{ "cells": [ { "cell_type": "markdown", "id": "0086791e-b00b-4f4a-98f9-b752790e18bd", "metadata": {}, "source": [ "# 2025-10-22 Regression\n", "\n", "* Bias-variance tradeoff\n", "\n", "* Linear models\n", "\n", "* Loss functions and partial derivatives" ] }, { "cell_type": "code", "execution_count": 1, "id": "305fc2c3-c0b6-4127-983b-b810e33db5a4", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "vcond (generic function with 1 method)" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "using LinearAlgebra\n", "using Plots\n", "using Polynomials\n", "default(lw=4, ms=5, legendfontsize=12, xtickfontsize=12, ytickfontsize=12)\n", "\n", "# Here's our Vandermonde matrix again\n", "function vander(x, k=nothing)\n", " if isnothing(k)\n", " k = length(x)\n", " end\n", " m = length(x)\n", " V = ones(m, k)\n", " for j in 2:k\n", " V[:, j] = V[:, j-1] .* x\n", " end\n", " V\n", "end\n", "\n", "# With Chebyshev polynomials\n", "function vander_chebyshev(x, n=nothing)\n", " if isnothing(n)\n", " n = length(x) # Square by default\n", " end\n", " m = length(x)\n", " T = ones(m, n)\n", " if n > 1\n", " T[:, 2] = x\n", " end\n", " for k in 3:n\n", " #T[:, k] = x .* T[:, k-1]\n", " T[:, k] = 2 * x .* T[:,k-1] - T[:, k-2]\n", " end\n", " T\n", "end\n", "\n", "# And our \"bad\" function\n", "runge(x) = 1 / (1 + 10*x^2)\n", "\n", "# And a utility for points distributed via cos\n", "CosRange(a, b, n) = (a + b)/2 .+ (b - a)/2 * cos.(LinRange(-pi, 0, n))\n", "\n", "# And a helper for looking at conditioning\n", "vcond(mat, points, nmax) = [cond(mat(points(-1, 1, n))) for n in 2:nmax]" ] }, { "cell_type": "markdown", "id": "6320af11-0aa8-44ca-a06d-2fd94d9c41b8", "metadata": {}, "source": [ "## Bias-variance tradeoff\n", "\n", "The expected error in our approximation $\\hat{f} \\left( x \\right)$ of noisy data $y = f \\left( x \\right) + \\epsilon$ (with $\\epsilon \\approx \\mathcal{N} \\left( 0, \\sigma \\right)$) can be decomposed as\n", "\n", "$$ E \\left[ \\left( \\hat{f} \\left( x \\right) - y \\right)^2 \\right] = \\sigma^2 + \\left( \\underbrace{ E \\left[ \\hat{f} \\left( x \\right) \\right] - f \\left( x \\right)}_{\\text{Bias}} \\right)^2 + \\underbrace{E \\left[ \\hat{f} \\left( x \\right)^2 \\right] - E \\left[ \\hat{f} \\left( x \\right) \\right]^2}_{\\text{Variance}} $$\n", "\n", "The $\\sigma^2$ term in irreducible error (purely due to observation noise), but bias and variance can be controlled by model selection.\n", "More complex models are more capable of expressing the underlying function $f \\left( x \\right)$, and thus are more capable of reducing bias.\n", "However, they are also more affected by noise, thereby increasing variance." ] }, { "cell_type": "markdown", "id": "70ac8e04-33d1-45d0-b307-afe2e5c9a1b8", "metadata": {}, "source": [ "## Regression using polynomials\n", "\n", "What happens as we change the order of our Chebyshev polynomial fit?" ] }, { "cell_type": "code", "execution_count": 2, "id": "e2ead4ed-70d6-45fa-a2a6-89091bff9e98", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(size(ytrain), size(yfit)) = ((500,), (500,))\n" ] }, { "data": { "image/png": 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"scatter!(x, ytrain, markersize=2, label=\"data\")" ] }, { "cell_type": "markdown", "id": "f8699d20-a7a2-4b01-a744-ec14e88d55e0", "metadata": {}, "source": [ "What would be a 'good' fit here in the presence of noise?" ] }, { "cell_type": "code", "execution_count": 3, "id": "712d6cb5-f525-4804-8e2e-9b299ce31e0c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "norm(yfit - ytrain) = 6.867102943814644\n", "norm(yfit - ytest) = 6.663493966695996\n" ] } ], "source": [ "ytest = runge_noisy(x, 0.3)\n", "@show norm(yfit - ytrain)\n", "@show norm(yfit - ytest);" ] }, { "cell_type": "markdown", "id": "a4e2d0ef-b4d1-492b-972b-4e948564a2c5", "metadata": {}, "source": [ "Which order seems to best capture the underlying true data without the noise?" ] }, { "cell_type": "code", "execution_count": 4, "id": "9d4bd647-aa78-4d39-a434-9ad69e1fc390", "metadata": {}, "outputs": [ { "data": { "image/png": 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"79c9a106-c8ea-4706-be87-d03a1fe2d94c", "metadata": {}, "source": [ "What about from this plot?\n", "Which degree seems to be the best at matching the underlying data without overfitting to the noise?" ] }, { "cell_type": "code", "execution_count": 5, "id": "7daf158a-804f-47af-9ce1-79e00361d900", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "size(res) = (10, 2)\n" ] }, { "data": { "image/png": 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37t01S8zMzE6cOLFr164LFy4olcpZs2ZNmDBBM/6WDok8A8quHuemNY8J0b8MQEsicGzlOHOlcWvgfnwpFI81W+3ateu1a9eKi4ttbGzq2dbe3n7EiBEjRoxo27bt/PnzIyMjBwwYwI3fxDWnBx3SVxC2adOm/m5CfX19fX19ayzk8/lvvvnmm2++qaeqONrDUISUVwXhzXyWJcJDQgDQFe6twaioqCFDhmgWzps3b/To0dOmTdu6datmBMGsrKz4+Pi+ffuWlJRERESEhYVpXgXhnjFx7e3d3Nz4fP7169e121LA8zOh8Qg1hK29GWHV82dXZYGLooCIShSUVIqLQgDQmZCQkNDQ0KVLl7q7u/v6+n7xxRdENGrUqM8++2zPnj2+vr7h4eHjxo3r1auXp6fntm3biKi4uHjQoEHe3t7h4eFTpkzp27fvqlWr3nrrrXbt2hGRWCx+5513du7c6eLi4uvr+/bbbxv5G7YUpvLy3GN4fKGbr/zhPW4uWBZ3UtiTiG7ksT5W+CULAHSDYZhz584dPXo0KSmpsrKyW7du3PIVK1a8/vrr27dvj42NLS8v79Kly7x587iellu1anX48OELFy4kJiZmZWW1b99+0aJFQ4cO1Vz/bdy4cezYsXfu3JHJZDX6o4FnZpJBSCTyCtQEYYgs7qR1TyKKLmBHtjFqWQDQsgiFwtdee+3J5V26dOnSpcuTywUCwdChQ4cOHVrPPsPCwrQbHsLzM8Vbo1THwIR4gwIAwASZbBBWt5cJKo9jWJaIbuYbryAAADASEw1CgWNrnnlVey1bVamXIouI0srY3Kfr1hwAAJo9Ew1CYhihR/XwJZrR6m/i7igAgIkx1SCs8ZgQQQgAzUd6evq33347Z86cGTNmsEbsWPWZ5Obmzp49++zZs8YupJopB2Htr9UbqRwAgEZJSkpq167dF198ER0drZNuSD/99NM//vij/nWio6MXLVpUY4CgZ1NYWPj9999znYw3EaYchNVXhB0rEgSkIgQhADR5W7duLS0tvXHjxvnz50+dOvX8Xcx88803R44cqX+dmJiYr7/+Ojk5+TmPRUROTk5r1qx58cUXn39XumKi7xESEd/WkW/joCrOJyJzdaV/Reo9sfeDYrZcSRame1YAoKlLTk62sLCo0XtzM2JnZzd//nxjV/EYk/6RL/LwlxVXvTMRIou9J/ZWsXS7gO3pjP5lAJq9qKzoG9m3VWqVYQ7nZuX6kveLYoEZN7thw4bNmzfv2LFj5cqV+/btKy8v79Gjx9q1a3v27KnZRK1Wf//995s2bXrw4AGfzw8NDV25cqVmhcuXL8+ZM+err76KiorasGHDw4cPv/zyy3379iUlJVVUVHD91IwePXrhwoVE9ODBg6VLl546daqwsNDd3f2tt95aunQp10k3Jzo6+t///veZM2eKiopcXV379u27evVqPp8/YsQIuVx+9OhRboc2NjZnzpyp8dV+/PHHNWvWENHMmTOtrKyIaMKECfPmzduzZ89XX321ZcuW7du3//rrr1lZWWfOnAkLC1u9evWBAwfu3btXUFDg5OQ0fPjwr776ytHRkdtbamrqyJEj582bN378eCL6559/3nvvvZUrV967d2/dunWpqan+/v5z5syZOXOmXv6eamPSQSj0DJTducpNB8vidti9TEQ3EYQAzd+GG//bEbPPwAfdc//QD4NXSYQWRJSZmRkVFTVy5EgnJ6e1a9fm5+d/8803AwcOvHr1aseOHbn1J0+evG3btlGjRs2ZM0cmk23YsOHFF1/866+/uCwsLi6OiopauHBhQUHBhAkT7Ozs2rRpM3r06B07dkilUm7Yeq57mujo6P79+1tYWHz44YceHh5Xrlz56quvYmJi/vzzT+5A58+ff/XVV21tbWfNmhUYGJiZmXnkyJEHDx706NFj9OjR0dHRnp6e3A7Nzc2f/F4dO3bs1atXUlJS//79ucESgoODiSgnJycqKmrKlCkKheK9994TCoVc2m3YsOGVV1558803raysIiIitmzZcv369YiICIFAQEQymezatWuaMfhKSkqioqI+/fTToqKi6dOni8XiLVu2zJo1y93dPTw8XK9/XxomHYSPNxxFexmAFiJDmrUz5k/DHzepOOXPB0cmdBytWWJnZ3fixAkuAMLDw4OCghYvXnzo0CEiOnLkyLZt25YtW/b5559zK0+ePLldu3Yff/zx+fPnNXvIysq6c+eOnZ2dZsnNmzcTEhK4C0HOtGnTzMzMbty4wQ1S8fbbb/v7+y9YsODs2bNhYWFKpfKdd94RCoURERHu7u7cJgsXLlSr1Tweb+HChcuWLevYsaP2Dmvo169fenr6jh07xo0b92TvbizLRkREaA+Zd//+faFQyE2/9dZb3bp1mzx58smTJ7VH4aiBG6+YG45j/Pjx3t7ev/76q8GC0HQbyxAXhI+eM7etSBGzckIQAjR/aSUZLBnnP3JKabr27Ny5c7kUJKJ27dq9+uqrJ06ckMlkRLR9+3aBQKD9tMza2nrMmDF///23VCrVLJw6dap2Cj4pNjb22rVrkyZN4lJQsxXDMMePHyeiiIiIhISEd999V5OCHM1IT89pzpw5NQaO5VIwPz//9u3bUVFR3HEjIyPr2cm0adM0g1K5uLh07NhRJw1iG8mkrwh5FlYCh1bKvAwiErDKDrLEKIu2twpYFUt83BwFaLZ8bL34DF/FGujpoDY/u8d67ueGT9Jo3779oUOHUlJSAgMD7927x+PxajSezM7OVqlU2dnZmlTw9/enet2/f5+I/vjjjxrP9hiGycjIIKIHDx4QUefOnZ/tGzXoyQp/+eWXzz77LDU1VXthcXFxPTupMZKGvb19XFycjgpsmEkHIRGJPAO4ICSiYFlclEXbciXFFrPtbJGEAM2Vo4XDjM5vr7/+s4GvCzs5tX/N/1XtJZrLQe1ZlUpFREql0tLSknsyV4Otra1m2sLCov6DKhQKIurRo0fXrl21l48ePbpt27ZExL1xX6MSHapR4enTpydNmjRs2LDff/+9TZs2FhYWxcXFbdq0qf/Ffz6fr6fyGgNBGFB+/S9uWvsxIYIQoFkb2+717q06X8+6JVfLDXA4MV/saunUq3U3HvPY/caEhATtC6aEhAQej8fdKvTy8rp///7s2bMbjLr6cddSPj4+dT3k41bgLhxrxTBMg93TNP5txb179/J4vO3bt1tbW3NLdPIavl6ZehAKtfqX0e5o7U1fIxUEADriY+vlY+tl3Bq2bNnyyiuvcNO5ubkHDx7s06cPlxAjR448cuTImjVrli5dqr0J14al8YcICQnx8fHZunXrggULNK8oaO+qT58+Li4u69evnzt3LvfyQw1OTk4FBQX1H8XZ2ZmI8vMbHqOHK147WX/44YfGfBEjMunGMkQkcvcjXtUluY88w1olJbSXAQAduXz58syZM//++++DBw+GhYVVVlauWLGC+2jixIkDBgxYvnz51KlTjx07FhERsW/fvrlz5z5tU0k+n79+/fqioqLu3btv2rTpypUrZ8+eXb9+fb9+/U6ePElEYrF43bp1mZmZPXr0+O233yIiIg4fPjxz5sxLly5xewgNDT1z5szixYs3bdq0bdu2Wo8SFBRkaWm5fPnytWvXbtq06erVq3XVM2jQILVaPX78+EuXLl24cGHatGlNqlvRWpn6FSEjMhO6eioykoiIYdkgWcIly+DrCEIA0IWdO3fOnz9/w4YNROTs7Pz7778PGDCA+0ggEBw9enTp0qWbN2/esmULt7Bt27YzZszgpoVCoZ2dnUgkqrFPiUSi/RCRiF5++eWzZ88uXLjw3Xff5S7FLCwsBg8erLkrO27cOLFYvGjRookTJ3JLgoKC3n//fW56zZo1QqFw//792dnZ9vb2b7311pNfxNHRcffu3V9//fXatWvLy8vff//9Xr16mZmZ2dnZ1Xi89/rrry9fvnzlypVHjx4loj59+hw+fLh///6aNxT5fL6tra2moWmtX9PS0tLGxqYxZ1gnGr413JRJJJLc3NznvMNeuPPbsqsnuOmvXd763mk0EaW9KXCTtMzHhKWlpbXeHoGnhTOpK7o6kxMnThw8ePCECROef1fP7/PPP1+xYkVGRkarVq0yMzNLSkp8fX1rbbGiUqlSU1MrKio8PDwkEsnzHLSwsDA7O9vGxsbFxaXW+6uZmZnFxcUuLi71v5Lx/ORy+cOHD21tbbl7qjrRrVu3jRs31mgTpBOmfkVIRCLPQE0QVreXKSC35/oHCQBQpVWrVq1atarrUz6fX+PlgWdmZ2dXf8LVX4kOiUSigICAhtdrGkz9GSE9Ph6Tpr3MjbxmfKEMAACNhyAkQSsvRlh1e7qVIt9FUUBE0QUIQgB4dl27dp0+ffpzPrgBw0AQEsMXCN2q35YIqognohtoLwMAz2H48OEbN240ZIsPeGYIQqLHe9/mRqtPLGGLDfEaLgDAs1AoFCkpKYbskLMFQxAS1faYkCW6hbujAND0KJXKqVOnWlhYeHl5+fr6qtXq59xhUlJSTk5O/etIpdLExESuu3CdkMvliYmJJSUlutrh80AQEtUcjymOYVnC3VEAaJK2bdu2ZcuWzz//PCIiIjIy8vkHkWjfvv2CBQvqX+fQoUO+vr5Xrlx5zmNp3L9/39fX95dfftHVDp8HXp8gIhI4ufHMLdUyKRHZqko9FdnJItdoBCEAND3Xrl0TCoVLlizR1ThKgCAkIiKGEXr4Vcbe5OaCZbHJIldcEQI0dwqpUlX5vHcOG4MnYIRWAoZX3QvH3bt3Y2JiwsPD7927d/DgwZKSkt69e7/xxhs10quoqGjv3r0xMTEikSg0NHTIkCGaFbKysi5evNinTx8+n79z587k5ORhw4YVFBTcunWLz+fv3buXiPz8/DTjK125cuXUqVNFRUVubm5jxozx8PCoUeSlS5fOnDlTXFzs7Oz8wgsv9O7du7y8/NixYyqVKjk5effu3UQkEolee+21GhveuXPnn3/+IaLz589z3Y0GBgYGBQVxn6ampu7duzclJcXKyuqVV17p3bu39raJiYkHDx5MSUmRSCQeHh4vvfSSj49PSkoK1/3bzZs3ueO6urq+8MILz/E38FwQhFVEnoGaIAwpjzto0+9uIStXkwi/cgE0Q9L0itjtaeVZFQY7okDM93zVufULDtzsrl27VqxY8fnnn69cuTIgICA/P3/t2rWDBw8+cOCAmZkZt865c+dGjRpVWlrq5+dXUVHx1VdfDRw48ODBg9xLFzdu3BgzZszixYs3bNigVCqtra1tbGx+/fXXnJwcuVy+aNEiIpowYULnzp3lcvnbb7+9c+dOR0dHNze3+Pj4zz77bPv27SNGjKg6G1LpuHHjjhw5YmVl5evrm5WVtXjx4uPHj7dt23bRokVKpfL69evcDm1tbZ8MwhMnTuzYsYOIfvrpJ66ntKlTp3JBuGnTpjlz5vD5fF9f35ycnBUrVsyaNUvTy/Zvv/02efJkS0vLtm3bSqXSpKSkTp06Xbly5ebNm//973+J6ODBg3/99RcR9e/f34hBiB/zVR5rOCqLJSK5mu4V4aIQoPlRK9QxPz00ZAoSkbJClfhnZuF9qfbC77///u+//75z505mZuZnn3124sSJVatWcR+lpaWNGDHC29v7wYMHMTExiYmJO3fuPHfuXI3BKNasWbNmzZri4uK0tLTFixcnJCQMGzbMwsIiISEhISFh+fLlRPTJJ5/s3Llz3bp12dnZN2/eTE5O7t69+8SJEzMzM7mdzJo168iRI6tXry4qKrpx40ZmZmZkZGRgYKCXl1dCQoKZmdmIESO4HUZFRT351ebPn79u3Toi+u2337jVFi9eTETnz5+fOXPm0KFD09PTb926lZGR8cknn/z444/bt2/nNvzoo49CQ0MzMzOvXLly+/btvLw87usPHz78yJEjRLR06VJuh1u3btXp38bTQRBW0W442rEiQUAqQv8yAM1TyUOZvE16qUcAACAASURBVERplEPnRT82DvsHH3zQvXt3bnrZsmUBAQHr16/nenhev359cXHxzz//3KZN1aD2Y8eOff3117du3ardEPSNN96YMmUKNxyg5lJSW2lp6Q8//PD666/PnTuXu63q4ODw/fffl5WV7dy5k4hSU1O3b9/+8ssvL1iwQHPftWvXrs/fr9vXX39tbW39v//9j+sEnMfjrVixwtfXd/PmzUSkUChyc3Pbt2+v6V9bLBYb8bKvHrg1WoVv68i3tleVFBCRubrSvyL1ntgb/csANEd8kdF6zOc//jTlpZde0kzzeLyBAweuX78+LS3Nw8PjwoULEonkwYMHDx480KwjEAgKCwszMjK4wXuJqH///vUf8dq1azKZzMbGhnvYxlGr1Xw+/+7du0R09epVtVqtuU2qQxcvXvTy8jp+/Lj2QgcHB+64QqGwf//+mzZtKiwsDA8PDwsLc3V11XkNOoEgrCbyDJDdqRpkK1gWd0/sjfYyAM2RlaeFpbu5NE1nL701EsNnXHo+1ue1i4vLk7NFRUUeHh75+fkKhYJ7MqfNx8dHLq/uzqPB0Ru41ivHjx+/ePGi9nIvLy/uWWNRURERubm5Pe3XqV9lZaVUKk1JSXnyKzg5OXETf/zxx2effbZ79+6dO3cyDNOnT59169Z169ZNt5U8PwRhNaFnoFYQxu60G3Qjj2WJWuZoTAAtGEMdZng/PJxVkljGGqLRKBGRmZ3Qc7CzpLVYe2FOTo72Hcjc3Fwi4vpds7GxkUgk8fHx3G3PutT/KRFx490vWrRo3rx5ta7AHS4jI6Mx36LxRCKRWCzu1q1bPePuOjo6rl+//vvvv7958+bRo0e//fbbwYMHx8fH63sQqKelxyBkWfbPP/+8ePFidnZ2q1atwsLChg4dWs/68fHxXINgbV26dBk0aJD+itT22Gv15XFEVKKgh6VsGytEIUAzI5Tw/cfq+BroGfz11189evTgplmWPXfunIuLC/diQ58+fa5evfr333/37dv3eQ7RvXt3oVB46NChuoKwd+/ePB7v8OHDmiF/a7CwsKisrKz/KNzFpfalKsMwvXv3vnbtWnZ2do0L3xr4fH7Xrl27du1qb2///vvv37x5c8CAAdwOGzyuYeirsUxZWdkLL7wwcuTIP//8Mzs7e9euXcOGDXvllVe0z2MN9+7dW/SEAwcO6KnCJ4k8A+jRL1/tKpPFrJzQvwwAPIdvvvnm9u3b3PSqVatiYmJmzJjBXeTNnj3b0tLynXfeiY6O1qyfmJj4tJ2t2Nvbv/vuu2fPnv300081P2AVCsW+fftiYmKIyMPDY9y4cYcPH9a00yGi+/fvp6SkcNNt2rSJiorKzs6u5yg+Pj5EdPLkSYVCoVm4aNGisrKyf/3rX9qXm1FRUYcOHSKivLy8n3/+uaysjFuuVqu5Jqncrtzd3UUi0fnz58vLy5/q++oFqx9cG9k5c+aoVCqWZbnXXIho8+bNdW1y8OBBIjpw4EDjj2JhYVFWVqaDch/J/Pek1LmDuT9d/nubfpJ/FqnU4f6bgpKSEmOX0ELgTOqKrs7khAkTfv31V53s6vlxb0EsXLjQzMysR48e3E///v37l5eXa9Y5ffq0o6Mjn8/39/fv27evp6cnj8fr168f9+nRo0eJaO/evTX2PG7cOEtLS+0lFRUV48aNIyJbW9vevXsHBQVZWVkR0enTp7kVioqKBgwYQEROTk6hoaH+/v4Mwxw/fpz7dPfu3Vx7VEtLS19f37q+0RtvvEFEPB7Pzs7us88+4xZu2LDBzMxMJBIFBQX16tWLuzScM2cOy7Jch+Dm5uZBQUFhYWHu7u4Mw3z++eeaHX766afc7wS2trajR49u8JR27do1MjKywdWegb5ujXK/48yZM4drrSsUCufOnfvLL7/cuHFDT0fUCZFngDKv6s2bYFnsdYvAm/nGrQgAmrG5c+eGh4fv37+/vLy8R48e//rXvwSC6p+6AwcOTEhI2L17961bt5RK5aBBg3r06BEWFsZ92rFjx40bN2o6jtGYOnXqyy+/rL3EzMxsx44d8+bNO3HiRHp6uo2Njbe395AhQzSPJ21sbM6cOXP8+PFz586VlJS4uLj069fvxRdf5D4dNWpU3759r1+/npWVpV1eDXv37r1x40ZCQkJBQYGmW5kZM2YMHTp07969cXFxfD7/9ddf79+/P3c32Nvb+/bt2xcuXIiPj6+srAwLCxs+fHinTp00O/z3v/89ceLE+/fvZ2VlPdkPjiHpKwi5b1VYWKhZUlBQQESenp4NbltZWSkUCo3SjZ7QM5Cun+emgyviiOgmbo0CwHMIDQ0NDQ2t61Nra+t33nmn1o88PDymT5/+5PKBAwfWun7Pnj179uxZ14EYhnn11VdfffXVWj91dXUdMmRIXdtqdO7c+clgdnd3nzt3bq1H7NixY8eOHevZYUBAQEBAQD0rGIa+wmbWrFmurq6zZs2KiooqLi6+fPnyvHnzvLy86vor15g6dapYLBYIBEFBQZs2bWJZg+bQkwMTppaxeQbtngIAAAxKj1eEV69eHTlypOaVkdDQ0NOnTzs4ONS1CcMwPXr0ePHFF52cnNLS0n7//fcZM2bcuXPnu+++q2sTpVK5evVqoVDIzXbo0KExv9TUg3HxJh6f1Coi8pFnWKukJXzLyGzFwNbPs9emRaFQaD/uhmeGM6krujqTBv69GQxPqVQ+7T8VPp/f4P1FfQVhenr6sGHD0tLSFi5c6Ovr++DBg40bN4aHhx85ckTzrmUNQ4cOHTZsmGZ22bJlvXr1+v777zW9uz6JZdnCwkJNEJaUlDzvGJUCocDZXZmVTEQMywbJEi5ZBt8sYAe4tpz/YGq1+vlH8gTCmdQdXZ3JJhWE3It93Dt8oCvP8E+lMU/Z9BWE8+fPv3fvXkRERJcuXbgl4eHhL7744tKlS9evX1/rJjXeG7W1tV20aNHkyZNPnTpVVxAKhcKVK1dy76Poipl3Wy4IiShYFnvJMvhOMd/MjK/DQxiXXC6vtcdCeFo4k7qiqzPZpMbnMzc35wZqAB0SiUT6+E+nr383Z8+e9fHx0aQgEfXv39/V1fXMmTON3wnX2552ixsD0O59O1iG9jIAAC2cvoKQZVnNe5QctVpdVlbWYHdB2q5du0aNa2iqQ4/1LyOLI6L7RWy5cTqyBwAAvdNXEL744osZGRkbN27ULFm9enVpaanmzRUiGj169LvvvquZ3bNnD9c5LOfUqVMrV66USCRPjhKpV4JW3oxQxE23VuQ5KwtULN0pxEUhAEDLpK9nhF999dXff//97rvvbtq0yc/P7/79+7du3fLx8Vm2bJlmnUOHDml3iP7pp59OmDDB19fXxcUlNTU1Pj7e3Nz8119/rb8XO51j+AKhm4/84X1uNlgWf8qqx818tocTehwFAGiB9BWEvr6+t2/f/vnnn2/dupWVldW5c+cpU6ZMnjyZ6yids2TJEq4fIM4PP/xw5syZ+/fvl5aWtm/ffsKECZMmTfLy8tJThfUQeQZqBWEcF4SGLwMAAAxAj6NPODg4LFiwoJ4VuL74NAYOHFhXjwkGJvKo+Vo9ghAAoKXCeIS1EHk91nCUYdnoAlKxxMfNUYCm7eHDh9wQB9Dy6G+cCgRhLQRObjxzS7VMSkS2qlIPRXYK4xpXzLa1RRICNF2dOnXatWvX/v37jV2I0ajV6ib1MqVuSSQSZ2dnfewZQVgbhhG6+1XG3eTmQmSxKSLXm/kIQoAm7eOPP/7444+NXYUxlZaWaje8gEZqsb87PCftu6Mh5XFEdLMAjwkBAFogBGHtnnyt/kYeghAAoAVCENZOOwg7VcQLSHUDDUcBAFoiBGHt+LZOfGt7btpcXelXmZZbQRnlyEIAgJYGQVgnodbbhMFVbxMarxoAANAPBGGdanlMiLujAAAtDoKwTtpBiP5lAABaKgRhnURegfRo0Kh2lcliVo4gBABoeRCEdeJZWAnsXblpAatsV5GUUMKWKIxbFAAA6BiCsD417o6yRLdwUQgA0LIgCOsj1G4vU4H2MgAALRCCsD6PDUPBdbSGIAQAaFkQhPURufsTj89N+8rTrVVS9DgKANDCIAjrw4jMhC4eVdMs26ki4U4BK1cbtygAANAlBGEDRJ6PDdIrV9P9IlwUAgC0HAjCBjzWv0w52ssAALQ0CMIGaDccDZGhfxkAgJYGQdgAYes2jFDETbdW5DkrCxCEAAAtCYKwAQxfIGzto5kNlsXfzGeRhAAALQaCsGGPvU0oiyuSU3IpohAAoIVAEDZM5IHxmAAAWiwEYcNq9DjKsCweEwIAtBgIwoYJnN155pbctK2q1EORfbPAuBUBAIDOIAgbgWGE7n6auWBZ3I08XBECALQQCMJGeezuqCwutYzNqzBiOQAAoDMIwkZ5rH8ZWRwRRaP3bQCAFgFB2CjaQRgkixOQCu1lAABaBgRho/DtnPnW9ty0ubrStyINQQgA0DIINFOlpaXZ2dkNbuDn59fgOi2S0MNfdfcfbjpEFnsj39uo5QAAgG5UB+GePXumTJnS4AasqfYvJvIMqHgUhMGyuD1Fg8qVZCGofyMAAGjqqn+Qh4WF7dmzx4ilNHHaAxOGyOJULN0tZLs7MUYsCQAAnl91EHp5eXl5eRmxlCZO5BVIDEMsS0TtKh6KWfnNfD6CEACguUNjmcbiWVgJ7F24aQGrbFeRdBNvUAAANH91PuOKi4vbu3dvYmJiUVGR9vJdu3bpv6omSuQZqMzP4qaDy+Nu5LU1bj0AAPD8ag/CI0eOjBw50tzcnMfjmZmZ8Xi89PR0S0vLwMDAWtevlVwu379//7179xQKRZs2bUaOHGlra1v/JizLnjp16uLFiyqVqnv37sOHD+fz+U/xbfRM6BlAN85z08GyuN0FrJolHm6OAgA0Z7XfGv3oo4/CwsIyMzOHDx8+ZcqUtLS069evu7u7T548uZH7vXXrVmBg4NixYzdu3Lh9+/bp06f7+PgcOHCgnk1UKtWYMWMGDx68efPm33777Y033hg4cGB5eflTfye9qdG/TJmS4kpwdxQAoHmrJQhlMtmDBw+WLFkiFouJSKFQEFHnzp03b968cOHCsrKyxux3+vTpKSkpe/bsycjISEpKunbtGsuykyZNqifYvv322z179ixZsiQ9PT0lJeWHH344f/78J5988qxfTfdEHv7Eq7pC9ZOnWaukeK0eAKC5qyUIS0tL1Wq1s7MzEdnZ2RUUVI051KVLl7KystjY2AZ3qlQqIyIievbsOXLkSM2248ePLyoqiomJqXUTlmXXrVvn6uq6YsUKHo9HRLNmzerateumTZsaGb0GwIjEQhePqmmW7ShLRBACADR3tQSho6Ojubl5amoqEfn4+Jw7d04ulxNRREQEEdnY2DS4U4FAYGdnV1lZqb2Q2wmXr0+KiYlJT08fNmyY9kPB1157rby8/NKlS0/xhfTssWEoKmIxVD0AQHNXSxDyeLwXX3zx0KFDRDR+/Pjs7Ozu3buPHz9++PDh3bp18/b2bsx+58+ff/369e+++06hULAse+TIke3bt48ZM8bT07PW9e/fv09EAQEB2gu5tjncR02EUPsxYXkcghAAoLmrvdXoTz/9VFJSQkT29vbHjx9ftWrVnTt3RowY8eWXX3L3LRu0ZMkSV1fXuXPnLliwgM/ny+XyRYsWLVu2rK71uRuwDg4O2gu5Wc292SepVKo9e/aYmZlxs23atOnatWtjyntmAnd/zXSwLC5HRmmlqlYWej2mjqlUKpVKZewqWgKcSV3BmdQVnMkn8Xg8hmmgcX/tQejm5ubm5sZNh4aG1t/as1bnzp1btGiRo6PjyJEjRSLRyZMn165d6+XlNX369FrXV6vVRCQUCrUXcrNKpbKuo6hUqr179woEVd+ib9++HTt2fNpSnwpr34oRiliFnIjcFLnOyoLIbJuXW6v1elDdksvlNe5aw7PBmdQVnEldwZl8kkgk0mREXfTSaXRxcfHo0aOdnJwiIyMlEgkRffHFFyNHjpw5c2avXr2CgoKe3MTKyoqeuPjLz88nImtr67oOJBKJduzYYWFh0CuystY+8uSqu7VBsvgYae/XLZpTBz0qlcrAZ6ylwpnUFZxJXcGZfDa1B+G0adOKi4tr/agxPctcvXo1Pz9/7ty5XAoSEY/Hmzp16v79+48dO1ZrELZp04aI0tPTtRdysz4+Pg0e0ZBEngGaIAyWxd/M72XcegAA4HnUHoTJycnaF2dlZWUJCQlmZmaN7FmGayBa41Y1N8t99KSQkBCJRHLixIlVq1ZpFp44cYJhmD59+jTmoAYjery9zEH0OAoA0JzVfk/v5MmTkVru3buXkJDQoUOHxgxYSETdunUTCAS//vqrpp9ShULx448/ElGvXlXXT1FRUbNmzTp27Bg3a25uPm7cuFu3bp06dYpbwk0PHjxY87SyiRA+/gZFQpG6RGHEcgAA4Lk09uGWh4fHunXrFixYUFpa2uDKrVq1WrJkSWJiYtu2badNm/b+++936tTpxIkTr7/++ksvvcStExcXt379+sjISM1WX375pZeX12uvvTZlypR33323f//+Eonkv//97zN8K70SOnvwzC25aTtliZsi5xZeogAAaLaeopWHt7e3TCaLj49vzMrLly8/ePBgWFhYdHT0pUuX2rdvv2nTpj179miasfr4+EyaNCkkJESziYuLS0RExLRp027cuPH333+PGjUqMjKyxpuFTQLDCN19NXMhsjiMxwQA0Hw9RavR7du3E5G7u3sj1w8PDw8PD6/r0x49evTo0aPGQmdn5yZ4CfgkkWdAZVw0Nx1cEXczv59x6wEAgGfWqFajCoUiLi7u7t27b7zxhpOTk6Fqa7oe62itPPYYbo0CADRbjWo1KhKJOnTo8MEHH7z11luGKqxJE3lWt57tJIu/V6BSqAXC5vQyIQAAVKk9CE+ePGngOpoXvp0z39pOVVJIRBbqCo/y1HtFvkH2GKIXAKD5wVXMMxJ6PDZIL8ZjAgBopqqvCB8+fHjt2rUGNxg9erQ+62k2RJ4BFXf/4aZDZHE3819+y7/+LQAAoCmqDsJz58415n15lsWlD1GN/mVkcWtwRQgA0DxV3xodNWpUwiOHDh1ycnKaM2fO+fPnY2NjL1269Mknnzg6Ov72229GrLVJ0W4v064i6W6eHEkIANAcVV8RWllZcUNAENGYMWMWLlw4f/58btbf3z80NLRDhw4fffTR2LFjGxzSwhTwJNYCB1dlfhYRCVll65Kk5NL23lZoLwMA0MzU0lgmPz8/Kipq6NChNZYPGzYsPT09JibGIIU1A8LH746ifxkAgOaoliDkxvO9c+dOjeW3b98mIlwOaojQcBQAoPmrJQjt7OzCwsJmzpy5a9cubtQkpVJ57NixCRMmtG/fvl27dgYvsonSfkwYUh57M9+ItQAAwDOq/T3CX375xcvLa+zYsebm5k5OTubm5kOGDBEIBPv27dP0mg0iDz+WV3UCfSvTHuSUGbceAAB4BrXf53Rzc/vnn3+OHz8eHR2dlpbm6uraqVOnoUOHikQiA9fXlDFm5kJnD2VWMhHxiLXPjcur6OooNnZZAADwNOp84Mfn84cOHfpkkxnQZuYVyAUhEQXL4m4VdAlrjStmAIDmBF2sPZeaDUfRXgYAoLmpDsLffvvN0tLym2++ISIfHx/LOhiv1Kbosf5lKmIRhAAAzU71rVFuoCVusNwZM2ZIpVLjVdVsCFv7sHwho1IQkbs8NymzgAjjNQIANCfVQdi5c+fOnTtz0wsXLjRSPc0MwxcIWvuoUh9wsxY5cRUqJzHfuEUBAMBTaNQzQpVKlZ6erlar9V1Nc2TuVX13tGNZ/J1C3B0FAGhOag/CFStWbNy4kZu+d++ej4+Pu7u7h4dHZGSkAWtrHh4fhiL2Rh6CEACgOaklCNVq9Zo1a5ydnbnZ+fPnq1SqDRs2BAYGTp06FcMw1SB8vH+ZaPQ4CgDQrNTyHmFhYWFpaSnXlVpJScmZM2fWrVs3Y8aMl156yc/PLz093d3d3eB1Nl1CFw+1yIInLycie1VJWnoWkZuxiwIAgMaq/YqQHnWuffbsWblcPnjwYCLy8PAgoqysLMNW2OQxDM/NTzMnTItV45oQAKD5qCUIHR0dbWxsjh49SkS//vqrv7+/j48PEWVkZBCRnZ2dgUts+qx8qu+Oti2Piy9BEgIANBu1BCHDMPPmzfvwww89PDz27dv33nvvccv/+usvKysrT09Pw1bYDDzWXqY89gZeqwcAaD5q72t02bJlbdu2jYyM7Nat29ixY7mFWVlZH3zwgVAoNGB5zYPIo/qKsJMs4dc81Vgf9F0HANA81Nnp9rhx48aNG6e9ZNGiRfqvp1ni2zsrLOyE5YVEJFHLMlNSqYePsYsCAIBGqTMIKysrDx8+fPfu3bKysq+//pqIIiIirK2t27Zta8Dymg3GzZ/iIqqm02OJEIQAAM1D7XfwUlJSgoODR40a9c0332zfvp1buHfv3kmTJhmutGbF1qf6MaFPcWyWzIi1AADAU6g9CKdNm8YwzJ07dw4cOKBZOGrUqIiIiKKiIkPV1pyIvbReq5fFoX8ZAIDmopYglEqlp0+f/vbbbzt06MAw1cPM+vn5sSybmppqwPKaDZFWELarSLqVKzdiMQAA0Hi1BGFJSYlarX7yNQm5XE5ESqXSEHU1NzyJtczKhZsWssrch0nGrQcAABqpliB0cnKysrK6fPlyjeXHjx8XCoV+fn5PbgJExLpXPybkpT8wYiUAANB4tbQaFQqFb7311uLFi52dnbkh6RUKxYEDB+bPnz9u3DgrKyuDF9k8OPoGlt+7yE23LogtVZAVXrkEAGjyan99YtWqVfHx8a+99hrX46i1tXVFRUXPnj3/+9//Gra85kTiHVj+aDpYFnurgA11YerbAAAAmoDag9DCwuLYsWMnT548efJkZmamg4NDv3793njjDT4fg6/XSeThp2Z4PFZNRL4Vaccyy0JdLI1dFAAANKCWIMzPzx88ePDq1asHDx7MjTsBjcGYmZfaeNgUJRMRj9i8xHgKCTF2UQAA0IBagpBhmKioKLFY/Dz7jYuLKykpeXK5o6Ojl5dXrZsUFxfHx8fXWOjk5NScuvl2D6Ci5Krp9FgiBCEAQFNXSxDa29t37tz54sWLvXv3fub9zp49+8SJE08unzt37rp162rd5MKFC8OHD6+x8L333vv++++fuQwDc/ANVN45xU075T9QqEmIzrcBAJq22p8Rrlu37l//+hefzw8PD3dyctL+qJHjEf7nP/9ZsGBBjSVnz54dPXp0/RuuWLFCO4Dd3d0bc7gmwt43IOfRdFB57P0itpM92ssAADRptQfhmDFjsrOzFyxYUCPMiIhlG9V5WOfOnbVnZTLZ9evXAwIC+vTpU/+GwcHBL730UmMO0QQJ3XyUPKFArSAid3nu3+mFneztjV0UAADUp/YgXL16tUymy36jd+3aVVRUtGTJEu0+21oehi8otPN2yo/jZnPjY6lTL+OWBAAA9as9CCdOnKjbw2zdulUgEEyYMKHBNVetWrVs2TKBQBAcHDxz5swuXbrothJ9U7sF0qMgpLRYIgQhAECTZoi2HImJiRcvXhw2bFirVq3qX9PCwkIgEPj5+fH5/K1bt/bs2XPr1q31rK9Wq8+dO3f6kaQk4/fw6eBb3dGaQ14sBqEAAGji6hyYV4c2b97MsuyUKVPqXy00NDQnJ0cikXCzkZGRgwcPnjVr1ssvv1xXkxmlUrlq1SrNa/69e/detGiRDit/BjbuHmWPptuXxd3LlnpYNK00lEqlxi6hhcCZ1BWcSV3BmXySWCwWChvo7pJpZOOXZ6ZUKr28vFQqVWpqaoPV1PDtt99++OGHP/7448yZM2tdQSKR5ObmWlhY6KJSHWHZuI9Gmiurelu7/c7Pr3Zq4DrYwEpLS9FhrE7gTOoKzqSu4Ew+G73fGj1+/HhGRsakSZOeNgWJKCgoiIjS09P1UJfeMEyeva9mLjc+1oi1AABAg/QehNxDvkmTJj3DtgkJCUTk4OCg25L0TeVW/ZiQTUUQAgA0afoNwpycnMOHD/ft27dt27ZPfrpq1ar169drZuPi4rQ/zcjI+PLLL3k83quvvqrXInXO3qd6tHr7PAQhAECTpt/GMtu2bVMoFHU1k1m6dKmbm5vm+V94eLi5uXnnzp1dXFxSU1MPHDgglUqXLl1aa4g2ZW3aBeY/mg6QxhfI1Pbm6GkNAKCJ0m8QJicnDx48uK5u1QYOHOjo6KiZnT59+uHDh0+ePFlUVCSRSPr16zdz5sxhw4bptUJ9MHd0KRLa2iqKiEiilt2LTw3tVHs/4wAAYHR6bzWqV02x1SgREZ396tOArEhuOqLfh2+88bJx69GGdmW6gjOpKziTuoIz+Wxwy04vlK2rHxOyaQ+MWAkAANQPQagXdlrtZexy0V4GAKDpQhDqRUCH6iBsI02SVSqMWAwAANQDQagXNnY2WWbO3LSQVcY9SDRuPQAAUBcEob5k2le/Vp8Vh7ujAABNFIJQX7Tby6hT0V4GAKCJQhDqi62vf/U02ssAADRVCEJ98WsXoGKqTm/rslSlrNy49QAAQK0QhPriYWeRLHbjpnnEJsfGG7ceAACoFYJQjzLsqx8TZsbhMSEAQFOEINQjRavqx4TKFAQhAEBThCDUI5s26F8GAKCpQxDqkW+gr5wRctMOshy1tMi49QAAwJMQhHrU1kH4wNxbM5sdH1f3ugAAYBwIQj3iM5RuV/2YMDP2vhGLAQCAWiEI9Uuu1b+MIgWPCQEAmhwEoX5Zt6nucdQG7WUAAJoeBKF++fp6SfkW3LRlZbGqIMe49QAAQA0IQv0KduDdNffRzJY8xNuEAABNC4JQvywElGJbfXc0MxZ3RwEAmhYEod5VulYHF9L36wAAIABJREFUoTwZDUcBAJoWBKHeWWr1L2OVG08sa8RiAACgBgSh3vl7uebxbblpM6VMkZ1q3HoAAEAbglDvOjswtyz8NLMVyWgvAwDQhCAI9c7ZnBKtqx8T5sajvQwAQBOCIDSECq3xmCqTEYQAAE0IgtAQrLyr28tI8hJYpcKIxQAAgDYEoSEEutmmiZy4aZ5aqchMMm49AACggSA0hBAHJlqs9TYhet8GAGgyEISG4GvNPLCsfkxYlIAgBABoKhCEhsAQlWv1L4M3KAAAmg4EoYFYtglQE8NNmxWksJUy49YDAAAcBKGBtHexSDBz56YZlpWnxhu3HgAA4CAIDSTEnrlpod1eBndHAQCaBAShgXS0Z+5YVLeXkeK1egCApgFBaCAiHpU4V18Ron8ZAIAmAkFoONaePnJGyE0LirLU0iLj1gMAAEQk0MdOVSpVcnJyrR+1bt1aLBbXs21ubu7Vq1fVanXXrl3d3d31UZ6xdHIS3Rd7B8niuFl5apy4XXfjlgQAAHoJwpycHF9f31o/+ueff3r06FHXhmvWrPnkk0/kcjkR8Xi8Dz/8cNWqVQzD6KNIwwtxYK6Y+1cHYUosghAAwOj0EoR2dna7du3SXqJQKCZPnuzs7Ny1a9e6ttq3b99HH30UHh6+bt06MzOzpUuXrlmzxtPTc/bs2foo0vBCHJgN5v4TH81WJMdaG7McAAAg0lMQisXi0aNHay/5888/5XL5pEmT+Hx+XVstX77cyspq+/btVlZWRLRx48Zz58598cUXM2fOFAj0UqeB2YooxzGA0qtmKx7eN2o5AABAZLDGMlu3bmUYZtKkSXWtkJycfOvWrcGDB3MpSEQCgWDEiBE5OTn//POPYYo0ADsPLynPnJvmlRerCnOMWw8AABgiCLOyso4fPz5gwIC6HhwS0e3bt4moS5cu2gu5We6jliHYgXfXvPok4LV6AACjM0QQ/vzzz0qlcsqUKfWsk5OTQ0QODg7aCx0dHTUf1Ypl2aSkpMRHCgsLdVSyvoTY0+P9y+BtQgAAIzPEs7dt27bZ2NiMGDGinnW4lqIWFhbaCyUSCRFVVFTUs9XQoUM1zUrDw8NXrlypg4r1xl9Mm8XV/cuUJ93jS6UGrqGsrKzFNMQ1LpxJXcGZ1BWcySeJxeIGW5noPQgvXLhw//79WbNm1Qi5GrhPi4uLtRdyV3hcHNbKzMwsJiam/j03Ke0sKdnWn1KrZpVpCZYSCRn2Hy7LspaWloY8YkuFM6krOJO6gjP5bPR+a3TLli1EVP99USLy8PCgJ+6C5ubmEpGnp6feqjMCp1aueXxbbpqRyxQ5qfWvDwAAeqXfICwpKdmzZ0+nTp3qeX2QExwcLBAIzp8/r73wr7/+IqIGt21eQhyY2+Z+mlkFHhMCABiVfoNw586d5eXlU6dOffKjhw8fbtu2TdMi1N7e/uWXX/7777/j4qo6XsnLyzt06FBwcHD79u31WqSBhTgw0VrDUKC9DACAcek3CLds2SISicaPH//kR1evXn377bf379+vWfKf//xHJBK9/PLLGzZs2Lp1a1hYmFQq/eabb/RaoeF1dmCita4I5cl4gwIAwJj0GIQPHz7My8ubPHky9xZEDTY2Nu3atXNyctIsCQoKOn36tIuLy8yZM9955x2WZQ8ePDhw4ED9VWgUbW2Z+1aBmll5RiKrVBixHgAAE8ewLGvsGmqqqKhQq9WNaQsqkUhyc3ObUatRTo8Dyv+7NNlNkcvNOs//P5GHf/2b6FBpaamm+x54HjiTuoIzqSs4k8+mKY5HKBaLm122PZUQBybaXPsxIe6OAgAYTVMMwhYvxP6x9jJoOAoAYEQIQiPo7MjcFKOjNQCAJgFBaARB9swdib+aqjqUUWQls5Uy45YEAGCyEIRGIBFQK1uLBDP3qnmWlafFG7UiAADThSA0jifay+DuKACAcSAIjaNGEKK9DACAsSAIjaNzzY7W8AYFAIBxIAiNo7MDc1fsI2eE3KwyP0stLa5/EwAA0AcEoXE4m5ODRPhA7KVZIk+NM2I9AAAmC0FoNCEOzE30LwMAYGwIQqPpjIajAABNAILQaEIcmJvmWv3LYDwmAABjQBAaTYg9Eyf2lPLMuVm1tEhVmGPckgAATBCC0Gj8bBhLIXPX3FezBHdHAQAMD0FoNAxRJ3s8JgQAMDIEoTF1rtlwFEEIAGBoCEJjqmWEXpY1Yj0AACYIQWhMIQ5Misg1X2DDzbKVMmVOmnFLAgAwNQhCY+poxwh5dNvcT7MEr9UDABgYgtCYzPjUzhbtZQAAGqAulyrzsxRpCZVx0ZXxt1iFXIc7F+hwX/AMMDAhAJggtUyqlpWxMqlaVlZjmpWVPbmwxuZCV0/nD/+PEZnppBgEoZGFODDHxFoDE2Yksiolw8ffCwA0J2qZlJWVq6vDrJaEU8vK2IoytUyqLq8ZbE9LkZVSGR8tbt9DJ8XjB66RhTgwuUK7dKGTmyKXiFiFXJGRJPLwb3BDAGjSWFZVWqSWFqmK89SlRaqSArWsrOojHo8nttBelyeWEMNoZhmhGSMUaX1cc32mlvWFRKQuK1PKpQzDZ2rs3/yx9RtDXVHGlpdVB1tFjas07as3HQTbU+PxBc7uutoZgtDIOjswDFG0uT8XhESkSIlFEAI0fay8QlWcryotUpcUqEoK1KVFquI8lbRIVVygLi1USYtIrTZ8VaWNWIcRih4LWobHE0s0c2pZqVpW1tRe5eKJJYyFhGduyRNLeBJrSZ8hAsfWuto5gtDIbEXkZcVEW/gPKbnMLZGnxEpChxq3KgAgtVolLVKXFqqKC1TaF3YlBarSIlVxPiuvMHaJz4hVyGs0NlGXlRi4Bp7YgjG35JlLeOaWPHPJo2mJ9kKeuSVjLuGZWz3DFe1TQRAaX4g9E52FgQkBDI2tlKmK81XSIlVxvrqkUFVaqLmwU0uLVKVFTe2qqCljzMy10suSZ1Ej4Sx5YgljLuFZWPLMLXnmlnoNtqeFIDS+EAfmG3M/NTE8YolIkZ1ScT9K5OHPk1gbuzSA5kytUnHXcKWFqtJCVVG+WlqkKilQlRSqSwtUJQWsvFKvx+dJrPlWdjwrO76NPd/Slmdlyy1n1Sq2QvZYpRWP3Ypk5RWsUqH9RdSPr88+vr5aXklKBRGp1Woej8eqVWxl+WP7f/pbnY8Hm+TxSzet5U0y2J4WgtD4QhyolCdJNHPzq0wjIlKr8zZ8QkR8O2eRu6/QzVfo7idy9+XbOhm5UICmhFUq1GUl3B9VaSF337Iq9orz1dJilVS/l3SMUMSztOXbOPCtbPnWDjwrW761Pc/anm9py7d14FnaMgKh/o5eq9LSUisrqwZXY+WVNYNWKzh5YgnP3JJ4JvSWOYLQ+Do7MER00zygKggfURXmyApzZLevcLM8ibXQzVfk4Sd08xW5+wmc3Jr1r2AAdWFVykcJV6ouK1ZLi1VVs8XqslJ1WYlaWqQqK2ErZQ3v6/nwLG2qL+ms7PjW9ryqzLPjW9vzLCz1XYCeMCKzGm/g8SxtjFVMU4AgND5PS8ZRTL/bD36t+IKQVda1mrqspDL2RmXsDW6WMTMXtvbhLhlF7r6CVt54+1CDVcjV0iKexJoRiY1dC2hRq1SaeNMKucqi/Eq5rCrqpMXqivKGd6ULjFDEt7Lj2TjwLW35NlWXdHxrO56VPZd5+D9lIvDX3CQE2TNnK9qH+f/4YmnUHLuk1iUJysxkVlVnKBIRWymTJ92VJ93lZhm+QNDKS+TmJ3TzEbr7idx8GDNzg9RuTKxKqSrMVRVkKwuylPlZqoJsZX6WqiBLVVLIrcAIRTyJNU9izZPY8C2teRKbR7PWfEtu2oYnsX6sKTk8A5ZVl5WoNFdsZSVqaVHVTctHdy/VZcX1vG2mqOuD58EwfEtbnqUN34a7hrPjW9vzLG35No48Kxu+jYP2OwNgyhCETUKIA3M2g30oavU/h2FuIbwvuvFZlVKZmSxPj1ekJcjTEhQZifXfCGL/v707j26i2h8A/p3MZG/apPsGbSltochS2bdnsVQQBVEEgQPiAgqIooI+/InyFJ4P3DggCgdUOPA4BwSfKLI9QAFBkT5kk9JaWkuBbilt2jTrTHJ/f9x0iOlCKSlpm+/ncDhzl05uLqHf3Jl77zgE/lo+fy3flWYYLjRaFttVGpsoje0qi0ls35c+CHFU3xAqyxw3SlwBr7JUqCxzGCqaXqpFeLvDUOEwVDR9ekam+Gto1NAA6coJCJKoNJKAID8cHxCHQKxmGsYcDQQ5OrarufuT7wGAYbm6fymNRB1UF+RCWI1WEhjMBgb75z8ZagH8lLQJfUJu3u07e4MAAMNy0thEaWwiDHTlO6pv8Nfy7Fcv26/m8UV/OIxVTZ2REEF/XdBfhzNHaQYbGMxFxkkjOzvDOvFJPaURndvmLUanuVa4UeK4UeqovuGoqaTHfNnVVl2zRexWh93qqCpvuhojlUmUARJVAKPUsEHBDkUA0YbQHIkqQBIY0nZ++dKFYoS3OS21rkVjgp3wNqfZlSSCnfB2p9lIBJ7wNprpNNfSaoTnCW+jpT5pPyOVsYEhksBgV98qAyQqDRsYzAYFM0oNzWEDg9vmZxi1Owxpzwtl1Gq1Xq9XqVS3rtq2/V5Fen7tuhAarWKuT731b1KHQW+/ls9fu8xfz7dfy7/lL3EPEpVGGpsoi+0qjUmUxiZKw2Lv8iQxp9XkuFEmVJY6bpQKlWXCjTJHZalwo9Q7AU/CsgGBTovJu1vUN/fFVQHiNViWXokNCPLMUQd6/hJ3Op1WM+FtRLATi5k4BUKTPO+0moggEJvZFa6sJhAEp81M5/4Ri4k4BWK1EN5KBL4N7glyE8O4LlOrNeIla0lAkJ2VqUPC6rooqP1OQvG5Zs4aRR78JRBeN5ac12cLzqbuuvmQk8BLvzj4uot8ExIkndQQqQSdvLlfeInd6qjSC1V6h6HcUaW/3YnjDMux2lBWF8Zqw1ldGBsUwkjY230XDTfs5gzAm38cpmpvLeGSKNUSVaAkIJBVBzLqQJb+MlUFACMBACIIxG4hNqvTZiY2K7Fbic3idOVYiM1C7FZisxKnwyuNuS2MTCGRyomDJ04H4e1tN3o1DyNTSOQKRqaUyBWMXMnIFIxcxchppkIiVzIyJSOTNziGs1qtCgVOa/ICP+lJlVQ1MOreAJnXbvH6RSC8oL/0yqE3+bYaBRFCCN2WCHX4xodWq6XeuRzY6lfDCCG5ubm//PLL5cuXfRV0f7jyE0ZBhBDqMMpM5efKL3rrbK0bCHfu3NmlS5du3boNGTIkKSkpKiqqsLCwscq7d+9m6pk3b96dN6N7CD7MASGEOg4ZK0vUxnnrbK04vW3Tpk3PPPNM3759ly5dGh0dXVpaeuDAAUG4xchsxowZ3bt3F5P33nvvnbfkgYQRhJAL+kt3fqpWZXdCmQWqbMRgh0obMdjA3qKnuHAS0MpAJ2N0ctDJQSdjNDIQ78zwPC+Veu78ROxW9yVfxIsrmhkJI1dI5EpGrmQUKolcJVEo6T0kr72EjzTYk81FCBF44hAYiQQkLMOy9Kamf7qjnkRu/KQnOQn3QEJ6hDrcWydsrXuExcXFKSkpPXr0OHr0qFwuv/UPAOzevXvcuHHffvvtuHHjmvkqHWbWaGOqbHCximQbCP37fCUpb9GuUjIJdA1keuiYVB10UVj7Rqm6aRm28Yk4TquZL/6Tv5pnv5YnlBbxxX82vbqfkqgCuJAoNiSSC4niQiK50Cg2JJLThYOX5t20NThDz1uwJ70Fe7JlWmtE+OWXX9bW1i5btqyZURA1SCeHYZHMsMibIcsjNP5eSUqbERrtTsg2kGwDgT8BQAYgSCXQSc2k6qCHjknVMj10TA8do6gLWBKFSt6lh7xLD5okdhtf/Cdd3c9fy3fU3GADg9ngSC4kgv7NBUeywRG4PwtCqD1qrUD4ww8/SCSSgQMHbt68+dSpU1KpND09fezYsZJbLVbbtWvXgQMHJBJJnz59Jk6cGBiIjyL6i1uGxotVpKQZ1zV5JxQYSYERvi9yXRKoHxpTtYySAwBgZHJZfDdZfLdWeUsIIeRTrXVpNC4uzm63JyUlnTp1KiUlpbi4uKKi4oEHHvjuu+8aGyPSS6NKpTIsLKykpITn+fDw8F27dg0ePLixV1Gr1Xl5eUqla1NNjUbDcQ2EdofV+ce2azX5JtKiW27tDgFwOMFBwEnAQVwHLSNhgKV/JMAyIGEAd/IQEUIY3NnEG7AnvcVPelIiZSIHB3ce1ebvEYaEhFRWVnbt2vXgwYPx8fGCILzwwgvr169/55133n777QZ/pKCgoLy8fODAgQzDCIKwYcOGl156KTg4OC8vr7FxIcuy7kXjxo1bs2ZN/WplR6tLfzB45X0hhBBqC5JmRalib307RqFQ3HICUWsFwtjY2OvXr2/dunXq1Kk0x2QyRUdHR0VF5eTkNPMkf//7399///3NmzdPnz69wQrNnCxTuKfs2mF98xuPEEKojes5NyGoq3c2l2mtGdsxMTEA0Lt3bzFHrVYnJSUVFBQ0/yQZGRkAkJeXd4eNiR4eoo5p95P1EUIIAQAwEN5PG5TotS3WWmuyTN++fU+dOmU0Gt0za2pqbmupQ2VlJQCItwBbTBbIpS3o6rA62/V+ct5SW1sbENCsTY2NPOTXkCu1JMdAcgyQU03yakiLbzfeFrkEolRMhBK0ctBKmUg1RCgYrQy0cohUMpEqCFM0tfzj7mh+T6KmYU96i5/0pIRjJFJvjuJaKxBOmjRp7dq1X3/99aBBg2jOuXPn8vPzR48eLdY5cuSIXC4X58J4LAUVBGH16tUAMHz4cK80iVX474Jld6wg4ZTNWtinU0K/QOjnllPLwyUDya8h5VaosBK9FcosoLeSCivoLeSGd7bRBgAwAlSY4ULD018JALAMCVNAqIIJU0CEihGPI5UQqmBCFRCmYAJlIGvNf/Pm9yRqGvakt2BPtkxrBcL09PRHHnlk5cqVHMeNHj36ypUrixcvZlnWfabM6NGjY2Ji8vNdz5IdOnRoWlpa3759IyIiioqKNmzYcOHChfHjxw8bNqyVGoluV4AU+ocx/cMaHYtV2aDYTKpsUGUnJea6YxuUWEixCarspNwCDm+MKR0ESi1QaqHnauqMChZ0clCyjOuAAwULOhnjOpD/5dijWriC4fDrE0IdXSs+faK2tnb+/Plbt2612WwA0L17908++YTe9qPCw8Ojo6PPnj1LkzNmzPjmm2/Eq6khISGzZ89evHhxE08V6fA7y7QG3+49wTuhwgp6Kym3QDkdStLjupFluZVUeW9keecCpaDkQM0xWjmoOFCyoJUxaimoOJATe6haruRAzYFWBiqOUXKglYGaAxUHGikTKAOfX79tF3A/FG/BnmyZVn8MU21tbWFhoVarjY2NvWVlQRDKysoqKip0Ol2nTp1uuSAGA2ELtP3/KrzTFRTpdVe9BSpspMwC5RaocOUTgw8euNsSMgmopaCVMa4gKgc1x6g40EghUAoKDgI4JkAKChYCZaDmGAULQTJQcaBgQStjFCwoff+4+1bX9j+T7QX2ZMv4xfMIkbuO8V/F7nS7SWlxjSzLLKC3uoJohZUYeeA7xBYKWhkoWFBxTJAMFCyopaCRMgoWNFJwBVEp44qdbld3aRDVyhg5C+q2HU07xmeyLcCebJm2/f8DoUbIJBCtYqJdX4EavXIgOMHIQw1PzAKYBTDYwSwQswDVdqjlweIAI09q7FBX6qpWbYdagVgEMPJ36/00qW746/6d9ba/v4oDUI0UFBxopI0OQOvHXZ2MCZCCV6fpIdSGYCBEHRknAZ0cdHL3SHl7d+0sAlgdYHGQKhtYHWARoMpO6EFpjc3MyFyZtgaq0eM2ooaHGh7K7yyaitOL3Kcd0ad9iSNRj+MQOSPHaYyobcNAiFBTlBwoOdCBOPoEMZQajYJGc4tFrjaH51jTJBCzQMepYOLB4iDVdrA6wMRDDU+sDqjlwciDzQE1PDHxLXwmZSuxOqDEDCXm24umKg4CpKCRMloZaKSgkTL0oq5ODhopE8CB1MmGaZx03EmLAqWMVo4b26K7BAMhQq1IzoKcvaMhqZNAtR3MArE6wGB3DTcNdmJ1uCKr1QEmgRh5sApg5KFWIFYBangwCWBzgMFO6KDWh+iXgHKLGDLrx04pQANNVHOgkYJGxgRKIUgGGqkrUgbJIEjGBHCuqKmVMYEyCFdAuJJR4a80dPvwU4NQmyZh6l/dhduNpgA3L94abGBzeg5ArQ4w8sTEg9Xxl7hrEcDiAIOdGHkQ7vrY1CSASRBXi0JzRp9qDiJVTIQSwhRMpBIilBCmpAdMmAIilIwOH5CK6sFAiJBfqAsADNycVHjbt0vpiLPKBkaeRlBi5KHKBrUCoTk1djDYCQ2udJpStb3lTwFrAZMA+TUkvwYai5oyCYQrmQgaIxVMhBIiVa4YGamEMCUTpsDVn34HAyFCqFno7dLw2w+l7hOO3GcV0R2IrA6oNttNRCZOL6JTjSqsrbL6xe6EayZyzURTDQdLBQvRKiZKBTp53YGMiVZDlJLRyaFTABN4i6f6oHYGAyFCqHU1MeGIamzakfu402AHI+8aa7qPO2sFqLaTKptr+wWbN+6GWh1QYCQFrk2uGgiWgVKIUjFhSghXMFEqCFMw4UqgB2EKiFIxGoyU7QoGQoRQG6WRgkYKUTej5q0HoAY7lJqJ3grlFlJiAb2FlFuh1AzlVlJugVILqfXG2tAaHmqqSW41NDamVHIQ5oqRN4NlmNK1FjNIxtA1mTK3vQ40UqAb23IMaKSud4rLN+8ODIQIoY5DKwOtjOkG0FjUtAhQbiUlZtcmt64DK5SYiZ5u6Wf1QjMsAhTVkqJamvLCPVKWgcC6h7GrOYY+VoVhQFuXSZd1OhwylhV0Mtd7d9+iTysDumelTAJqzlVB3A5XKoEAad0LSV1bKwRKQSqBIBkjZ6FjT8ft0G8OIYT+SslBXAATFwCNRUrBCeVWoreCW7AkdOu+YpNrD7+7v3Wfg4C4GX2VrYnIKgEgXgm99WmkIJW4Nu2ja0OlEtDJGDquVXMgY0EnY2hMVXEgZ0ErY6QS0NQlg2SMVAJt8A4rBkKEELqJq9u9r3cwNBYs6WNS9BYoMZNyK+itpNTsuklZaoFyCzELd7fRdwXdcbDSMwy3JOjS8WuglJGxECh1jVw1UkYmgSAZ0ECrkTJSCWjrkgEcI5WATg4yCYQoIFrlzam9GAgRQuj2hCogVMGAFhqLlLU8lFpIeV1opFvD662ulSQGu+tZB3TjIUpcZ2J3gklwRRefLN+8CywC3Ziw5TH14c7MrkzOWwtdMBAihJCXBUihq5TpGggt2PqgQXT7eKpWcF2bdTihpi7TLIDNAWazWalSGeyuiOK+qZB4ZZUuX6HHf4m+PAAA74RawbW3n8EOdgfUCoSevE35voj8UEwyY7zTvRgIEUKoraPbx1P1thm6yWh0ajSMt6Kvh2o72J1g5F2b9lXbgXdCTV2yhgfeCdV1W9IbebA7odpO6Ki31hVZid0BJi9dNw5t9JHttw0DIUIIoVsLkgEAhCnudLc/AKjlgXdClZ3wTqjlwSSA3QEGO7E7oZZ3jW6r7cTuBCMPdXGX8E6o4V1j3Oe6SdJCvBbvMRAihBC6q+hSjTvfQddbcK0mQgghv4aB0L8YjcbXX3/d163oCKqrqxctWuTrVnQEBoPhjTfe8HUrOoLKyso333zT161olzAQ+pfKyso9e/b4uhUdwY0bN/bu3evrVnQEFRUV+/bt83UrOgK9Xr9//35ft6JdwkCIEELIr2EgRAgh5NcwECKEEPJvpD1TKLy3ohIhhFCHs2DBgluGEoaQVtmnHCGEEGoX8NIoQgghv4aBECGEkF/DQIgQQsivYSBECCHk1zAQIoQQ8msYCBFCCPk1fAxTx2Qymc6cOXP27FmTyTR8+PAhQ4bUr3Pp0qXPP/88Pz8/JCRk4sSJo0ePvvvtbOMIISdPnty3b19+fr7T6ezateuECRP69OnjUc1oNK5bt+7XX39lWXb48OEzZ87EFa4eqqur9+3bl5WVVVxcbLPZ4uPjMzIyHnroIY9qBoNh3bp1WVlZUqn0vvvue/bZZ2UymU8a3F7s2LGjoKCge/fu48aNc893OBybN28+dOiQ2Wy+9957Z8+eHRYW5qtGtgOtvugd3XU7duxgWVb8J166dGn9Ovv371coFDqd7uGHH+7atSsAvPHGG3e/qW3c3LlzAYBl2aSkpF69enEcJ5FIPvroI/c65eXlycnJLMvef//9w4YNYximf//+tbW1vmpz27R7924A0Ol0vXr1SktLU6vVADBp0iSHwyHWKS4uTkhI4Dhu5MiRQ4YMYRhm6NChZrPZh81u43777TepVAoAkydPds+32+30e22/fv1GjRoll8ujoqLy8/N91c62DwNhB3T48OH58+dv3rx5w4YNDQbC2trayMjIuLi40tJSQoggCI899hgAnDhxwgfNbcPee++9Tz/9VIxqOTk5sbGxLMvm5uaKdaZPn84wzJ49e2hy06ZNAPD666/7oLlt2LVr186cOeN0OmmysrJy5MiRAPD111+LdR5//HGJRHLo0CGaXLt2LQAsWbLk7re2XbDZbPfccw8dVXsEwpUrVwLAsmXLaDIrK0sul2dkZPiime0DBsKO7Mcff2wwEG7evBkA3Ec2Fy9eBIBp06bd3Qa2P6tXrwaAtWvX0mRVVZVUKh02bJh7neTkZK1Wa7PZfNHAduPAgQMA8NZbb9FkaWmpRCLJzMx0rxMfHx8RESEIgi8a2Na99dZbERER2dnZ9QNhcnJyUFCQ+ydw8uTJAJCTk3PXm9k+4GQZf3T06FEAGDNmjJiTmpqakJBw5MgRn7WpnQgMDAQAicT1H+f48eM8z3vc63ou/aAiAAAP+klEQVTooYcMBsP58+d90L72o7S0FAC6dOlCk8eOHXM6nR49OXr06LKyspycHB+0r207f/788uXLV69eHRwc7FFUXFz8xx9/ZGZmut9effjhhwEA/4M3BgOhP8rLywOAuLg498z4+Pjr169bLBYfNaodcDqdmzZtkslkmZmZNOfy5cvQUE9CXScjd2VlZadPn/7ll1/Wrl27YMGCQYMGTZkyhRbR7qJdJ8KebJAgCM8880xmZuakSZPql9LPZIM9SYtQfThr1B9VV1erVCqlUumeGRISQgipqanxyEeiDz744MiRI2+//XZCQgLNqa6uBoCQkBD3aqGhoWIRcrd169YFCxbQ44yMjG3btsnlcprEnmy+FStW/PHHH998802DpQ32JE1iTzYGAyFyIYSIf6P6du7cuXjx4oyMjP/7v/8TMxvsNOzJxjz++OO9evWqqanJyspas2bNkCFDfvzxx5iYGLEC9uQt5eTkLFu27MMPP+zUqVODFfAz2QIYCP1RUFCQ2Wy2WCzug7+qqiqGYYKCgnzYsDZr9+7dU6dOHTBgwK5du8RBDABotVoAqKysdK9Mk7QIuevcuXPnzp0B4LHHHktPTx89evTSpUvXrVsHAPSDhz15S7NmzerevfvkyZOrqqqgbpBnt9urqqoUCoVSqcTPZAvgPUJ/lJSUBABXrlxxzywsLIyOjsbrovUdOHBg4sSJaWlpe/fuDQgIcC+iSzA9evLPP/8Ui1BjHnjggYCAgKysLJqkn8nCwkL3OtiT9f3+++9nzpwJDQ0NDg4ODg5OSUkBgP/85z/BwcErVqyARj6TtGOxJxuDI0J/lJ6e/sUXX+zdu7dbt240Jzs7u6CgYPr06b5tWBt06NChRx99tFu3bvv27as/XB42bJhMJtu7d++iRYvEzD179mi12vob0CB3lZWVJpNJo9HQ5H333cey7N69e+fPny/W2b9/f0RERGpqqo/a2BatXLnSbreLyZqamtdee61///4zZ87s27cvAERHR6ekpPz3v/+12+3ixNE9e/YAQHp6ui+a3B74Ys0GuksaW0doNBojIiLcF9RPmDABAI4fP+6LZrZdP/30U0BAQM+ePfV6fWN1pk2bVn9B/cKFC+9WG9uHr7/++vLly2KytLSUTuhftWqVmDlhwgSWZQ8fPkyTdEG9uNAQNYiuQvFYR/jxxx8DwD//+U+azMrKUigUI0aM8EUD2wcMhB1QUVFRg196tm7dKtbZu3cv3WJt7Nix9ILJokWLfNjmton+sq7PfTu6srKy+lusGY1GHza7DRo/frxEIomOjh40aFBqaiodqUydOpXnebHO9evXcYu129VgILTb7aNGjYK/brHm/kUEeWAIziPqcIxG42effVY/f+zYse5Xmeim23l5eWFhYbjpdoN27tyZn59fP3/QoEH33XefmKSbbp88eZJl2b/97W+46XZ9V65c2b9//+nTp0tLS7VabVxc3KhRo4YNG+ZRjW66ferUKalUmp6ejptu35LJZFqzZk1jm24fPHjQZDL169cPN91uGgZChBBCfg1njSKEEPJrGAgRQgj5NQyECCGE/BoGQoQQQn4NAyFCCCG/hoEQIYSQX8NAiBBCyK9hIESoua5cuXLu3Dlft8KT0Wg8depUbW1tcyrn5ubm5uY288xWq/X06dMGg+EOWodQO4CBEKHmWrFixSOPPOLrVng6c+bMwIEDL1y40JzK8+bNe+GFF5p55sLCwn79+h09evQOWodQO4CBEKH2LSIiYurUqbiBFkItho9hQqh9S0lJ2bp1q69bgVA7hiNC5F/Gjh27cePGzz77LDU1NSQkJCMj4/Tp0+4Vjh49OnLkyLCwsOjo6ClTpjS46bYgCI8++uiqVavcM4uLizMzM3fv3g0A27Zty8zMLCkpmTJlSmRkZEpKymuvvcbzvFjZaDQuXLgwMTExODi4b9++69evF4sKCwszMzOPHTu2ePHihISEqKioWbNmWSwWvV4/ffr06Ojobt26ub/0+fPn77///uzsbJo8dOjQpEmTkpOTw8LC+vfvv2TJEvfH1zWtpqZmzpw50dHRMTExM2fOpM9Ad/frr7+OHTs2MjIyPDx87Nix58+fdy9dv359ampqaGjo3/72t59++unFF1989913xVZlZmbm5ubOnDkzNjZ28ODBNH/jxo2DBg0KCQmJi4ubN2+ex/3ILVu2DB48OCQkpHPnzrNnz/Z46jpCXuPrx18gdFep1erExMTu3btv3Lhx48aNqampgYGBeXl5tPTgwYMcxw0aNGjTpk1r1qyJjY0NCwu7evUqLZ0zZ05cXBw9fu6550JDQ61Wq3jmpUuXymSysrIyQsh7770HAL169Zo/f/6WLVvmzJnDMMwHH3xAa/I8P3z4cLlcvmTJkm3btk2dOhUAlixZQkvp3b5u3bqNGzdu06ZNb775JsdxM2fOTEtLe/HFFzdv3jxt2jQA2LVrF61P7+H9/PPPNPnKK6/MnTt348aNO3fufP311xUKxcyZM8VGjhw5MiMjo8GecTqdGRkZCoVi2bJlO3bsmDp1Kn0+l/hCBw8elMlkGRkZmzZt2rJly5AhQwIDA3Nzc2kpfXzg5MmTd+zY8dFHH0VHR0dHR0+YMIGWbt68GQBSUlKeeOKJ9evXr127lhCyaNEijuPmzp27ffv2VatWRUZGDhgwwG630x9ZsmQJy7LPP//8tm3bPvnkk5iYmLS0NPcOR8hbMBAi/6JWq1UqFX0iMSGkrKxMrVY/9dRTNJmWlhYfHy8+Ay83N5fjuDlz5tCkeyA8e/YsAGzfvp0mHQ5HfHz8E088QZM0EK5cuVJ83dGjR99zzz30ePv27QDw5ZdfiqWTJk0SgygNhJmZmWLpjBkzAODdd9+lSafTmZSUJMYYj0Do4cMPP+Q4zmQy0WQTgfDAgQMA8Pnnn4s5Y8eOFQOhw+Ho2rXriBEjnE4nLbVYLAkJCbTreJ4PCwt78MEHxZ/du3cvAHgEQveQfOnSJYZh3n//fTHn9OnTDMN89dVXhJDLly9LJBL3Z0pfuHCBZdktW7Y02HiE7gReGkV+Z8yYMREREfQ4PDz8oYce+vnnnwHAYrGcO3fuySefVCqVtDQ5OTk9PZ1GCA+9e/cePHjwhg0baPLAgQOFhYXPPfece50pU6aIx/369SssLKTHv/76q1KpnD59ulj63HPP2e32I0eOiDlPPPGEeNynTx8AmDhxIk0yDNO7d2/xbPXp9fpvvvlm9erVK1asuHz5siAIBQUFTXYJAMDJkyc5jnNv1TPPPCMeZ2dnX758eeLEiQaDoaqqqqqqymKxpKen//bbbwBQWFio1+vpUJV68MEHQ0NDPV7iqaeeEo+/++47Qsj48eOr6iQkJMTGxtITfv/9906n89FHHxVLY2Ji4uPjaSlC3oWTZZDfiYuL80h+++23AHDlyhWn0+lRmpCQcOLEiQbPM2fOnBkzZuTl5SUlJW3YsCExMXHEiBHuFcRwCwAqlcpsNtPjP//8MzY2luNu/u9LSEgAgJKSEjEnPDxcPKaB2f1sSqXSYrE02KpVq1a98cYbOp0uJSVFp9NVV1cDgF6vb7CyuytXrkRGRro/CNe9K4qKigBg7ty5c+fOdf8prVYLAFevXgWA6Oho96KYmBiPl4iNjRWP6Y8kJyd71KEvRP++5557GixFyLswECK/U1NT45Gkv81Zlm2wVKVSNXieSZMmLViw4Isvvnj55Ze///779957j2GY5jSAZVmPV6HhShyJtlhlZeXChQtffvnl999/nzbmwIEDhw8fbs7ParVa2gyPVlEKhQIA/v3vf48ZM8a9Dn0Vunjjxo0b7kUVFRX0LqOI9rB4QpZli4qKPN41jcRKpZJhmMLCQo1G414qlUqb814Qui14aRT5HXo7jR4TQk6cONGtWzcA6NKlS1BQ0LFjx8SaPM+fOHEiLS2twfPI5fKnnnrqiy+++OyzzxiGefLJJ5vZgD59+pSXl+fk5Ig59D5fYy/UfDk5OYIgjBs3TgzJ7m+nacnJyUaj0X1hvvtQOC0tTSqVHj9+XPdX9DtEYmKiSqXav3+/WP/cuXPFxcVNvNyAAQMcDsfp06c9TqhWq2kpISQrK8ujNCAgoNmdgVBzYSBEfufSpUvLly+nN8lXrFjx+++/P/vsswBA5yh+++23W7ZsAQCe5xcuXHjt2jWPi4Hunn/++crKyuXLl0+YMMH9YmbTnnzySZVKJa4H+N///vevf/1rwIAB/fv3v8O3FhcXJ5FItm/f7nA4AGD//v2ffvppM392woQJWq1WXMOQlZW1evVqsVSn082ZM2fDhg3r1q1zOp1Q9x1ix44dAKBUKmfPnr1p06aPP/64qKjop59+mjZtmsdgzsP48eNTU1PnzZsnhlur1bpt27YzZ84AwJgxY3r37v3SSy+J+9rYbLavvvoqKyvrdvsEoVvz2TQdhHxBrVbPmjWre/fuOp0uODgYAObOnes+E/Lxxx8HgODgYLVazXHcP/7xD/Fn3WeNikaNGgUAR44ccc+ks0Y9ciQSiZjcvXu3TqfjOC4qKgoAevbsWVBQQIvomIzOJaHWrVsHAJWVlWLO9OnTU1NT6bHHrNElS5YwDBMaGhoZGanT6T788EMA+OGHH2hpE7NGCSHff/+9RqORSqWdO3dWKpXLly8Ht+UTNptt9uzZLMvK5fL4+Hi5XM6y7DvvvCOWzpo1i974DAwM/PTTT3v37v3000/TUjprVFyIQl25coUuKNTpdDExMRKJRKPRHD16lJZevXp1+PDhAKDVamlpQEDAwYMHG2s8Qi3GkLprRAj5g4CAgFdeeWXx4sU//vhjaWlpnz596JxMdxcuXDhz5oxMJhs6dGinTp3E/JKSEqPR6DG/45FHHsnNzaWLAcTM0tLS69ev9+3bt4mcmpqaY8eOlZeXJyYmDh06VJw7Y7FYsrOzu3btGhQURHP0en1RUVGfPn3Ee2yFhYUmk6lHjx4AYDabCwoKEhMTxZtt2dnZp0+f1mg0I0aM4DguJycnOTmZjs/oXNP4+PjG+kev1x8+fJgQMmLECK1We/HixcTERHr9k7p27drJkydra2sjIyP79evnMTXUYDBUVFR07twZAEJDQxcuXPj2228DwI0bNwoLC3v27Ok+GYc6e/bs77//zjBMXFxc//795XK5e+n58+fpsn1aSm9VIuRdGAiRf6GBcOnSpV45W3Z2dq9evT755JM5c+Z45YTtl8FgcDgcISEhAOB0Ot98883ly5cfP3586NChvm4aQreAs0YRagl6Y+/48eMpKSlPP/20r5vje7m5uenp6f379w8ODr548eLly5dfffVVjIKoXcBAiPzLq6++OmzYsDs/j0qlSkpKGjhw4NNPP43X6wCgT58+u3bt+u2336qrq/v37//AAw/c+dwfhO4OvDSKEELIr+HyCYQQQn7t/wHwghMdoWWgAQAAAABJRU5ErkJggg==", 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it.\n", "We then computed the residual of that fit on the training data and an independent \"test\" sample.\n", "\n", "Think about these questions, re-run the notebook, and try to formulate an answer.\n", "Please discuss online (Zulip or with a friend).\n", "\n", "* Is \"perfect train\" (residual for the noisy sample of the zero-noise function) always greater than (or less than) \"perfect test\"?\n", "\n", "* Can you identify when we begin \"overfitting\" by comparing \"train\" with \"perfect train\"?\n", "Does it happen at about the same degree each time?\n", "\n", "* In the real world, we don't have access to the zero-noise function, and thus can't mark \"perfect train\".\n", "By looking at just \"train\" and \"test\", can you identify (roughly) when we begin overfitting?" ] }, { "cell_type": "markdown", "id": "64a6be9f-39ce-4d47-b52d-34021649b286", "metadata": {}, "source": [ "## Bias and variance over multiple training sets\n", "\n", "What have we just done?\n", "\n", "* We took one noisy sample of a function\n", "\n", "* Fit polynomials of increasing degree to it\n", "\n", "* Computed the residual of the fit on both the training data and and independent 'test' sample\n", "\n", "What happens if we repeat the process?\n", "Try it!" ] }, { "cell_type": "markdown", "id": "1422c06c-2c89-49f1-999b-73ebca9b116a", "metadata": {}, "source": [ "## Stacking many realizations\n", "\n", "If each fit will be a bit wrong, let's see if we can identify some underlying tendencies.\n", "\n", "Run this cell below for different values of `degree` (set it back to `7` when you're done).\n", "\n", "Note that:\n", "\n", "* Low-degree polynomials are not rich enough to capture the peak of the function.\n", "\n", "* As we increase degree, we are able to resolve the peak better, but see more erratic behavior near the ends of the interval.\n", "This erratic behavior is **overfitting**, which we'll quantify as **variance**.\n", "\n", "* This tradeoff is fundamental: richer function spaces are more capable of approximating the functions we want, but they are more easily distracted by noise." ] }, { "cell_type": "code", "execution_count": 6, "id": "dcbe34a0-fb51-4dfe-bb02-abc3c09debff", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "size(Y) = (500, 50)\n" ] }, { "data": { "image/png": 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", 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runge.(x), color=:black, label=\"true\")" ] }, { "cell_type": "markdown", "id": "3c9482bb-4d3e-4ede-91d0-79ae38b2da97", "metadata": {}, "source": [ "## Mean over all realizations" ] }, { "cell_type": "code", "execution_count": 7, "id": "6b6a93b3-94f1-47e1-9dd4-ec6975339d87", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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doesn't depend on the basis used for fitting (Chebyshev in this case); that choice only relates to stability.\n", "If we could choose an approximation space such that variance was flat across the interval $\\left[ -1, 1 \\right]$, we would be able to solve interpolation problems on equally spaced grids without numerical artifacts like the Runge phenomenon.\n", "Finding spaces of functions have flat variance and are rich enough to approximate interesting functions is \"hard\" (e.g. has no general solution).\n", "It is possible in special circumstances, such as for periodic functions, in which the Fourier basis (sine and cosine functions) can be used.\n", "\n", "In practice, we often use **regularization** to modify the least squares objective such that we can reduce variance while using function spaces rich enough to keep bias low." ] } ], "metadata": { "kernelspec": { "display_name": "Julia 1.11.6", "language": "julia", "name": "julia-1.11" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.11.6" } }, "nbformat": 4, "nbformat_minor": 5 }