{ "cells": [ { "cell_type": "markdown", "metadata": { "nbpresent": { "id": "151ace28-1df8-4b52-baf0-4f792e91d5ff" }, "slideshow": { "slide_type": "slide" } }, "source": [ "$\\newcommand{\\Reals}{\\mathbb{R}}\n", "\\newcommand{\\Nats}{\\mathbb{N}}\n", "\\newcommand{\\PDK}{{k}}\n", "\\newcommand{\\IS}{\\mathcal{X}} \n", "\\newcommand{\\FM}{\\Phi} \n", "\\newcommand{\\Gram}{G} \n", "\\newcommand{\\RKHS}{\\mathcal{H}}\n", "\\newcommand{\\prodDot}[2]{\\left\\langle#1,#2\\right\\rangle}\n", "\\DeclareMathOperator*{\\argmin}{arg\\,min}\n", "\\DeclareMathOperator*{\\argmax}{arg\\,max}$\n", "\n", "
\n", "

Tutorial on modern kernel methods

\n", "
\n", "
\n", "
\n", " Ingmar Schuster

\n", " (Zalando Research)\n", "
" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Overview\n", "- Introduction\n", "- Feature engineering and two simple classification algorithms\n", "- Kernels and feature space\n", "- Applications\n", " - mean embedding, conditional mean embedding and operators\n", " - Training GANs\n", " - Regression with uncertainty estimates\n", "- Conclusion and outlook\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Introduction" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Kernel methods\n", "- Support Vector Machines (SVMs) are a staple for classification\n", "- Gaussian Processes (GPs) very popular for regression\n", "- kernel mean embedding of distributions/conditional distributions\n", "- recent techniques for representation learning/unsupervised learning \n", " * Deep Gaussian Processes\n", " * Compositional Kernel Machines\n", "- very elegant mathematics" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "nbpresent": { "id": "aa569eb6-ea77-4a63-89bf-c6e50dea77f7" }, "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "### FIRST SOME CODE ####\n", "\n", "from __future__ import division, print_function, absolute_import\n", "from IPython.display import SVG, display, Image, HTML\n", "\n", "import numpy as np, scipy as sp, pylab as pl, matplotlib.pyplot as plt, scipy.stats as stats, sklearn, sklearn.datasets\n", "from scipy.spatial.distance import squareform, pdist, cdist\n", "\n", "import rkhs_operators as ro\n", "\n", "import distributions as dist #commit 480cf98 of https://github.com/ingmarschuster/distributions\n", "\n", "pl.style.use(u'seaborn-talk')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Gaussian Processes\n", "- model for functions/continuous output\n", "- for new input returns predicted output and uncertainty" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": { "image/png": { "width": 630 } }, "output_type": "display_data" } ], "source": [ "display(Image(filename=\"GP_uq.png\", width=630)) #source: http://scikit-learn.org/0.17/modules/gaussian_process.html" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Support Vector Machines\n", "- model for classification\n", "- map data nonlinearly to higher dimensionsal space\n", "- separate points of different classes using a plane (i.e. linearly)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": { "image/png": { "width": 700 } }, "output_type": "display_data" } ], "source": [ "display(Image(filename=\"SVM.png\", width=700)) #source: https://en.wikipedia.org/wiki/Support_vector_machine" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Feature engineering and two classification algorithms" ] }, { "cell_type": "markdown", "metadata": { "nbpresent": { "id": "facddd6a-d4b1-4885-bade-ce2aae8a72be" }, "slideshow": { "slide_type": "slide" } }, "source": [ "# Feature engineering in Machine Learning\n", "\n", "* feature engineering: map data to *features* with function $\\FM:\\IS\\to \\RKHS$\n", " - handle nonlinear relations with linear methods ($\\FM$ nonlinear)\n", " - handle non-numerical data (e.g. text)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "nbpresent": { "id": "65cfcee8-427f-45f2-8825-5251c9ee0763" }, "scrolled": false, "slideshow": { "slide_type": "fragment" } }, 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\n", "text/plain": [ "" ] }, "metadata": { "image/jpeg": { "width": 800 } }, "output_type": "display_data" } ], "source": [ "display(Image(filename=\"monomials_small.jpg\", width=800)) #source: Berhard Schölkopf" ] }, { "cell_type": "markdown", "metadata": { "nbpresent": { "id": "39211b06-42c0-4c68-bbc0-eb5c00376df0" }, "slideshow": { "slide_type": "slide" } }, "source": [ "### Working in Feature Space\n", "- want Feature Space $\\RKHS$ (the codomain of $\\FM$) to be vector space to get nice mathematical structure\n", "- definition of inner products induces norms and possibility to measure angles\n", "- can use linear algebra in $\\RKHS$ to solve ML problems\n", " - inner products\n", " - angles\n", " - norms\n", " - distances\n", "- induces nonlinear operations on the Input Space (domain of $\\FM$)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Two simple classification algorithms\n", "- given data points from mixture of two distributions with densities $p_0,p_1$:\n", "$$x_i \\sim 0.5 p_0 + 0.5 p_1$$\n", " and label $l_i = 0$ if $x_i$ generated by $p_0$, $l_i = 1$ otherwise" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "figkw = {\"figsize\":(4,4), \"dpi\":150}\n", "np.random.seed(5)\n", "samps_per_distr = 20\n", "data = np.vstack([stats.multivariate_normal(np.array([-2,0]), np.eye(2)*1.5).rvs(samps_per_distr),\n", " stats.multivariate_normal(np.array([2,0]), np.eye(2)*1.5).rvs(samps_per_distr)])\n", "distr_idx = np.r_[[0]*samps_per_distr, [1]*samps_per_distr]" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f = pl.figure(**figkw);\n", "for (idx, c, marker) in [(0,'r', (0,3,0)), (1, \"b\", \"x\")]:\n", " plt.scatter(*data[distr_idx==idx,:].T, c=c, marker=marker, alpha = 0.4)\n", "pl.show()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Classification using inner products in Feature Space\n", "- compute mean feature space embedding $$\\mu_{0} = \\frac{1}{N_0} \\sum_{l_i = 0} \\FM(x_i) ~~~~~~~~ \\mu_{1} = \\frac{1}{N_1} \\sum_{l_i = 1} \\FM(x_i)$$\n", "- assign test point to most similar class in terms of inner product between point and mean embedding $\\prodDot{\\FM(x)}{\\mu_c}$\n", "$$f_d(x) = \\argmax_{c\\in\\{0,~1\\}} \\prodDot{\\FM(x)}{\\mu_c}$$\n", " (remember in $\\Reals^2$ canonically: $\\prodDot{a}{b} = a_1 b_1+a_2 b_2 $)\n", " " ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "nbpresent": { "id": "9cf40433-1214-467e-a61d-1e15c8ca2f2a" }, "scrolled": false, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pl.figure(**figkw)\n", "for (idx, c, marker) in [(0,'r', (0,3,0)), (1, \"b\", \"x\")]:\n", " pl.scatter(*data[distr_idx==idx,:].T, c=c, marker=marker, alpha=0.2)\n", " pl.arrow(0, 0, *data[distr_idx==idx,:].mean(0), head_width=0.3, width=0.05, head_length=0.3, fc=c, ec=c)\n", "pl.title(r\"Mean embeddings for $\\Phi(x)=x$\");" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pl.figure(**figkw)\n", "for (idx, c, marker) in [(0,'r', (0,3,0)), (1, \"b\", \"x\")]:\n", " pl.scatter(*data[distr_idx==idx,:].T, c=c, marker=marker, alpha=0.2)\n", " pl.arrow(0, 0, *data[distr_idx==idx,:].mean(0), head_width=0.3, width=0.05, head_length=0.3, fc=c, ec=c)\n", "pl.title(r\"Mean embeddings for $\\Phi(x)=x$\");\n", "pl.scatter(np.ones(1), np.ones(1), c='k', marker='D', alpha=0.8);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Classification using density estimation\n", "- estimate density for each class by centering a gaussian, taking mixture as estimate\n", " $$\\widehat{p}_0 = \\frac{1}{N_0} \\sum_{l_i = 0} \\mathcal{N}(\\cdot; x_i,\\Sigma) ~~~~~~~~ \\widehat{p}_1 = \\frac{1}{N_1} \\sum_{l_i = 1} \\mathcal{N}(\\cdot; x_i,\\Sigma)$$\n" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "# Some plotting code\n", "\n", "def apply_to_mg(func, *mg):\n", " #apply a function to points on a meshgrid\n", " x = np.vstack([e.flat for e in mg]).T\n", " return np.array([func(i.reshape((1,2))) for i in x]).reshape(mg[0].shape)\n", "\n", "def plot_with_contour(samps, data_idx, cont_func, method_name = None, delta = 0.025, pl = pl, colormesh_cmap = pl.cm.Pastel2, contour_classif = True):\n", " x = np.arange(samps.T[0].min()-delta, samps.T[1].max()+delta, delta)\n", " y = np.arange(samps.T[1].min()-delta, samps.T[1].max()+delta, delta)\n", " X, Y = np.meshgrid(x, y)\n", " Z = apply_to_mg(cont_func, X,Y)\n", " Z = Z.reshape(X.shape)\n", " \n", "\n", " fig = pl.figure(**figkw)\n", " if colormesh_cmap is not None:\n", " bound = np.abs(Z).max()\n", " pl.pcolor(X, Y, Z , cmap=colormesh_cmap, alpha=0.5, edgecolors=None, vmin=-bound, vmax=bound)\n", " if contour_classif is True:\n", " c = pl.contour(X, Y, Z, colors=['k', ],\n", " alpha = 0.5,\n", " linestyles=[ '--'],\n", " levels=[0],\n", " linewidths=0.7)\n", " else:\n", " pl.contour(X, Y, Z, linewidths=0.7)\n", " if method_name is not None:\n", " pl.title(method_name)\n", " for (idx, c, marker) in [(0,'r', (0,3,0)), (1, \"b\", \"x\")]:\n", " pl.scatter(*data[distr_idx==idx,:].T, c=c, marker=marker, alpha = 0.4)\n", "\n", " pl.show()\n", " pl.close()" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "est_dens_1 = dist.mixt(2, [dist.mvnorm(x, np.eye(2)*0.1) for x in data[:4]], [1./4]*4)\n", "plot_with_contour(data, distr_idx,\n", " lambda x: exp(est_dens_1.logpdf(x)),\n", " colormesh_cmap=None, contour_classif=False)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "est_dens_1 = dist.mixt(2, [dist.mvnorm(x, np.eye(2)*0.1,10) for x in data[:samps_per_distr]], [1./samps_per_distr]*samps_per_distr)\n", "plot_with_contour(data, distr_idx,\n", " lambda x: exp(est_dens_1.logpdf(x)),\n", " colormesh_cmap=None, contour_classif=False)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Classification using density estimation\n", "- estimate density for each class by centering a gaussian, taking mixture as estimate\n", " $$\\widehat{p}_0 = \\frac{1}{N_0} \\sum_{l_i = 0} \\mathcal{N}(\\cdot; x_i,\\Sigma) ~~~~~~~~ \\widehat{p}_1 = \\frac{1}{N_1} \\sum_{l_i = 1} \\mathcal{N}(\\cdot; x_i,\\Sigma)$$\n", "- assign test point $x$ to class $c$ that gives highest value for $\\widehat{p}_c(x)$\n", "- $\\widehat{p}_c$ is known as a **kernel density estimate** (KDE)\n", "- different but overlapping notion of 'kernel'\n", "- classification algorithm known as **Parzen windows classification**" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "

For a certain feature map and inner product, both algorithms are the same!

\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "
Let's construct this feature map and inner product.
" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Kernels and feature space" ] }, { "cell_type": "markdown", "metadata": { "nbpresent": { "id": "80bb4b95-6e30-469a-b2cf-ffd1b507805d" }, "slideshow": { "slide_type": "slide" } }, "source": [ "## Positive definite functions and feature spaces\n", "\n", "- let $\\PDK:\\IS\\times\\IS \\to \\Reals$, called a *kernel*\n", " * if $\\PDK$ is a symmetric and *positive semi definite (psd)* \n", " * then there exists $\\FM: \\IS \\to \\RKHS$ to a hilbert space $\\RKHS$ such that $$\\PDK(x_i, x_j) = \\prodDot{\\FM(x_i)}{\\FM(x_j)}_\\RKHS$$\n", " i.e. $\\PDK$ computes inner product *after mapping* to some $\\RKHS$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Gram matrix (1)\n", "- If all matrices\n", "$$\\Gram_{X}=\\begin{bmatrix}\n", "\\PDK(x_1, x_1) & \\dots & \\PDK(x_1, x_N)\\\\\n", "\\PDK(x_2, x_1) & \\ddots & \\vdots\\\\\n", "\\vdots & & \\vdots\\\\\n", "\\PDK(x_N, x_1) & \\dots & \\PDK(x_N, x_N)\n", "\\end{bmatrix}$$\n", "are symmetric positive semidefinite, then $\\PDK$ is a psd kernel\n", "- called a *gram matrix*" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Gram matrix (2)\n", "- sometimes mixed gram matrices are needed\n", "$$\\Gram_{XY} = \\begin{bmatrix}\n", "\\PDK(x_1, y_1) & \\PDK(x_1, y_2) & \\dots & \\PDK(x_1, y_M)\\\\\n", "\\PDK(x_2, y_1) & \\ddots & &\\vdots\\\\\n", "\\vdots & & &\\vdots\\\\\n", "\\PDK(x_N, y_1) & \\dots & &\\PDK(x_N, y_M)\n", "\\end{bmatrix} \n", "$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Examples of psd kernels\n", "- Linear $\\PDK_L(x,x') = \\prodDot{x}{x'} = x_1 x'_1 + x_2 x'_2+ \\dots$\n", "- Gaussian $\\PDK_G(x,x') = \\exp({-{ 0.5}(x-x' )^{\\top }\\Sigma ^{-1}(x-x' )})$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## PSD kernels\n", "- easy to construct $\\PDK$ given $\\FM$: $\\PDK(x_i, x_j) = \\prodDot{\\FM(x_i)}{\\FM(x_j)}$\n", "- construction for $\\FM$ given $\\PDK$ not trivial but still elementary\n", "- given $\\FM$ and inner product in feature space we\n", " * can endow space with norm induced by the inner product\n", "$$\\|g\\|_\\RKHS = \\sqrt{\\prodDot{g}{g}}_\\RKHS~~~\\textrm{for}~g \\in \\RKHS$$\n", " * can measure angles in the new space $$\\prodDot{g}{f}_\\RKHS = \\cos(\\angle[g,f])~\\|g\\|_\\RKHS ~\\|f\\|_\\RKHS$$\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Construction of the canonical feature map (Aronszajn map)\n", "\n", "Plan\n", "- construction of $\\FM$ from $\\PDK$\n", "- definition of inner product in new space $\\RKHS$ such that in fact $\\PDK(x,x') = \\prodDot{\\FM(x)}{\\FM(x)}$\n", "- feature for each $x \\in \\IS$ will be a function from $\\IS$ to $\\Reals$\n", "$$\\FM:\\IS \\to \\Reals^\\IS$$" ] }, { "cell_type": "markdown", "metadata": { "nbpresent": { "id": "df9eace4-d45b-4d9a-bf16-1eaa70581162" }, "slideshow": { "slide_type": "slide" } }, "source": [ "### Canonical feature map (Aronszajn map)\n", "- pick $\\FM(x) = \\PDK(\\cdot, x)$\n", " - Linear kernel: $\\FM_L(x) = \\prodDot{\\cdot}{x}$\n", " - Gaussian kernel: $\\FM_G(x) = \\exp\\left(-0.5{\\|\\cdot -x \\|^2}/{\\sigma^2}\\right)$.\n", "\n", "- let linear combinations of features also be in $\\RKHS$\n", " $$f(\\cdot)=\\sum_{i=1}^m a_i \\PDK(\\cdot, x_i) \\in \\RKHS$$\n", " for $a_i \\in \\Reals$\n", "- $\\RKHS$ a vector space over $\\Reals$ : if $f(\\cdot)$ and $g(\\cdot)$ functions from $\\IS$ to $\\Reals$, so are $a~f(\\cdot)$ for $a \\in \\Reals, f(\\cdot)+g(\\cdot)$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Canonical inner product (1)\n", "- for $f(\\cdot)=\\sum_{i=1}^m a_i \\PDK(\\cdot, x_i) \\in \\RKHS$ and $g(\\cdot)=\\sum_{j=1}^{m'} b_j \\PDK(\\cdot, x'_j) \\in \\RKHS$ define inner product \n", "$$\\prodDot{f}{g} = \\sum_{i=1}^m \\sum_{j=1}^{m'} b_j a_i \\PDK(x'_j, x_i)$$\n", "- In particular $\\prodDot{ \\PDK(\\cdot,x)}{ \\PDK(\\cdot,x')}=\\PDK(x,x')$ (*reproducing property* of kernel in its $\\RKHS$)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Canonical inner product (2)\n", "- $\\RKHS$ a hilbert space with this inner product, as it is\n", " * positive definite\n", " * linear in its first argument\n", " * symmetric\n", " * complete\n", "- $\\RKHS$ called *Reproducing Kernel Hilbert Space (RKHS)*." ] }, { "cell_type": "markdown", "metadata": { "nbpresent": { "id": "9d0c7200-6f4a-4d8d-9fd9-f5039b6d05dd" }, "slideshow": { "slide_type": "slide" } }, "source": [ "### Equivalence of classification algorithms\n", "- Recall mean canonical feature and kernel density estimate\n", " $$\\widehat{p}_0 = \\frac{1}{N_0} \\sum_{l_i = 0} \\mathcal{N}(\\cdot; x_i,\\Sigma) ~~~~~~~~ \\mu_{0} = \\frac{1}{N_0} \\sum_{l_i = 0} \\PDK(\\cdot, x_i)$$\n", "- observe\n", "$$\\frac{1}{N_0} \\sum_{l_i = 0} \\mathcal{N}(x^*; x_i,\\Sigma) = \\prodDot{\\frac{1}{N_0} \\sum_{l_i = 0} \\PDK(\\cdot, x_i)}{\\PDK(\\cdot, x^*)}$$\n", "if $\\PDK$ is Gaussian density with covariance $\\Sigma$\n", "- kernel mean and Parzen windows classification are equivalent!\n", "\n", " \n", "**Lets look at example classification output**\n" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "class KMEclassification(object):\n", " def __init__(self, samps1, samps2, kernel):\n", " self.de1 = ro.RKHSDensityEstimator(samps1, kernel, 0.1)\n", " self.de2 = ro.RKHSDensityEstimator(samps2, kernel, 0.1)\n", " \n", " def classification_score(self, test):\n", " return (self.de1.eval_kme(test) - self.de2.eval_kme(test))" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "data, distr_idx = sklearn.datasets.make_circles(n_samples=400, factor=.3, noise=.05)\n", "\n", "kc = KMEclassification(data[distr_idx==0,:], data[distr_idx==1,:], ro.LinearKernel())\n", "plot_with_contour(data, distr_idx, kc.classification_score, 'Inner Product classif. '+\"Linear\", pl = plt, contour_classif = True, colormesh_cmap = pl.cm.bwr)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "kc = KMEclassification(data[distr_idx==0,:], data[distr_idx==1,:], ro.GaussianKernel(0.3))\n", "plot_with_contour(data, distr_idx, kc.classification_score, 'Inner Product classif. '+\"Gaussian\", pl = plt, contour_classif = True, colormesh_cmap = pl.cm.bwr)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Applications" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Kernel mean embedding\n", "- mean feature with canonical feature map $\\frac{1}{N} \\sum_{i = 1}^N \\FM(x_i) = \\frac{1}{N} \\sum_{i = 1}^N \\PDK(x_i, \\cdot)$\n", "- this the estimate of the *kernel mean embedding* of the distribution/density $\\rho$ of $x_i$\n", " $$\\mu_\\rho(\\cdot) = \\int \\PDK(x,\\cdot) \\mathrm{d}\\rho(x)$$\n", "- using this we can define a distance between distributions $\\rho, q$ as\n", "$$\\mathrm{MMD}(\\rho, q)^2 = \\|\\mu_\\rho - \\mu_q \\|^2_\\RKHS$$\n", "called the maximum mean discrepancy (*MMD*)\n", "- Has been used as the critic in generative adversial networks (i.e. generative network as usual, MMD as drop-in for discriminator)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Conditional mean embedding (1)\n", "- we can define operators on RKHSs\n", "- these are maps from RKHS elements to RKHS elements (i.e. mapping between functionals)\n", "- one such operator is the *conditional mean embedding* $\\mathcal{D}_{Y|X}$\n", " * given the embedding of the input variables distribution, returns the embedding of the output variables distribution\n", "- Regression with uncertainty estimate \n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Conditional mean embedding (2)\n", "An example" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "out_samps = data[distr_idx==0,:1] + 1\n", "inp_samps = data[distr_idx==0,1:] + 1\n", "def plot_mean_embedding(cme, inp_samps, out_samps, p1 = 0., p2 = 1., offset = 0.5):\n", " x = np.linspace(inp_samps.min()-offset,inp_samps.max()+offset,200)\n", " fig = pl.figure(figsize=(10, 5))\n", " ax = [pl.subplot2grid((2, 2), (0, 1)),\n", " pl.subplot2grid((2, 2), (0, 0), rowspan=2),\n", " pl.subplot2grid((2, 2), (1, 1))]\n", "\n", " ax[1].scatter(out_samps, inp_samps, alpha=0.3, color = 'r')\n", " ax[1].set_xlabel('Output')\n", " ax[1].set_ylabel('Input')\n", " ax[1].axhline(p1, 0, 8, color='g', linestyle='--')\n", " ax[1].axhline(p2, 0, 8, color='b', linestyle='--')\n", " ax[1].set_title(\"%d input-output pairs\"%len(out_samps))\n", " ax[1].set_yticks((p1, p2))\n", " e = cme.lhood(np.array([[p1], [p2]]), x[:, None]).T\n", " \n", " #ax[0].plot(x, d[0], '-', label='cond. density')\n", " ax[2].plot(x, e[0], 'g--', label='cond. mean emb.')\n", " ax[2].set_title(r\"p(outp | inp=%.1f)\"%p1)\n", " ax[0].plot(x, e[1], 'b--', label='cond. mean emb.')\n", " ax[0].set_title(r\"p(outp | inp=%.1f)\"%p2)\n", " #ax[2].legend(loc='best')\n", " fig.tight_layout()" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cme = ro.ConditionMeanEmbedding(inp_samps, out_samps, ro.GaussianKernel(0.3), ro.GaussianKernel(0.3), 5)\n", "plot_mean_embedding(cme, inp_samps, out_samps, 0.3, 2.,)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Conditional mean embedding (3)\n", "- closed form estimate given samples from input and output\n", "$$\\begin{bmatrix}\\PDK_Y(y_1, \\cdot),& \\dots &, \\PDK_Y(y_N, \\cdot)\\end{bmatrix} \\Gram_X^{-1} \\begin{bmatrix}\\PDK_X(x_1, \\cdot)\\\\ \\vdots \\\\ \\PDK_X(x_N, \\cdot)\\end{bmatrix}$$\n", " \n", "- closed form estimate of output embedding for new input $x^*$\n", "\n", "$$\\prodDot{\\mathcal{D}_{Y|X}}{\\PDK(x^*,\\cdot)} = \\begin{bmatrix}\\PDK_Y(y_1, \\cdot),& \\dots &, \\PDK_Y(y_N, \\cdot)\\end{bmatrix} \\Gram_X^{-1} \\begin{bmatrix}\\PDK_X(x_1, x^*)\\\\ \\vdots \\\\ \\PDK_X(x_N, x^*)\\end{bmatrix}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Conditional mean embedding (4)\n", "- Similar to Gaussian processes, but output distribution more flexible\n", " * mixture of Gaussians, Laplace, distributions on discrete objects\n", " * multimodality can be represented\n", " * multidimensional output\n", " * output can be combination of e.g. string and reals\n", "- Conditional mean embedding was used to construct *Kernel Bayes Rule*, enabling closed form Bayesian inference\n", "- other types of operators have been derived (see Stefan Klus' talk next week)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "HTML('')" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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mk928ebOlpcXV1dXKyqqH9lJRUSGRSLp9Fy+S979I3t/e2lTupIjBq/BnwSBOwnxnis5FZLW1tbdv32az2Z6engYGBiprHzx48ODBA4FAQG7Q75ykpKT58+enpaX5+/vjU+Th4WFurqaSSqXy5s2bLBZr7NixHXr+rJvfL+gPNF4S4Xlyr2dgYDBlypSe3ouDg0PXr55tUd8ffD98oYDFQQgJzDmZn4zWvtgBAwYQzfdt2dvb98S3bOpTxGAwJk6c2IlidfP7BQBBPAD0Mnbxstn+72eH1rc8/9PQ1uwhw6zWHPjJxYvuCgLQj0A8ADTDIaE2K7k2882ASCxLm2HbU7pWqo7Y2NjMnTsXmnFA3wDPD0BX3bx5My4uLjw8fNSoUXTXBQDQLpgvE/S4R48eiUSitkN4AgB6F4gHAAAAEIJ4ALqdxjnC1M7k1Y3Te1HPJgZzjQHQHogHoHtIpdL25gijmMmLYsKyyspKPp//1VdfEeV88sknfD4/MTGRSFm4cCHRibOxsRFPDsNms5lMJpfLXbhwIbl6MNcYANSgfxHoHmFhYe3NEdbeTF7UE5YNGzaMwWBcunTpo48+wrs4ffp0XV3dhQsXgoODEUJKpfLcuXPERX/dunUJCQmRkZFjx45FCFVVVRETG8BcYwBohe4Ze+icDAh0C41zhLU3k5fGCcsWL15saGiICykoKEAIzZ0718LCAq/NyMhACKWkpOBFExOTBQsWqK0hzDUGQCvMjwZ0RuMcYW1n8tI4YZm/v39zc/P169cRQlevXjU3Nw8PD6+pqSkuLkYI4fSpU6fizDweLz8//+HDh23rBnONAaAN+OsH3UPjHGFtZ/LSOGGZj48PQigrK2vKlClXr16dMWPG2LFjjYyMrl69+s4772RlZbm5uRGDBUVHRwcHBwsEgnHjxo0aNWrevHnTp0/Hq2CuMQC0AfEAdI/OzRFGPWGZlZWVs7NzVlZWVFRUenr6oUOHGAyGv7//1atX16xZc+PGjTVr1hAbBgYGenh4nDlzJj8//+TJk8eOHfP29s7IyOBwODDXGADagP8MoHtQzxGmljYTlvn6+n711VdisbilpQUPUefr67thw4aLFy8qFAqVQevs7e2joqIQQnK5/NNPPz18+HBqaiq+aYC5xgDQCJ4fgO5BPUeYWtpMWObr66tQKCIiIgQCAR6U1NfXt7m5eceOHUwmk/xIgIzFYi1duhT9r8EK5hoDQBsQD0D3oJ4jTC1tJiybPn06k8ksKCiYPHkyThk5cuTQoUMLCgomTpxIbu2ZNGlSQkJCSUmJVCotLCzcvn07Qsjb2xvBXGMAaAfiAege1HOEqaXNhGVcLhe/T0B+Guzr60v8S5DJZCtWrHB2djYyMnJ3dy8oKEhOTsZD7MFcYwBoA8Y3Bd2Jeo6wtpSNVU2lseU/Zz182mRrxXnLYQTXfS/D2KZze1cqlcXFxTU1NTY2NiNHjmybAeYaA/2ZxksixANAm5aa3LqcYJVEhrGN4bB5Rk6f0l07APoaGO8a6Cm1wQD9746hpSaX7goC0O9APAD0kFVSzYAmfwHxAABdg3gA6NFCecVvruwd82UC0JdAPAD0UDZWUa+lzgAA6HYQDwA9WIMnUGfodC8jAEDnQDwA9GBbjKdYazjsA7orCEC/A/EA0IP6/sDIaR3dFQSg34F4AOjBtphg6pXYtlGIYWyjNh0A0NNgfFNAG7bFhAFeic2V/yZ6EzGMbAZMTOxaqQCAToJ4AOjEMLYxcvoU3kYGQB9AexEAAACEIB4AAADAIB4AAABACOIBoMvNmzeDg4MLCwsp8hQWFgYHB+fl5dFdWQD6BYgHoKvy8/OXLFlSXFzcoa0ePXokEomqq6sp8lRXV4tEosePH/doTQAAGMQD0FWVlZWnTp2qqqJ/uCH9qQkAvRHEA9CzlEqlXC7XmE2bPCr5lUol3QcHQJ9CczwoLy8Xi8XXrl1raWnRmLlRHXrrD6KiokJCQhBCixYt4vP5fD7/008/RQg9e/Zs2bJlfD6fyWSy2eyBAwdu3rxZKpWqbC6VStesWcPhcNhsNp/P/+c//0m9O6lUunnzZisrKzabbWBgMHHixFu3blHXBACgJdreR6utrV23bl1OTg5eHDBgwL59+6ZMmdJe/paWFnd3d5VEExOT//znP3QdAkAIBQQE1NXVxcbGhoSEuLm5IYTwJPU///xzRUXFli1bbGxslEplVlbW3r17JRJJcnIyefOwsDBbW9uzZ88yGIzDhw8vX75coVCsXLlS7b6USuWMGTPy8vLWr1/v4eHR1NS0d+/eqVOn5ubmvvPOO+3VBACgrVaafPzxx46Ojv/617+kUml5efn777//9ttv//LLL+3ll8lkjo6OixcvTiP58ccfKXbh6OhI19H1K6mpqQihtLQ0cqJCoVDJtmfPHoTQo0eP8KJIJEIIubq6trS0EJu4u7tbWFgQ26alpSGEUlNT8eL+/fsRQpcvXybKrKurs7W19fPzo6gJAADTeEmk5/6gtLT0ypUrQUFBixYtQgg5ODjExsbOmDHjxIkTu3fvpthw2LBh/v7+tNQZdAiDwUAIKZXKsrIy/IAXN/fn5+cPGzaMyLZy5UoWi0Vs8tFHH61atSo9PX3mzJltyzx37pyzszN5FZfL9fPzO3nypFKpxHsEAHQaPfHgypUrCKHp06cTKQKBwMXF5dKlS9TxAPQikZGRsbGxDQ0N5MTm5mbyokAgIC/a2NgghF68eKG2wKKiIjMzs4CAAHKiRCJRKBQymYzD4dB9xOCNwsLCmJiYDRs2jB07tu0i0Fv0xIOKigqE0Pjxf5oRZcSIEXfv3n358uWgQYMoNgwPD1coFPhGYcSIEbTUH2gUFRW1e/fuXbt2BQYG2tvbs1gssVg8bdo0lWwd+lIvl8v5fP7cuXPbriJuMoA+wC+OBAUF4QCgsgj0Fj3/ixoaGlgsFpvNJicaGRkhhMrLy1XiBNn9+/cRQjU1Nd9///2RI0dCQ0PXrFlDyyEAaqdPn548eXJkZCSRUltb2zbbkydPyIu///47QsjExERtmQKBQCqVLlu2jO6DA6BvoqfJVSaTtf1iiFPa63jKZDITExOLiopEIpFYLE5PTx85cmR8fHxmZiYthwAI+Lu5SrtQfX29SrZjx4613fbrr79WWWSz2X5+fmp3JBQK7969KxaLO1QT0EVKpZLiVQ94EaQvoSceGBgYKBQKlUT8V6Vy0/BHRRmM0aNHE4t2dnZxcXEIIdylpD1O/xMfH0/LkfYHnp6eTCYzJiYmMTExKSkJvxAgFAqzs7NjYmJevHhx7969FStW5Ofnt932/v37q1atqqysrKysXLt2rVgsDg8P53K5ancUHh5ub28vFArj4uLKysrq6+uvXbu2c+fOtWvXUtQEdI5UKo2IiLC2tmYymUwmk8/nf/nll+S17b0IAvRKfHw8cRnUnJuWbk/r1693dHSUSqXkxE2bNjk6Ov7+++/al+Pm5ubt7d3pzlWguyQnJ7u4uOBYvnjx4tbW1t9++83b25v4M/Pz8zt79ixCSCQS4U1wf9NvvvmGyMZkMkNDQ8nFqvQ3xcUuWLCAyWQSJVtaWh44cICiJqATmpubJ0yYgBD6+OOPU1JSUlJSvvjii48//hivVSgUkydPNjIy+uyzz1JSUk6fPu3m5mZkZFRUVIQzqPzi2v4eAS00XhLpiQcnTpxwdHS8evUqOfH999/39PTUvhCFQvH222+///77nT540NPKy8szMjKePn2qTbaXL19qWWxzc3NWVpY2JYPOwd38jh49qnatxhdB9DYeFBQUzJ8///bt23RXhB4aL4n0tBe9++67CCH8V4LdvXu3pKSE6FquVCpzcnLw0+P2pKamymQy6LGgzxwcHPz8/KysrLTJZm5urmWxBgYGU6ZM0aZk0DnfffedpaVley+Kt/ciSGZmpp4/S+joiLn9DT39iwQCwbx581JSUvh8vq+v7/Pnz6Ojo01NTVetWoUzKBSKpUuX+vj4HD16FKd88cUXcrl88uTJxsbGLS0tubm533zzjbm5+YoVK+g+hwD0NUVFRWpfCSTW9tIXQdzd3UUiEXyJbA9tvbZ37tzJYDCOHz/+1VdfIYSGDx9+8OBBiq97w4YNO3jw4Llz54gUb2/vqKgo+IYIQLej/pqvPy+CyOVyBoPR3lss+CjIa62trYOCgjpRFCaTyQwMDDSet/YK0WYXNKO3Pauuru7GjRvl5eVa5q+urr5x40Zubq5MJut6YxkAQC0nJ6cRI0a0t3bEiBEuLi4Um2vz/OBlw+PkvG17Lvnjn6PXlr9seKxl9RoaGkJDQ4n3VExMTBYsWECsbWpqCg8PHzp0KF7L4/H279+PV129epXH45GffDQ1NYWFhVlaWiKEmEyml5dXbm4usfb8+fM8Hu/q1avbtm3DuzM3N9+7d69KfSj2qHEXuqSn4xcRuFyul5eX9vmtra2tra3prTMAfd6cOXNiYmIuXbqkdrgwoVAYExMjFovbe1NEowfP7xzL/lNL76vG6mPXVnjYvef31480br5u3bqEhITIyEjc8lNVVZWSkoJXyWQyPOTtxx9/jKuHh9rFa5uamqqrq4lx16lHzCXyh4aGmpmZHT9+nMFgHDx4MCwszM7OLjAwUJs9atyFfqElTOlJMAQAqPXy5UtbW1szM7PDhw9XVVVVV1enpqbu2bOHWGtvb29qahobG1taWlpXV5eVlbVjxw6iuzD1/cEvv+WF/3tUez+//JansXoqNwRk1D2jOjpiLu4V7eXlRc5gaGg4b948LfeocRe6pKf9iwAA+szc3DwnJ2fChAmrV6+2sbHh8XgffPDBs2fPiLW5ubnvvffehg0bnJycTE1NfXx8Dh06pOWEE/kPv6dY++D5HY0l8Hi8/Pz8hw8ftl1F3TNKhZYdpcgTK3G5XF9f37y8PC332Lv6YsEoYAAANfh8/g8//FBbW3v79m02m+3p6Ul+lDpkyJAzZ84kJCTcvHmzpaXF1dWV3LPD39+/tbW1vUXqK37+w+/fik9gWdoMXX2QbTlMbZ7o6Ojg4GCBQDBu3LhRo0bNmzePGCyZumeUCi07SqkMqMXhcMgzM/alvlgQDwAA7RowYADFQwL8IkhHy3zVWE299lVjDfduZdXnHwyY+rfBf9vYNk9gYKCHh8eZM2fy8/NPnjx57Ngxb2/vjIwMDofToS/d3dJRqrf0xdKG3lUIANC32Q8ZQ32LwG1QIIRanle+SN5v5OJp7KKmy4m9vX1UVBRCSC6Xf/rpp4cPH05NTQ0ODra3t793756WNemWEXOp99i7BuWF5wcAAJ2yt/CgWDvi1ybyYtPdm9SlsVispUuXov9NozRnzpzy8vJLly5pUxONI+Zqg3qP3bILnYF4AADQKfshYyjWuv/8p+HKazOT2+aZNGlSQkJCSUmJVCotLCzcvn07QggPjBgeHm5ra7tgwYIjR448fvz4yZMn3333XUxMjNp9aRwxVxvUe+yWXegMxAMAgE7ZDxmzcvJxc2OeSjq3QfF/rrzCjUWElueVLb9VquSUyWQrVqxwdnY2MjJyd3cvKChITk4eNWoU0tQzSkUXO0oRhfRcXywd+wv5uX8f4+TkVFpaSnctAABqvGqszpdcyH/4fcvzSoQQt0Hhf+WV2pyO/1bz/FmpVBYXF9fU1NjY2IwcObJthvZ6Rqklk8nUdpTqEOo9dssuukjjJRHiAQCATi+S979I3t/e2gE+fxu65iDddewjNF4Sob0IAEAnIxdPirVq+5uCHgLxAABAJ2MXL5vt/2YPUX31jD1kmM32f7f3ShroCfD+AQCAZjgk1GYlE72JWJY2w7an0F2vfgeeHwDQj+Tn58fFxW3cuFEfB9cEPUzjJRHuDwDoRyorK0+dOhUUFER7PHhdXZv51U3JnSq8OJA3YO6OGQN5Azpazs2bN+Pi4sLDw3F/U9AV8PwAgD5LLpd3dBBNLTeRy+UqKUqlUvt9Se5UHfD/Z+GFe6+ra/GP5E5VwvJzmV9RvY2cn5+/ZMmS4uJicuKjR49EIlF1dTUCXQbxAIC+prGxce3atVwul81mM5lMLpe7cOFChFBUVFRISAhCaNGiRXw+n8/nEyM5S6XSzZs3W1lZsdlsAwODiRMn3rp1i1zmhQsX+Hy+WCzetGmTsbExm822s7P74YcfEEIXL150dHRkMpkcDoc8NHR78KW/bfrr6tqsr3KJO4a28M1NVVUVAj0D2osA6Gvamz4sICCgrq4uNjY2JCTEzc0NIYTfktVmDi88U9jatWv5fH5CQoJMJtu2bZtQKPzHP/4RERGBx2wQiUSxsbE2NjabNm1SWzFlY1VTaeytw78j5Nxe5X+9UykYY9PpY6ee4ljLGYxVCsG3PhqHI5XL5Xo4ZGnH6H6OHv2ZDAiAPoli+rDU1FSEUFpaGjlRmzm88Exh3t7eREpOTg5CiM1mk+c/HzFihKurq9pdy57ffHFe8OK8YN+ULyKmHluy5/a8fz/CP8HH7kVMPbbN7cttbl9++X9OqN1869at5ubmCCFzc3Mej8fj8datW0dULC0tjWKKY40zGON5kn/88ceNGzcaGRkhhEQi0dOnT0NCQni8N+NqmJmZhYWFNTU1qWyVlpa2evVqQ0NDhBCPxztx4k39MzIyeDze2bNnVQ5k/vz5Li4uCoVC938Y+j5/MgCg2xHTh9nZ2WmTv705vE6ePKlUKsnfpsmjsI0fPx4hNH36dAcHByLRw8ODmMqYrKUmty4nGH+utnAsX/2nCWRkg7jlq2cOul1h/WMhfpzQ9sFyezc32ObNm9ub4rhDdz9cLjc+Pp7D4QgEAjwN8pYtW2xsbJRKZVZW1t69eyUSSXJyMnmr0NBQW1vbs2fPMhiMw4cPL1++XKFQrFy50s/Pj8ViHTp0KDg4mKhnZWWlSCQKCwvTeI9CC4gHAPQ1FNOHqaX9HF7kmcLwFW3w4MHkrQwMDFpaWtruQlb5JkiUMD1UgsGbDIO4T2eOMv3lKbfiqdpeRuPHj3/y5ElsbKyvr6+/v7/KWjMzsxs3buDPs2bNsrCwSEpKwvHg4MGD2dnZly9fJgLe7NmzXVxcNm7cmJGRQS7E2Ng4NzeXaPNRKpXkuYCEQiGfz4+IiKisrBw27I+35ExMTDIyMvBW77///pgxYyIjI5cvX85gMJYvX75t27Z79+799a9/xZmPHTuGEFq+fHnP/fa7AuIBAH0NxfRhavPrYA6vlhe5+MNP7PcpstW9NdT7r4M6UT7FFMfa3/2sXr2afLx4lVKpLCsrww+xcQeq/Px8cjxYuXIlsRWDwfjoo49WrVqVnp4+c+bMlStXbt++/dixYwcPHsSbf/PNNz4+Po6Ojt1yVrsdxAMA+qD2pg9Tm1kHc3gpG990CiphUk2G83Kcw1RPs06UTzHFsfZ3P9bW1irFRkZGxsbGNjT8aUqG5uZmlbNHXrSxsUH/m5zHysoqMDDw1KlT+/btY7FYFy9erKqq2r17d8+d5y7SxzYsAEB3UZk+DH+TVbnA6WAOL9bgCfhDDYNHkU02iCsbxO3eXRN3P2Tr168/ceIE9d1PVFTU7t27t2zZUlpa2tLSgh8Rt81G/STgo48+evXq1b/+9S+E0JEjRywsLHDfX/0E9wcA9DWTJk0KCQnx9PQUCAQlJSXk6cM8PT2ZTGZMTAzueSkQCMaPHx8eHn7u3DmhULhr166ZM2fix9HZ2dnPnz+Pi4vrliqxLcbLX+QihEYq7pQwqeZHs+R085fUTt/9nD59evLkyZGRkURKbW1t22xPnjwhL/7++++IdL8yZcoUJyenr7/+2s/P78cff9TbJ8mY/tYMANA5FNOHDR48ODExUSqVLlmyZP78+UeOHEE6mcOLuD8YKc+nyPbuUKqJa9Te3GjU6buf+vp6lRT8NFjF119/rbLIZrPJD6I/+uijn376af369UiPnyS/ofs+sPrT2RaAvkqhUBQUFGRkZNy/f1/7rZqbm7OysjIyMp4+fdrtVZI9v/kqw/vGxXnvXX3Z3s+zJqpe+TU1NUwm08PD4+zZsyKRCL9DQLx/QM45d+5cCwsL/Pnly5f29vampqaxsbGlpaV1dXVZWVk7duwIDQ0l8qstZOXKlQihPXv21NTU3L17d/ny5RYWFgghkUhE3src3HzlypWPHj169OhRaGgoQmjr1q3kcurq6thsNkLIx8en289qh2i8JML9AQB9EIPBGDVqlJ+fn9q5JNtjYGAwZcoUPz+/npjQkW0xYYBXoruD92dou4VSdbghSw4j2t2UurFI7c2NRp2++9m1a5e3t3dERISFhYWLi4tEIlHbenbgwIF79+7Z2tra2toeOXIkNDR0586d5AzEeCH6fnMA410DAHTvN6nyypPmK09leNGSw9jtbtrTO+3cDMYVFRUSiUTtJklJSfPnz09LS/P398fZPDw88EvUKt59993i4uJnz57R+/AAxrsGAOgdSw4jeLhR8HAjXe4U3/10dCsHBwfyC9idyHbv3r2rV69u3bpVn58kYxAPAACgRyQkJFy9elUsFltYWGgz8ivt9D1eAQCAfrKxsZk7dy5F01NTU1NDQ8PMmTMzMzNVBvbQT/D8AAAA+gWNl0S4PwAAdKfo6OiYmBj8ubCwMDg4mBhKCOg5iAcAgO6UlZV1/fp1/Lm6ulokEj1+/JjuSgGtQDwAAPQUd3d3kUiEp2kD+g/6FwEAugoPBN22P6W1tXVQUFDb/BrnraTOoHECS+rNtZw1sx+CMwIA6LwHDx5MmzbNwMCAyWSOHj1a5VFBZmYmn8//4Ycf8GJjYyOeg4zNZjOZTOLFXYJUKt28ebOVlRWbzTYwMJg4ceKtW7eItc+ePVu2bBmfz2cymWw2e+DAgZs3b5ZKpUQG6vKpCwcI7g8AAJ326tWrSZMmyWSyuLg4gUCQn58fEBBgZWVla2uLM+AZJYlL9rp16xISEiIjI3ELUlVVFXlyTY0TW2qcwJKifG1mzQQwnh0AoJO2bt2KEMrKyiJSYmNjEUKzZs3Ci2lpaQih1NRUvGhiYrJgwYL2Stu/fz9C6PLly0RKXV2dra2tn58fXmw7B/2ePXsQQo8ePdJYvsbC+wMYzw4A0FPOnz/v6upKHgTik08+wWN5qoVnVnj48KHate1NbJmZmUl+PqFUKktKSsRisVgsJiaw1Fi+xsIBgvYiAECnlZSUzJkzh5zCYrEo3teNjo4ODg4WCATjxo0bNWrUvHnzpk+fTqzVZmJL6gksKcrXftbM/gziAQCg85hMpkqKylTGZIGBgR4eHmfOnMnPzz958uSxY8e8vb0zMjLw5ZiY2LLthrgrEZ7ActeuXYGBgfb29iwWSywWT5s2TZvyNRYOEILnBwCAzhIIBN7e3uQUhUJhaGjY3vMDspaWltWrVyOEzp49i1NGjBjh4uJCvbvJkyeTU/DjYmKCGoryNRbeH8DzAwBAT5k1a9ZPP/1UVlZGpFy4cIFovaHGYrGWLl2KEHrx4gVO0TixpZYTWKotv9OzZvYrEA8AAJ20YcMGU1PTgICAzMxMqVSalJS0atUqorNpW5MmTUpISCgpKZFKpYWFhdu3b0cIeXt747Xh4eH29vZCoTAuLq6srKy+vv7atWs7d+5cu3YtziAUCrOzs2NiYl68eHHv3r0VK1YQT5I1lq+xcIAQtBcBALogKyvLxsYGX0xMTU2Tk5P9/Pzaay8aN24c+XmDjY1NcnIyubTffvttwYIF5DyWlpYHDhwg1hLBAyHk5+d39uxZRGovoi6fuvD+QOMlEca7BgB0iVKpzMvLk8vlnp6eGgeBUCqVxcXFNTU1NjY27c3tTD2xJcUEltqU37lZM/sGjZfEzseDxsbGX3/91dLScsiQIXQfZicPHgAA+o/unP8gOjrayclp4sSJNTU1Dx48cHd3FwqF3t7eR44cofswAQAAdJW2HW/r6+sfP36clpZWUlISEBAgEAgyMzPNzc3r6+s/++yz5uZmQ0ND3dS4vLz84cOHbDbby8uL4k1IAAAAHaJte5FEIrGysjIyMkIIvX79+uXLl/b29nhVbW3t77//PmzYsJ6ua21t7bp163JycvDigAED9u3bR35XXgW0FwEAAKHb2osGDBjw+vXroqIihJCpqSnxjL6xsfHly5empqY6OJiIiIicnJyoqKji4uK0tDQej7dmzZoHDx7oYNcAANDnaRsPBg0a9M033/ztb3978OABk8m0s7NDCOHnB3//+98HDhzY0xUtLS29cuVKUFDQokWLDA0NHRwcYmNjZTLZiRMnaD2BAADQR3TgefKWLVtKS0uJZiKE0Ndff52cnHz06FEdVPTKlSsIIfLoVwKBwMXF5dKlS7o7WwAA0Hd16f3kgQMHOjg46KaiFRUVCKHx48eTE0eMGNHU1PTy5Uvd1AEAAPowzfHg1q1bkyZN8vPzmzt3blBQUE1NDS0VbWhoYLFYKh2K8PPt8vJyWqoEAAB9iYb+po2NjYsXLz5w4IC/vz9OiY6ONjU11f2gHzKZrO2rjzilpaVFx5UBAIC+R8P9AR4akDypUGRkZHNz8969e3VcUQMDA4VCoZKIJzaieAvB6X/i4+N1XGEAAKBdfHw8cRnUmFnD/YGFhQVCqLa2ltyDKCwsbOzYsYGBgQKBQGdHZWJiolAoVF58w9MkOTs7t7cVvH8AAOjPQkNDQ0ND8WeNIUHD/YGRkVFkZGRYWJhK+vbt2/HY4jrj4uKCECJeRsPKysoGDx48YMAAXdYEAAD6JM3PkxcvXjx37tzAwMDGxkYi0cvLq7q6WsuJL7rFu+++ixDCw+did+/eLSkpIbdlAQAA6DStxi/y9/efOXPmkSNHcnJyduzYMXToUGLgCp0NGCsQCObNm5eSksLn8319fZ8/f46fbK9atYrG0wcAAH1Gh8e7rq6ujomJuXPnTk1Nzbhx4z777DMLCwvdDHmtUCg+//zzb7/9Fj9YHj58eExMjJubW3v5YfwiAAAg9NT8BxKJZMaMGaGhoYmJifiNhB07dgQFBengkOrr64uLiy0tLTW+CgfxAAAACF2NB0qlMi0t7b333lNJ9/f3d3BwiIuLQwjV1tZmZGQ4Ojq6urrSfbwdO3gAAOg/ujq+KYPBMDExCQoKevLkCZGYlJT08OFDHAwQQgMGDJg3b56+BQMAAAAdovl5sq+vr6+vb05Oztq1a+VyeV1d3fDhw+/evUt3zQEAAHQnbedH8/Ly8vLyoru2AAAAekqXxjcFAADQZ0A8AAAAgBDEAwAAABjEAwAAAAhBPAAAAIBBPAAAAIAQxAMAAAAYxAMAAAAIQTwAAACAQTwAAACAEMQDAAAAGMQDAAAACEE8AAAAgEE8AAAAgBDEAwAAABjEAwAAAAhBPAAAAIBBPAAAAIAQxAMAAAAYxAMAAAAIQTwAAACAQTwAAACAEMQDAAAAGMQDAADofoWFhcHBwXl5eRR5oqOjY2Ji6K7pHyAeAABA96uurhaJRI8fP6bIk5WVdf369W7caX5+/pIlS4qLizu3OcQDAADofu7u7iKRaOzYsbrcaWVl5alTp6qqqjq3OUuXdQUAANrJ5XIWi+rSJ5PJDAwM2m7FYDAYDEZ7Zaqstba2DgoKaptTqVQihNorR8vdUdSzK+D+AADQx124cIHP51+6dGnNmjUcDofNZvP5/H/+858qGdLT0zdt2mRsbGxoaJiUlIRXSaXSzZs3W1lZsdlsAwODiRMn3rp1i9iwsbFx7dq1XC6XzWYzmUwul7tw4UK8KjMzk8/n//DDD0TmBw8eTJs2zcDAgMlkjh49Wu2jBerd4XpmZmZ+/vnnXC7X0NBw0KBB+/btw2ujoqJCQkIQQosWLeLz+Xw+/9NPP+3QiYL7AwBAH9fU1FRdXR0aGmpra3v27FkGg3H48OHly5crFIqVK1cSGfCVPT4+nsPhCAQChJBSqZwxY0ZeXt769es9PDyampr27t07derU3Nzcd955ByG0bt26hISEyMhI3C5UVVWVkpJC3qlUKsWLr169mjRpkkwmi4uLEwgE+fn5AQEBVlZWtra2RD017o44EDMzs+PHjzMYjIMHD4aFhdnZ2QUGBgYEBNTV1cXGxoaEhLi5uSGE7O3tO3amWvsuR0dHuqsAAKCfSCRCCLm6ura0tOAUhULh7u5uYWGhUCiIDO7u7kQGbP/+/Qihy5cvEyl1dXW2trZ+fn540cTEZMGCBWp3mpaWhhBKTU3Fi1u3bkUIZWVlERliY2MRQrNmzdJ+d7ieXl5e5AyGhobz5s3Di6mpqQihtLQ0tVXSeEmE9iIAQL+wcuVK4rEBg8H46KOPampq0tPTiQyrV69Wea5w7tw5Z2fnmTNnEilcLtfPzy8zMxM/BuDxePn5+Q8fPtS49/Pnz7u6uk6ZMoVI+eSTT9hsdod2h5Fbgbhcrq+vL3WvVu1BexEAoF/ATUAEGxsbhNCLFy+IFGtra5VNioqKzMzMAgICyIkSiUShUMhkMg6HEx0dHRwcLBAIxo0bN2rUqHnz5k2fPl3t3ktKSubMmUNOYbFYVlZWHdodTjExMSFn4HA4jY2N3XKKIB4A0COio6NZLFZ4eDjdFQFvaOzS05ZcLufz+XPnzm27Ct9JBAYGenh4nDlzJj8//+TJk8eOHfP29s7IyCCu3WRMJlMlReXKrnF3PQ3iAQA9Iisry9DQkPZ4kJ+fHxcXt3HjRvxAsj9X5smTJ+TF33//HbW5IqsQCARSqXTZsmUUeezt7aOiohBCcrn8008/PXz4cGpqanBwsEo2Pp+v8lqAUqmUSCQODg4d2l2PgucHAPRlXXxBqS9V5uuvv1ZZZLPZfn5+FJsIhcK7d++KxWJtymexWEuXLkV/boMizJo166effiorKyNSLly40Nzc3OndtVcHhFBDQ0PnNod4AEC3USqV5Od+asnlco15cDaKvVCsJchkMi2r3bY0jQeizVFoXwHduH///qpVqyorKysrK9euXSsWi8PDw7lcLsUm4eHh9vb2QqEwLi6urKysvr7+2rVrO3fuXLt2Lc4wadKkhISEkpISqVRaWFi4fft2hJC3t3fbojZs2GBqahoQEJCZmSmVSpOSklatWkXubKrN7jTy9PRkMpkxMTGJiYlJSUnkdxe0Qms3sJ4F/U2Bzvzyyy9+fn64gdjd3f327dt+fn7kroRNTU1hYWGWlpYIISaT6eXllZubSy7h/PnzPB4vLS1t9erVhoaGCCEej3fixAkiw9OnT0NCQng8Hv6fa2ZmFhYW1tTUpFLCjz/+uHHjRiMjI4SQUCg0NzdHCJmbm/N4PB6Pt27dOiJnRkYGkdPW1hZ3c/z+++9HjBiBEGKz2TgzGfVR4GKvXr26bds23A5jbm6+d+9evHbr1q1qK6MDuJvmN998Q1ypmUxmaGioSga13TR/++23BQsWkJv+LS0tDxw4gNeOGzeOvMrGxiY5ORmvUulv2trampWVhR9iI4RMTU2Tk5NV/kg07k5tPefOnWthYUEsJicnu7i44J5LixcvJufUeEmEeABAV718+ZLH41lYWBw+fDgtLW3Hjh2Wlpaurq7Ef3WFQjF58mQjI6PPPvssJSXl9OnTbm5uRkZGRUVFRCH4v7q9vb2Pj09KSkpqaipuyjh69CjOkJGRMXny5Pj4+NTU1JSUlNDQUIRQYGCgSglOTk4eHh4nTpw4ffr0P//5z3Xr1iGENm7ceOrUqVOnTv30009ETmdnZz8/P5FIdOrUKYFAYGRk9M033wwdOvTAgQMpKSmBgYEIIeJqrs1R4GJdXFy8vLzOnj0rEokmTJiAEMKXyNzcXLWV0QHyZbS8vDwjI+Ply5cdKqG5uTkrKysjI+Pp06cqqxQKRUFBQUZGxv379zWWo1AocnNzf/rpJ/zeQyd21xUQDwDocRpfNdL4nlGrFu9Mtb2C7NmzByH06NEjcgkqL1WpfUEJ5/T29iZScnJy8D1BeXk5kThixAhXV1disaffluo5FF//+xV4Hw2AHqfxVSMt3zNClO9M4e6SSqWypKRELBaLxWK8bX5+PrmEti9VtYfcKj1+/HiE0PTp08ndXTw8PEpKSjp6FD33thToadDfFICu0viqkZbvGSFN70xFRkbGxsaq9B5R6aPS9qWq9pC7WuJgM3jwYHIGAwODlpaWjh5Fz70tRfa6ujbzq5uSO2+6Kg3kDZi7Y8ZA3gC1mW1sbObOnavy8hdoC+IBAN2A+lUj7d8zonhnKioqavfu3bt27QoMDLS3t2exWGKxeNq0aTo7Rh28LfWbVJn4a9PPr9/0d7LkMD51NrHkqJ4TyZ2qhOXnyCmvq2sTlp8b9f5fp37k2bbYiRMnTpw4UWcnqveCeABAV2l81Uj794wo3pk6ffr05MmTIyMjibW1tbW6PMyeflvq59fyyII6cspvUuVnBXXvDjUIHm5EJLYNBtjr6tqsr3KHjxkmGGOjy9PSl8DzAwC6SuOrRtq/Z0TxzlR9fb1K5mPHjmkssIsvKJH16NtSbYMB9ptUmSiREncMCKGCC3cpdvHrncquH2m/BfEAgK7S+KqR9u8ZUbwzJRQKs7OzY2JiXrx4ce/evRUrVqg8SVarqy8okfTo21JXnzRTbPjfV388xiCeGahVeOFepw8QQDwAoKvs7e2///77pqYmX19fIyOjFStWHDp0yNHRkchgbm6em5v73nvvbdiwwcnJydTU1MfH59ChQ22nKzlw4MC9e/dsbW1tbW2PHDkSGhq6c+dOvGrXrl3e3t4REREWFhYuLi4SiSQuLk5j3QYPHpyYmCiVSpcsWTJ//vwjR450+jC1P4pOVIZ8B9DWlacyhJDkpXSp6P6O4fy4ic5xE51PjX7rNUd1tsjX1bWvq3XajNaX/KW1tZXuOvQUJyen0tJSumsB+gulUpmXlyeXyz09Pdt7LCyTyW7evNnS0uLq6qrS3SUpKWn+/PlpaWn+/v4VFRUSicTDwwO/0EuGV7XdXJcojqLT3s98RZ1hkaUy6OsilcSBUplb9cspvz4jJ24vXE/XmdFzGi+JdD5PLi8vf/jwIZvN9vLyUpkXQi21vdaMjY1pPAQACAwGA/fip2BgYEB+TaE9Dg4O5PcAtFylM1oeRYe8PZD13/ZvEV68qA+6WN42/TXH4Jr9ULvXDYJXbx6ujHr/r12vTGFhYUxMzIYNG/AsmD1BB7voBHrai2pra5cuXRoQELB69eqVK1d6eXldu3aNepOWlhb3NtSOGwUA6HVcB1J9N62sfEGx9uHAP7r2qu1v2lHV1dUikejx48fdcmj5+flLliwpLi7uuV10F3ruDyIiInJycqKiogIDAysrKzdu3LhmzZrz589rbIicMGFCUFDQH7XXyRwRAOhAP39n6m1zNpJI21v74kU9xbZFvEGB//nWqPmpOW9AZkCGiS3PK34HdxiP7mN6A4/yHRQURJ71wd3dXSQS6dXNAaIlHpSWll65ciUoKGjRokUIIQcHh9jY2BkzZpw4cWL37t3U2w4bNszf35+WMwVAj+rn70y5DmRFu5vG3m/4TfqnATwsOYx1zibfX6QaOvs1x0DGeDlAUV9fWY8Qqq+szpi93H7++26bP9K4X7lczmAwtJ86TWN+PHSHxgKtra3JX23JZDKZgYEB9eba5OkEGtqLrly5ghAizzIqEAhcXFwuXbqk+8oAAPSE60DWbnfTYAHHksPAP28PZJ3wNHMdyPJ5ayD1thb1L8mL9ZXVxXu/enbjTnv5pVLp5s2brays2Gy2gYHBxIkTqXviaswvlUojIiKsra2ZTCaTyeTz+V9++SVCKCoqKiQkBCG0aNEiPp/P5/Px+E6ZmZl8Pv+HH34gSnj27NmHH37I4XAMDQ05HM7ChQvJLydeuHCBz+dnZmZ+/vnnXC7X0NBw0KBB+/bt695fAQ33BxUVFeh/42cRRowYcffu3ZcvXw4aNIh62/DwcIVCgW8U8EDtAIC+wZLDCB5uRH4bGZvylnnWL6/b22rSL+rHy3t6447VxDFt05VK5YwZM/Ly8tavX+/h4dHU1LR3796pU6fm5uaqnchTY36ZTIYXP/74Y/zy4M8//4wvdAEBAXV1dbGxsSEhIW5ubggh3Cre1NRUXV0tlb5pInv16tWECROeP38eFRXl4uJy//796Ojo7OzswsJCPKgUzh8aGmpmZnb8+HEGg3Hw4MGwsDA7Ozs8Mnm3oCEeNDQ0sFgslQ5FeFKO8vJy6h4a9+/fRwjV1NR8//33uHf2mjVrdH8IAABd8nEYuD293bVzi35Um/5AdEFtk9HBgwezs7MvX75MjNU6e/ZsFxeXjRs3ZmRkdCL//v37c3Nzjx49unLlSpxBKBTiD+PHj3/y5ElsbKyvry9FW/fBgwclEklqaioeGHHOnDlOTk7z5s2LiYn5f//v/xHZzMzMbty4gT/PmjXLwsIiKSmpG+MBDe1FMpmsbeMaTiEPpqiCyWQmJiYWFRWJRCKxWJyenj5y5Mj4+PjMzEyKfTn9T3x8vO6PFADQLXzeMs/8xF0wiKOSblH/csuPh1Uaiwj1ldX1ldVt07UfflzL/N99952lpSURDDohNTXVxsaGPEquUCgUCAQpKSnkbJ0YSzw+Pp64DGqsRs/eHzQ3N2/ZsoVYHDNmzIIFCwwMDBQKhUpOfFop3kJgMBijR48mFu3s7OLi4qZPn56amjp16tT2toL30QDoG3zeMs/8ePQ3eU9O3nnTqi4w52xJP/vs2S8UW6ntZaT98ONa5i8qKiJHi04oKSlpe/fg5uZ28eJFckonxhIPDQ3FU+khhDSGhB5vLyKPXYVH+DIxMVEoFM3NzXiSWHI2Z2dn7Uu2s7MzMjIqKCjo6UMAAOgDwSDOFzOGfzFjOJFSVD+G4qHxW/PfV5ve0YG7NeZXe1fRUW1bTVgsVtuvzj2qZ+OBoaHh0aNHVRJdXFzS0tJycnLI3+vLysoGDx48YMAA7QtXKpUKhYL6+TMAoA8bOnFM8d52177TTn/Tjg7crTG/vb39vXtdGkePz+eTx8fFKioqLC0te+bMqUfD84N3330XIZSWlkak3L17t6SkhHzDpVQqc3Jy8NPj9qSmpspkMn17oQMAoDNWE8dM/+5E20Yh7jCe2nSsowN3a8w/Z86c8vLy9nrMazPk+KxZs+7evUvuw5qXl1dUVKQy715Po6F/kUAgmDdvXkpKCp/P9/X1ff78eXR0tKmp6apVq4g8CoVi6dKlPj4+xO3FF198IZfLJ0+ebGxs3NLSkpub+80335ibm69YsUL3hwAA0BNWE8dMO3/il8QLD0QXcIqJLW/6dycoNgkPDz937pxQKNy1a9fMmTN5PF5+fn52dvbz58/VDhmrMX94eHhiYuKCBQt27949e/ZsBoNx69at0tLS8PBwRBrlG7/LJhAI2vai3LJly9mzZ4VC4T/+8Q9fX9+rV69+/PHHZmZmuATdaaWDXC6PjIx0dnZ2dHR0dHScMWNGYWEhOYNMJnN0dFy5ciWRcuLEibffftuRJCQk5Ndff6XYi6OjIy1HB0BvUVBQMH/+/Nu3b1Pk2bVr1549e+iuaTf77bffFixYQJ7l1NLS8sCBA3gtbr1ITU3VMn9ra2tVVdWMGTOItUwmc/369cTa5ORkFxcX3F9m8eLFandx584d/IIC5uzsTP69iEQihFBaWhr5KObOnWthYaH9UWu8JNI53nV9fX1xcbGlpaX24zU+efLk119/ZTKZo0eP1jgkKox3DQC1S5cuzZo1i+j2rta0adMMDQ1xR5f8/Py4uLiNGzeqfW+r1+nowN0a89fW1t6+fZvNZnt6enZuPIkHDx48ePBAIBD0xCi2Gi+JMP8BAP3XkydPsrOzvb29+Xx+e3nI8eC7776bO3cunqSB7rqDDtPr+Q8AAD1ELperdJ1UO85ae6OqaTkom9r9ahweTu1YbFpWmOxVY7X43tEHz9/0NzU34QWO2W5urC/DmvZGMF8mAH0BHu9MLBZv2rTJ2NiYzWbb2dnh4dIuXrzo6OjIZDI5HA75BVekblS1Bw8eTJs2zcDAALfKkl9/bW9oNqRpuDdct/T0dFw3Q0PDpKSkzlX4j3o+vxNzeVb+wwuvGqvxz4Pnd45dWyG+9xXdv4peDO4PAOgL8Hhna9eu5fP5CQkJMpls27ZtuL9KREREeHi4ra2tSCSKjY21sbHZtGkTeSvyqGqTJk2SyWRxcXECgSA/Pz8gIMDKysrW1ha1PzSbxuHeiLpxudz4+HgOhyMQCCQSSScqjD14fudYtpqOha8aq8X3j9oPGWM/ZAwCHQfxAIC+Y/DgwcSIbA4ODl5eXitWrLh37x5+OCkUCh0dHU+dOqVyeSV8+eWX1dXVWVlZeDpMf39/MzOzdevW4XjQ3tBsWg4PZ2xsnJubSzQKSSSSTlc4/+H3FCfhwfM7EA86B9qLAOg71q5dS3zGndynT59O7qni4eFRUlLS3ubnz593dXUlz438ySefaOzIp+XwcKtXr247GkTnKkw8M1CLOloACnB/AEDfQR7vDD+JxaPnEwwMDChGES4pKVHpeMpisTR2xNRyeDhra+vuqvCrRjWjlpLXvmqshgfLnQDxAADwB/IrV5jKmJptdXR4uK6zHzKG+hYBgkHnQDwAALzB5/OrqqrIKUqlUiKRUL8b1dHh4brO3sKDIh542L3fkcLAH+D5AQDgjVmzZv3000/kgTYvXLiAh6nH1A7N1tHh4bqO+nGx319XaV0S+BOIBwCANzZs2GBqahoQEJCZmSmVSpOSklatWoU7F2HE0GyJiYlJSUn4JYPw8HB7e3uhUBgXF1dWVlZfX3/t2rWdO3eSnxV3L/shY1ZOPt62UcjcmKc2HWgJ4gEA4A17e/vvv/++qanJ19fXyMhoxYoVhw4dcnR0JDIMHjw4MTFRKpUuWbJk/vz5R44cQQiZm5vn5ua+9957GzZscHJyMjU19fHxOXToEH47oaeqOmTMyinH/ZxXmRvz8I/9kDHh/ycNepp2BYxfBAD4E6VSmZeXJ5fLPT09OzRkRUeHhwM6BuMXAQA6hsFgtB2gXxsGBgbkdxdArwPtRQAAABCCeAAA6F3y8/OXLFlSXFysg636G4gHAIDepLKy8tSpUyrvSfTQVv0NxAMAgP6Sy+XkQZA0UiqVcrlcN/vqeyAegL4sOjo6JiaG7lqADmtsbMTjY7PZbCaTyeVyFy5ciNqfg+HZs2fLli3j8/lMJpPNZg8cOHDz5s3EON4UMzcgTZM39CvQvwj0ZVlZWYaGhuHh4XRXBHTMunXrEhISIiMjx44dixCqqqpKSUlB7c/B8PPPP1dUVGzZssXGxkapVGZlZe3du1cikSQnJ1NshbSYvKF/ae27HB0d6a5Ca2tra05Ozvz58wsKCnS2x4KCgvnz59++fZvuQ6efn5/frFmz6K4F6DATE5MFCxaoXZWamooQSktLIycqFAqVbHv27EEIPXr0iGKr1tbW/fv3I4QuX75MpNTV1dna2vr5+dF9DrqfxksitBf1uEePHolEourq6q4XpaXq6mqRSPT48WO6D50eSqWSuhVYyybmtnmoS9ZYrMaKIWjC/h8ej5efn//w4UMt8+P35pRKZUlJiVgsFovF+DTm5+dTb6jl5A39BMSDPsjd3V0kEuEb7X6FYu5fpKmJGXV2CmKNxSKEysrKJk2ahCs2ZsyYvLy8v/3tbx9++CGRAZqwVURHR1dUVAgEgvHjx69atSo9PV3jJpGRkQMGDHB2dp42bdq0adM+++wzhBB5MD61ioqKXr16FfBnt27dwpM30H0adA2eH+iaTCYzMDDoiUKIRGtr66CgILUb4q88agchwN9eNQ5YT11/uVzOYDA6NMgBWctvlS+S9zfdvYkXWZY2Q1cfZFsO02Zb6rl/kaYmZtTZKYg1Fvvs2bNJkyYhhHDFioqK5syZM3jwYKJi0ITdVmBgoIeHx5kzZ/Lz80+ePHns2DFvb++MjAxidh0VUVFRu3fv3rVrV2BgoL29PYvFEovF06ZN07gj3U/eoNfobtGis7FMN0QiEUIoLS1t27ZteGoRc3PzvXv3EhlOnz7N4/Hq6urIW3l4eCxatIhYPH/+PI/H+/HHHzdu3GhkZIQQEolEahNbW1uvXr3K4/HITaJNTU3h4eFDhw7Fv3Qej7d//3686unTpyEhITzemyEhzczMwsLCmpqaVHZ99erV9uqPyw8LC7O0tEQIMZlMLy+v3Nzcjp6ohv/eKJ1nrfLz4KNxNUn7tNl869atCKGsrCwiJTY2FiFEPD/Q2MSMf1Pe3t5EhpycHIQQm80uLy8nEkeMGOHq6kosaix2/fr1CCHy45wTJ06QK9avmrA7oaWlZfXq1Qihs2fPtrbzJEAgEEyePJmcgp8/4/8Rre0/PxgxYoSLiwvdh6gjGi+J/S8A0mTz5s1mZmbHjx9nMBgHDx4MCwuzs7MLDAxECEml0rZPF548eUJcvhHpqyuXy42Pj+dwOAKBQCKRtE0kMhNNFjKZDH/Z/Pjjj/38/ND/vtLitVp+aw4NDW2v/t3y9bbxbk7V5x+0TW95Xvkieb+Ri6exixd1CWrn/iXPw040MZeVleH3kogm5mHD/rgF0WZGX3yt0bLYS5cuubu7k5vvli5dii9wWHtN2CdPnlQqlZ2+2eozWCzW0qVLDx8+/OLFC9TOHAz19fUqWx07dkylkLZbIYSEQmFMTIxYLMb/Nfo5iAc6YmZmduPGDfx51qxZFhYWSUlJ+HqqPWNj49zcXOI2ViKRtE1sa//+/bm5uUePHl25ciVOEQqFxFpfX1/y/wShUMjn8yMiIiorK8lXSYr6Hzx4MDs7+/Lly8QVbfbs2S4uLhs3bszIyNDy0GozkynWNt29qTEeaDP3b2RkZGxsrMpFQaWJuRMz+lIXW1FRofKLZjAYfD6fWNRy/uF+ZdKkSSEhIZ6engKBoKSkZPv27Qghb29vRJqDATdO4mcMQqHw2LFjMTExy5cvf/bs2YEDB1SeJKvdCiEUHh5+7tw5oVC4a9eumTNn4ufY2dnZz58/j4uLo/s06Fp//+qhM+SHkFwu19fXV+VppzZWr17d9rqvNpHsu+++s7S0JIKBCi07ZlDUv1t6aBDPDNSijhYE6rl/cRPzli1bSktLW1paWltbtQ9XFLQpVqFQqKSQeyIRTdhk69evP3HiRH9swkYIISSTyVasWOHs7GxkZOTu7l5QUJCcnDxq1CjUzhwMu3bt8vb2joiIsLCwcHFxkUgkKldztVshmiZv0Fv99K9N91QmJedwOI2NjR0txNraWstEsqKiIvLFuq2OfmtWqX+3fL1teV5Jvbblt0rqB8sa5/49ffr05MmTIyMjiQy1tbXanvr2aSzW0dGxpKSEnCKXy588eeLq6ooXdT//sP67deuWUqksLi6uqamxsbEZOXIkeW1gYKDKLdeQIUOuX79eUVEhkUiI2ReCg4OptyK2PXPmTEJCAkzeAPGg76P+kt7pjhmEbumhYeTiSX2LoLGX0axZsw4fPlxWVkbM56Uy96/GJubO0VjsvHnzdu3aRW6hPnToELnFCZqw1WIwGPiGQHsODg7kJz0dApM3IIgH+gC32Dx9+pT8p1xXV9dd5dvb29+7d6+9tV3/1tyJr7e/SZWJvzb9/PpNm4klh/HhWxOY7ceDAT5/01jmhg0bTp06FRAQcPToUU9Pz/Pnz69du5Y896/GJubO0VgsrphQKNy4cePIkSNv3ryZmJjo7u5OZIAmbKAn4PkB/czMzBBC5PePrl+/3o3xYM6cOeXl5ZcuXVK7tuvfmoVC4d27d8VisZb5f34tX37z9ytPZb9Jlfjnv6/lxxhuFJsM/ttGjcVqnPtXYxNz52gs1tzcPCcnZ9asWX//+9+XLFlSUlJy48aN+vp6ouMQNGEDPQH3B/SbOXOmmZlZRESEqakpfpFqx44dpqam3VV+eHh4YmLiggULdu/ePXv2bAaDcevWrdLSUjzKW9e/NXfo6+3Pr+WRBWpC3S/8sf+Y803QlchBdX8aZoM9ZJjVmgNavpI2ZcqUhw8fkuf+JbcXa2xiDgoKavseX2ubCcZPnjx58uRJ7YtFCPH5/MTERGJRKpVKJJKJEyeSC4EmbEA7uD+gn7GxsUgkamhomD17tpub22effXb06NFujAf4++mECRNWr15tY2PD4/E++OCDZ8+e4bVd/9bcoa+3V5+0O37AL/yxZR+fHfy3jewhw/CPkYvn8H/c0tjTlAzP/Ttx4sT2uu07ODj4+fl1+9WWuljccZ6wefPmlpaWtrEHN2H3RPUA0MZf2n796TOcnJxKS0vproW2lErlzZs3WSzW2LFje+gVpNra2tu3b7PZbE9PT5UxJ1S+3naOTCbT+PV2+c3ff5O2+3zbksM44WnWE8dOr2nTptXW1uLGq7y8vNLS0sWLF5NvMgDQAY2XRIgHQKfez3xFneGEp5klp6/dtl6/fv3cuXPV1dVKpdLU1DQoKMjf35/uSoF+R+MlEZ4fAJ16eyDrv6+pBoXue8EAITRp0iQ8pB0A+qwP/t8D+sx1INVXkHeHdnXkVwBAp0E8ADr1tjmbYm3wcCO6KwhA/wXxAOiU60BWtLtp20YhSw5DbToAQGfgvx/QNdeBrN3upsECjiWHgX/eHsg64WlG3ZTUUfn5+UuWLCkuLqb7cAHoNeB5MqCBJYcRPNyoR1uHKisrT506FRQU1G+nGAOgo+D+APQFnZiGXpvZcdvLQx6tGsOzjdJ9GgDoEogHgGb1ldU5odtSR/vjn/Q5y+srq7XctrGxEU8Px2azmUwml8tduHAhQigqKiokJAQhtGjRIj6fz+fzifkbnj179uGHH3I4HENDQw6Hs3DhwidPnhAFXrhwgc/np6enb9q0ydjY2NDQMCkpiUgXi8U4nc1m29nZ/fDDDwihixcvOjo6MplMDodDniUCgF4H2ouA7igbq5pKY1te5OJFhpFNfWPQlQVfkPPUV1ZnzF5uP/99t80faSxw3bp1CQkJkZGReDbKqqoqPJNlQEBAXV1dbGxsSEiIm5sbQggPnvHq1asJEyY8f/48KirKxcXl/v370dHR2dnZhYWFeBI0tfOSktP5fH5CQoJMJtu2bZtQKPzHP/4RERERHh5ua2srEoliY2NtbGzIk3QC0JvQPcMznZNHg5ycnPnz5xcUFOhgX7LnN1+cF6j8VP3T/maI0ykLt7Y/T3/K01imiYnJggUL1K5SO3/6tm3bEEKpqalECo4fYWFheFEkEiGE3N3d8UxnBJzu7e1NPnUIITabXV5eTiSOGDHC1dVVBycTgE7QeEmE9qL+Qm1/m0ePHolEoupqbdtnOq2lJrcuJ7htupGF0nF282AnNW8sP71xR2OxeCzVhw8falmN1NRUGxsb8jTLQqFQIBDgqEBobwrStWvXEp/x7LvTp08nz1rh4eGhMhUaAL0IxIP+Ave3UZlRUmdklSkUawepiwcPRBc0FhsdHV1RUYHnRl+1alV6ejp1/pKSEg8PD5VENzc3lYjS3hSk5ElD8ZiDuJWJYGBgQJ74DIDeBeJB70Pdl0apVLbt/aIl6i432vThaa8E4pmBWsMmqrmG1ldWa3ywHBgYWFZWtmPHDmtr65MnT86YMWPSpElSqZRik7Zjx7JYrLbz3QPQD0E8oEdlZSWfz//qq6+IlE8++URl1pSFCxeSp0yRSqWbN2+2srJis9kGBgYTJ04kT6n27NmzZcuW8fl8JpPJZrMHDhy4efNm4spI0d8G+/zzz7lcrqGh4aBBg/bt20deRb3f9jrkqFA2Ut2XGFkojSzURBruMJ7GM2lvbx8VFfXdd9/V19evXr36p59+wk8O1OLz+WVlZSqJFRUVlpaW3fe7BaC3gv5F9Bg2bBiDwbh06dJHH73pRXP69Om6uroLFy7gqbWUSuW5c+dw70m8OGPGjLy8vPXr13t4eDQ1Ne3du3fq1Km5ubn4fauff/65oqJiy5YtNjY2SqUyKytr7969EokkOTkZtd/fBtu8ebOZmdnx48cZDMbBgwfDwsLs7OzwzGIa99tehxwVrMET5JS3CE01ql9N3pr/fodOKYvFWrp06eHDh/HkM/gBQENDAznPrFmzDh8+fOvWLdz6jxDKy8srKipauXIljX8MAOgLup94d5hCoWhoaGhoaOj6w3R6LV682NDQUKFQtLa2FhQUIITmzp1rYWGB12ZkZCCEUlJS8OL+/fsRQpcvXyY2r6urs7W19fPzI06LSvl79uxBCD169Agvqu1vg7vNeHl5kYs1NDScN2+elvttr0OOisaSA207FxE/RZsd2/Yvqnv0WOM59Pb2/vrrr+/fv9/U1FRQUPDee+8hhHB3qZqaGiaT6eHhcfbsWZFIlJub29raWlVVZW5uzuPxzp8/X1dXd/78eR6PZ2Zm9ssvv5APR+UstZeOEFq8eLHK77Q3/p8C/USf6l+0devWBQsWuLq6uru7+/r60l2drvL3929ubr5+/TpC6OrVq+bm5uHh4TU1NbgLEE6fOnUqznzu3DlnZ+eZM2cSm3O5XD8/v8zMTNymj5vFlUplSUmJWCwWi8U4XZvJkMltR1wu19fXNy8vT8v9Yu11yCGwBk+gWFt2wZC8yB3Gm/7dCW0ai2Qy2YoVK5ydnY2MjNzd3QsKCpKTk0eNGoUQGjx4cGJiolQqXbJkyfz5848cOYIQ4vP5GRkZQ4YMmT17tqmp6ezZs83MzDIyMmDmegBQ72ov+vbbb0eOHOnv76+xG0mv4OPjgxDKysqaMmXK1atXZ8yYMXbsWCMjo6tXr77zzjtZWVlubm7m5uY4c1FRkZmZWUBAALkEiUSiUChkMhmHw0EIRUZGxsbGqrSQNDc3a6wJudsMQojD4TQ2Nmq/X9R+hxwC22KCqVdiQ2GYyoOER1KL7flzSkYPWV+ZPaT+JULIxJY3/bsTWp7DW7duKZXK4uLimpoaGxubkSNHktcGBgbiVi8yDw+PwsLCBw8ePHjwQCAQkHuLIoSCgoLaTmvcXnprm7kFT548CbNggt6rN8WD//73v/hbMP7u3NtZWVk5OztnZWVFRUWlp6cfOnSIwWD4+/tfvXp1zZo1N27cWLNmDZFZLpfz+fy5c+e2LQd/MY+Kitq9e/euXbsCAwPt7e1ZLJZYLJ42bVoXK6lxv9pjW0wY4JXYXPnv0qIzOKVSOvj9os0IITQU/f2vby8ZY/3FjOEdrSGDwcA3BB1ib28P9wQAqOhN8aCHZpmnka+v71dffSUWi1taWvz8/HDKhg0bLl68qFAocAomEAikUumyZcvaK+r06dOTJ0+OjIwkUmpra7teQ4377RCGsc0t1pKpt9QMOCp5Kd2e/quPw0Cft8y77wQDADqgr11hexdfX1+FQhERESEQCPDXVV9f3+bm5h07djCZTHKrvVAovHv3rlgsbq+o+vp6lZRjx46RF9X2t9FI43476mTeU4q1WRWvu2tHAICOgnhAp+nTpzOZzIKCgsmTJ+OUkSNHDh06tKCgYOLEieQGmfDwcHt7e6FQGBcXV1ZWVl9ff+3atZ07dxIjKAiFwuzs7JiYmBcvXty7d2/FihUqT5I9PT2ZTGZMTExiYmJSUhL5HQIKGvfbUVm/vKJYe/LOE61LAgB0sz4eD5z+Jz4+nu66qMHlcvHAnOQHtrjrlEoHKnNz89zc3Pfee2/Dhg1OTk6mpqY+Pj6HDh0iGsF37drl7e0dERFhYWHh4uIikUji4uLIJajtb6ORxv12lOSllHotdQYAQIfEx8cTl0GNmf/Sto8E7Zqbm7ds2UIsjhkzZsGCBeQMEyZMQAjl5uZSl+Pk5FRaWkr30XQzmUx28+bNlpYWV1dXKysrlbUVFRUSiUTtqh7dr/amHvlP1i+vKTK07u/1PYkB0E8aL4l6+jyZ3MytTY/J/sPAwGDKlCntrXVwcFDpQKmb/WpvylvmFPHg/4617kBZAIBupY/xwNDQ8OjRo3TXAvQIH4eB29t/e+Tz6R3ubwoA6C59/PkB0Dc+b5lnfuIuGMRRSRcM4qhNBwDojD7eH7Tn7NmzFRUV6H+tSTt27EAIOTg4qDxdAHrO5y3zzI9Hf5P3hOhNJDDnZH4ymu56AdDf6ePz5PasWrUqKytLJdHHx6e9xqU++TwZAAA6p7c+T1YLHioAAEDPgecHAAAAEIJ4AAAAAIN4AAAAACGIB0BvFRYWBgcHEzPzAAB6GsQDoKeqq6tFItHjx4/prggA/QXEA6Cn3N3dRSIRHu8PAKADvam/KegbZDKZgYEBsahUKpVKZdvZ1qytrdVOXam2EABA18H9AehxFy5c4PP56enpmzZtMjY2NjQ0TEpKevbs2bJly/h8PpPJZLPZAwcO3Lx5s1T6x2DXmZmZfD7/hx9+IBeSmZn5+eefc7lcQ0PDQYMG7du3j+6DA6DvgPsD0OOampqqq6vXrl3L5XLj4+M5HI5AIPj5558rKiq2bNliY2OjVCqzsrL27t0rkUiSk5PJWxERAi+GhoaamZkdP36cwWAcPHgwLCzMzs4uMDCQ7kMEoC+AeAB0xNjYODc3l2gXUiqV5AmihUIhn8+PiIiorKwcNmxYe4WYmZnduHEDf541a5aFhUVSUhLEAwC6BcQDoCOrV68mPyRgMBgIIaVSWVZWVlVVhT8jhPLz8yniwaeffkp85nK5vr6+0CEVgO4C8QDoiLW16lw3kZGRsbGx5LmPkKbpj0xMTMiLHA6nsbGR7iMDoI+A58mAHlFRUbt3796yZUtpaWlLS0tra2tGRgbdlQKgX4P7A0CP06dPT548OTIykkipra2lu1IA9GtwfwDoUV9fr5Jy7NgxuisFQL8G8QDQQygUZmdnx8TEvHjx4t69eytWrMjPz6e7UgD0axAPAD127drl7e0dERFhYWHh4uIikUji4uLorhQA/Vpvmi+zo2C+TP1XUVEhkUhcXV2trKzorgsAfVyfmi8T9D0ODg4ODg501wIAgBC0FwEAAMAgHgAAAEAI4gEAAAAM4gEAAACEIB4AAADAIB4AAABACOIBAAAADOIBAAAAhCAedJf4+Hi6qwB11l+9sdpQ535YZxivovftC+pMdy36RbWhzn2vzhr3BfcHAAAAEIJ4AAAAAOvL7UUffvjh7du36a4FAADohXHjxv3rX/+iyNCX4wEAAADtQXsRAAAAhCAeAAAAwCAeAAAAQAjiAQAAAAziAQAAAIQgHgAAAMAgHgAAAEAI4gEAAACMRXcFehmlUimVShFCxsbG2uRvbGxsm6jltnp4OLpUXl7+8OFDNpvt5eXFZrM15tfPU93Ro9Dbuunn6SXT5z/mDtWNxlMN7ydra+vWrQ8ePCgqKpLL5ebm5rm5uRo3aWlpefvtt1USTUxM/vOf/9B9NJ05HJ2pra1dt25dTk4OXhwwYMC+ffumTJlCsYkenupOHIXe1k0PTy+ZPv8xd7Ru9J5quD/Q1rfffjty5Eh/f//09PQObThhwoSgoCBikcXSi3Pe6cPRgYiIiJycnKioqMDAwMrKyo0bN65Zs+b8+fP29vbUG+rVqe70Ueht3fTq9JLp8x9z5+pG26luBdpRKBT4w/jx48ePH6/NJjKZzNHRMTIyku66d8/h6EZJSYmjo2NUVBSR8uuvvzo6Om7ZsoViK3071Z07Cr2tm76dXhV6+8fcibrRe6rhebK2GIw+da709nCuXLmCEJo+fTqRIhAIXFxcLl26RHfV+shR6HPdOkdv/5j1vG5t6csdXx9WUVERHh6uUCiGDRvm7+8/YsQIumuk1yoqKhBC48ePJyeOGDHi7t27L1++HDRoEPW2enKqu3IUels3/Tm9fR5dp7o3xa5e6v79+w8fPiwsLDxy5EhAQMChQ4forpFea2hoYLFYKt1djIyMEELl5eXU2+rPqe7KUeht3fTn9PZ5dJ1quD/oQUwmMzExcfTo0Xjx4cOHa9eujY+Pd3FxmTp1Kt2101MymaztLTZOaWlpaW8rfTvVnTsKva2bvp3ePozeUw3xQFVzc/OWLVuIxTFjxixYsKBzRTEYDOL3ihCys7OLi4ubPn16amqqzv4XdePh6KZuBgYGCoVCJadSqUQIUfSR14dTTda5o9Dbuunb6e3D6D3VEA/UaGhoID43Nzd3Y8l2dnZGRkYFBQV943B6om4mJiYKhaK5udnQ0FAlm7Ozs/Yl03KqCd11FHpbN3pPb7+iy1MN8UCVoaHh0aNHe6hwpVKpUCh0+TixRw+nJ+rm4uKSlpaWk5ND/jZUVlY2ePDgAQMGaF+47k91TxyF3taN3tPbr+jyVMPz5G6jVCpzcnLu379PkSc1NVUmk40dO5buyuqvd999FyGUlpZGpNy9e7ekpGTmzJlEiv6fam2Ogi4a66b/p7fP0LdTDfcH2jp79izuqIfvrHfs2IEQcnBwIJrjFQrF0qVLfXx8iO+8X3zxhVwunzx5srGxcUtLS25u7jfffGNubr5ixQq6j0bz4dBFIBDMmzcvJSWFz+f7+vo+f/48Ojra1NR01apVRB79P9XaHIXenmH9P70q9PaPWWPd9O1UQzzQ1rVr17KysojFM2fOIIR8fHwo/uaGDRt28ODBc+fOESne3t5RUVFWVlZ0H01nDkdndu7cyWAwjh8//tVXXyGEhg8ffvDgQeqTpoenuhNHobd108PTS6bPf8wdrRu9pxrGs+txT548+fXXX5lM5ujRo2nvW9KL1NfXFxcXW1paOjg4aLmJHp7qThyF3tZND09vX0XXqYZ4AAAAACF4ngwAAACDeAAAAAAhiAcAAAAwiAcAAAAQgngAAAAAg3gAAAAAIYgHAAAAMIgHAAAAEIJ4AAAAAIN4AAAAACGIBwAAADCIBwD0oNra2mvXrj1//pzuigCgGcQDALpHenr6pUuXyCmnT5/29PRcuXKlr6/v9evX6a4gABpAPACgGygUiuzsbH9/fyIlNTX19u3bly5dun///o4dO7788ku66wiABhAPAOgGqampQUFBxGJtbe2NGzfi4uLs7OwYDMbcuXMHDhxIrC0tLb169eqzZ8/orjUAfwLxAIBucO/ePVdXV2LxzJkzYWFh5AzW1tb4w8mTJx8/fmxgYLBu3bqzZ8/SXXEA/gDzZQLQDfDsuASZTEae4LClpcXU1BQhVF5efuvWrfnz5xsaGg4ePHjevHlTp04lQgUA9IL7AwC6QU1NDfH59u3bzs7O5LX79u374IMPEEJKpTIvL+/p06cIIQcHB4VCUVZWRnfdAXgD4gEA3cDKyiolJQV/vnLlyujRo4lV+/btMzMzGzFiBELIyckpLy/Pzs4OIfTf//7XyMjI3d2d7roD8AbEAwC6wYYNGw4dOrRq1SqxWHz9+nUzM7OHDx+ePXvW39+/tbX1k08+abvJl19+uXPnzgEDBtBddwDe+EtrayvddQCgL3j58mVcXNy5c+fkcjlOcXd337Bhw7hx49pmPnTokEAgCAgIoLvWAPwB4gEA3enQoUMlJSUffvjhqFGjDA0N1eb5/vvvzc3Nvb29X79+/fLlS3t7e7prDQBC0F4EQPe6cuWKv7//+PHj2wsGP/3008CBA0ePHl1fX5+UlATtRUB/QH9TALpNdXX1vXv3hg8f3l6GioqK1atXS6VSvGhgYLBq1Sq6aw3AGxAPAOg2YrGYxWI5OTm1l8HBwaGoqIjuagKgHjw/AKDb3L59+/Hjx3PnzqW7IgB0BsQDAAAACMHzZAAAABjEAwAAAAhBPAAAAIBBPAAAAIAQxAMAAAAYxAMAAAAIQTwAAACAQTwAAACAEMQDAAAA2P8HgC2w0EiJWGwAAAAidEVYdENyZWF0aW9uIFRpbWUAMTEtT2N0LTIwMTcgMTU6NTk6NDg7E4RRAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDE3LTEwLTExVDE1OjU5OjU2KzAyOjAw31ImIwAAACV0RVh0ZGF0ZTptb2RpZnkAMjAxNy0xMC0xMVQxNTo1OTo0OCswMjowMDKa5VwAAAAkdEVYdFNvZnR3YXJlAE1BVExBQiwgVGhlIE1hdGhXb3JrcywgSW5jLjxY3RgAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": { "image/png": { "width": 700 } }, "output_type": "display_data" } ], "source": [ "display(Image(filename=\"KeywordClustering.png\", width=700))" ] }, { "cell_type": "markdown", "metadata": { "nbpresent": { "id": "66eecb99-27ad-44ea-a116-7d2736209377" }, "slideshow": { "slide_type": "slide" } }, "source": [ "# Conclusion and Outlook" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Conclusion and Outlook\n", "- kernels implicitly compute inner products in well-behaved vector spaces\n", "- use angles, norms, distances in these for ML algorithms\n", "- successful models in ML build on PSD kernels\n", " * kernel induced covariance structure (Gaussian Processes) \n", " * kernel embedding of probability distributions \n", " - measuring distance between distributions\n", " * kernel embedding of conditional probability distributions\n", "\n", "Get slides at ingmarschuster.com" ] } ], "metadata": { 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