{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "#Created by Kacper Lasocha, Jagiellonian University, Institute of Physics \n", "#kacper.lasocha@doctoral.uj.edu.pl\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.special import erf\n", "from scipy.stats import iqr, norm, multivariate_normal" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Nonparametric Inference\n", "\n", "Problems in which the form of the underlying distribution is specified up to a set of unknown parameters are called **parametric** inference problems. In this notebook we will focus on those in which nothing is assumed about the form of the distribution. Such problems are called **nonparametric** inference problems.\n", "\n", "For most of this notebook, we will be working on the distribution given by:\n", "\n", "$$ F(x) = 2 \\sin\\left[ 2 \\pi x \\right]^2 \\ \\ \\ \\ for \\ x \\in [0,1].$$\n", "\n", "Every time the name $F$ distribution is used, I refer to this distribution." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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NMqW85g4PAqEIV2EUWlmai7J8K/Yzl0x0T8IRiYPtQ9izvAgGnrKnzN4VRThx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\n6Y7jtuwpkmsADD8lkGx77hNEZDmAHwBYo5T6+JZJpVSN7b/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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def dist(x):\n", " return np.sin(x*2*np.pi)**2 *2\n", "\n", "def accept_rejection_sampling(dist, size = 1):\n", " dist_x = np.linspace(0,1, 1000)\n", " dist = dist(dist_x)\n", " samples = []\n", " while len(samples) < size:\n", " x = np.random.uniform()\n", " y = np.random.uniform(0, max(dist))\n", " if y < np.interp(x, dist_x, dist):\n", " samples.append(x)\n", " return samples\n", "\n", "\n", "def integral_sq(a, b, C):\n", " L = (8*(3 - 4*C + 2*C**2)*np.pi *a + 8* (-1 + C)* np.sin(4 *np.pi* a) + np.sin(8 *np.pi* a))/(16 *np.pi)\n", " R = (8*(3 - 4*C + 2*C**2)*np.pi *b + 8* (-1 + C)* np.sin(4 *np.pi* b) + np.sin(8 *np.pi* b))/(16 *np.pi)\n", " return R-L\n", "\n", "\n", "x = np.linspace(0,1,1000)\n", "y = dist(x)\n", "plt.figure(figsize = (12,8))\n", "plt.plot(x,y)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Ex 1\n", "Take 500 samples from the distribution $F$. Plots histogram with: 5, 20 and 150 bins together with the underlying distribution. Which number of bins seems the most suitable?\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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0fNnSh/Oy3OMkHgBWZMWia2gMzcdGpt+Y3NK25h4UJkUgPNBP7ygAgBW25/e2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\nl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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sample = accept_rejection_sampling(dist, size = 500)\n", "\n", "#Here goes your code\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Bias - Variance Tradeoff\n", "\n", "We shall start with introducing the notation. Let $f(x)$ be and underlying, not known distribution. We are given with a finite sample $X$ taken from distribtion defined by $f$. Our goal is to construct an estimator $\\widehat{f}(x)$, which resembles $f(x)$. As a metric we shall use Squared Error, that is:\n", "\n", "$$SE: \\ \\ \\ \\left( \\widehat{f}(x) - f(x) \\right)^{2}. $$\n", "\n", "As we aim for the resemblence on the whole domain, we'll be specifically interested in Integrated Squared Error, that is:\n", "\n", "$$ISE: \\ \\ \\ \\int \\left( \\widehat{f}(x) - f(x) \\right)^{2} \\ dx. $$\n", "\n", "Finally, we calculate $\\widehat{f}(x)$ basing on the specific, random sample $X$. In general, for two different $X_{1}, X_{2}$ we will have two different $\\widehat{f}_{1}(x),\\widehat{f}_{2}(x)$. For that reason we will introduce Mean Integrated Squared Error, as:\n", "\n", "$$MISE: \\ \\ \\ \\mathbb{E} \\left[ \\int \\left( \\widehat{f}(x) - f(x) \\right)^{2} \\ dx \\right]. $$\n", "\n", "It is common to expand the MISE in the following form:\n", "\n", "$$MISE: \\ \\ \\ \\mathbb{E} \\left[ \\int \\left( \\widehat{f}(x) - f(x) \\right)^{2} \\ dx \\right] = \\int \\Big(\\operatorname{Bias}\\big[\\widehat{f}(x)\\big] \\Big) ^2 + \\operatorname{Var}\\big[\\widehat{f}(x)\\big] \\ dx. $$\n", "\n", "where:\n", "\n", "$$\\operatorname{Bias}\\big[\\widehat{f}(x)\\big] = \\operatorname{E}\\big[\\widehat{f}(x)\\big] - f(x) ,$$\n", "\n", "and:\n", "\n", "$$\\operatorname{Var}\\big[\\widehat{f}(x)\\big] = \\operatorname{E}[\\widehat{f}(x)^2] - \\operatorname{E}[{\\widehat{f}}(x)]^2.$$\n", "\n", "Such a representation enables us to distinguish to different sources of an error. The bias term represents how distant is, on average, our estimate from the true distribution. It is clear that high bias will lead to high error. On the other hand, even if our estimate is **on average** correct, but the spread of possible values is significant, this will result in higher squared error. Such variability is reflected in the value of variance. Generally, simple models will feature high bias and small variance, while complex estimators tend to have small bias on the cost of high variance (see Assignment2 Ex. 1c)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## Ex 2 \n", "Take $n = 500$ samples from $F$ distribution. For number of bins from 5 to 100 calculate and plot MISE, integrated $Bias^{2}$ and integrated Variance. Find optimal binning. \n", "\n", "hints:\n", "* You can approximate $\\operatorname{E}\\big[\\widehat{f}(x)\\big]$ by taking an average of *many* $\\widehat{f}(x)$ for randomly chosen $X$. A definition of *many* depends on your resources, 500 is sufficient.\n", "* Histogram is basically a step function.\n", "* To save your time, I've implemented above the function *integral_sq(a, b, C)*, which gives you a value of $ \\int_{a}^{b} (F(x) - C)^{2} \\ dx$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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Qb6vUiJ+IiIiI/CRf7yni/g+3srugkl+kt+amMS2YlfUsK3et5MLOFzJt6DTC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\nWqE4kc6hsq6Rx77ezufrc+ni585zv+vLpQO74mQ59cBX01jD5zs/571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+eWkf7v18C/d9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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Optimal bins number: 19\n" ] } ], "source": [ "#Here goes your code\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "# Choosing number of bins\n", "\n", "As we see choosing the proper binning is essential for minising the value of MISE. There are some general rules for choosing proper bin width $h$:\n", "\n", "Optimal $h$ (requires knowledge of distribution):\n", "$$ h_{*} = \\left( \\dfrac{6}{n \\int (f'(x))^{2} \\ dx} \\right) ^ {\\dfrac{1}{3}}$$\n", "\n", "Rule of thumb $h$ (uses only known sample X):\n", "$$ h_{*} = 2 \\dfrac{IQR(X)}{\\sqrt[3]{n}}, $$\n", "\n", "where IQR(X) is the interquartile range of sample X.\n", "\n", "For more information on the optimal bin number, see:\n", "http://www.numdam.org/article/PS_2006__10__24_0.pdf\n", "\n", "## Ex 2.5\n", "What are binnings suggested by mentioned formulas for an arbitrary sample of 500 elements? " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimal bins number: 18.738557776012723\n", "Rule of thumb bins number: 8.12915122364617\n" ] } ], "source": [ "# Here goes your code\n", "\n", "\n", "# Hint: scipy.stats.iqr" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Kernel Density Estimation\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Kernel density estimators is an important family of non-parametric estimators. The idea behind them is as follows: while for histograms every $X_{i}$ contributes only to a single bin, for kernel density estimators it's contribution is smeared around in a way defined by a kernel (which is a probability distribution itself). Defining formally, for sample $X$ of size $n$, kernel $K$ and bandwith $h$, we define the kernel density estimator as: \n", "\n", "$$\\widehat{f_{n}}(x) = \\dfrac{1}{nh} \\sum_{i-1}^{N} K( \\dfrac{x-X_{i}}{h})$$\n", "\n", "# Ex 3 \n", "Take $n = 500$ samples from $F$ distribution. Implement Gaussian kernel density estimator (yourself, don't use any library!) and plot estimates for $h = \\frac{1}{6}, \\frac{1}{20}, \\frac{1}{150}$. Compare with histograms from Ex 1 and true distribution." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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ZubuSr10xhfNzUvr9usWT0vjCJRP5W2EZa/ZXBTBCEW5KzDH82v1JrjE281nb\nu2igP8tWZBvV/NjxDDv1JJ7w3BDoMIUQQgRZZ+UQQIIvOdTYIUOpQ5FfkkNKqUTgEuD10x6LVUrF\nd34OLAV6XPFM9E/njJ+LLZwN02l2VhJJMQ7Wyhv5sLZdT6aZGC4xdlodCtERNs7PSWHDIUk4ChFI\nDa0uHnx9D3ljE/nCIBY3+NoVk5mSGcd3X9lNa4cnABGKcGNqxbdd9xBNO8vjn+OrmWksGp/F3Jxs\nrskaza+TE6kzev+V83rbJq4zNvK4ewVHzYwgRi6EECLQnIZBjOlNDknlUGjrz1L2fwU2AlOVUuVK\nqc8rpe5TSt132mYrgHe01qdPqcwEPlBK7QS2ACu11v/yZ/AjzYclp5iQFsvYpGirQ8FmKC6clMb6\ng9VoLQsHhav1njxseLjAKLY6FAAWTUxl34kmaprbrQ5FiGHrt2tKqGnp4Gc35mEfRItypN3Gj5fP\n4nhDG09/cDgAEYpws9JcQCETmTX2f/nWmDj2REZwbXMLn29oJMfl5unEBK7LGs2a6N5/f/kvx3PY\n8fBT96eDGLkQQohAcypFtPa1lXkkORTK+pwmqbX+VD+2+RPeJe9Pf+wwMGewgYkzuT0mW0vrWJ4/\nxupQulwwMY03d1Vy+FQLE9PjrA5HDMJGcwZ56jAJp60kY6ULJqYCsPFwDdfNDp3vdSGGi/I6J898\nWMqKuWOZNXbwQ+8XTEhl2cxR/HbNIW4pyCYjIcqPUYpw0qFt/MJzI6nZv2VXbDP31jVwb0MDkafd\nNzrocPC99FS+PCqdB0/VcHPT2SveZap67re/zqPuW9nomc4i294g/iuEEEIEitNQpPiSQvHSVhbS\nZPJfmNhd0UBzu5sLJqZZHUqXRZ1v5A/VWByJGIwWHclOPZFFRugMls0bm0hcpJ0N8j0lRED8+r2D\nKOBbS6cOeV/fvnoa7W6TJ9dK9dBI9rzncqpHr8YVc5yfVZ3iy/VnJoYAJrtcPFd5goucrfwoLZW3\nYnsegH637S1GUcOv3DcFIXIhhBDBcPpAagcQ64iVyqEQJcmhMNH5ZnnhhP4PDg20nNQYRiVEsfGw\nvJEPR4XmVNzYQyo5ZLcZLMhNkYSjEAFQUd/KqzsquO38bMb4oT05Jy2WFXPH8sKWo5ySVtARyaVt\n/CYhE0dCMd+qqeO6Fmev20Zq+N+T1ZzX1sYP0lLYF+E4a5so5eI++z/ZoqezyZwWyNBFiFBKZSul\nViulPlJKFSulvtrDNpcqpRqUUkW+jwetiFUIMTinD6QGSIxIlMqhENVnW5kIDZsO1zA1M57UuEir\nQ+milGLRxNSuuUPK6uWuxFp01HYAACAASURBVIBsNGfgwE2BccDqUM5wwaQ03t9XxfH6Vr+8gRVC\neP3+kf8PzCu4Z/ty2OGfwe/3m6N42fUof/jZV/i248Vzb/yQ3CUcbp6yF9CW8SH5zQ4+29TU5/YR\nwP+cPMWtY0fxjYw0Xqo4ccYbBoDbbKv5jXs5j7lvZGGA4hYhxQ18U2u93beQzTal1Lta6+53rtZr\nra+zID4hxBB5K4c+PtcnRCZI5VCIksqhMNDu9rC1tLarjSuULJqQyqnmDg5WNVsdihigjeYM5qhD\nxKjQuuN/gbQrCuF3Nc3tvOi5jOXGh2Qp/60IOME4wbXGZp73XEGzlrlDI4lbK55Od2PzRPLYqSP0\n9/ZQmmnycHUNZQ4HjyefPfcqSrm4276KDeYsPjoud5aHO611pdZ6u+/zJmAvMNbaqIQQ/qK19lUO\nmV2PSeVQ6JLkUBjYWdZAm8sMzeSQL6ZN0loWVpp0NHt0bki1lHWamhlPSmwEH8qS9kL4zQubj9FG\nJPfZ3/T7vv/DvoomYnjVc6Hf9y1C16Ox03BFV7PiVBQpp/3S3x/nt7Vza2MTzyfEsysy4qznb7Wt\nJop2/ryh1E/RinCglMoB5gKbe3h6kVJqp1JqlVJqZlADE0IMWofZgUcpqRwKE5IcCgMbD9WgFCzM\nDb3kUFZyNGOToqXKI8xsNafiwcaiEFnC/nSGoVg0IZWNh2rQ3doNhBAD5zE1f91yjMXGHiYbFX7f\n/1xVQp46zJ89S5Ef2ZHBqRR/T/WgWkfzHefuQe3j67X1pHpMfpGSTPdvmyTVwgrbB7xWVEFtS8fQ\nAxYhTykVB7wMfE1r3b2kYDswXms9B3gceK2XfdyrlCpUShVWV1cHNmDRZW+Eg4dSU2h1h8bKtyK0\nOF3eWXSdA6kBEiMTJTkUoiQ5FAY2HDrFzDEJJMacPbzRakopFk5IZdPhGkxT3hWEi43mDCJwcZ5x\n0OpQerRwQgqVDW2U18kvGkIM1ep9VRxvaOMztncDsn+l4E7725ToLDaYckN/JPhDfAYuexvLqpOJ\nVJ5B7SNWa75UV8/OqEjejTl7vtxdtrdpd5u8uPXYUMMVIU4p5cCbGHpea/1K9+e11o1a62bf528B\nDqXUWcv3aq2f0loXaK0L0tPTAx638HooLYWXE+JYdWSV1aGIEOR0+5JDp909SohIoLGjUW4ChyBJ\nDoW4dreHHWX1IVk11GnRxFTqnC72n+x7GKUIDZvMGcxVB4lSLqtD6VFBjndVvq2ltRZHIkT4+8vm\no2QmRHKFsT1gx7jO2EQKjfzFc0XAjiFCQ7uCvyTG4W6ZwFfchUPa1yeaW5jU0cGvUpLofjWaapSz\ncEIKL24pk5tPw5jyrmbyNLBXa/3LXrYZ5dsOpdR8vO9fpGQ9RJywe9c32n1qcFWEYnhrcbUAZ1cO\nuUyXVJuFIFmtLMTtqWigw212vVk+w0NnD3K0wgIzHfg1hb/5HNPt7wXuQLLSjV806yiKdQ5fsvVY\nlR0SpmbGEx9lZ2tpLTeel2V1OEKErfI6J2sPVPOVyyfj+HBwFR79EaVcrLB9wLOepdTpOJKVLFIw\nXL0SG0+r3cXMymyy1Joh7csGfKO2nvtHZfBGXCyfbG454/lbCrL5xt93sqW0loUTQvcmmRiSxcBn\ngd1KqSLfY98FxgForZ8EbgL+UynlBlqB27SUHISEJqWotdkAKGsqszgaEYo628piuy1lD9DY0UiM\nI8aSuETPpHIoxBWW1gFQkJNscSS9y1LVZFJLoTnV6lBEPxSZkzAxKDD2Wx1KrwxDUTA+mS1HpHJI\niKF4bUcFWsNN8wKfZL3JthYXdt7wXBDwYwlreIDfJaXiac3m7nb/LGhwYWsbM9vb+UNSAu5uzy2b\nNYq4SDsvbSv3y7FE6NFaf6C1Vlrr2VrrfN/HW1rrJ32JIbTW/6e1nqm1nqO1Xqi13mB13MLrpP3j\nOoMqZ5WFkYhQ1dVWdlrlUEJkAoDMHQpBkhwKcVtL68hNiyUtLtLqUHqlFBQYByg0p1gdiuiHQj0F\nA5O5RonVoZzT+bkpHKpuoaa53epQhAhLWmte3VHB/NwUslMCf2duulHGTHWElzwXB/xYwhofREdR\n4zBx1JzP5UZR3y/oBwXcU99IucPBqtgzv09jIuxcmzeat3ZX0tLePXUkhLDaSbu3amhme7skh0SP\nWl3e1rGYXiqHRGiR5FAI01qz7WgtBeNDt2qo0zzjABWkU6l7aH8TIaXQnMpUdYx4Fdp9vuf7WikL\nj9ZZHIkQ4WlPRSOHqltYMXds0I55k20du/UE9pnZQTumCJ4XEhLR7jiucdYTMchB1D25zNnKpI4O\n/pCUiNntuZsLsnB2eHhrd6XfjieE8I9am/et5PT2DlpcLV3zZYTo9HHl0GnJoUhvckgqh0KPJIdC\n2KHqFuqcrpBuKet0vq9FSaqHQptbG+wwJ1FgHLA6lD7Nzkokwm5QKEOphRiUV3aUE2EzuGbW6KAd\nc7ltA3bcvOZZHLRjiuAot9vYGB1JR/18brRt9Ou+DeA/Gho5HOFgU3TUGc/NG5/MuJQY/rlLkkNC\nhJoGw1s5NLnDO1L+pPOkleGIENSZMIzuNpAaJDkUiiQ5FMI63xT3OIw6xExXR4mhjW2SHApp+3Q2\nLUSH9LyhTpF2G3OyEtlSKpVDQgyU22Pyz53HuXxaBokxjqAdN0U1cYFRzFvmAmRc7PDycnwcGkVa\n/UTmKf/fYLiq2Umq28PzCfFnPK6U4trZo/mw5BR1LR1+P64QYvAaDAOlNRNc3uRQtbPa4ohEqOms\nHIrttpQ9SFtZKJLkUAgrPFpHSmwEE9JirQ6lT3Zlkm+UsFWGUoe0zqHh4VA5BN7WsuKKBpwdMmtC\niIHYcKiGU80dfGLumKAf+1pjM8d0Jnt0btCPLQLDA7waF4+7eSorzN0Yyv+ZvwjglqZm1sVEc9R+\n5mK61+aNxmNq/lV8wu/HFUIMXoNhkGCapHi8VSFSCSK6c7qcKK2JOi05FG2Pxm7Y5fslBElyKIQV\nltYyb3wySimrQ+mXArWfvXo8zTqq742FJQrNqYymhrGqxupQ+uX8nBTcpqboWL3VoQgRVv5VfIKY\nCBuXTs0I+rGX2gqx42alZ0HQjy0CY0tUJDV2A1fDPK73c0vZ6W5uasKuNS8mxJ3x+MwxCeSmxbJS\nWsuECJyHEr0fA9BgM0g0TRJ9LUMNL981pP0NSrCOI/rWw/+F0+0kRmtOfzerfphEYkc7DR2SHAo1\nkhwKUdVN7ZTWOMNiGHWnAuMAJgZF5iSrQxG92GZOYV6YVA0BnOf7/t9+TFrLhOgvj6l5p/gkl03N\nIMphC/rxk1UzFxjFrDQXSmvZMPFmXCyGx8HYlmSmqrKAHSfdY3JVi5NX4+NwnnZjTCnFtXmj2XDo\nlKxgKUQIaTAMEj0mCZ3JISP41xwR2pwu5xnL2HdKME0a26WtLNRIcihEbTsaPvOGOs01SjAwKdQy\ndygUVehUKkntGh4eDhKjHUzKiGOHVA4J0W/bjtZxqrmdZbNGWRbDdcYmynSGtJYNA61K8W5sLB1N\neSxT2wl0MfOtjU20GAZvd1vW/trZozE1rNojrWVChIpGX1tZlNZEmJpGQ95aijM5XU5izbPvFCWa\nplQOhSD5CQ5RhaV1RNgNZo1NsDqUfotXrUxTx7rm2ojQ0vn/Mi+MkkMAc7OT2FFWj5YSBCH65V97\nThBhM7hsWvBbyjpJa9nwsTYmmlZD0dEwj6tshQE/Xn57BzkdLl6JP7O1bNqoeCakxfLOR7IakhCh\norOtTAGJpodGm7y1FGdyup1E9/A7fKJUDoUk+QkOUTvK6skbm0ikPbzKMwuMA+wwJ+HR4TEnaSTZ\nZk4hhjamBbAlIBDmjkumtqWDY7VOq0MRIuRprXm7+AQXTU4jLtLe9wsCJEm1MN/Yx/vmeZbFIPzj\nzbhYIlzRpDqTyFeHAn48BXyyqZmiqEgO1x/++HGluGJGJhsPnaKpzRXwOIQQfWswDOJ9LUMJpimV\nQ+IsTnfPbWWJHo8MpA5B8hMcglwekz0VDeRnJ1kdyoDlGyW0EE2JHmt1KKKbneZEZhuHsKuzT9Ch\nbO4478+BtJYJ0bc9FY1U1LcGpKVsb4SD3yUl8FBaCj9LSebN2Bhaz9FjtMTYzkGdxTHTugomMTSN\nHY18GB1Fa+Ncltm2BWSVsp5c39yCXWteOfjKGY8vmZaBy6NZf/BUUOIQQpyb0zCI9b3xTzRNGiQ5\nJLpxurwDqbtLME1Zyj4EyU9wCNp/ool2txmeySFVAngTESJ0tGkHH+nxQbnr629TMuOJibCxQ4ZS\nC9Gn9/aeRClYMj3Tb/ustNn4z8x0bhk7mv9LTmJddBSvxcfynYw0rswew9/j4+gp5XyFsd0bk1QP\nha115etwK0Vb0xyWGoFvKeuUappc6mzln4f/icvzcZXQvPHJJMU4eG+vtJYJYTUX4FKq641/gkeS\nQ+JsLa6WXgdSN7uacZlSCRpK5Cc4BO0o81ZIhGNyKEedJIEWdmhZsSyUfKTH48JOvhF+ySGboZid\nldj1cyGE6N2a/VXMzU4iJTbCL/vbGhXJJ8eOZkdUJF+rrWPd0XL+XXacDUfLeabyJNM6XPw4LYVv\nZqTR1q2KaLxRxWRVLq1lYezfx/5NpDuCmNY05ht7g3rsFU3N1LbVsqZ8TddjdpvBZVMzWL2vCrcn\nvKpghRhuWg3vOT/aN2w4wTRl5pA4i9PtJLanmUO+c3hTR1OwQxLnID/BIajoWD2psRFkJUdbHcqA\nGUozxzhEkVQOhZTOSq58o8TiSAZn7rhkPjreSJvLY3UoQoSs6qZ2dpY3cNlU/7RxbY6K5D8z08nw\nuPlHxQk+39BEsu/unw0oaGvn9yeq+FZNHe/HRPPFzHTau3WZLTG2s9mcRqMOv+vZSNfqbmV9xXrM\nxhksNoqJUME9/y5ubSMtOo03D715xuNXTM+kzuliu7QaC2GpVuV9GxmjvdeFeFPTrOStpThTq6u1\n55lDvsdkKHVo6fMnWCn1R6VUlVJqTy/PX6qUalBKFfk+HjztuWVKqf1KqRKl1Lf9GfhwVlRWR352\nEirQ68UGyFxVwgGdjVNHWh2K8CkyJzGKGkap8GzNmpudhNvU7KmQwXVC9GbdgWoAv6xSdtRu5+sZ\n6WS73TxTWUW2293jdgq4s7GJn5yqYUt0FN9NS+X0+4NX2Lbjxs5ac86QYxLBteH4BtrcbTQ0FXCZ\nURT049uAq3OvZn3F+jOGll48JQ2HTUlrmRAWc3arHIozTZoNhamlqk94aa17Xa0swZccqm+XRH8o\n6U9690/Asj62Wa+1zvd9/AhAKWUDfgNcDcwAPqWUmjGUYEeChlYXh6pbwrKlrNMc4xAebOzROVaH\nInyK9ETmhGFLWad8GUotRJ9W768iIz6SmWMShrSfNqX4amYaNjSPn6zuqhY6l+ubnXyjto534mJ5\nLiG+6/G56iApNPJvz9whxSSC7/2j7xNpxONx5nKpbaclMVw74Vpcpot3j77b9Vh8lIP5uSms2V9l\nSUxCCK/OBQk6Zw7FmyZaKVpcLVaGJUJIh9mBR3uIMc9ODqV7vNWo1a3VA96vUylK7datyDqc9Zkc\n0lqvA2oHse/5QInW+rDWugN4EVg+iP2MKLvKffOGxoVvcqizdanIlLlDoaBOx3FUjwrLeUOdMuKj\nyEqOZkdZeFY+CRFobo/JugPVXDo1fchVp79JSuRQRAQ/r6ohy93/VqK7Gpq4rMXJr1KSKI7wzjyy\nKc2Fxm7Wm3mYPfxyKEKT23SztnwtUa5ZTFdlllWdzkiZQU5CDm8ePrO17OLJ6Rw42cyJhjZL4hJC\neFcqA4g2O9vKvH82dzRbFpMILZ2Jwp7aysb4KpIrmioGvN8H01K4PnsMxTXFQwtQnMVfjaGLlFI7\nlVKrlFIzfY+NBcpO26bc95g4hyJfZcTsrPBNDqWqJrJVlSSHQkTn/KfOleTC1dxxyVI5JEQvth+r\np7HNPeR5QzsjI3g2MZ5bGpu4oG1gb7wV8ONTtaR4PDyYlkLn+iMX23ZxiiT2nZChk+FiZ/VOGjsa\nqToxkcsMa6qGAJRSXDfhOrad3EZlc2XX4xdPSQdg3cGB33EWQvhH98qhuM4ZMrI8ufBxupwAPQ6k\nTjA18RHxVDQPLDnkMT28HRcLeCtchX/5Izm0HRivtZ4DPA68NpidKKXuVUoVKqUKq6tH7sV+Z3k9\nE9NjSYx2WB3KkMxRh9hpTrA6DIG3gkthkmccsTqUIZmbnURlQ5vcKRaiB6v3V2E3FIsnpw16Hybw\ns9Rk0jwevlE7uERsomnynZo6DkRG8LyvvewiYzcgb+TDyfry9RjY6GiexGW24M8bOt01E64B4K0j\nb3U9Nm1UPOnxkV1ztoQQwedUZ84c6qoccknlkPByur3JoZ4qhwDGxo3leMvxAe2zrOnj2pO9tcFd\nRXMkGHJySGvdqLVu9n3+FuBQSqUBFUD2aZtm+R7rbT9Paa0LtNYF6enpQw0rLGmtKSqrJz872epQ\nhizfKKGCdKp0otWhjHg79USmqHLiVHgnVeZke7+XdstQaiHOsu5ANfPGJ5MQNfgbCytjYyiOjORr\ndfU93uXrryXOVi5tcfLb5EROGQaZqp6p6hjrJTkUNj6o+IAkYwoJEXHMVQctjSU7Pps56XPOaC1T\nSnHR5DQ+KDmFR9oVhbBEZ1vZ6auVgbSViY91Vg7F9PI7xZjYMWcke/qjM5mU7nZzrPHY0AIUZxly\nckgpNUr5Bhwopeb79lkDbAUmK6VylVIRwG3AG0M93nBWXtfKqeaOsJ431GmuzB0KCVp7l7EP53lD\nnWaMTsRQsLtcWsuEOF1tSwfFxxu5cNLgq4Y6gMdSkpjR3s61zc4hxaOAb9bW06EUv0/yJnUvMnaz\n9UgdrR3BXQ5dDNzJlpPsr9tPS/1kLpiYhl1Zv/LQdROuo6S+hP21+7seu2RKOvVOl6xiKYRFutrK\nTGkrEz3rq3JoUvIkjjUeo20AsxJrWmsAyGvv4HjLcVkdz8/6s5T9X4GNwFSlVLlS6vNKqfuUUvf5\nNrkJ2KOU2gk8BtymvdzAl4C3gb3A37XWMjXqHIrKfMOow3jeUKeZqhQ7bkkOWeyozqSOeOao8E8O\nRUfYmJIZzy55IyDEGTYe8v6iNJSWstfjYzlht/PVuga/9JvnuN2saGrm7wlxlNttXGzsosNjsulI\njR/2LgLpg4oPAKg9NYHFk1ItjsbrqpyrsCkb/yr9V9djF05KQymktUwIi3QNpNbSViZ61lfl0LSU\naXi0hxJH/6uea9u862TltXfgNt1UO+Ua4E/9Wa3sU1rr0Vprh9Y6S2v9tNb6Sa31k77n/09rPVNr\nPUdrvVBrveG0176ltZ6itZ6otf5JIP8hw8HOsnoi7QbTRsf3vXGIi1IupqkyduqJVocyonV+/TtX\nkAt3eWMT2V3egB5Cy4sQw80HJaeIj7Qze+zg2njdwNOJieS1tbOo1X/tp/fVN2LTmieSEplv7CPC\nbrD+wCm/7V8ExvqK9STY0zHbM1k8hGo0f0qOSmb+qPm8U/pO1/k/NS6SWWMSZZaVEBZpVQpDayK7\nJ4ekrUz49FU5NC1lGgB7I/ufHKpprcGhNVM7OgAGPLNInJu/VisTfrCrooEZYxJw2IbHf0u+UcIu\ncwKmHtqyymLwisyJRNHOFFVudSh+MTsrkZqWDo7LUGohumw4dIoFE1KxD/LasSouhgqHnXsaGvHn\n2TrT4+HmpmZWxsVS6zBZkJsic4dCnMvjYuPxjcR4ZjI6MZrctFirQ+qyNGcpx5qOsb/u49ayi6ek\nsf1YPU1trnO8UggRCE5DEa1113UjAogwNU0dsjKl8OqqHOplNlxWXBaJkYnsjozs9z5r2mpI9XgY\n63YDDHi1M3FuwyMLMQyYpuaj443kDfLObyjKU0doIoajOtPqUEasPWaut8UvBGZG+EOer+VyV5nM\nHRICoKzWydEa56DbfzTwx8QEJnd0cImz1b/BAXc0NKGA5xLiuWhyGgermjnZKMndULWjagdOt5Oq\nk7lcMDENNYA5EIG2ZNwSbMrG26Vvdz22eGIaHlNTWFpnYWRCjEytyjirIiTeNGlySXJIeHVVDvVS\n8a+UYk76HHYOJDnU6k0OjXJ7ZxhWOauGHqjoIsmhEHGkpoXmdjezhlFyaJZv6fTdOtfiSEYmj1YU\n6xxmGaVWh+I300bFYzeUzB0SwmfDIW+b1mDbfwqjIimJiOCzDU0B+YVgtMfD1c1OXo6PIy87AoBN\nh2XuUKhaX7Eem7LTUJsTMvOGOvXUWnbe+GQibAYb5XtKiKDrrBw6XbxpSluZ6OJ0OTGUQdQ5xkHk\np+dzOMJBg9G/mxHeyiGTGK2Jc8RJcsjPJDkUInaXe9/sDqfKoSmqnAg62GNKcsgKR/RonEQxSx2x\nOhS/iXLYmDoqvuvnRYiR7oOSGtLjI5mcETeo1/81IZ5Ej4erW4a2Qtm53NXQSKthsKtxFfFR9q4B\n2iL0bDi+gdGR00FHhsy8odN1by2LctjIH5ck31NCWKBVqbPaheK0KW1lokuLq4UYe8w5W9bnpM8B\nYFc/q4c6K4cA0mPSJTnkZ5IcChG7KxqItBuD/gU/FDmUh+mqTCqHLNL5dc8zhk9yCLxzh3aV18tQ\najHimaZmQ8kpFk9MHVT7zwmbjX/HRHNjU8s57+oN1RSXiwWtbbx88CXm5yZJ5VCIqmmt4UDdAUzn\nZCamx5KZEGV1SGfpbC17p/SdrscWTUil+HgDDa0yd0iIYGo1DKK1tJWJ3rW6W4mxx5xzm1lpszC0\n7ldrmalNattqu5JDGdEZslqZn0lyKETsrmhg+uiEQQ8UDVWzjCPsMXOQ9/HBt8fMJYp2JqnhNaht\ndlYSjW1ujtUGrtJBiHCw/2QTNS0dg67weCk+DhO4pSnwv8jf2thEZUslmZlHKK1xUtng//lGYmi2\nntgKwLGKsSFZNQTe1rLzR53P26Vvd90gWDQxFVPDliO1FkcnxMji7KlyyNTSVia6OF1OYhznTg7F\nOGKY2uFiZ1REn/traG/Aoz2kerxJyYyYDKkc8rPhlYkIU8NxGHWnPHWYJmJlKLUFdpu5TFfHhs0w\n6k6dPye7pLVMjHAbfK00FwzijbwJvB4fywWtbWT5hjoG0qXOVtKj0ylzvw8gbUAhaFPlJqJtsbQ2\nj+KCiaGZHAK4KueqM1rL5o5LItJuyPeUEEHW2svMIWkrE52cbifR9ug+t5vd3s6eyMg+uwJq27w3\nAc5oK2utQmoQ/EeSQyGgcxj1cEwOyVBqa5ha8ZEeP+xaygCmZMYTYTfYLUOpxQi35UgN2SnRjE3q\n+xevs14bFckJu51PNLcEILKzOYAbJ9/IzprNJMQ3SmtZCNpUuYkMx0yUsrFwQorV4fSqe2tZpN3G\nvPHJMpRaiCBz9rBaWZxp0uySyiHh1exqJtYR2+d2EzpcNBsGp1pPnXO7mlbveb6rrSwmA7fpps6Q\nlIa/yFcyBHQNo84afskh71BqlwylDrIjehTNxAyrYdSdIuwG00cnsKtclrMXI5fWmi1HapmfM7gV\npV6PjyPeY3KZM3jtmTdNuQmAsVnF8kY+xJQ3lVPRXIG7ZSJTM+NJium7vN8qPbaWTUhlb2UjdS0d\nFkcnRBh6KNH7MUC9VQ61ultxmUOYAdY9nkHGJwKgt/+LXh53upzEOfqep5vjcgNQ2lh6zv3W/GU5\ncGZyCKDabutP9KIfJDkUAobjMOpOEcrDNHVMKoeCbE/XMOrDFkcSGLPHJrKnohHTlEJSMTKVVDVT\n53SxIHfgFR7NSvFeTDTLWlqIDOKP0KjYUcwfNZ8m+2bKap2U18ncsFCxuXIz4J03NJjvqWDr3lq2\naKI3Sbr5iCQdhQiWnmYOxfsqiWTukABf5VBE35VDuS5vMvFIw7lvatfYvEmg02cOAZy0SXLIXyQ5\nFAKG6zDqTjONUvaYuTKUOoh2m7lE0sHkYTaMulNeViLN7W4OnwpOS4wQoWazb/ju/EG8kX83NoY2\nw2B5kFrKTnf9xOtpcJ/AFn2UTYdlgHCo2Fy5maSIVJwtqczPHVw1WjBdPu5yDGXw3tH3AO9CBdEO\nm8wdEiJIPKaH9h5WK4vzJYtOTw41GAp3UKMToaLF1UKsve/kUKbHQ5Rpnl051E2NzcCuNQm+JGRG\ntK9ySJJDfjM8sxFhZDgPo+6Up47QSCzHdIbVoYwYu81cpg3DYdSdZvtaMHdXSGuZGJm2HKklIz6S\n8annXgWkJ2/GxZLT4WJ2e/BbcK4YfwVRtihiU4vkjXyIMLXJ5hObyXTkAYrzc5OtDqlPKVEpzMuc\nx/vHvAPOI+wGBTnJXUlTET6UUtlKqdVKqY+UUsVKqa/2sI1SSj2mlCpRSu1SSp1nRaziY61u74qT\nvVUOdS5n71SK67LG8IVR8h5gJGru6F/lkAGMd7kpbSg953Y1NhspHk9XAiMt2rt4QpW0lfmNJIcs\nNpyHUXfKk6HUQWVqRbHOGZbDqDtNSo8j0m5QXNFodSiiD0qpPyqlqpRSe3p5/lKlVINSqsj38WCw\nYww3XfOGclNQSg3otadsBoVRkSxrcTKwV/pHrCOWK8ZfgRG/i61HT1oQgejuYN1BattqcbVMJDct\nloz4KKtD6pcl45ZQUl/S9Wbi/JwU9p9soqF1CLNOhBXcwDe11jOAhcAXlVIzum1zNTDZ93Ev8ERw\nQxTdOd3etuCeZg4BXSuWFUZFUm+zsSU6ijZ3W3CDFEFVZrdz0bixvBTvTQa5PC46zI5+zRwCGO9y\ncbTx6Dm3qbHZulrKABw2BylRKVRJ5ZDfSHLIYnt8Ky7NGsbJoSmqDAdudstQ6qAo1Zk0E0PeMBxG\n3cluM5g2Kp7i45IcCgN/Apb1sc16rXW+7+NHQYgprJXVtnKisW1Qs2HejYnBVIqrWqyb93P9hOvx\n4OR4x3aqGuXNgtU6pAbylQAAIABJREFU5w0dKRvN/JzQnzfUacm4JQBd1UMFOcloDduP1lkZlhgg\nrXWl1nq77/MmYC8wtttmy4FntdcmIEkpNTrIoQ57LQO42dBZORTdw2pl8HFb2YGIj4fb9/XGX4S3\n92KjqbfZeCLJ+562xeVtXe/PamUA2W43x1uO4zE9vW5TYzNI8Zz5fEZMBtV2+yCjFt1Jcshiu8ob\niLAbTM4cfsOoO0UqN1NVGXv0BKtDGRE6h1HPGsaVQwAzxiRSfLyha7UaEZq01usA6fXwo86hu4OZ\nDfN2bAwTOzqY5LKuumLB6AUkOJKxJ+ymUN7IW27LiS2MjsmmsTluUDOsrDIqdhSzUmd1JYfys5Ow\nG4qtpXK6CVdKqRxgLrC521NjgbLT/l7O2QkkMQTH7HYuGTeW/00+981qj6lZe6Ca/1tTDMDfXEv5\njXs5e81s4Oy2smOOj9+0n3RKtehwdsjhAKDesGFqk2aXN0HYV3JIa02ROZF97bNxm27u/9u/eeTt\nfWw8VHPWvFpv5dDZySGpHPIfSQ5ZrHMYtWOYDqPulGccYY+ZI0Opg2CPmUsEHUxR5VaHElAzxyTQ\n2OamvK7V6lDE0C1SSu1USq1SSs20OphQt+VILUkxjgGvcFlls7E9KtLSqiEAm2Fjac4V2OP2svFI\npaWxjHQe08P2k9tJd3i7eMIpOQSwZPwSdp/azYmWE8RE2Jk5NpHCUkk4hiOlVBzwMvA1rfWgyoKV\nUvcqpQqVUoXV1dX+DXCYey82mnbD4LmEhF63eWt3JZc9uoY7/7iFN3aWAnDAM4FH3LdydcfP+XTH\nd6l0jwE+bis7abOR5va+ma9yVgX2HyEsVeZLBHYYiipnVVfl0LnayrYfq+PGJzbwiY4f816btxp0\n14nD/G7tYT71+00s7fgFqz1zAG8SqXtbGUB6dLokh/xoeGckQlznMOrZw7ilrNMsdZgG4iiTodQB\nt1vnMl2V4VC9l2UOBzPHeH+BKT7eYHEkYoi2A+O11nOAx4HXetpIfun/2JbSWs7PSeH/sffe4XGV\nZ/r/5z3TNZqRRr3LuGBLtiU3TK/GkJBNSCEkhJDyC2tKym9Lsslm98qSZFN2s9kCJCEspC6bTSVA\ncEJMTcCAwbbcJOOu3vv0mXPe7x8zI6sXe6RReT/XNZelmXNmnpGnnPc+93M/mjaz1KBdTgdSCG5I\nsTgEcOMFNyC0CK80v5zqUpY0x/uOMxgZJOwtpzDDTonHkeqSZsT1ZdcDZ1vLti7zUNPURyi6uL//\nFhtCCAsxYegxKeVvxtmkGSgd9ntJ/LoRSCkfllJukVJuyc3NnZ1iFylH4+1fYU2MGUMfCOt86n/3\nce9j+3DazHz39k187451ADxsfpA3bHfzRfNjvGWUclsw1hk+JA6ZTawNhxFSKufQIqfLZCIz7upp\nGmya1DlkSMG/R27hlu/tpq0/yFfNP+BJ8W0APvcXudT80w38+63V6Gh8PPJ5/uHxQ/QG+4kIMcY5\nlJ+WT49JQ6XNJQclDqWQM/Ew6nXFE6v0iwUVSj03SAmHjWWLvqUMoKLQjUkTKndogSOlHJBSeuM/\n7wQsQoiccbZTB/1AW3+Q+m7/OeUN/dGZxspwmBWR1A8V3pK/BZvmpjW6B28o9fUsVfa27wXgdFPB\nOQWcp5plGctYmblyWO5QFuGowaEmddJgoSBiL7pHgTop5b9PsNmTwEfiU8suAfqllMp2mESah2W2\nDHf49PjCfPC/X+PpQ6187sbVPPWpy7lpfSG6CAHgMCS5YoAd5qd51vY5rtUOIXUru47WIyW0m80U\nR6Lk6LpyDi1yejXT0BTUxsHGCZ1DEWnibyN3c7/+Xt6zsYQ//vVV3GF+lgv1QczCTNNgE+k2M+/d\nVMLvrV/gLtNTPPZ6A3/52IsAY8Sh3LRcpBB0K/dQUlDpTSmktjW2qF1btPidQ6vjodSHjWW8wzS6\nlVyRLOplPoM4WS9OpbqUWcduMbEi16nEoQWOEKIAaJdSSiHEVmInLdSM8wnYE89TuWiGwcGd/k72\n2e3c29s3G2VNj/vOfteZgS1ZK3nZVceer13FddqRKfZVi/1z5r6JjzHezMshz+rgZF8aWw9/Be57\nfg4LSw7byrbx34f+m55gD1vKPQC8caaXLQsoXHuJczlwB3BICFETv+6LQBmAlPIhYCdwE3AC8AMf\nT0Gdi5pWs4nSSIRGi4U2fxvLM5fjC0X5+A/3cLRtkO9/eDM3rC0Y2t4fiTlQ0+TZFh+P8PJ9y39w\niaWauvZ27jM+gFd7lXw9Sp6u0+5TzqHFSgQYNGlUhsK87LDT5G3CrMVkBpfVNbSdIQWfi9zFb40r\n+Jz559z7/h8PnZQwA4XphTQNno3FsIkof2/5Gave+4984enHcZSDe5QxNC8t1pXSbjZRgOJ8Uc6h\nFFLbMoBZE6ycYW7EQsQmoqwUTdTK8lSXsqg5tETCqBOsjYdSK+YvQoifAa8Cq4UQTUKITwgh7hZC\n3B3f5BbgsBDiAHA/8EGpUsYnZF99Lw6Laaitcrq81PQSANt88yej61Z/B0IL84QjP9WlLEkksNdu\noyAQO3Dfqr2V2oLOkevLr8eQBi82vkh2uo3luU7eVKHUCwYp5ctSSiGlrBo2tXKnlPKhuDBEfErZ\nJ6WUK6SU66WUb6a67sVEGOg0m9kYjLmB2n3t6Ibk3sf2cbhlgO98aNMIYQiGTysb+XWtCUmRy0N5\nromfiksByI/qZOsGvSGVB7ZY6Y27dnJ1nTxdp9XbSm8w9v/tsXuGtvtW9NYhYeiT5ifGuFVL0kto\n8o7NTL1lcwkfvjwm+P80+J4RGbYJcahTOYeSghKHUkht6wAr89KxW5bGi7lS1FNrKHFoNqk1yrEQ\nXfRh1AnWFrlpHwjRORhKdSmKCZBS3ialLJRSWqSUJVLKR0cd9D8opVwrpayWUl4ipdyd6prnM/sa\neqkuzcA8wyEGLza+SHEkyqoUTikbzVXBATTdxn6nMfXGiqRzymKOHdD7y3HjY4VoSXVJ58Rqz2qK\n04t5tv5ZAC4qz+LN+l4MQ2nMCsV0aDfH1iHV8ZagDn8H33nhBC8d6+QrN6/l+sqxAr4/mnAOjX2f\nuawuSrMFW6x7AOiJFJGp6/QFRzpX66wW3rTbkvpcFMknEA1we2E+P3W7JtymN35M4tF1iuIj6XtD\nvZiFGbc1djLrWX0T39Nv5jbT89xremLc+ylxlYxwDg1nRWHsWGFX5Bp+qm8fuj7XEYsaUKHUyUGJ\nQymkrnWAisLFnzeUYK1WTyceOuTib6NLFbWynJWiCesiD6NOUKlCqRVLCH84ypGWATaXe6beePh+\nET+vtb7GNf4A8ylRxgwU+zLocbYRlOqgbq7Za7cD0OrbwCbtOJpYmGKKEIJtZdt4rfU1vGEvF12Q\nRX8gwvEO79Q7KxQK2uJ5Q2WRCB5d52BbPf/57DHes7GYD20tG3cff8SPkBL7OOJQujWdwcgg77Ht\nBOD+wMdI000jnEOGNLi1uJCPF+YPtagp5ie7m3dz0G7jX7M9TPQt0aPFxSHDoDCq0+ZrozfYS6Y9\nEyEErTKLz0buolKc4Z/MP2aieLsSVwm9od4xoegAnYFOLFJynTzKV6N3cNSIZdR77B7MUtJhVscR\nyUCJQymiyxuifSBE5RIShyq1MwDKPTSL1BrlVIr6VJcxZ6wtjAmNKndIsRQ42NSPbsgZi0Ovtb5G\nSA9xjX/+HYBf4Q8jzH6espVOvbEiqbxpt5ET1TkdrmSTdjzV5YzPfRnTulz/7L8SMSL8+b9WcdET\n1wLwxoMfTXHxCsXCILGwz9YNMnXJ7tP1LMt28s/vXjdhSH0gGsAu5bgLSZfFhTfspc8Sc3r0RIvY\nF6kiEA0QjAYBaPaeHTZ3ou9Ecp+QIqmc7D859HOvNr50kGgry9J1CqNR2n3tdAW68Ng9SCn5u8gO\nwlh40HI/djGxg7kkvQRg3NayTn8neVGdb1kexo2Pz0buJqIbaEIjV9dVW1mSmFIcEkL8QAjRIYQ4\nPMHttwshDgohDgkhdgshqofddiZ+fY0QQvUHD6MuHkZdOcPciIVMhWgAULlDs0SndNOJh0pt6YhD\nGWkWSrMc1CpxSLEE2NcQO+u6sXRm4tCLjS/isrjYHJx/7ZcfCDQipcZOx8yek+L8SOQNlQfsSExs\nFsdSXdJ5UR0KkxPVeTbNQZnoIJde3jDWpLoshWJB0BdfVHsMnUE9i6Dh5V9uqcJpm3hukT/qJ22C\n1k2X1YU34qXVbCYnqrNDe4aD0fWxxwrFWstO9Z0dnHKqf/EPUVnINAw0DP08fKrdcAbiopFbjzmH\nojLKW71vkWXL4skDLfzZqOLz5v9judY26WOVumInisZrLev0d5Kr62SLQb5q+SGH5QU8/KfYaycv\nqtM+QW2KmTEd59CPgLdNcvtp4Gop5Xrgq8DDo26/Nh4ut+XcSlycJMShpdRWliH8lIgOjhjLUl3K\noqQu7shaSs4hiLmHVFuZYimwr76X5blOPE7rtPfRDZ2Xml7iiuIrsMxibefKCnox+4updYZTXcqS\notFspsNsxuYvQsOgWjs59U7zGA24zu/nz2kOQppgi3aMfXJVqstSKBYEibyY5kgJbdEislzRKSdi\nBqIBHHL8vLgMWwb9oX6azWYKo1H+f/NvyNNjJyc6fLFhpO3+s5PLOv2dyXgailmicbARlx77v26Z\noHXLGxeH0qWkMBoFoM3XRrolg6/+ro4qcZIPm3ZN+VglrrhzaBxxqCPQQW58jP1Npj28XXud+587\nTnNfgDzlHEoaU4pDUso/AROOfZBS7pZSJppIXwNKklTboqa2ZYACt52sGRzkLwbWijPUKefQrJBw\nZFVqDVNsubhYW+TmTLefweD8CdpVKJKNlJJ9DX1sKpuZw+ZQ1yF6gj1cU3rN7BSWBJb73PhtgzSq\ns35zxt54CGyPfx2rRQPpIpjiis6fbb4AAU3jVYedjdoJGmWeGlagUEyDPs1EumHwjegdWHUzDvvU\nYr0/MrFzKD8tH13qHLZZKYxGsYsInyA2MfNX+2NTEbsCXbHMIsOgJ6imC85nGgYb2BCKfZb2TiDA\n+DWBWUpsUlIUF4cAGjpN9PhCfN3yKKZp5Nq5rC4ybBlj2sqklLT52sgfdt//YHkMgH/9w1HyorrK\nHEoSyc4c+gTw+2G/S+CPQoi9QogdSX6sBU1d6+CSailLUKnVc1oW4JNqOkGyqTXKKaaTDOFLdSlz\nytri2PtItZYpFjNnuv30+MIzzht6sfFFzMLM5cWXz1Jl589V/thI5Ccd2SmuZOnwpt2GR9c5GtzE\nJm1x5H1cFAzi0g2eTXMMZSjtb1CjsxWKqegzadh0M68Za9komxkMT308FXMOTSAOOWPTzfyaRlE0\n5vS4hljr6uMHj9HjC9Ph7yBLN8jVdbqD3Ul6JopkEzWidAe6WROOCYa9E0xK9QqNNMNAAKWRswJO\nbb2DWzaXsC6eOzsdStLHTizrDnYTiAYoGSYOlYgudly1nCdqWghHM/Fqmgo3TwJJE4eEENcSE4c+\nP+zqK6SUm4C3A58UQlw1yf47hBBvCiHe7Oxc3PbCYETnRKeXisKJRwIuVipFPRKNo3L86QeKc6dW\nllOxhPKGEqwtUqHUisXP3vrYIvdcxKHN+ZvJsM3fKZHX6fXooTx2pS2978RUsddu58KAxiDO+RtG\nPUMswLV+Py+mOVgjTmMmyv7Gvin3UyiWOr2axkA0h2WijS2yHn/UT8SY3I3tj/pJm6CtLBEqDAwt\n5j3xtqSw9PLg8yfoDMTyY7J05Ryaz/SF+pBIcqM6Lt2gVxvfnePTBOlxJ5kV8NjixyrBMv7q+gtn\n9JglrpIxzqHGwUYAyoYJTwB3X72CXJeN3cHLgJFB54pzIynikBCiCngEuFlKOST/Simb4/92AI8D\nWye6Dynlw1LKLVLKLbm5uckoa95yvN2LbkgqC+fvwfpskQhLVhPLkktQWjgli5Zc3hBAnstGTrpN\niUOKRc2+hl5cdjMrc9OnvU+zt5mT/Se5qmTC8zLzgjWiAbyrOO2I4J9ovq0iabSaTDRbzLj8sWOt\nhR5GPZxt/gADJhOHHBprRT376pVzSKGYijOam4Du4bPmn5NlxBbfA6HJj6n8ET+OCdrKyjPOHuNX\nhmKOE7dhIBBUFGs89no9rd6OuDikK3FoHtMbjH2GegwDj6HTN4FzyKdpI8TCr279PsGWD/DRiy6j\nKNMxo8csSS+h2duMbuhD1yXEodJR4pDTZubea1ZwLFwFKHEoGZy3OCSEKAN+A9whpTw27HqnEMKV\n+Bm4ARh34tlSYylOKktQRDeZDFIrl6W6lEXFW7IUA21JTSpLIIRgbZFbhVIrFjX76nvZWOZB06Yv\nnuxu2Q3AFcVXzFZZScEqdMp96RhC8oZdtRzPNvvif2Nf4EKyGKBctE+xx8LhskAQh2HwnDONjdpx\nDjb1E9XHdzcoFAowDEmbyY5Lh5u0PbiN2PtlYIrWskA0QNoEbWUWzcKOqh1c4Q9QGW9HMhELql5d\nrBE1JI39beQlnEMBJQ7NVxLCXbau49GNidvKNG3IOQTw+J4glsAW7r5qxYwfs8RVQtSIjggtP9N/\nBpMwURyNjtn+tq1l5ERix0YJEUlx7kxnlP3PgFeB1UKIJiHEJ4QQdwsh7o5v8iUgG/juqJH1+cDL\nQogDwB7gaSnlH2bhOSw4alsHSLOaKM9KS3Upc44QMfeQcg4ll8Tfc+0SdA5BLJT6RIeXYESfemOF\nYoExEIzwVvsgm2cYRv1qy6sUOAu4IOOCWaoseVwaGkQaFv7sWHrfi3NNjd2GwzA4HtjEJu0Yi8ms\nZZeSKwJBnk9zUK0dJxDROdo2mOqyFIp5y666dnRTiE1GM5qQZMTFof7Q5CfcAtEADmNi4fXTGz/N\n99o7Gd6ElGnLRBde3lVdQMDoJy1qJsvQ6Q31YkzQoqZILUPOId3Ao+v0TdBW5hcCZ/z10GDk8eSB\nFm6/uGxG01UTjDfOvq6njhWZK8adumq3mLhX7ELqNt5sWhwZeqlkOtPKbpNSFkopLVLKEinlo1LK\nh6SUD8Vvv1NK6YmPqx8aWS+lPCWlrI5f1kopvzbbT2ahUNsywJoC14zOAC8mKkU9R2UpUZnsPPSl\nS60sx4WfErG487omYm1RBlFDcqxdLQIUi48DjX1ICZvKM6e9T9SI8lrra1xWdBliAaz+LxIn0f3L\neckx/bY5xblRY7NRGdQ5LUsWTd7QcLb5/HSazTjtpwBU7pBCMQFSSh54oRahhdkYSwJJinNoIjx2\nD33BPm6/PAshJMfDa3DrBoY0VJDwPCURFp6l62QakzuHEuLQ9/W/wKxp3Hnl8nN6zKFx9vHcIQnU\ndteyNnvthPt80PQiWiSDvS0nz+kxFWdRq/M5RkpJXevAkmwpS1Cp1RPCyilZmOpSFg21RjkVon5R\nnQGeCYn3U6JlU6FYTOyt70UI2FA6fXHoSPcRBsODXFp06SxWljw2aieIelfRZoUmNY521vAJwTGr\nhZxg7DNz8yIUh67yBzBLyYH0EDnpVjWxTKGYgFdOdHOkrQ2A7HjWUIY+tXPIkEbcOTQzcSjDlkFv\nqBeHPTZVd094CzYjthT1Rrwzrl8x+/QGexEIMgyDDMNgQJsoc0iQLiUdMpNf6ldzy5YS8t32c3rM\n/LR8zJqZM/1nAGgwm+kJ9kwqDtlFhPJomJ5wK8fVieLzQolDc0xTb4DBUJSKwqUrDq0VZwBU7lCS\nMKSgTpYvybyhBOVZaaRZTdS1qi8ExeJjX0Mfq/NduOzjGarHZ3fzbgSCSwoumcXKkkeB6CXLlwfA\nbsfMwisV0+egzYohBFF/OWaiVIlTqS4p6bik5JJAkOecaWwozWR/g3IOKRTj8aMffhePKZbrkpgm\nNh3nUMLl45ykrWw8PLaYc6gzEHO5D0bzORKNTbIaDI9z/HZfRuwyU851P8UYeoI9eOweTMT+vwOa\nxtjUn3ggtWHwP9HriWDirv3vnd7/wej/q/syMH8lm3V+H/v2PgTAi2mxY4IrSibPT7w42oZm6eHR\n+/9p5o97viyi15wSh+aYxESlyiUsDi0XrVgJq9yhJNEg8/BjX5KTyhJommBNgYta5RxSLDIMQ7K/\noZdNMxxhv7tlN2uz15Jpn77bKNVsjnYjIi52O87tbKNiamrsNoSUNAeqqRT1OEQ41SXNCtt9fpot\nZsoK+zjd5aPXtzifp0JxrjR0+3nO2Mi11tjggszR4tAk08p8kZjzZ6ZtZZn2THpDvXT4OwBYo/fw\nYjR2AkM5h+YnvcHeobH0icBp36hYFEMa+IXAYcD/6tdxnVZDudZxXo+7ORjkiM2KTwh+l+5ktWc1\nxenFk+6zMupHaFF+IzbQ5Q2d1+MvZZQ4NMfUtQ4gBKwucKW6lJRhETqrRRNHlHMoKdTKmMi2lJ1D\nABWFbupaB5AzPFhRKOYzp7p8DAajM2opGwgPcKjrEJcVXzaLlSWfTdpJQt41vOZwjHtmUnH+1Nhs\nrAxHOBKtWJR5Qwmu8QfQpMRv3g/A/kbVWqZQDOenr53BhMEWS+w94omPDTcDTotzUueQLxoTh9LP\nwTkUMSKc7j+NJjTu5E+0RGML/vGcQ4+nO/lfl8qhSyU9wR6yHFnA2f9v36jWskA0gBSCRr2ELjK5\nw/TH837ca/wBokJwd0EeR21Wbq+4fcp9SuKTzHTLIP/7esN517BUUeLQHFPbOsAFOU7SrOZUl5JS\nEhPL1Dr+/Kk1Yu0BK0VzqktJKRWFbgaDUZp6A6kuRaFIGgebYi0xMxGH3mh9A13qXFa0sMShjdpx\ndN8qfJrgkG3mE04Uk6MDB+02Lgha8GOnWlu8wZ1ZhsGWYIja/lfQBKq1TKEYRiCs8/M3GrlRewNp\nih0zJbKGAFxW16y0lWXaYt9jtd215KXl8U5tDx4j5vBIuJEStJhNfCk3m2/kZNFoXtprplTSE+wh\nyz5SHPKKkfKBNxxzfe2LrGOZaOMq7dB5P+6GUJiLAkFq7DY2BoP8xYq/mHKfkkhMHFpjO8DP32hE\nn2EmliKGEofmmLrWgSXdUpZgrThDLy7ayEp1KQueWlnOCtGCXURSXUpKSeR4qVBqxWLiQGMfaVYT\nK3Knf/Z0d8tu0sxpVOVWzWJlyWetOIPwLUNIeEXlDiWdExYLXk3DEcgFWJR5Q8PZ5vNzeuAUK4r8\n7FOh1ArFEL+taWYgGOWj5j/SZ4oNAMgYJvS4re5JxaFEC9i5TCuD2MCEImcRFqHzTmoAaOrvGbHt\nAZtt6OdXVatxyugNnW0rc8bFFu8o51DCSVZvlPFh0y40kRxR5oH2Tu5v7+Shtk4s2tSZi0XRKEJK\nLrQeorkvwJ+OLc0JzueLkmLnkP5AhKbeALdtLUt1KSkn0QJVa5RTaOqZYmvFZNQa5Vyq1Sbt/nxC\nUGezUme1cspips1spt1swqtphBFEBTikJN0wyNINyiMRlkWiVITDVIVC2FIk1K8pcCEE1LUOcsPa\ngtQUoVAkmQNN/awrzsCkTW8UoZSSV1peYWvh1mkdTM0n7CJCpeygJZjNHkcQlNkjqRywxxZb3sCF\nuPBxgWhLcUWzyzZ/gG8AmblHOVDnRjfktN9HCsVi5n9eq2dNgYuLet/iOc2DSzdGLAjdVve0Modm\n6hwqdMamFIf00FB+zIfEK/waO6+daeYvN5zd9rjVgklKzFJy3LqwvssWCxEjQn+o/2xbmYw7h0Z9\njvrCsdeD1dB4v+lPSXt8p5Rc659+N4AVyNd17NYOctJt/O+eBq5dk5e0epYKShyaQxKOhqU8xj7B\nGhHrBT0il7GN/SmuZuHSI120kX1eeUMGcMBm5WWHg1cddg7brEgR++DP1HUKozolkSguw8AmJSbA\nLwReTaPLZOIZZxoD8TNPVkNSFQpxrT/AjT4/+bqehGc5PZw2M8uyndS2Tjx+VaFYSISjBrUtA3zs\n8mXT3qdxsJFmbzMfXfvR2StsFtmoneCEbw2HsrvwCzHjM9OKidlvt5ET1TkeWkeVdjppZ3fnK/m6\nTnVuNR2D+/CGNnG8Y5A1Ber4S7G0OdLSz5GWAb78rrWIP0KfSSPDGHms5ra6aRicOLMl0VaWPsO2\nneGBwoXpMaFolegAuYya5rYRAu4Ji4XySJQ0aXDGoparqaA/FDuezrJNnjnUE4itby/lBBliZHvg\nXFMSidJi0Xj/lhIe/tMp2vqDFGQo59lMUO+2OSQhDq1VbWWkiyDLRJuaWHae1BkxF9pMJ5VJ4C2r\nhaedTnamp9FhNqNJSVUozF19A6wPhagIh8nVpz4rJIEeTeOg3cabdhuv2e18K9vDv2VlsiUY4raB\nQa7zBzCdw/ObKRWFLg43q7YyxeLgrbZBwrpBVcn0x6PubolNnrm86PLZKmtW2aQd56f+G9FyXqHG\nbuOyQDDVJS0a9ttsrA+F2SnL2KE9nepy5oTry67n23u/jbD0UNPQp8QhxZLnl282YTVp3LyhCP4I\n/ZpG5igH0FSZQ0PTymboHEq3nm2PXp6xHAABpJmd9IW9/Ol4J9eujjk96i0WLohEcEjJm3bbeHen\nmGW6A93A2XbAs21lI51DfzrZBMDbOTCH1Y1PUTTKHoedr15UxvdePMkv3mzkM9tWpbqsBYXKHJpD\nalsGyHZayXWpDzmI5UuoiWXnR2JSWYU2vVT+MPBkupMPFuXz/uJC/ifDRWUozL92dPHnhiZ+2trO\nJ/v6uSoQnJYwBLEv9mzD4Fp/gM/19PHrljaeamzh3r5+Wsxm/iY/l3eUFPGYO53ZHiZcUeCmocfP\nYHBp5y8pFgcH4mHU1SXTD6Pe3bKb4vRiSl2ls1XWrLJRnED3l6NJeF0tCJJGp0mj2WKmIJBOFDNV\niziMejjbyrcBkO6p40CTcpUqljbhqMETNc1sX5tPZlos9L/fpI0IowZw29zjTg9LMNRWdg7Ozr9c\n/5fkOfJGDEy+xCG8AAAgAElEQVTwONzYbWF+NmzCVJdJI0fXWRaJ0GY24xeqJXSu6Q3FstoS4tCQ\nc2hUIPXLJ2IDcS6Wqc+xy9YNuk0mSrMcXLkqh5+/0YihgqlnhBKH5pDa1gEqi9wI9QEHxHKHGmUe\nA1IFj54rtUY5BXSTJSb+EgcY0ATfy3SzvayYf8jNJiQEX+zq4YWGZh7o6OLtPj/uJH54LotGubtv\ngKebWvjP9k7y9SjfzM7iXSVFPOVMY2bnmqZPomXzrbbJ/x4KxULgQGMfWU4rJZ7pfUZGjAh72vZw\nWdFlC/Z7pkR04pFh3MFM3rArK3iyqEmEuwZKANiwRMShUlcpa7LW4Myq5UCjCrFSLG2eq2un1x/h\n/ZtLhq7r07QRYdQQaysLRANEjPFPtPkiPjShYT8Hcegzmz7Dc7c+NyQ4QMypVOCB54920OMLEwEG\nTCaydZ2i+ASqdvNc+M8Vw+kNxsShxLSyNCkRUjI4rK2sodvPqZ6Yw+hcxMJkk6PrRIRgMDLILZtL\naO4LsOeMyradCUocmiMiusHxdq+aVDaMRCvUUakCus+VWlk+ad5QQhR6W0kx3/Vksj4U5uHWdh5v\nbuO2Qe8YK3GyMRELBf1RawcPtXXgMgy+mJfDRwrzOW5JfsBgYmJZrZpYplgEHGzqp7okY9pCz8HO\ng/givgU3wn44QkC1dhLdt4JamxXvAhW55hs1dhtWQ9LurySPXgrE0pnedX3Z9fjESY51NRMIz10O\nnkIx3/jFm40UuO1cuSp36Lp+zUTmaOeQNXYsNVEotS/iw2l2kqxPZ6fFSUaaTtSQPH2whZ54jmW2\nbgxlV3aYJheHjlitPHnySeQ8ECgWCz3BmKiSEPIEsZyp4ZlDv9rXhNBCwFlnUSrJjr9eugJd3FBZ\ngNNq4vF9zSmuamGhMofmiJOdXsK6MbR4VUDFsIllW7W3UlzNwiMoLZyURWzX9o69TQh+4nbxoww3\ngyaNbT4/d/f1syacmnYrAVweCHJpoI2n0p38W1YmtxYX8LH+Ae7p7ceapMcpzLCT4bCocfaKBY8v\nFOV4xyBvWzds8t59k2cP7c7MwJTpZuuPb4EFbKOuEid52bcBR85e9tl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gJxPc/nZgVfxy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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Here goes your code\n", "\n", "\n", "# Hint: scipy.stats.norm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "# Ex 4 \n", "Using **KernelDensity** module from **sklearn.neighbors** package calculate and plot kernel density estimates of density $F$ and simplified toy distribution. Choose $h = \\frac{1}{20}$ and: \n", "a) Tophat kernel, \n", "b) Gaussian kernel, \n", "c) Exponential kernel, \n", "d) Linear kernel, \n", "e) Cosine kernel. \n", "\n", "More information on these kernels and KernelDensity package can be found here: \n", "https://scikit-learn.org/stable/modules/density.html" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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zzuPTTz9l5MiR9OnThzlz5oTnTTMxx44DYyLTiSV/59LSSSz0HchgWRPUc0Tg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\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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#hint: KernelDensity(), kde.fit(), kde.score_samples()\n", "#hint: kde.score_samples() returns log of density!\n", "\n", "from sklearn.neighbors import KernelDensity\n", "\n", "sample = accept_rejection_sampling(dist, size = 500)\n", "sample_toy = [0.125, 0.425, 0.475, 0.675, 0.775]\n", "\n", "\n", "# Here goes your code\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It can be shown, that for a kernel $K$ and distribution $f$, assymptotically optimal $h$ is given by:\n", "\n", "$$h_{*} = \\left( \\dfrac{c_{2}}{c_{1}^{2} A(f) n} \\right)^{\\dfrac{1}{5}} $$\n", "where $n$ is the number of samples, and: \n", "$c_{1} = \\int x^{2} K(x) \\ dx,$ \n", "$c_{2} = \\int K^{2}(x) \\ dx,$ \n", "$A(f) = \\int (f''(x))^{2} \\ dx $.\n", "\n", "\n", "It is though completely unpractical, as it requires the knowledge of the distribution $f$, which we're trying to estimate. For practical purposes, there exist two rules of thumb for a *good* bandwidth of gaussian kernel, which are basing on sample's $X$ properties:\n", "\n", "Silvermans rule:\n", "$$ h_{*} = 0.9 \\min \\left\\lbrace \\frac{IQR(X)}{1.34}, \\sigma(X) \\right\\rbrace n^{-\\dfrac{1}{5}} $$\n", "Scotts rule:\n", "$$ h_{*} = 1.06 \\min \\left\\lbrace \\frac{IQR(X)}{1.34}, \\sigma(X) \\right\\rbrace n^{-\\dfrac{1}{5}} $$\n", "\n", "\n", "\n", "\n", "\n", "# Ex 5\n", "Calculate an optimal bandwidth $h$ for $F$ distribution, $n=500$ and: \n", "a) Tophat kernel, \n", "b) Gaussian kernel, \n", "c) Exponential kernel, \n", "d) Linear kernel, \n", "e) Cosine kernel. \n", "\n", "Does the ratio of these bandwidths depend on the distribution? Can you derive Silverman and Scotts Rules for other kernels than gaussian? \n", "\n", "Plot kernel density estimates as in the previous exercise (you may skip toy distribution), but this time with respective optimal bandwidths. \n", "\n", "This is not calculus course, feel free to use wolfram alpha, mathematica etc." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Tophat h: 0.06790357019008923\n", "Gaussian h: 0.033972156856545116\n", "Exponential h: 0.025131598364836878\n", "Linear h: 0.08262022158178547\n", "Cos h: 0.0772858644757771\n" ] } ], "source": [ "# Here goes your code\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Silverman rule:\n", "0.0690283755808\n", "Scott rule:\n", "0.0813000867952\n" ] } ], "source": [ "# Here goes your code\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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AJkdlKhskURMiL/JSnr85sAbYjvPHFoARQBkArfVUVzL3CdAOZ3n+flrrK9be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\n8HzlaD4Ld9I0K5vJx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9T05L3zjlLqbGaMYfKvk/l699fc2/5eall68eAPvzPswvO4MqZm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\nPBilFHkOJ0u2n+SzdfFsO5aGQcG1TSN5us9VRNe6Mtdkk0StDPx28Axz1h9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EKfWaUspS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8vBuDXjGLBwAN/++S1OV8n9eAshRGWwyhnDvfanqasS+dL8YoFJ2l6ziSeqRXBT7Zr87O/H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QbAHRadG03diWU/Gn9I4khCikZm46zq6k9zEH7OT1Sq8zreE0XI2uescqMgKcThZFWWiY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\nT06pnTHvrOfe9zaS2GQvYc3/R9fELvzfJf+HxWg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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Here goes your code\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Error evaluation\n", "\n", "## Ex 6\n", "The goal of this exercise is to show how does an error decreases with an increase on $n$, the sample size.\n", "\n", "For $n$ from 10 to 1000 with the step of 1000 calculate: \n", "a) Error of gaussian kernel density estimation with an optimal h, \n", "b) Error of gaussian kernel density estimation with a rule of thumb h, \n", "c) Error of histogram estimation with an optimal binning, \n", "d) Error of histogram estimation with a rule of thumb binning, \n", "\n", "\n", "Scale all the errors so that error for $n=10$ is equal to one. Then, plot the inverse of optimal errors and the inverse of rule of thumb errors.\n", "\n", "If you have resources, calculate errors few times and average to get smoother curves. You can approximate errors by taking a square of densities' differences in many points.\n", "\n", "Try to guess what is the dependence of error on $n$ in the case of kernel and histogram." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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UrK+KSG2i/ChSvRQ7LFv3Z9GhSdAJh+Hfn5FHkJ8XdXxPvvFfbkEx78cmMLxz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\n+Z/wFSz70M2Letu3MPtFWD7WPX/gv6HlBYefE14JOlztfkRETlFJFHB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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Here goes your code\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here comes your guess on $n$ and error relation:\n", "\n", "$$Error_{histogram} \\sim ?$$\n", "$$Error_{kernel} \\sim ?$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Multidimensional KDE\n", "\n", "KDE extends naturally to higher dimensions:\n", "\n", "$$\\widehat{f}(x) = \\dfrac{1}{n \\sqrt{|H|}} \\sum_{i-1}^{n} K \\left( H^{-1}(x-X_{i}) \\right),$$\n", "\n", "This puts ad-dimensional “bump” at each data point. The matrix $H$ controls the size and shape of the bump. \n", "\n", "\n", "\n", "Like before, we also have rules of thumb for the matrix $H$:\n", "\n", "Silverman's rule:\n", "\n", "$$ \\sqrt{\\mathbf{H}_{ii}} = \\left(\\frac{4}{d+2}\\right)^{\\frac{1}{d+4}} n^{\\frac{-1}{d+4}} \\sigma_i $$ \n", "\n", "Scott's rule:\n", "\n", "$$\\sqrt{\\mathbf{H}_{ii}} = n^{\\frac{-1}{d+4}} \\sigma_i,$$\n", " \n", "where in both cases: $\\sigma_i$ is the standard deviation of the ith variable and $\\mathbf{H}_{ij} = 0, i\\neq j$.\n", "\n", "Finally, a relation between number of samples and error for d-dimensional kernel estimation is:\n", "\n", "$$Error_{d} \\sim n^{-\\dfrac{4}{5+d}}$$" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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1/s/r7gFh4wunRnE5us+ZiIiIiBSfPV/DD+/ZAy0K26GN9nTD4nC5+iNmwyuN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bMs+qOa1BgmzZxAh93DrqZQGIgQZwLBlESIM4HgRMLRrkTlu3vhhpcgrXSyTySYYvS6fJEdq11N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\nSzHGsC01v2ry6V+LDPZj0sD2J1VmERERERFvoYQgzdmhwGzpi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