Normal('radon_obs', mu=radon_est, \n", " observed=data['log_radon']) # note here we enter the whole dataset" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "%3\n", "\n", "\n", "cluster919\n", "\n", "919\n", "\n", "\n", "\n", "a\n", "\n", "a ~ Normal\n", "\n", "\n", "\n", "radon_obs\n", "\n", "radon_obs ~ Normal\n", "\n", "\n", "\n", "a->radon_obs\n", "\n", "\n", "\n", "\n", "\n", "b\n", "\n", "b ~ Normal\n", "\n", "\n", "\n", "b->radon_obs\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model_to_graphviz(pooled_model)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [b, a]\n", "Sampling 4 chains, 0 divergences: 100%|██████████| 12000/12000 [00:03<00:00, 3812.52draws/s]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "DONE\n" ] } ], "source": [ "with pooled_model:\n", " \n", " pooled_trace = sample(2000, tune=1000, target_accept=0.9) \n", " print(f'DONE')" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(pooled_trace);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Remember, with the pooled model we have only one intercept, $\\alpha$, and only one slope, $\\beta$ for all the counties. Let's plot the regression lines." ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot just a subset of the countries\n", "counties = ['HENNEPIN','AITKIN','WASHINGTON', 'MURRAY', 'YELLOW MEDICINE', 'MAHNOMEN']\n", "\n", "plt.figure(figsize=(10,5))\n", "rows = 2\n", "gs = gridspec.GridSpec(rows, len(counties)//rows)\n", " \n", "for i, county in enumerate(counties):\n", " county_data = data.loc[data['county']==county]\n", " x = np.linspace(-0.2, 1.2) \n", " radon_est = pooled_trace['a'].mean() + pooled_trace['b'].mean()*x\n", " subplt = plt.subplot(gs[i])\n", "\n", " subplt.set_ylim(0.,4.)\n", " subplt.scatter(county_data['floor'], county_data['log_radon'])\n", " subplt.plot(x, radon_est, c='r', label='pooled line');\n", " subplt.set_xlabel('floor', fontsize=10)\n", " subplt.set_ylabel('radon level', fontsize=10)\n", " subplt.set_title(str(county) + ' County')\n", " subplt.legend()\n", " plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Unpooling: Separate Linear Regression for each county \n", "\n", "We believe that different counties have different relationships of radon and basements. Our model would be:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\\begin{equation}\n", "radon_{i,c} = \\alpha_c + \\beta_c*floor_{i,c} \n", "\\end{equation}\n", "\n", "Where $i$ represents the measurement, $c$ the county, and floor contains a 0 or 1 if the house has a basement or not. \n", "\n", "Notice we have separate coefficients for each county in $a_c$ and $b_c$. They are totally different, they do not even come from the same distribution." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will do this for only one county, as an example. We pick HENNEPIN county. " ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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countylog_radonfloor
479MEEKER0.8750.0
480MEEKER1.3860.0
481MEEKER1.9880.0
482MEEKER0.7880.0
483MEEKER1.1940.0
\n", "
" ], "text/plain": [ " county log_radon floor\n", "479 MEEKER 0.875 0.0\n", "480 MEEKER 1.386 0.0\n", "481 MEEKER 1.988 0.0\n", "482 MEEKER 0.788 0.0\n", "483 MEEKER 1.194 0.0" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# chose a county\n", "county = 'MEEKER'\n", "county_data = data.loc[data['county']==county]\n", "county_data.head()" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [], "source": [ "#help(pm.Normal)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [], "source": [ "with pm.Model() as unpooled_model:\n", " mu_a = pm.Normal('mu_a', mu=0., sigma=100)\n", " sigma_a = pm.HalfNormal('sigma_a', 5.)\n", " mu_b = pm.Normal('mu_b', mu=0., sigma=100)\n", " sigma_b = pm.HalfNormal('sigma_b', 5.)\n", " \n", " a = pm.Normal('a', mu=mu_a, sigma=sigma_a) \n", " b = pm.Normal('b', mu=mu_b, sigma=sigma_b)\n", "\n", " radon_est = a + b*county_data['floor'].values\n", "\n", " radon_obs = pm.Normal('radon_like', mu=radon_est, \n", " observed=county_data['log_radon']) " ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "%3\n", "\n", "\n", "cluster5\n", "\n", "5\n", "\n", "\n", "\n", "mu_a\n", "\n", "mu_a ~ Normal\n", "\n", "\n", "\n", "a\n", "\n", "a ~ Normal\n", "\n", "\n", "\n", "mu_a->a\n", "\n", "\n", "\n", "\n", "\n", "sigma_a\n", "\n", "sigma_a ~ HalfNormal\n", "\n", "\n", "\n", "sigma_a->a\n", "\n", "\n", "\n", "\n", "\n", "radon_like\n", "\n", "radon_like ~ Normal\n", "\n", "\n", "\n", "a->radon_like\n", "\n", "\n", "\n", "\n", "\n", "sigma_b\n", "\n", "sigma_b ~ HalfNormal\n", "\n", "\n", "\n", "b\n", "\n", "b ~ Normal\n", "\n", "\n", "\n", "sigma_b->b\n", "\n", "\n", "\n", "\n", "\n", "b->radon_like\n", "\n", "\n", "\n", "\n", "\n", "mu_b\n", "\n", "mu_b ~ Normal\n", "\n", "\n", "\n", "mu_b->b\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model_to_graphviz(unpooled_model)" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [b, a, sigma_b, mu_b, sigma_a, mu_a]\n", "Sampling 4 chains, 334 divergences: 100%|██████████| 12000/12000 [01:06<00:00, 181.58draws/s]\n", "There were 66 divergences after tuning. Increase `target_accept` or reparameterize.\n", "There were 73 divergences after tuning. Increase `target_accept` or reparameterize.\n", "There were 132 divergences after tuning. Increase `target_accept` or reparameterize.\n", "The acceptance probability does not match the target. It is 0.8236615996894034, but should be close to 0.9. Try to increase the number of tuning steps.\n", "There were 63 divergences after tuning. Increase `target_accept` or reparameterize.\n", "The number of effective samples is smaller than 10% for some parameters.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "DONE\n" ] } ], "source": [ "with unpooled_model:\n", " \n", " unpooled_trace = sample(2000, tune=1000, target_accept=0.9) \n", " print(f'DONE')" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(unpooled_trace);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Print the regression line for our chosen county alone." ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "county = 'MEEKER'\n", "county_data = data.loc[data['county']==county]\n", "\n", "x = np.arange(len(county_data['floor'].values))\n", "radon_est_unpooled = unpooled_trace['a'].mean() + unpooled_trace['b'].mean()*county_data['floor'].values\n", "\n", "xx = np.linspace(-0.2, 1.2) \n", "radon_est_pooled = pooled_trace['a'].mean() + pooled_trace['b'].mean()*xx\n", "\n", "plt.scatter(county_data['floor'], county_data['log_radon'])\n", "plt.xlim(-0.1,1.1)\n", "plt.xlabel('floor', fontsize=10)\n", "plt.ylabel('radon level', fontsize=10)\n", "plt.title(f'{str(county)} county Radon levels')\n", "plt.plot(x, radon_est_unpooled, c='g', label='unpooled line');\n", "plt.plot(xx, radon_est_pooled, c='r', label='pooled line');\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Partial pooling: Hierarchical Regression (Varying-Coefficients Model)\n", "\n", "Merely by the fact that all counties are counties, they share similarities, so there is a middle ground to both of these extremes. Specifically, we may assume that while $\\alpha_c$ and $\\beta_c$are different for each county as in the unpooled case, the coefficients are all drawn from the same distribution:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\\begin{equation}\n", "radon_{i,c} = \\alpha_c + \\beta_c*floor_{i,c} \n", "\\end{equation} \n", "\n", "\\begin{equation}\n", "a_c \\sim \\mathcal{N}(\\mu_a,\\,\\sigma_a^{2})\n", "\\end{equation} \n", "\\begin{equation}\n", "b_c \\sim \\mathcal{N}(\\mu_b,\\,\\sigma_b^{2})\n", "\\end{equation}\n", "\n", "where the common parameters are:\n", "\\begin{eqnarray}\n", "\\mu_a \\sim \\mathcal{N}(0,\\,10) \\\\\n", "\\sigma_a^2 \\sim |\\mathcal{N}(0,\\,10)| \\\\\n", "\\mu_b \\sim \\mathcal{N}(0,\\,10) \\\\\n", "\\sigma_b^2 \\sim |\\mathcal{N}(0,\\,10)|\n", "\\end{eqnarray}\n", "\n", "Add math for mu and sigma\n", "\n", "\n", "The different counties are effectively sharing information through the commin priors. We are thus observing what is known as shrinkage; modeling the groups not as independent from each other, neither as a single group but rather as related." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
Discussion: how can we best handle this data? Does it make sense to make inferences without taking into account the county?
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Defining the Model for the Hierarchical Model " ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [], "source": [ "with pm.Model() as hierarchical_model:\n", " # Hyperpriors for group nodes\n", " mu_a = pm.Normal('mu_a', mu=0., sigma=100)\n", " sigma_a = pm.HalfNormal('sigma_a', 5.)\n", " mu_b = pm.Normal('mu_b', mu=0., sigma=100)\n", " sigma_b = pm.HalfNormal('sigma_b', 5.)\n", "\n", " # Above we just set mu and sd to a fixed value while here we\n", " # plug in a common group distribution for all a and b (which are\n", " # vectors of length n_counties).\n", " \n", " # Intercept for each county, distributed around group mean mu_a\n", " a = pm.Normal('a', mu=mu_a, sigma=sigma_a, shape=n_counties)\n", " \n", " # beta for each county, distributed around group mean mu_b\n", " b = pm.Normal('b', mu=mu_b, sigma=sigma_b, shape=n_counties)\n", "\n", " # Model error\n", " #eps = pm.HalfCauchy('eps', 5.)\n", "\n", " radon_est = a[county_idx] + b[county_idx]*data['floor'].values\n", "\n", " # Data likelihood with sigma for random error\n", "# radon_like = pm.Normal('radon_like', mu=radon_est,\n", "# sigma=eps, observed=data['log_radon'])\n", "\n", " # Data likelihood with sigma without random error\n", " radon_like = pm.Normal('radon_like', mu=radon_est, #sigma=eps, \n", " observed=data['log_radon'])" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "%3\n", "\n", "\n", "cluster85\n", "\n", "85\n", "\n", "\n", "cluster919\n", "\n", "919\n", "\n", "\n", "\n", "mu_a\n", "\n", "mu_a ~ Normal\n", "\n", "\n", "\n", "a\n", "\n", "a ~ Normal\n", "\n", "\n", "\n", "mu_a->a\n", "\n", "\n", "\n", "\n", "\n", "sigma_a\n", "\n", "sigma_a ~ HalfNormal\n", "\n", "\n", "\n", "sigma_a->a\n", "\n", "\n", "\n", "\n", "\n", "sigma_b\n", "\n", "sigma_b ~ HalfNormal\n", "\n", "\n", "\n", "b\n", "\n", "b ~ Normal\n", "\n", "\n", "\n", "sigma_b->b\n", "\n", "\n", "\n", "\n", "\n", "mu_b\n", "\n", "mu_b ~ Normal\n", "\n", "\n", "\n", "mu_b->b\n", "\n", "\n", "\n", "\n", "\n", "radon_like\n", "\n", "radon_like ~ Normal\n", "\n", "\n", "\n", "a->radon_like\n", "\n", "\n", "\n", "\n", "\n", "b->radon_like\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model_to_graphviz(hierarchical_model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Inference " ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [b, a, sigma_b, mu_b, sigma_a, mu_a]\n", "Sampling 4 chains, 718 divergences: 100%|██████████| 16000/16000 [00:46<00:00, 343.23draws/s]\n", "There were 463 divergences after tuning. Increase `target_accept` or reparameterize.\n", "The acceptance probability does not match the target. It is 0.6176943212701334, but should be close to 0.9. Try to increase the number of tuning steps.\n", "There were 16 divergences after tuning. Increase `target_accept` or reparameterize.\n", "There were 227 divergences after tuning. Increase `target_accept` or reparameterize.\n", "The acceptance probability does not match the target. It is 0.693488208557726, but should be close to 0.9. Try to increase the number of tuning steps.\n", "There were 12 divergences after tuning. Increase `target_accept` or reparameterize.\n", "The rhat statistic is larger than 1.05 for some parameters. This indicates slight problems during sampling.\n", "The estimated number of effective samples is smaller than 200 for some parameters.\n" ] } ], "source": [ "with hierarchical_model:\n", " hierarchical_trace = pm.sample(2000, tune=2000, target_accept=.9)" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pm.traceplot(hierarchical_trace, var_names=['mu_a', 'mu_b',\n", " 'sigma_a', 'sigma_b']);" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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meansdhpd_3%hpd_97%mcse_meanmcse_sdess_meaness_sdess_bulkess_tailr_hat
mu_a1.4630.0521.3631.5570.0020.0011194.01188.01189.02789.01.00
mu_b-0.6320.099-0.807-0.4410.0070.005190.0190.0193.0338.01.02
a[0]1.3490.2250.9131.7760.0050.0032284.02284.02298.02950.01.00
a[1]1.0590.1230.8261.2850.0030.0022013.01953.01999.03886.01.01
a[2]1.4650.2321.0391.8950.0080.006828.0828.0807.04451.01.01
a[3]1.5060.2131.0991.8810.0110.008380.0375.0381.03873.01.01
a[4]1.4580.2251.0421.8890.0040.0033112.03112.02950.03721.01.00
a[5]1.4650.2291.0251.8930.0050.0041980.01980.01833.03835.01.00
a[6]1.7050.1931.3612.0740.0070.005706.0706.0718.04744.01.01
a[7]1.5580.2311.1351.9990.0060.0041447.01338.01451.03450.01.00
\n", "
" ], "text/plain": [ " mean sd hpd_3% hpd_97% mcse_mean mcse_sd ess_mean ess_sd \\\n", "mu_a 1.463 0.052 1.363 1.557 0.002 0.001 1194.0 1188.0 \n", "mu_b -0.632 0.099 -0.807 -0.441 0.007 0.005 190.0 190.0 \n", "a[0] 1.349 0.225 0.913 1.776 0.005 0.003 2284.0 2284.0 \n", "a[1] 1.059 0.123 0.826 1.285 0.003 0.002 2013.0 1953.0 \n", "a[2] 1.465 0.232 1.039 1.895 0.008 0.006 828.0 828.0 \n", "a[3] 1.506 0.213 1.099 1.881 0.011 0.008 380.0 375.0 \n", "a[4] 1.458 0.225 1.042 1.889 0.004 0.003 3112.0 3112.0 \n", "a[5] 1.465 0.229 1.025 1.893 0.005 0.004 1980.0 1980.0 \n", "a[6] 1.705 0.193 1.361 2.074 0.007 0.005 706.0 706.0 \n", "a[7] 1.558 0.231 1.135 1.999 0.006 0.004 1447.0 1338.0 \n", "\n", " ess_bulk ess_tail r_hat \n", "mu_a 1189.0 2789.0 1.00 \n", "mu_b 193.0 338.0 1.02 \n", "a[0] 2298.0 2950.0 1.00 \n", "a[1] 1999.0 3886.0 1.01 \n", "a[2] 807.0 4451.0 1.01 \n", "a[3] 381.0 3873.0 1.01 \n", "a[4] 2950.0 3721.0 1.00 \n", "a[5] 1833.0 3835.0 1.00 \n", "a[6] 718.0 4744.0 1.01 \n", "a[7] 1451.0 3450.0 1.00 " ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" } ], "source": [ "results = pm.summary(hierarchical_trace) \n", "results[:10] " ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# plot just a subset of the countries\n", "counties = ['HENNEPIN','AITKIN','WASHINGTON', 'LAKE OF THE WOODS', 'YELLOW MEDICINE', 'ANOKA']\n", "\n", "plt.figure(figsize=(10,5))\n", "rows = 2\n", "gs = gridspec.GridSpec(rows, len(counties)//rows)\n", " \n", "for i, county in enumerate(counties):\n", " county_data = data.loc[data['county']==county]\n", " subplt = plt.subplot(gs[i])\n", " \n", " # pooled line (single values coeff for all)\n", " xx = np.linspace(-0.2, 1.2) \n", " radon_est = pooled_trace['a'].mean() + pooled_trace['b'].mean()*xx\n", " \n", " radon_est_hier = np.mean(hierarchical_trace['a'][i]) + \\\n", " np.mean(hierarchical_trace['b'][i])*xx \n", "\n", " # un-pooled (single subject)\n", " sns.regplot(x='floor', y='log_radon', ci=None, label='unpooled',\n", " data=county_data).set_title('County '+str(county))\n", " \n", " # hierarchical line\n", " subplt.set_ylim(0.,4.)\n", " subplt.scatter(county_data['floor'], county_data['log_radon'])\n", " subplt.plot(xx, radon_est, c='r', label='pooled');\n", " \n", " # plot the hierarchical, varying coefficient model\n", " subplt.plot(xx, radon_est_hier, c='g', label='hierarchical');\n", " \n", " subplt.set_xlabel('floor', fontsize=10)\n", " subplt.set_ylabel('radon level', fontsize=10)\n", " subplt.set_title(str(county) + ' County')\n", " subplt.legend()\n", " plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This tutorial has borrowed from PyMC3 docs: https://docs.pymc.io/notebooks/GLM-hierarchical.html" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "### What about Logistic Regression?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If the problem above was a classification that required a Logistic Regression, we would use the logistic function ( where $\\beta_0$ is the intercept, and $\\beta_i$ (i=1, 2, 3) determines the shape of the logistic function).\n", "\n", "\\begin{equation}\n", "Pr(Y=1|X_1,X_2,X3) = {\\frac{1}{1 + exp^{-(\\beta_0 + \\beta_1X_1 + \\beta_2X_2 + \\beta_3X_3)}}}\n", "\\end{equation}\n", "\n", "Since both $\\beta_0$ and the $\\beta_i$s can be any possitive or negative number, we can model them as gaussian random variables.\n", "\n", "\\begin{eqnarray}\n", "\\beta_0 \\sim \\mathcal{N}(\\mu,\\,\\sigma^2) \\\\\n", "\\beta_i \\sim \\mathcal{N}(\\mu_i,\\,\\sigma_i^2)\n", "\\end{eqnarray} \n", "\n", "In PyMC3 we can model those as:\n", "```\n", "pm.Normal('beta_0', mu=0, sigma=100)\n", "```\n", "(where $\\mu$ and $\\sigma^2$ can have some initial values that we assign them, e.g. 0 and 100)\n", "\n", "The dererministic variable would be:\n", "```\n", "p-logit = beta0 + beta_1 * X_1 + beta_2 * X_2 + beta_3 * X_3\n", "```\n", "To connect this variable (p_logit) with our observed data, we would use a Bernoulli as our likelihood.\n", "```\n", "our_likelihood = pm.Bernoulli('our_likelihood', logit_p=p-logit, observed=our_data)\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that the main difference with Linear Regression is the use of a Bernoulli distribution instead of a Gaussian distribution, and the use of the logistic function instead of the identity function.\n", "\n", "Note: we could explicitly create this variable using pm.Deterministic.\n", "```\n", " mu = pm.Deterministic('mu', beta0 + beta_1*X_1 + beta_2*X_2 + beta_3*X_3)\n", "```" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'y=logistic(x)')" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# A reminder of what the logistic function looks like. \n", "# Play with parameters a and b to see the shape of the curve change\n", "b = 5.\n", "x = np.linspace(-8, 8, 100)\n", "plt.plot(x, 1 / (1 + np.exp(-b*x)))\n", "plt.xlabel('y')\n", "plt.ylabel('y=logistic(x)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**References**:\n", "\n", "- *Salvatier J, Wiecki TV, Fonnesbeck C. 2016. Probabilistic programming in Python using PyMC3. PeerJ Computer Science 2:e55* [(https://doi.org/10.7717/peerj-cs.55)](https://doi.org/10.7717/peerj-cs.55)\n", "- [Distributions in PyMC3](https://docs.pymc.io/api/distributions.html)\n", "- [More Details on Distributions](https://docs.pymc.io/developer_guide.html)\n", "\n", "Information about PyMC3 functions including descriptions of distributions, sampling methods, and other functions, is available via the `help` command." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Cool Reading\n", "\n", "- How Bayesian Analysis and Lawrence D. Stone found the Wreckage of [Air France Flight AF 447](https://www.jstor.org/stable/pdf/43288452.pdf?refreqid=excelsior%3Ae972f3a7b38b5815e1570b93dad7d269).\n", "- Search for the gold on the sunken [SS Central America](https://www.metsci.com/wp-content/uploads/2019/08/Search-for-the-SS-Central-America-Mathematical-Treasure-Hunting-Interfaces-22-1-Jan.-Feb.-1992.pdf)." ] } ], "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": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 1 }