diff --git a/exercise.ipynb b/exercise.ipynb index 7de57d5..d7ef9c9 100644 --- a/exercise.ipynb +++ b/exercise.ipynb @@ -9,6 +9,8 @@ "**Exercise 1**: Ge Li ge.li@kit.edu\n", "\n", "**Exercise 2 & 3**: Philipp Becker philipp.becker@kit.edu\n", + "\n", + "**Solved by**: Pascal Schindler ujvhi@student.kit.edu, Paul Lödige ucycy@student.kit.edu\n", "## Submission Instructions\n", "Please follow the instruction from Exercise ZERO!\n", "\n", @@ -57,15 +59,17 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "$$ L = (y-\\Phi w)^T (y - \\Phi w) + \\lambda w^T I w $$\n", - "$$ = w ^T \\Phi^T\\Phi w - y^T \\Phi w - w^T\\Phi^Ty + y^Ty + \\lambda w^T I w $$\n", - "$$ = w^T\\Phi^T\\Phi w - 2 y^T\\Phi w + y^Ty + \\lambda w^T I w $$\n", - "$$ = y^Ty - 2y\\Phi^Tw^T + w^T(\\Phi^T\\Phi + \\lambda I)w $$\n", - "$$ \\frac{\\delta x^TAx}{\\delta x} = (A + A^T)x: \\frac{\\delta w^T(\\Phi^T\\Phi + \\lambda I)w}{\\delta w} = ((\\Phi^T\\Phi + \\lambda I) + (\\Phi\\Phi^T + \\lambda I^T))w = 2(\\Phi^T\\Phi + \\lambda I)w $$\n", - "$$ \\frac{\\delta y^Ty - 2y\\Phi^Tw^T + w^T(\\Phi^T\\Phi + \\lambda I)w }{\\delta w} = -2 \\Phi^Ty + 2(\\Phi^T\\Phi + \\lambda I)w $$\n", - "$$ -2 \\Phi^Ty + 2(\\Phi^T\\Phi + \\lambda I)w = 0, (\\text{to find optimum}) $$\n", - "$$ (\\Phi^T\\Phi + \\lambda I)w = \\Phi^Ty $$\n", - "$$ w^* = (\\Phi^T\\Phi + \\lambda I )^{-1} \\Phi^Ty $$" + "\\begin{align}\n", + " L &= (y-\\Phi w)^T (y - \\Phi w) + \\lambda w^T I w\\\\\n", + " &= w ^T \\Phi^T\\Phi w - y^T \\Phi w - w^T\\Phi^Ty + y^Ty + \\lambda w^T I w\\\\\n", + " &= w^T\\Phi^T\\Phi w - 2 y^T\\Phi w + y^Ty + \\lambda w^T I w\\\\\n", + " &= y^Ty - 2y\\Phi^Tw^T + w^T(\\Phi^T\\Phi + \\lambda I)w\\\\\n", + " \\frac{\\delta x^TAx}{\\delta x} = (A + A^T)x: \\frac{\\delta w^T(\\Phi^T\\Phi + \\lambda I)w}{\\delta w} &= ((\\Phi^T\\Phi + \\lambda I) + (\\Phi\\Phi^T + \\lambda I^T))w = 2(\\Phi^T\\Phi + \\lambda I)w\\\\\n", + " \\frac{\\delta y^Ty - 2y\\Phi^Tw^T + w^T(\\Phi^T\\Phi + \\lambda I)w }{\\delta w} &= -2 \\Phi^Ty + 2(\\Phi^T\\Phi + \\lambda I)w\\\\\n", + " -2 \\Phi^Ty + 2(\\Phi^T\\Phi + \\lambda I)w &= 0, (\\text{to find optimum})\\\\\n", + " (\\Phi^T\\Phi + \\lambda I)w &= \\Phi^Ty\\\\\n", + " w^* &= (\\Phi^T\\Phi + \\lambda I )^{-1} \\Phi^Ty\\\\\n", + "\\end{align}" ] }, { @@ -78,22 +82,22 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 35, + "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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\n", 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" ] @@ -154,7 +158,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -256,7 +260,7 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -270,9 +274,6 @@ " :return : The weight vector, calculated according to the equation shown before,\n", " shape: [degrees +1]\n", " \"\"\"\n", - " ##################\n", - " ##TODO\n", - " #################\n", " identity_matrix = np.identity(Phi.shape[1])\n", " #for Ax=b\n", " A = (Phi.transpose().dot(Phi) + ridge_factor * identity_matrix)\n", @@ -296,7 +297,7 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -335,22 +336,22 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 39, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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\n", 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" ] @@ -387,7 +388,7 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 6, "metadata": { "pycharm": { "name": "#%%\n" @@ -397,16 +398,16 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 40, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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\n", 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" ] @@ -479,7 +480,7 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 7, "metadata": { "pycharm": { "name": "#%%\n" @@ -489,16 +490,16 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 41, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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\n", 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" ] @@ -536,7 +537,7 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 8, "metadata": { "pycharm": { "name": "#%%\n" @@ -592,7 +593,7 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 9, "metadata": { "pycharm": { "name": "#%%\n" @@ -739,7 +740,7 @@ "\\begin{align}\n", " &= -\\frac{N}{2}(\\Sigma)^{-1} - \\dfrac{1}{2}\\sum_i^N \\frac{\\partial}{\\partial \\boldsymbol{\\Sigma}} \\text{Tr}\\left((\\boldsymbol{x_i}-\\boldsymbol{\\mu})^T \\boldsymbol{\\Sigma}^{-1} (\\boldsymbol{x_i}-\\boldsymbol{\\mu})\\right)\\\\\n", "\\end{align}\n", - "The rule on page 10 (formula 63) of the matrix cookbook allows us to derive the trace\n", + "The rule on page 10 (formula 63) of the matrix cookbook (https://www.math.uwaterloo.ca/~hwolkowi/matrixcookbook.pdf) allows us to derive the trace\n", "\\begin{align}\n", " &= -\\frac{N}{2}(\\Sigma)^{-1} - \\dfrac{1}{2}\\sum_i^N -\\left(\\boldsymbol{\\Sigma}^{-1}(\\boldsymbol{x_i}-\\boldsymbol{\\mu})(\\boldsymbol{x_i}-\\boldsymbol{\\mu})^T \\boldsymbol{\\Sigma}^{-1}\\right)^T\\\\\n", " &= -\\frac{N}{2}(\\Sigma)^{-1} - \\dfrac{1}{2}\\sum_i^N -\\left(\\boldsymbol{\\Sigma}^{-1}(\\boldsymbol{x_i}-\\boldsymbol{\\mu})(\\boldsymbol{x_i}-\\boldsymbol{\\mu})^T \\boldsymbol{\\Sigma}^{-1}\\right)^T = 0 \\\\\n", @@ -747,6 +748,7 @@ "\\end{align}\n", "Multiply from both sides with $\\Sigma$\n", "\\begin{align}\n", + "-\\Sigma N \\Sigma^{-1}\\Sigma + \\Sigma\\Sigma^{-1}(\\sum_i^{N}(\\boldsymbol{x_i}-\\boldsymbol{\\mu})(\\boldsymbol{x_i}-\\boldsymbol{\\mu})^T) \\Sigma^{-1}\\Sigma &= 0\\\\\n", "-\\Sigma N + \\sum_i^{N}(\\boldsymbol{x_i}-\\boldsymbol{\\mu})(\\boldsymbol{x_i}-\\boldsymbol{\\mu})^T &= 0 \\\\\n", "\\Sigma = \\frac{1}{N} \\sum_i^{N}(\\boldsymbol{x_i}-\\boldsymbol{\\mu})(\\boldsymbol{x_i}-\\boldsymbol{\\mu})^T\n", "\\end{align}" @@ -763,7 +765,7 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 10, "metadata": { "pycharm": { "name": "#%%\n" @@ -801,7 +803,7 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 11, "metadata": { "pycharm": { "name": "#%%\n" @@ -875,7 +877,7 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 12, "metadata": { "pycharm": { "name": "#%%\n" @@ -885,16 +887,16 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 46, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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YJkyAb76Rap1mwFYcEexOYHdzmod/9KjWI0eKZzRokNa7dtltkbOw2kOOlIcf7KnCv68g0LFiMeQzf77W7dtL/9PTT8dniGfFihXa49I/3OPx2BPSAV4DdgPLgqxXwNPAOmAJ0KuifTpJ8Ddv1rp3bzlb99+vdWGh3RY5B//wS9lO2OoIYiRi+JMmaZ2YGFjYMzJCC3qshnz27y8J8dx2W/xd2xs2bNA5OTmuE32Px6NzcnL0hg0byq0LJfhW5eG/ATwLvBVk/XlAB287CXjeu3Q8ixbJpBRHjsij8EUX2W2RPUyeLOmSW7bIwCdfLrx/nrzWEprRWsIz48ZVPYXS973Ro2VuAJBwxIQJ4e/T3+b0dAnDFRcH3nbvXslXL/s3+o4Vq6N+69aVOZIfeACeeEKKsr33nowOjwdatmxJdnY2OTk5dptSaVJTU2nZsmXlvhTsTlDZBmQR3MN/Ebja7/1qoFmo/TnBw//2W61r19a6VSutly2z2xr7qGoYxE4C2RyqVWRzrHr4/rz6qtZJSVp36iRPtQZ3ggM6bVsA/vP1ZHs/K4VSaqRSar5Sar7dd9y33pJZptq2hTlzoGtXW82xlWADpHyed1mi6fUG60gNZHMwwhm9O25c+dIYsTbq98YbZZrFHTukENuGDXZbZLCcYHeCyjZCe/hfAKf6vf8B6BNqf3Z6+OPHi/d2xhla5+XZZoZjCDZAKpppk4EI1ZEars2JieH3CcTqwKyyzJ+vdXq61i1aaL1qld3WGCoLDvDwtwGt/N639H7mOJ57TmqQXHopfPWVqVUPwYuVZWTY6/WGKs0QToG1tDRJsw23T2D4cNi0SYqRbdoUuyUeeveW2bQKCmRmreXL7bbIYBXREvypwLVKOBnYr7XeEaVjh82LL0rRqYsugnffhZQUuy1yBsHCGRMm2FvrJlRHaiCbk5PlJmXq8lRM9+4yk1ZCAgwaZGrsxwzBXP/KNOBdYAdQiMTn/wjcAtziXa+A54D1wFIqCOdoG0I6r74qj/gXXKB1fn5UD+0KqhPOiFQopKKO1HgJwUSSlSslvNO+vda7d9ttjSEcMKUVQvPVVzL45JxzZICVwToiOWDJDYOhYuGmM2uW1qmpWvfta8qIuAEj+CFYulTrOnWkiqC5mAUrRSrS6YxOFlQ33JDC5ZNPxCkaMkTroiK7rTGEIpTgK1nvPPr06aPnz58f0WPs3g19+0rn1Ny5UNkxDLFI2UlJQGLhVY13JySI1JVFqdifiSkrSyZ1KUtmpnT6uo3nn4fbboO//Q0efthuawzBUEot0Fr3CbQubounFRTAxReL6E+dasTeh9UTh8fzNIWxNjr31lvhhhvg0Ufh22/ttsZQFeJW8B96CGbPlrS8PgHvhfGJ1SIVDwOWghGLN7tnn5VBiMOHwzZHJlYbQhGXgj9jhkzyPHIkXH653dY4C6tFKp6nKYzFm11aGnzwARw9CldfHbw2kcGZxJ3g790LI0ZAx47w3//abY3ziIRIxcuApbLE6s2uUyeYOFHq6L/wgt3WGCpD3HXaXnWVVAf89Vfo1cvy3ccEgSpjul2kDNaiNZx7rtSZWrkSWpSrjGWwC9Np6+WHH6T069/+5i6xj/ZMS1XxyGNhNihD+CglXn5hIdx5p93WGMIlbgTfd2G2bQt//rPd1oSPL01y82bxqjZvlvdOElQ32Giwnnbt4O9/lyfmL76w2xpDOMRNSGf8eBgzBj77DIYOtWy3EccNudxusNEQGQoLoVs3SE2F336TJzyDvcR9SCc3VzyRc8+FCy+025rK4YZcbjfYGEniOZyVnCy/rSVLxNM3OJu4EPxnn4UDB2QKN6XstqZyuCGX2w02RgoTzoIrr4TOnWHs2NgfPe12Yl7wDx2Cp5+WME63bnZbU3nckMvtBhsjhdUjk91IYqJ4+cuXw0cf2W2NIRQxL/ivvCK59/ffb7clVSOcXG67Qwqxmm8eDvEezvJx+eWSEDFxot2WGEIR0522xcUigG3bymQOsUDZHPnzz5fyEFYVOzNUDtNhXcI//ynX5po10KGD3dbEL3HbaTt9OmRnwx132G2JNQSKF7/wggkp2IlV4Sy7n9Ks4Prrxf7XXrPbEkMwYlrwJ0+GunVhyBC7LbGGQPHiYA9o8RZSsAsrwlmx0vHbvDlccAG88YapseNUYjakc/QoNGkCl10WOx5HsNrygYjHkIJbiaWw0JQpUlRtzhw4+WS7rYlP4jKk8+WXcPBgbMWxg6U5lk01jZcMmVghljp+zzpLrsdvvrHbEkMgYlbwv/tOwjkDB9ptiXUEixffckt8Zsi4gXBi87E0jiEjQ+aXMBOkOJOYFfyZM+HUUyVHOFYIFi+eODE+yw87jbLifttt5WPzI0bI/85f/GNtHMM550g12rw8uy0xlCUmBX/3bli1Ck4/3W5LrCdea8s7nXAzqHx9MP4ds7E2jmHgQLk+582z2xJDWWJS8H/+WZYDBthrhyF+qEwGlQ//9NlYupH7So8vWGCvHYbyxKTgL1wooZwTTrDbEkO8UNUOVjd2zFZEgwbQsqVMjGJwFjEp+CtXQvv2UKOG3ZYY4oVwM6jC/Z7bad8e1q2z2wpDWWJS8DdskAsuHomFEZtupKIMKoiv9NnMzNh8enE7MSn427bJI2W8EQsjNsvGvR06LrAcFWVQaQ1vvx07HbMV0bgx5OS45/8XL8Sc4Hs8MuFJ48Z2W2I9FXnvbi/VO3aszErmEwmt5f3Ysd4NNk6GT7PgnQRZbnTWnayijtdY6pitiPR0OHYM8vPttsTgT8wJ/uHDIhR169ptibWE4727ecSm1pK3PWFCieiPGSPv8/JAb5wMc0fCkc2AluXckY4TfYOwbJksc3PttcNQmpgTfJ9HkZpqrx1WE4737uYRm0rBU0/B6NEi8gkJshw9Wj5Xix+E4jInoPgILHbJ40uc8dtvsty3z147DKWJOcGPVcLx3t0+YtMn+v489ZS3s/NIkBMQ7HODrVx3nSx9HdYGZxBzgp+cLMvCQnvtsJpwvHe3j9j0hXH8+T2mnxbkBAT73GArBQWyjLUnbbcTc4Jfp44sDxyw1w6rCdd7d2vHoH/MfvRosd8X3hkzBnSPcZBY5gQkpkEPlzy+xBm5ufJbTEmx2xKDPzEn+ImJ0mEba51Fobz3WMi9Vwrq1/eL2fvF9OvXB9VmOPR9CdIyASXLvi9BG5fc0eKMnTuhUSO7rTCUQ2vtyNa7d29dVTp31vqSS6r8dUuZNEnrzEytQevERFlmZsrnZbdRqvy6cPaflib79bW0tMrtw0l4PKHfG9zBSSdpfcYZdlsRATZM0vqTTK0nK1lucN4PDZivg+hqkt03nEiQmQkbN9ptRUkqpS+7xjftmy+l0of/Nv7rwgnHhMrecUs4x5+yo1ErKk1gcB5aw9q1MttcTOFLDfZli/lSg8E1T5oxF9IB6NxZyiN7PPbaEUiMffhEubqDpdyce2+ITbZtg717oXt3uy2xmBhIDY5JD79bN5nTds0a6NTJPjsqEt1Q68MV7NatA8+H6obce4NFFBdA0SHwFICnsGSpC73vi+RRSSVBQhKoxNKvE9MguQ4k1LDkkcpXB79nz2rvylnEQGpwTAr+qafKcuZMewU/mBj7r4fQgj15snj7W7bIZ+PGlQ7VjBtXOiQE7sq9N/ihNRzLhfxdgduxPVB4oHQrOgjFFtUvUImQVEfEP6m2LFPSoUYjSG0szf91zeZQsxmo0oGC77+HWrXgxBOtMcsxpLX2jvQO8LlLsETwlVLnAhOAROAVrfVjZdZfDzwBbPN+9KzW+hUrjh2IDh2gWTP48cfSsfJoE0iMffiLcjDBLtsHECi+71uGuikYHET+Hji4Fg5v8mubS5aBxFsllYhtSn1IawnJdb3iXNf7ujYk1oCEZFDJsvQ1lQRo0MXi7esiv9eFUHRUbhxFh6DwoLwuPCTLY7lwYCXk74bio+VtS0iGtFZQK1OEr1YmdXMyuf3yDqR4OgMNI3gyo0yPcaVj+OC61GClq1nOTimVCKwBzgKygXnA1VrrFX7bXA/00VqPCne/ffr00fPnz6+yXcOGieBv22Zvx5/PQ9+8WVJGi4ulU9lflIN58VlZgb3/zEzJsTc4FK3hyFbYv1LE8sBK7+sVIqD+1GgItbJEMGtliXjWbAqpTUpaSgNn9F4XHRbh97Wj2d6bVUnTR3eg8NOUGhlQtzPU7STLep2hQU95MnAjGydLzP7IFrnB9RjnuA5bpdQCrXWfgOssEPx+wFit9Tne9w8AaK3/5bfN9URZ8F9+WbzhJUvg+OOrvBtbSUgIXF5WKfs7pA1etAcOroe9C2DfQlnuXQiFeSXbpKSL0NX1tY5Qq42IfHLtsA81ebKMS/CNMcnIkIFpTnqae/65Ap58eCszPltD6/qrvDe6VXLTO7anZMOazaBBL0jv7W29oGaLyN/YXCDY1SWU4FsR0mkBbPV7nw2cFGC7S5VSA5CngTFa661lN1BKjQRGArSuZq/jRRfBrbfKj+Sxxyre3omYDlkHUpAHObMh5xfYMxv2/SaxdICEFKjfHTKvFC+2XhfxbGs0qraQTZ4MN95YUrIARPhvuEFeO0X0X3sjhdpN29HqpHagziu9Mn+PPOXs/a3kBrnja7lpAqQ2hcanQaPTZFnveEhItM64GEirrC5WePiXAedqrW/yvh8BnOTvzSulMoBDWutjSqmbgSu11oND7be6Hj7ABReIh795s3jLbqNsDB8kvu+m+jiu50g27P5ZBD7nZ8hbBmiJi6f3gvQ+JR5qva4S044AwcJ74JwQ35Il0KMHjB8vTyJhUXQY9i2RG0Dur3KufVkvyfWgYX9oPACanQUNTijXQVwpPs0K0umaCX/YVPX9OoxIe/jbgFZ+71tS0jkLgNbaP3D5CvBvC45bISNGwNVXw08/waBB0TiitZgOWRsoOgK7f4Id38KObyQUAdIp2rA/HH+5eJ8ZfSEpLfS+LKSyKbwVZXdFgtdfl+KFlTpOUi1o1E8aXh/x8BbvTdbbFj8grUYjaHYOND8Pmp4NqZXsEI6BtMrqYoWHn4SEac5AhH4eMExrvdxvm2Za6x3e1xcD92mtTw61Xys8/CNHoGlTGDIE3nmnWrsyxDL7V8G2z2HntyI0nmOQmAqNBkCzs6HJIAnVJNiXxVwZD9+OJ8PDh8WOQYPggw8s3nn+bu8NeJrchI/tAZQ8XbUcCq0vh7rHVbwf4+FXX/C9BzgfGI+kZb6mtR6nlHoYqekwVSn1L2AoUATsBW7VWq8KtU8rBB/gnnukCNfatdC2bbV3Z4gFtJb48daPpR3wXor1uooH2ewciSMn1bTXTj8CxfBBPOrXXy8t5HZkdz3xBNx7L8yeDf36ReYYgMT79y6A7dNg+1cSBgKo102Ev/Vl0ncSiLIxfJC0yhgrwhdxwY8EVgn+9u3Qpo10br3wggWGGdyJ1tLJuuVDEfkjW2SgUePTodUl0GIo1GpV8X5sJNwsnWhndx0+LDeZ3r1h2jTr9x+SI9tg60fyf835BdCSCZU1HNpeJ2MW/InzLJ2YF3yQbJ3XXpOCas2bW7JLg1s4uA42vg2bJsGhDVI+oNnZXpG/UPLEY4xoe/hR8+4r4sh2yP4EtrwPu2cCSv7XbW+ElhfJwLQ4IJTguzB3pfLce68MeHrkEftsiIWa9a7h2F5Y+zx82x8+7wDLHoHabaHfW3BpDpw+FdpeH5NiD9Gd6nLvXnj8cTj7bJvFHiCtOXS8Hc78CYauh25/hf0rYNaV8ElzmH+n9NfEM8HqJtvdqlMPPxB33CH15hcssHS3YRFrNesdicejdc7/tJ59ndbv1tB6Mlp/0VXr5Y9rfXir3dZFnerMsVAZbrpJ5nlYvDgy+682xUVab/9W61+u0vrdFLkupp+r9bZpMTvZAiHq4cdFSAcgLw+OO046bmfNim5efkUZFibVMgDhxlqLjsDmKbB2onTmJdWGNiOg3U3evG0HlCSIUWbNkkKF99wjYR3Hk78b1r4o10r+Ton1d7oLsq6RFNsYie/HfQzfx5tvwvXXSzzfN0IxGgTrRPNhBlOVIZxsiiPbYfV4WPeylDGo1wU63CZin1zXDqvjisJC6NVL5o5esUKqY7qG4gKJ8696SrK1UhtDkzNh6yfg8SsQ59IMHiP4XjweOO00mRxl8WJo2bLi71hBKA/fh1NGSzqCYPnSyRnS8Za/3fuBglaXQsdRMhrTePNR46GHpE/s00+ljIkr0VoGdi17FHZ+F3gbF+box32nrY+EBMlZPnZMRuH6phyMNIE60cpiZqjyI9jIx8JcP7FHMm5a/gGanG7EPop8/z08+qg8JTtW7DdOFsfhnQRZbgyQJaGUOAqDvw2+nxgbhRtXgg/QsSM884yUTn788egcc/hwCdlkZgbfRmuTvfM74U4o4cl31fRy0SDS2WA7d8I118g0os88Y+2+LcMXEjyyGdAlRdICib6PtCA/zpSGoeOxLiPuBB8kjn/llfJYOmdOdI45fLiEbCZNCu7t+yY4iXvR7zEOElLD2zbGPLDq4CupsHmzaJTV11NxsYj9gQPw/vsOi9v7e/S/Xlf5uWd7jJOYfSkUFOTAjLMhb6nVFttCXAq+UjLqtnVruPRS2FquUHPkqMjbr8wE5jFJfg7k/k9mYsIbpqnZElKC5My7aHq5SPPgg+VnV7PqetIaxoyBH34Qz75r1+rv0zLKevQ6SKw2lHPQZrh00KZlAkqWJ70OvZ+W7K+ve0oef+GhCPwB0SOuOm3Lsnw59O8vj76//AJ16kT0cOUwE5z44SmCtS/Akr/J1Hptb4TjHyoZGh8ndVCqQySvp//+F/70J7j7bvjPf6q3L8sJ1slflqp2wB7LhSUPyWC+Wq2h78tSrtmhmE7bIHTtKpX9li+XEE9RUXSPH2wik7ib4CRnFkzrAwvukNry5y+Fk14qXQclkAcWg2JfnRh8pK6nDz4Qsb/sMofm24cT1qvO3LM1MuDE5+Csn6WK6oyz4dcboWBf1fZnJ8FGZNndrB5pG4oXXpDRryNHRnfwXdyPwD26S+tZI2T04ycttd78fsyOfgyHQNeDUlrfemvVv1/d62nGDK1r1ND6lFO0Pnq06vuJKJ9kyjVUtr2TqPVkJes3hHESNkzy7ivEd4qOav3b/bLvj5tpvXO6tX+LBRBipK3twh6sRVPwtdb6/vvlbNx+e/RFPxpD4B3H5g+0/rCh/HDeq+sV/czwfpgxSmZmabH2bxkZ4V0jVl5P33+vdc2aWnfpovWePVXfT8TZMEnrKWmlxX5KWuWupcruI3e+1p930vqdBK2X/ENKODiEUIIf1zF8f7SGP/9Z4pOjRsHTT5vU7ohwLBfm3Q5b3pOJvI/ukPRKH764PMTEMPfKUNGIbB/RGJn97beSY9++vXTUNm4cuWNZQnXLIlRlcpTCQzDvVqnE2mQw9J8MNZtWxXpLMTH8MFBK4pN33w3PPit1x6t6LzSVMYOQPRW+7ArZH0P3R8BTXFrsQTplF4yufB51DBBurD3SmVxffw1Dh0rtqRkzXCD2IOL+h00wzCPLyjoHVZn+MLm2VGA96VXYM0cyeXKilOddRYzg+6EUPPmkpJ8980zgGYYqItK50K6kuAAW3AUzL4LUpnDOPCldezRIPmxBbuXzqGOAcePCf6qM1Mjst94Sz75LF/HsG1Zy2ljXEiy9t6K0X6Wg3Y1wzlxIqgM/DIItVs/xaB1G8MuglIR1xo6FN96ACy6A/fvD/34kc6FdyeEt8P3psHoCHDdafhgNesi6yubQx/ggq+HD4ZZbwhN9qzO5tJaBiNddJxUwf/hBZtSKGwINvKpMZk/9bnD2HMky++UKWPFvR47QNYIfAKXg738Xwf/xR/kBhDs4K5jnFZe1crZPg2m9YP9yOPV96D0eElNK1gf7kSXH7yCriRPh7bdlYJ5SIropKaW3sXoyk/x8udk88og81U6bBg0aWLd/V2BF2m9qQzjjB2h9JSy6T+L7nigV7AqXYL25drdoZ+kE47vvtK5bV+tmzbSeM6fi7YNlWmRmRtpSB+HxaL3iCUlv+/J4rfevDr5toFQ4K7IuYohIZnJt26Z1//5yjf7rX3GdFWsdnmJJ3ZyM1nNukPdRBJOWWT2WLNG6TRutk5K0Hj8+9I8i7nPriwu1nnurXOw/X6514eGq7SecnGhDKSp7Y5g2TetGjeT6fP/9aFgYZyz+uy2ibwTfAvbu1XroUDljl16qdV5e8G3jNre+8JDWM4bIRb7wz1H3bOKZyjgahYVa/+Uvsk23blqvWBF9e+OGxQ95Rf/GqP0ejOBbhMej9b//LXN4tm9vz/y4juVojtZf95aBKGsm2m1N3BFuKHHLFq1PO03W3XST1oer+ABmCBOPR+vFfytxgqJAKME3nbaVQCkZnDVjhmTenHSSdO5WNnUz5sjfA9PPkM7ZAZ9Bh1vttijuqChZQGt4+WWpH7VwoXQMv/xyxRPzGKqJUnD8P+Q3sfIJWP+areYYwa8Cp50GS5fCVVfBww9D376waJHdVtmET+wProEBU6HFELstiktCFU7btAnOOkvGg5x4IixZInXtY5pwZryKFkpJmeWmZ8Pcm2HXj7aZYgS/iqSni5f02Wewa5f8kMaOlekT44ayYu/gkrGxTqBpNGvWhIEDoVs3mDtX5oD4/nto29YWE6NHVWa8ijQJSXDqe1CnA/x8CRzaaI8Zthw1hhg6tKS88j/+IT+uL7+026ooUHQEfjzPiL1D8J9YRylo0kRKIrz5JpxyCixbBjffHCf1oRY/6MyR2in1YeAXMkHLnBEyB0SUMYJvAenpMnXhtGmQmAhDhkhbty78fbiq/o6nGGZfIzMBnfKeEfsoEuo6GT4cfv5ZnI9du2RKwnfflesyruZYqEpdnGhRuy30mShzQKyI0qTafhjBt5BzzpH46BNPwE8/SQfZX/5ScWkG19XfWXQfZH8iI2dbDrXbmrgh1HVy+LCMlO3UCT79VMokrFol/Uxx4dX7U9W6ONEiaxhkXgVLx0LuvKge2pRHjhA7dsB990mcPz0d7r1Xyi4Hmvg5K0t+vGXJzJQON0ex7iXpeOp4B/R52m5r4opg10mDBpCcDLt3y6xUp5wC48dLhk7r1hLfj2QpZcfhhukwC/bBV90huR6ct0hi/BZhyiPbQLNmUnlwwQJJ37z/fmjXTqpwlu3YdU39nX2LYP4d0Ow86PWU3dbEHcGuh3374PjjYdYs+MMfpFCfa54WI4EbpsNMaQC9J0gq8/qXo3ZY4+FHiVmz4K9/lWJsrVqJ93/DDZJZ4QoPv+gwTOsNhQfhvMVSKMoQVYJdJ02awM6dobdx1LVkELSWcsr7l8GF66RT1wKMh+8ATjkFpk+H776Dli0lvNO6tQzcuvfe8il1VldErDYLRsOBNdB/UmTF3kn50w5i1y7o2bP85zVrSjlvH655WjRI50qvp+DYXlj2SFQOaQQ/iigFZ54p3v7PP8tN4OGH4U9/gpNPhubNZZvMzMhPYVcptn4C61+Frg9Ak0GRO06g/Ok5I2DubZE7psNZsQJuukmcg6lToXdv8ehBrpOXXy59nYQagBVzxIJzkH4CtL0O1k6UcS0Rxgi+DSglNfY/+0wyKUaMkJvA9u0weLBk+Vx+ud1Weik6DAvuhPo94PixkT1WoPxpNKx7wZ0/5iqSny8x94EDJdPrnXfgj3+E1ath/nwJ32gtIZqyTkGgAViOe1q0AicOrqoqnf8Mxfmw7sWIH8oIvs0cd5x485s3S1rd2rVwxRUS9rnvvsrl8keEZY/CkWw48TlISI7ssYLmSWv7B81EgWXLZC7l5s2l9MHWrfDPf0o4ZuJE6NCh4n2UHYDluKdFq3Dq4KqqUK8LNDsH1j4n04FGENNp6zCKi+Hbb+VH+vnn8n7gQBg2DC69VFI8o8aB1fDV8ZA5DPq9EfnjfZrl9dgCoWSCan82TpYf+JEtkmPdY5yzMjHCYOdO+OAD8eJ//VXSKy+5BP7v/2DQIBlgZQjAOwlAIO0KcJ24ge3fwI/nQr+3oU31Ch2ZTlsXkZgI550Hn3wint0jj8C2bZJa17QpXHihiMOhQ1Ew5rd7IbEm9IzSiMAe44Ago4TKDppx8SN9bq7E3s84A1q0gDvvlP/nk0/K/3rKFFlnxD4ETh9cVVmanQ212sDmKRE9jLmkHEzz5pLK6Yvd3nmnVOUcPlzqpFxxhZR0yM2NwMHzlsK2qdDpT1CzSQQOEIA2w6H9LZQT/UCTSbvskX7bNnlqu+ACuXGPHCkhmwcflFDO0qXSed+okd2WuoTqTjruNJSCVhfDzu+g8EDEDmOJ4CulzlVKrVZKrVNK3R9gfQ2l1Hve9f9TSmVZcdx4QSnJznjySYn1z5wJ118vyxEjRPxPOw0ef1yyOiyJ0i1/DJJqQ8dRFuysEvSdKI+1FQ2aqaheis0ZHB6PVKh86CHo1Uv6ZG6+Wf4/Y8bIgLzVqyVLq2vXqJoWG7hhcFVlaXkxeApg+9cRO0S1Y/hKqURgDXAWkA3MA67WWq/w2+Y2oLvW+hal1FXAxVrrK0Pt18kx/MmTxTOze+i6xyOe/xdfSLzfV5O/TRtJ/xw8WOL/TZtWcscH18MXHaHT3XDCExZbbRHB4v1pmeLlRXlovdawcaNMjvPjj9IPs3u3hGX69y8pqNelSxzWtjGEh6cYPm0hqc+nvFvl3YSK4Vsh+P2AsVrrc7zvHwDQWv/Lb5tvvNvMUUolATuBRjrEwZ0q+L4CVkf8tCQtzRmZENnZIv5ffine/wHvk2HnztIBOGgQDBggTwQhWfgnWPMMXLQZajaLuN1VIlS9lMUPBr8Z/GGTJYf3CfxPP5WI/Natsq5xY4nBX3ABnHsuZGRYckhDVXFT5/6sYbD7J/hDdpU9g0gL/mXAuVrrm7zvRwAnaa1H+W2zzLtNtvf9eu82e8rsayQwEqB169a9NwcaI24zbhm6XlQEv/0mYjRjhgz0OnxY1mVlySxdvtarl19RN08xfNYKMvrCgE9tsj5Mgv2QI5DBsWcPzJsnYZq5c+V1To6sa9RInqQGDpSbaqdOxot3DG4opObPmudg/ihxtmpVrQM6lOBbV6LNArTWLwEvgXj4NpsTELcMXU9Kklm4TjxRSjcUFkr4Z/bsEtF6/33ZNiFB4sg9e8IFvWdwZaMd5NQaTkPtcOFqMzzwjzatdRAPv+IfUGGhjH1Ytkwmtlm+XOLtG70TFCklYZkhQ+TcDhhgwjRRZ+5tsP4lmUhEJUK7kdL3E4hQnftOFPwGPWWZt7TKgh8KKwR/G9DK731L72eBtsn2hnTqAZHILYk4rVsH9vCdPnQ9ORn69ZPmY/fu0l7r9OkwqOZkDvStQ+t+Q0iqITeCrl2hfXuZGq9NG1lmZDhY5ILF8L0ZHB6PZM1s3FjSVq0ScV+9WkQf5O9r1046zG+9teRpqE4dG/4mgzD3Nlj3fMl7XVzyvtEp5Z/4nDwZSiDqdZHl/hXQ4gLLd29FSCcJ6bQ9AxH2ecAwrfVyv21uB47367S9RGt9Raj9mhi+DWgPng8bsyflPD7Z+TbLl5d4urt3l960Th0R/zZtJH20SRPpHPa1Jk2k1awZRfO19Fvs2gU7f/uOXfM/YefuJHYd6cDOhPPYmteejRvlhl3gN6DRNyK1W7eSG1y3bhKaiab9hjB4N0lEvhwJkJha/iafWBMKAviWFvbnWM4H9aDNdVWebyKiIR2tdZFSahTwDZAIvKa1Xq6UehiYr7WeCrwKvK2UWgfsBa6q7nHtwifqobJ0nJLFU2n2ryShMJfGvQZx80WlVx06VOINb9ggbeNGCX/88kvwsQA1akDdutLq1St5XbeurEtOlpaUVPI6OVm88MJC6YsoLCz9+sgREfZArej3aULP8jYZzNa4sQxy6tlTRrL6blZt2sj/qEaNCJ3TauLaaylSBBR7AE/g0E1CTRH+IE97jqRmCzhaNkhiDaa0gsW4+glg7Qsw71a4cC3UaV+prxYUSCfmzp3Sdu2SlpdXIsb795cW52PHyot6YaGIPXhvAklFJKmjJCcWkJzkISm1Fml10krdOPxvKA0alH7KaNpUwk9uHLXq6mspUgT18IOhZDBfuDF/J/BeLXlauaxqUe+IZulECrcKvluyeAIyazjsmg4Xb7c1QO/xyOHVJpdlWFhMpa8lXaaXvez7WKBsDN9HQi3wHC7/eXIGeI666xp6x/s/G1Y1bTa1dKKIW7J4ArJvITQ8yXaRSEjwmuCy8glWU6lraclYWDimZJi11vJ+ydiI2GYbfSdC+1vFUwdZtr8VTnoxcKkFhfuuoRqNxMOPAEbwLca1E1B4iuDQeqjbyW5LSqhKhkUsTIrhJexrSWsozIPVE0pEf+EYeV+YZ1GtDQfRdyJcXSQe8NVF8j5YqYWCvYH34dQsHYD63SA9oINebYzgW4xrJ6A4ugM8hVC7rd2WlFDZiogurqAZiLCvJd9UeceNFpF/N0GWx42Wz2MtrBOMNsMl82aYR5ZthruzqmZBHiTXj8iujeBbjGsnoMj3zoKd6qBSCpWtiFjZEJDDnwYqdS35RN+feBL7YLixquaxPVAjMhNfOGqkbawwfLgLBL4sBftkGaELrUr4OtXCrYNSmRBQ2SH3vqcB/+M6gLCvJV8Yx5+FY4zoV/YashtPoaRk1sqMyO6N4BuE4qOyTHTYSKNg5RMCUZmSCm4bch8K/5i9L4zjew9G9CtzDdnNwfWgPRELrZqQjkH4vWPPxcJQmcd3tw25D4VSEvP1j9n7YvrJ9eNb7N3G3nmyjFCnrfHwDUJCiiw9hfbaUR0CPb43P1/ezxlR+nG+GgXWHEn3saXz7n2ib8TeXeTOg6RaULdzRHZvBN8gJHsrghVFbnq1qOD/+B4qTl9BgTVXUlbcjdi7j9y54t0nJEZk9yakYxBqNJRl/u7Q27mJiuL0sTZFnsHdHNsLexdAw/4RO4Tx8A1CWktZHnZhDLssv0+MEmQCHV+c3k2deYbYZ9tU0EUymXmEMB6+QUiuA6mN4eBauy2pHqUGXwXBrXF6QwkOH0NRJbZ8JNdmhDpswQi+wZ963SBvsd1WVI9AYZxSKOnINbiXGBtRDUDBftj5LbS+LKJ9L0bwDSWk95ap1Yrz7bak6lSYVqlh45vuFod4JxaL6m14AzwFkDUsoocxgm8oodGpctHt+Z/dllSdcMI1bheHeCFY2CaWxlCAFC5cPR4anSZOVwQxgm8oofEAUAnyaOlWAg2+CkSwcguxFhd2K6HCNm4siBaK7E/h8CbodHfED2UE31BCSn1oMhg2v+fekrpl0y1VkHzmsuIQi3FhNxMqbOPGgmjB0BpWPgG120GLCyN+OCP4htJkXi118XPn2W1J1fEvk3vym+GJQyzGhSNFNJ6EQoVtYmkMxdYPZbBVl/sjNtjKH5OHbyhNq0tkXtvN70LDvnZbU33CrZYYa3HhSBGtKqMVlb6IhTEUxfnw271Qvwe0vSEqhzQevqE0KfWh+QWwaRIUhUpvdBGBJsYoSyTiwrHYJxCtJ6FYCtsEY9V4id33fioq3j0YwTcEotMYmYRh/Wt2WxI9rBaYWO0TiNaTUCyFbQJxeDMsHwctL4Img6J2WCP4hvI0Pg0anSKdSW6unlkZrBaYWOsT8D2tEKQzPxIZMuE8mbkRTzHMuRZQ0Gt8VA9tYviGwHR5AH4aApvegbbX2W1NdLAyLmxnn8DvtYQsmuGpbNy+LLEWaok0q5+C3TPh5NehdlZUD208fENgmp8PDXrBkr9C4SG7rXEfduWKRyKUFKpcRayFWiLNviVyPlteDG2i70gZwTcERino8wwcyYZlj9htjfuwq9MxEqGkoE8lKrZCLZGmYB/8chmkNIC+L9oyX4ERfENwGvWXdLFV/4X9K+22xrkEysaxq9MxEqGkWBvZageeIvjlCsnKOe0jSG1kixlG8A2h6fkYJNWGuTdLZ5OhNKFCKHZ0OkZCnCP5tBKLqauBWHg37PweTnxBEiJswgi+ITSpjaH3eMj5GZY/arc1zsNp2TiREOdIPa1U1N8QKzeDtc/DmmfguDHQ7kZbTTFZOoaKaXOteCfLHobGA6HJ6XZb5BycNkI33JHFVdmv1U8oFd0sozGiN9JseAvm3S6DGU/4t93WoLRDi2T16dNHz58/324zDD4KD8K03lB0GM5bZFsM0hFsnAzzR0NhbvBt0jIljGM3VqdoWsk7CQTO61chSis45LyGw+b3YfbV0HgQDPwCElOjclil1AKtdcBps0xIxxAeyXXg1PfhWC78fDEUHbXbInvYOBl+vSG02DslL93pIZNQ/Q1Oe3KqLNlTYfZwmZD89M+iJvYVYQTfED4NekL/SZAzG+aMAO2x26Los/hB0CFGHzspLz1YyGTONfBhQ7lx2Vn6IVR/g5szgza9K+mX6b1g4JeQVMtui37HCL6hcrS+DHr9B7Z+BAv/ZLc10Sekh+mwvPRQthbklr9xRbuzOVRnsFuLp616CmYPE89+0DeQXNdui0phOm0NlafTGDi8RaZlq5EB3f5qt0XRI1hs2bfOSYSyNRjRDpmU7Qz2hZmObIHkdEisCQV7ndf/UBbtgUX3wconodVl0P9tx4Rx/DEevqFq9PoPZI2AJX+DxX9z7wxZlaXHOFDJ5T9PSHGe9xnudI/+2HnTKtvnUJgLxUeh39vOenIqS9ERmH2NiH2H2+GUKY4UezAevqGqqATo9wYk1pD8/OKjcMITtgwXjyo+0fHP0knJgN4TnCdIpVI0w/D07Q6ZhErTdNq59XFoA8y8GPKWQo9/QZf7HP0bMIJvqDoqQWqCJKbCqv9IymafZyAhxi8rN8y2VDYds/2tsPHN0oKakAKJdaDQISETt2XmbP8aZg0TgR/4FTQ/126LKiTGf5mGiKMSoPfTkomw4nE4vFEeaVPq221Z/BJoGsKNb0p1xu1fOTMnHyqe1tApeIpk8pKl/4D63WHAx1C7rd1WhUW1BF8plQ68B2QBm4ArtNb7AmxXDCz1vt2itR5aneMaHIZSUnOndnuZD/fbfnD651Cnvd2WxSfBQiPbv3L2oKUe48rX3bc7zFSWg+slJXnPHMi6Rp5wkyrZT2Ij1e20vR/4QWvdAfjB+z4QR7XWPb3NiH2s0v4mGPw9HMuBb06CnT/YbZF1WD1IKZKDntwWGvHh5GkNtYZ1L8PXPWD/Cug/Gfq95Sqxh2qWVlBKrQYGaq13KKWaAT9qrY8LsN0hrXXtyuzblFZwMYc2wE8XSknlrg/A8WMhIUBmi1sINONTYlrVxcjq/ZXl0yz3lyVwEkd3SLXYbZ9DkzNkpqparey2KiiRLK3QRGu9w/t6J9AkyHapSqn5SqlflVJ/CLYzpdRI73bzc3JyqmmawTZqt4Vz5kplwOX/hO9Ok5uAW7G6ImakK2y6ddCS0/AUw+pn4YtOsONbmX928LeOFvuKqDCGr5T6HmgaYFWpq1NrrZVSwR4XMrXW25RSbYHpSqmlWuv1ZTfSWr8EvATi4VdovcG5JNWCk16BpmeLN/tVTzhxImQNd3TaWkCsDpFEIuRSNivH6R20Tid3Psy7BfYukGu4z7NQt4PdVlWbCgVfa31msHVKqV1KqWZ+IZ3dQfaxzbvcoJT6ETgBKCf4hhgk8wrI6CuFpOaMkEnRT5wY9cmbq4XV2SNW7y9YVk4k499OrsJZHY7thaV/hzXPQc2mknHW+gr3OSlBqG5IZyrgm4n3OuCzshsopRoopWp4XzcETgFWVPO4BjdROwvOnCmPxDkz4cuusPK/kt7mBqwOkVi9v2hPwhKJidLtpjgfVjwBU9vB2onQcRRcsBIyr4wZsYfqC/5jwFlKqbXAmd73KKX6KKVe8W7TGZivlFoMzAAe01obwY83EhKh02i4YAU0GQS//Ukyefb8ardlFWN19ojV+6tMiMiK7CCnzfJVHTzFMknJ5x1h0b0y/eB5i6HP05BSz27rLMdMgGKIPlrD1g9h/p2Qv1MemXv+yzWDVxxHuFk5VmUHhZq4ZJhLSmZrD2z7ApY8BHmLIb2PlAZpMtBuy6qNmQDF4CyUgtaXw4VrodtD8sP7ohMsuFtiqIbKEW6IyCrP3M216j3FsPk9+LonzLwIig5JnP6c/8WE2FeEEXyDfSTXhu7/EOFvcy2smSAx1KWPQEGe3da5h3BDRFZlB7kx7dNTCBvegC+7wKyrpP+o39swZJU3Th8fUmhCOgbnkLdUvM1tn8vEER1HwXF3xff8uVZi5YAst2TpHMuF9a9I1s2RrTJrW9e/QquLY1bkQ4V0jOAbnMe+RTJga8uHMgFGh1ug092Q1sJuy9xNpEf4Ool9i2HNM7BpsmTgNBkk11DzC2Iq6yYQoQTfVMs0OI8GPWXC9P0rYfm/YPUEaa0uEa+/0Wkx/6ONCKXq4zvcM68Kxfmw9VNY9zzsninOQpvr5Jqp381u6xyB8fANzufQRlj7vDyaF+yD+sfLjzhruKMmiDbYgNaQO1fi85unQGEe1MqS66PdjZDSwGYDo48J6Rhig6IjsPldWP2MpNIl15OUzrbXyaTRxuuPH45sk3DNhjfgwErx5ltdCm2vl/BNjMbnw8EIviG20Br2zIa1L0L2xzLTVu120GaENJPPH5sc3gpbP5IxHDmz5LOG/aHtDZLmG4MDpaqCEXxD7FJ4CLZ+DBvfgl3TAS0i0OoSycQw4u9uDm+GLR/Blg8g1zsqu353EfjWV0Ddjvba50CM4Bvig8NbYdMk2PK+ZPoA1O8hwt/qEqjXzYR9nE5xAeT8IpU+d3wtk42AdOS3vhxaXWZEvgKM4Bvij0MbYesnkP2J9/FfQ6020OxsaU0Gm3l3nYDWcGi9zI6242tZFh2SCdYbD4Bm50HLoWa6zEpgBN8Q3xzdBds+g21fwq4ZUHRQOvXS+0Kzs6DpWZBxIiSm2m1p7KM1HFgFu3/ytplwdLusq5UpAt/8PLkhJ1dqkjyDFyP4BoMPTyHs+R/s/E5mMdo7VwppJaRAem+pltiwv7SawSZwM4RNwX6ZRGTvPEmfzPkF8r3TZtRsBo1P97aBUPc4E3KzACP4BkMwCvLE08yZJZk/ufPAUyDrareTyVsa9CxpqY3ts9XpFOyDvOWwb6Gcx73z4MDqkvW120LDU6DJ6dBogIRpjMBbjhlpazAEI6U+tLxIGkDxMdi7EPbMkptAzizJ/fdRsxnU7wkNekDdztKBWKcj1Ei3w3p7KNgH+1fB/uXetkyWR3eUbFOzuYTJsq6B9BMhow/UyLDPZgNgBN9gKE1iDWjUT1rne+SzY3tloNe+RSVt53eg/WbsqtFQhL9uR6jdHmq1hrRWkNZSmlv6B7SWPo6jO+DwFpl8vmwrzCvZPrEm1Osi877W6yqtQQ9T98ihGME3GCqiRrqM3mwyqOSz4gI4vBEOrIGD3nZgjfQLHH0jwD4aifDXbAGpDeUGkZIhXm+NDO/7dCkVkZgGSWmyTEisut2eIvAcg8IDEroqyBPvvND7ujBPOrTzd4jA+1rZmvkJyZLhVLstNDxZlnU6SH2aWllxParVbRjBNxiqQmKKdDLWPa78uqIjcCRbyvGWW26FvEVwbI8U+6qIhBpe8a8JKhFQXoH1Ln2vPQWyP88xCUt58qUzuiKS6kiYqmYzCcGkNit5n9ZS+jFqNq/ejcfgGIzgGwxWk5QmoZ2KBggVHZF67QW5cgMo2CdlIoqOiJdddETeFx+B4qMi4NoD6NJL7ZFQVEINCR35v06oIXMLpNSH5Pqy/P11PfeEmgyWYATfYLCLJG/oplYruy0xxAkm+GYwGAxxghF8g8FgiBOM4BsMBkOcYATfYDAY4gQj+AaDwRAnGME3GAyGOMEIvsFgMMQJRvANBoMhTnBseWSlVA6wOYxNGwJ7ImxOVTG2VQ1jW9UwtlWNWLMtU2vdKNAKxwp+uCil5ger/Ww3xraqYWyrGsa2qhFPtpmQjsFgMMQJRvANBoMhTogFwX/JbgNCYGyrGsa2qmFsqxpxY5vrY/gGg8FgCI9Y8PANBoPBEAZG8A0GgyFOcJ3gK6UuV0otV0p5lFJB05WUUpuUUkuVUouUUvMdZtu5SqnVSql1Sqn7o2RbulLqO6XUWu+yQZDtir3nbJFSamqEbQp5HpRSNZRS73nX/08plRVJeypp2/VKqRy/c3VTlOx6TSm1Wym1LMh6pZR62mv3EqVUr2jYFaZtA5VS+/3O2UNRtK2VUmqGUmqF9zc6OsA2tpy7MG2z5txprV3VgM7AccCPQJ8Q220CGjrNNiARWA+0BVKAxUCXKNj2b+B+7+v7gceDbHcoSueqwvMA3Aa84H19FfCeg2y7Hng2mteX97gDgF7AsiDrzwe+BhRwMvA/B9k2EPgi2ufMe+xmQC/v6zrAmgD/U1vOXZi2WXLuXOfha61Xaq1X221HIMK0rS+wTmu9QWtdAEwBLoq8dVwEvOl9/SbwhygcMxThnAd/mz8EzlBKKYfYZgta65nA3hCbXAS8pYVfgfpKqWYOsc02tNY7tNYLva8PAiuBFmU2s+XchWmbJbhO8CuBBr5VSi1QSo202xg/WgBb/d5nE6F/bhmaaK13eF/vBJoE2S5VKTVfKfWrUuoPEbQnnPPw+zZa6yJgP5ARQZsqYxvApd5H/w+VUk6ZmNau6ytc+imlFiulvlZKdbXDAG9o8ATgf2VW2X7uQtgGFpw7R05irpT6HmgaYNWDWuvPwtzNqVrrbUqpxsB3SqlVXg/ECbZFhFC2+b/RWmulVLB83EzveWsLTFdKLdVar7fa1hjgc+BdrfUxpdTNyJPIYJttcjoLkevrkFLqfOBToEM0DVBK1QY+Au7SWh+I5rErogLbLDl3jhR8rfWZFuxjm3e5Wyn1CfKYXm3Bt8C2bYC/N9jS+1m1CWWbUmqXUqqZ1nqH9zF1d5B9+M7bBqXUj4i3EQnBD+c8+LbJVkolAfWA3AjYUmnbtNb+dryC9JE4gYhdX9XFX8S01l8ppSYqpRpqraNSuEwplYwI6mSt9ccBNrHt3FVkm1XnLiZDOkqpWkqpOr7XwNlAwMwBG5gHdFBKtVFKpSCdkRHNhvEyFbjO+/o6oNzTiFKqgVKqhvd1Q+AUYEWE7AnnPPjbfBkwXXt7sCJMhbaVie0OReKuTmAqcK034+RkYL9fKM9WlFJNfX0wSqm+iP5E4waO97ivAiu11v8Nspkt5y4c2yw7d9HohbayARcjsbVjwC7gG+/nzYGvvK/bIpkVi4HlSLjFEbbpkmyANYjnHC3bMoAfgLXA90C69/M+wCve1/2Bpd7zthT4Y4RtKncegIeBod7XqcAHwDpgLtA2itdZRbb9y3ttLQZmAJ2iZNe7wA6g0Hut/RG4BbjFu14Bz3ntXkqITDYbbBvld85+BfpH0bZTkX69JcAibzvfCecuTNssOXemtILBYDDECTEZ0jEYDAZDeYzgGwwGQ5xgBN9gMBjiBCP4BoPBECcYwTcYDIY4wQi+wWAwxAlG8A0GgyFO+H8oXENEGzt+CgAAAABJRU5ErkJggg==", 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\n", 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" ] @@ -923,7 +925,7 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 13, "metadata": { "pycharm": { "name": "#%%\n" @@ -936,13 +938,13 @@ "(-1.5, 2.5)" ] }, - "execution_count": 47, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", 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\n", "text/plain": [ "
" ] @@ -1002,7 +1004,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "data is independent and identically distributed\n" + "data is independent and identically distributed (i.i.d.)\n" ] }, { @@ -1018,7 +1020,7 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ @@ -1075,7 +1077,7 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 15, "metadata": {}, "outputs": [], "source": [ @@ -1113,7 +1115,7 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": 16, "metadata": { "pycharm": { "name": "#%%\n" @@ -1152,10 +1154,6 @@ " #--------------------------------------------------\n", " for j in range(batches_per_iter):\n", " global_idx = i * batches_per_iter + j\n", - "\n", - " #--------------------------------------------------\n", - " # TODO: do stochastic gradient descent update!\n", - " #--------------------------------------------------\n", " start = j * batch_size\n", " stop = start + batch_size\n", " batch_features = features[start:stop,:]\n", @@ -1180,7 +1178,7 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 17, "metadata": { "pycharm": { "name": "#%%\n" @@ -1191,22 +1189,22 @@ "name": "stdout", "output_type": "stream", "text": [ - "Final loss 0.049667711564466484\n" + "Final loss 0.04803303656958995\n" ] }, { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 58, + "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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", + "image/png": 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\n", 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", 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\n", 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" ] @@ -1288,207 +1286,6 @@ "- the convergence speed and monotonicity increases with the number of iterations\n", "- the convergence speed decreases with a larger batch size while the monotonicity increases" ] - }, - { - "cell_type": "code", - "execution_count": 65, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Final loss 0.04862487828744283\n", - "Final loss 0.0764927527288308\n", - "Final loss 0.13082091463648715\n", - "Final loss 0.17844316720448433\n", - "Final loss 0.22758646080538977\n", - "Final loss 0.24389850417131584\n" - ] - }, - { - "data": { - "image/png": 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", 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", 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", 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", 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7F0YlrHbCDITto4r56CFcVN1e1Uv9s8/Qsvk18meOo7u9c1j6mGoSkoctIr8TkToR2e5wXkTkZyKyV0RqRGReItpVoiOc/xxKvqfRoRZ7wTbk2NbjROCfR7evCpABYd7VcatjH51ec7R7oet2lfTHzJgUVqybpJaDv/kPWja/RvV153PT75cOSz+Hg0RF2A9g7dn4oMP5ZcBs/8/5wC/9v5UE4hR9Bh+3w+747II/DYp0LQxOgu1Uj1Pfen2FtsIcziPXAc+RTzih7hhnaNn8GieeXUV2cR4z/ul2Ll5aMCz9HC4StQnvBhGZHqbIdcCD/p3SN4lIuYhMMMbUJqJ9xdnuaOqbydHejw8RumDsoumAAAaLbL8vl35KoqrHqW+W+Lsn39MY1T8cJbOI5FW3FrdR+8SjdNfsouS8U5jylRXMn93CxeUfAM6R4kgjVR72JOBQ0PPD/mMq2AnCKfo83HsJ4Jz25KFnwDsOZWL+m4Mi11DhtavHbSqgU6SeI+14Te6g8oG6rXqrhrzG2b5R0h0noQZLrDvHQ8cHuzj24CP4OruZuPIqrvjrSYicFOvRRNoNOorISmAlQL6neJh7kzk4R5lOwxQm6kG70KjbyhjxRBwwdLI57Pp0euFjg9oI7WPoP4xw/3CU9CZSVN1e1UfD6r/Q/Mar5E8dw9R/+RSLFvQDDBLrKwv3pqjHw0+qBPsIMCXo+WT/sSEYY+4H7gcoyx4T3ffmUYxlGQyNPi1RHRph53sauaTiH4Do0uhCo+5gXmn6gUMqoNe2D6HkSPtA3XZt2Nk04fqqGSXpSaSoGqyBxdrfPETfkWNUX7uACXddzrmTTwAnxXo0CXWAVAn2KuBeEXkUa7CxRf3r+AkWpGzaEfow5Ayc99DDxNzXhnjYwVFpIqeah4vyPfSEHcD00DMQXYcj3D+MYHQKfXoSKaruGOujedNG6p//izWw+N3buHh5IXAi46JqEVkK/BQrWvmNMeaHNmU+CXwP6wPxnjHmU+HqTIhgi8gjwKVAtYgcBr4LlnIYY34FrAGWA3uBTuCziWh3NBMqSNZgYB850kafKR4UUVZ073OMNBOZeeEU5Qd72YE+VGe/R33/x5IW/WpGSXrhJqpuLWyh9rE/0L1jD6ULZjP5S9cwf7Y1izEDxToL+AWwBGvMbouIrDLG7AwqMxv4B+DjxpgmERkbqd5EZYncHuG8Ab6YiLYUC/uBvByypJXLK78w6Gi4qDSRmRd2qYCBaN6+D49G3YZbNKMkPXAj1J3joX1HDcf/+3FMXx+T/nYZVcvmMXes9SU808Taz0JgrzFmH4DfXbgO2BlU5vPAL4wxTQDGmLpIlabdoKPijkQJUrioOFqi9ZiTSSKvS4keu6VP7cS6rbybE0/9ibZ3tlAwewJTv3Y955/bA9SmXKi9fR6ajjmnrYZQLSLBawTe7x9/C2CXGRc69+RUABF5Dcs2+Z4x5tlwjapgJ5FkDnpFK0hOfQkXFceCW4852ST6uhT3uI2qu/bvo/ZXD+NtaGbsrR9n/O2LmTvhOJARUXW9MWZ+nHVkY00mvBQrEWODiJxtjGkO9wIlCSR70CsaQXLTl3SIimMl3D/GTL6uTMNtVN1R3U/D88/S9Oo6sqsrmPWjz3Dh4iwgY8TaDW4y4w4Dm40xfcBHIvIBloBvcapUBTtJJHvQKxpBitSXdImKYyHSP6NMva5Mwq1Qd46HnmNHqf3tw/QdqqXyqrlM/NwS5k2z9vcKnQiTwWINlujOFpEZWEJ9GxCaAfI0cDvw3yJSjWWR7AtXqQp2kojkMSfCLnEjSGbGJLobnPsS7TZL8pFt+vywodkgw4dboQZ/ut6r66l/aS2eggKm/+9PUnb+qXxszFFgxETVAxhj+kXkXuA5LH/6d8aYHSLyfWCrMWaV/9xVIrITa7LCN4wxYXenVMFOEuEmsuxou21QbnQi7RK7D1F+bgvdveW2xxNRPwyfkMcz+KoTa2LD6W/AKarua2yg9qGH6dmzn7ILTmPyvcs5b1YLMDLFOoAxZg1WSnPwse8EPTbAV/0/rlDBThL2q90BZHG49zJC19KIJyqMFCXPmvQSOw9ci893coq4x9PLrEkvRd2W2z6kSsBjzQbRiTWxEVVUPc7Q+uYbnHhuFXiEKV9ZQcXlZ9um68HIEutkoYKdJAIf+m0dn2XotGz7hY+iScmLxsqYWGUtU773yBV095aRn9vCrEkvDRxPBqkS8HCDr5EGI9VKcU8koYaQqLqlmWOPPkL3jj0Uz53BlC9dQ+6YMlsLBFSs3aKCnUQm5r/Jto67XZd3kyMcrec80Jeq7UkV6EgE9zuR4h0Q1/c7b6XPWIuFeegdsqxst6+KbR13s6vjVs4oekwn1rgkGvsDrKi67e0t1K39E3h9TPqbpVQtP88fVXcAI9cCSQUq2EnG2cseupZGuBzhWIU6HUmGeHtNLoH72U+Jre0EQj8l7Oj4NNm0267trRNrLKIV6s7x0N/aQu0Tj9Fd8z55p85gxjeWkTehUqPqBKKCnWScvrJPzH3N1VoaqRDq4A9h0cGOpLcXTCLEO5r1tsGyPrKkF4/p0Yk1IbgRarCLqrdS9+zT0N/PxM8vofrahcwdV4vdwCKoWMeKCnaSCZ8vba2lEfBat3XcPXB+whmJiTxDP2iJKp8MYY9VvGOxMfpMMWcX/VazRPzEItQDXvXjj9O97X3yZk9nxteXkzfpZFQNKtaJRAV7mLHNVuj6DKbhmZg852gFOlYC7Vw5+W3uOWstYwubOdFWxn9vvIJ1u8+Ju/5oxNut7RT6mtE+sSbct7dIQm2MoXXLJk48vwq8PiZ+/iqqr12AeEQtkCSigp1kIqWP2WYr+HLZe+QK14KdKpEO5crJb/PN856kILsPgHGlLXzpqmforsrjjddPS1g7AWFxEu5wttPxvgX+wUj34wUjnUg2W8SourGB2jWP0vP+h+Sdfgozvnb1IK8aVKyThQp2komUPuaYrdBbFrHu4RLqAPectXZArAMUZPdxz1lrefHwvEHHE2GhOEXd4WynM3lUJ8j4iVeojddL82uv0vDSWvB4mPzFZVRePW9QVA0q1slEBTvJhEsfe6XpB46vCzcLcbiFOsDYwmbXxxM9sBkq3uHsjdFsfbgZtI4k1AA9tUc4tvoxevcfpuBjZzD9K0vIrS5VoU4xKtguCI7Q7DaeDRe9OfurOB53moUYq1AHfwATQfFRLwB1neWML2oecr6uszzs65Mt3kr8Qg2WWPt6e2lc9xxNr72Cp6iQqX9/A+UXz0Ekuqi66HgnFfvbyerx4c3z0DS9mI5xhdFe1qhHBTsCoR50YNaiNRHjTgQG9lG0m95sP0XdaTDM2M5CjFaoEy3QTvX/9Mgn+M4pj1OQddIW6erP4Vfbl7muS8U7cbhNAbX7e7KLqjv2vM/x1U/irW+k6KL5TP/iJWSXFABELdZVe1rx+Kzn2T0+qva0Wm2oaEeFCnYE7HN8A+QQuq176PRmO381XBra4nN+Oui5W7FOtkjbsbbhPAD+buoaxuc1cayngp8fXM5a33kU4426vsC1JiplcDSIdzR5+m6Fur+tleMv/5HOLTVkjx/DKf/yVxSfMx0IL9Rgb4NU7G8fEOsAHp91XAU7OhK1CW/Y3YFF5C7gx5xcwPs+Y8xvEtF2soklx7fbVxl2oOuVth+5Wj3PjVgPh1AHs7bhvAHhDia4XwELxS3JmMgzksQ7XpEGe/vDeL20vPk69S+vwfR5KVtxJVM/Ox9PjiUTsfrVWT2+qI4rzsQt2G52B/bzmDHm3njbSzXhPGgncqTdMZVvwhlHmNUQfvW8VAl1IKJyovBY3E0A6S3e4CzgO9pu43DvJYAH8DE59xXOLEnexsFOxDLbNRqhBug6tJ/ja5+k7+BR8ufMZvqXlpA3yQpWgoUa4E7vRhbUHKC4t4f23Dy6Z+TRUegcKXvzPGTbiLM3zxPNJSkkJsJ2sztwxuK8TCpA3yAPG6wcX2OwT+Xru5kJ/DTs6nmRxDoWoY4kzLG8LlYxT4R4J3qWpZ2AW2IdvB6Jf1ncNoaIdqLTBuNZjiBaoe5vb6Ph+dW0vv0mWRWlVN9zBxM/MR0R67pDo+qZDXVcfGAvOT5LgEt6eyja02O17WBvNE0vHuRhA/g81nElOhIh2G52Bwa4SUQWAx8AXzHGHLIpg4isBFYC5HuG/w0N9aDdZIk4rdAXnFttt3peosQ6VoGOBrs2ohXxWMU72WufmBmTOLz1EuwWjzrcewlnclKw41lXO1HrxIT7u3ESauP10rz5NRrWPYvp7aXk6kuYdvdCsgqt6wiNqgMWyIIjBwbEOkAkPzpwPN2zRKRPyDuWE7ngMJKqQcdngEeMMT0i8gXg98DldgX9W8XfD1CWPSZ0TG9YiJTHG3rOEnCbRfVjzK1OJ6F2236s4p0OlomF09d1zyCh3VNzs/O3qQStB+NELEIN0LFnN3XP/4n+2jryz5zNtHuvIH9K9cD5cF51cW+PbXuR/OiOcYVpJ9CZSCIEO+LuwCH7lP0G+FEC2k1bbKdKh9nhJV6xjleojc+H8faDMSAeJDt74CtxrMQq3unjd/sYuvFE4PhJnGakupmpGguxfAsLvBe9J45zfN0qumt2kT2miuovfoaJS6fY2h9gnwWifvTwkgjBjrg7sIhMMMbU+p+uAHYloN2UEo1POSSVL8wOL/GIdTRC3d/RTs/hg/TUHqW3vo7ejnr6m1rxtXdgukOiJhEkP4+s4iKyykrIKawgp6KK3Oqx5I4bT+7Y8Xiy3f/pxCve0Qo3xC/ek6u3crh+IYNtEcPk6q2DyiVyv0wnYrXKBnzqjnYa1z1Py5bXkdwcym9axpS/+thA9ge4E+srC/c6+tGdFblM3lyX1pbHSCBuwXa5O/D/JyIrgH6gEbgr3nZTiZ1Pua3j7kHLoYaKd8BGiWZFtGDCibUboTZeL13799Gxewcd+9+n72jdwLmsijKyx1SRd8pUskqKkYI8JCcHEbGi7b4+fJ3d+No78Ta30nX0AO3b3wO/d5mdBedMgbNm5lE38Tx2T7yS7NLyyJ0iNvGOJ+qG2MR7zvRnAThcP5+BLJHqrQPHAyRjv8x4c+8D99jX20vzGxto3PgSpqeP4osXUnbdEqpPPek0uhXqgb7Z+NGdFbkU13XrxJgUINbGvelJWfYYc0H5DcPdDV5p+kHY1D4PPZxZ9NAQ0R4Ose6tr6NlyyZat23F19qO5GSTd+oM8k47hbxTppE7dSKegvzwldhg+vtZ3LCRq2ufZ+cBL1v2wZsfQlu3df7U8XDhmXk0z7yAbROX4snJDV9hCLFkncQi3nbEa58cbTgrrv0yo5nJGkmkwfpn3frWZhpeeQ5vSxsFHzuD8puWMXbeYPF0I9bXtdVEHCycvLnO1ibpz/Nw+Pyxbi8tLmZMOfaWMWZ+PHXkT5pipv6tuw3M93z7q3G3Fws609EFkSbP+Mjzb7Z70g6JNQPAzQfSjq5D+6l/4wW6a3ZBloeCc86g6Py55J99Op686MTTDsnO5odT32DydC9cYB3z+qDmIKzbCS9uh8de7aHrpfVk575KzpmnUzrzHIpOP4usgoKI9QeuL1V+dzB2gulGxEOF+qwZf4wo1IleD2aQUPt8tG17h4ZXnqW/roHcU6ZR9YU7mLC4etBr3Ag1WGLtZkq5ToxJHSrYLnA3eSbLdTqX21zZAOHEurfuOMfXWwNJnuJCSq+9kpJLF5FVNnS/wniZKM2Dnmd54Nzp1s9Xl0N3L7zyPvxhaxYPv32I4+/sgKws8s+cTdmp8yg+42w8eU7T/C2GY7DSjkjCWnfwdD48eDU+r38dmd5ydh5cQU9VHmOnvh93++D+m5bx+WjfWUPDhmfpO1pHzuQJVN97JxOvnjxo8DhUqGGoWM9sqGPx0b0DYhs69GyXwqcDkalDBdsF4SfPnCSwjki4dK5EifXAKmqvv4Lk5lJ241JKLr8QT374PsbDUVPO5BDRDiY/F64+B5ac3cu6W/+J3v2H6dxaQ+fWGo7X/IG63ByKTj+L0rnzKTzlVCTL/aBqMsW77uDpHNxxMT1dpeQVtDL1zFcjiu7BHRcPiHUAnzeHgzsujkuwoxloNj4f7dvfo2Hj8/QdPU72hLFUrfwUhfPPpnLi4G8IbqLqmQ11XHrggyHrfoQSGjnrxJjUoYLtgqGTZ8Bp66lw9kmixLr70AFqn36Y/uP1FF00n/KblpFV4u7DUTG+zVU5gGW92/m77nWMNy0ckzI2ZM/iur4aCugL+7qjphzxeMibOZW8mVMpv3k5PR8eoHPTu3RueY/2mnfwlJVQevZ5lJ67kLxxkUdRY7FMILJ41x08nQ/fORkp93SVsWfrJ/jwnSX4vLmOAt7TVWrbntNxN/1zIvTvwNffT9u7W2l842X6j9eTM3EsVZ+/ncIF5/iF+qRYu4mqAyw+ujeiWMPQyLljXCF5Lb2UHOseONY+Nl8HHJOACrYDdml8l1T8w8A5y7Me+mGLNp0rGrE2xtD82nrqX1hNVlkpY7/2efLPmBW2/mgEOphlvdv5TtfqAXGeaFq4rq+GdzyTWOg7QBYGH2AQsoPWLOw0Ofyo/+pBdYnHQ/7sGeTPnkHF7dfSVfM+Ha+/RfMbG2jeuJ7c6ZMpO2cRJWefG9HvTsTknGAOrh0aKYPg81rfVHq6yvjwHet6gkU7r6CVnq6hudZ5Ba1RtR+O0L8Bb1cnLVveoHnzBrwtbeRMnUT1PXdQMO+sIUIN7r3qQBaIG8/ZLnIuOt5JcV33oBCmuK6bnrJOFe0Eo4JtQ6TpxoGIO97JMdGIta+3l9q1f6BzSw0F551F1Z034yl0FrdYhTrA33WvGxJJF9DHIt/+gTmAWUAvQpPkU2a6OCZl/LzgMv7cOG9IfQEkO5vCeWdROO8svK3tdGx6h47XtnJi1ZPUr32a4jPOoXTeQgpmzkI84T3QeMQ7gJuI2M7qmHrmq4MicwBPVh9Tz3w1roW57N773hN1NG/eSOs7b2J6esk/YxaVf/1J8ufMpnJCO5GEGiKLNTh70SbovF2WiC6fmjpUsG2ItA8j2K9zPWva+qgnx4Ri94H1drRz+LFf0/vRYcpvWkbJ0ktsZyLGK9LBjDf23xRCJTQXH/XkclnZ12z70XTMefAzq7SY0qsupmTJRfQdOEL7a1tp3/wubTVvk1VZTtk5Cyg5dz65VWMi9jdW8c4paaOvLbJo93SVDhLiwol7mFTh4dimi+hrKyGnpI3xizZSeNoe943jbHsZr5eO3Ttpem8j3Tv2QHYWRQs+RsmSi8mdOtF/j9sHvSYaoYahS6I6edENs0vDCq9miaQOFWwbwu3DGExwtB1tGl+4KcTB9Le2cOihX+Ktb6T6nr+i8LyzbOtLpFgDHJMyJjqIdihO4g7uxFtEyJ0+mcrpk6n45CfofGcHHa9tpfGVF2lc/wJ5s6ZTNmc+xWfPJasgcsQWeh/DCfj4RRs59MIynMYkAuSUDL2/laftpvK03RH7E6l/wfQ2nKD17S20vrsZb0sbWRWllF23hOLF55NVVuK/n4P7YifU4C6qDibWRZo0SyR1qGDb4JTGl+9pjLout1aIo1j//hd4m1sZ8+W7yT9t5pAyiRbqAD/Pv2yQhw2BdQqHckzcrZvhSrxzcihaOJeihXPpb2qhc9M7tL/+FnWrnqRu9Z8oOPs0yk49j6LT5+DJdZcRE07AK0/bTUftBBq3z8VJtCW7j/GLNg461rj7tCHRtZ14u5mV6u1op31HDS07t9Kzdz+IkH/WaVQsXkjBOacjWVm2Qg3xR9WhxLJIk2aJpA4VbBtsF2+iZ2A51VAStUxmMN7ODg7/zy/xNrcy9it3kzdr+pAyyRJrgLW5ViQfKUukixx+nn9Z1PW7Ee/sijJKl11KydJL6Dt4lI5Nb9O5pYZj7+5EcnMomn0GRXPOpui0OWTlR56cEyBURKtuW0/Ou7U0PmcJsCevCxHwdhfYinHj7tM4vG4Jpt/yr/vaSjm8fgm9ZVA6113E3d/eRsf7O2jd+y7du/aC10fOxLGU3biUogvmkV1RNuQ+BRNtVA3R72LuduPcTFk+dSSggm2DnT8dy6L0sUbXvr5eDj/2a/rqGhn75b8eItbxCLXTB92Oo1TyD9w06FhTazG3NG6lsr/DGmTMv2xA3GMlcD1hLZNpk8idNonyWz5Bz579Vn7329tp31EDWR7yZs+gZMaZFM4+ndwx46JebbB07u6wYtsZ9Lj2oYsGxDqA6cuh4YWLHOswPh89x47S+cH7tH20g959B8EYsqorKV2ymMKFHyNnygRExDGahtQINUS/ca4un5oaVLAdiLQGdgAzY5LrtSTciLUxhtrVf6B33yGq77mD/NNPGXQ+FrGORqQjsan0FDaVDu7Tx7Dqf+/ExLjqdmWZeDzknzaT/NNmUnH7Cnr3HaTz3Z101+yifu0qWLuKrPJSCqfNpmD6TPKnzSC3emzEjBMnWt89jYYXLqK/pYTssjaqlmykv8W+b8HHjddLz7GjdB/8iK79++g8sBdfuyX7udMmUXrNFRSee+aASIdefyixCDXEJtagmR/pigp2nBxtOGvQam3dveXsPHCtNUWZ6Ge8Nb3yIp1bayi/eTmF55096Fw0Yp1IkY6lzVSJd96s6dY3kJuX09/QRPeOD+jetZeO93fT9t5bVrmCfHKnTaKgagp54yaQO3YsOVVjI+Z8t757GnV/XoLps6Lp/pZS6v68BE9hF77OgGgZ4BjWRkrbOfy7F/Gynb5DRzF9/QBkVZZTcM4Z5J8xi/w5swctGxDpPQ33PiY6qg5GMz/SExXsODAzJrG35opBS2sC+Hy5Q/J23UTXHXt30/DSsxSeP5eSqxcPOpfuYh2uD6kQb4DsqgqKF59P8eLzMcbQf7yenr376f3oEL0HjtDy5sYBEQXwFBaQVVVBTkEZ2cUleAoLycorQHJzkexsGl4QTN8hoA/oBtoxfU0Y3zGQejBHsHbHO2mYdO0rJXv8ZIovXUTujCnknTKN7KqKsNdkR6xCDfGLNWjmRyIQkaXAT7GmLPzGGPNDh3I3AU8CC4wxW+3KBFDBjhOnnUUiTcgIFev+tlaOPfU/5EwYQ+VnbhrkwboV62QK9aLWD7mlcStV/R00ZBfxROX8IdaIm36lSrxFhJzxY8gZPwYuWgBYNkX/iUb6auvoP15Pf30j/Y3N9DW30HPiCL6OLkxv8GShp2xqLgVvFVljc/HWnQksB2YCpwKnA1Mwva1U3PpfYfvuRDxCDYkRa9DMj3gRkSzgF8ASrH1ut4jIKmPMzpByJcCXgM1u6lXBjhOnHUeCpyhHmvlmjKH2L3/A9PRS9fWVg5ZDjfdDnggWtX7IX5/YSJ6x1uKo7u/gnrpXmNV1nP8Zd2FUdQ2HeAeQrKyTIu6A6fdiensxff3U/vMd+JpLgRwgHygCPGRVtjDpX/6Lg5/7BnapgN7G0iH9C0ek9y/ZQh0uG0QzP2JmIbDXGLMPQEQeBa4DdoaU+2fgX4FvuKlUBTtGAql8tjuO+KcoOxEaXbdseYPuHR9Qccf15E46eTIdxBrglsatA2IdQIAr295nb8E415F2KMkS7wBuRDwUyc5Csi1vu/zmPTQ9uBTTezIjRHL7KLtxAwBZla14G4d+w8oZ05yw9y4VYh0uG2Q0CbSnL6pZstUiEmxf3O/fQDzAJCy/LMBh4PzgCkRkHjDFGLNaRFSwU0EgGySQJRK6ulu43asB+poaqX9uFflnzKL40kVRtZ0qr7qq334xf8ES84Bgp4ttEiBeES9eZG092vLHxXgbS8mqbKXsxg1Mud4/u/Wzz3P4vuswPSf/WUteL+M/86JjnW7fs1TZH5oNEjP18ew4IyIe4CdEuV1iQgQ7krkuInnAg8B5QANwqzFmfyLaHg5CJ8pMrNrOxKrtUe8mYozh2HNPAFB5181R+dapHFhsyC6i2kG0A2JuZ5v89QlrduCm0lOiEvNkiHeAaNMiK65/c0CgQ6m8rAaAYw9eSV99OTnVzYz/zIsDx4NJpFBD4rxqzQZJGkeAKUHPJ/uPBSgBzgLW+z/344FVIrIi3MBj3ILt0ly/G2gyxswSkduwPJtb4207XqLZCT0WIkXX7Ttq6N6+m/JbrxmUSZBqsY4kEjVTJnHZRx/YTtxuyLb+SdnZJnnGyy2N1t9eODEPRzLFOxFUXlZjK9AQ3fuUaqEO4DYbxO2sR2WALcBsEZmBJdS3AZ8KnDTGtAADe7eJyHrg66nIEnFjrl8HfM//+EngPhERM4w7AEdaQjVaoo2ufb09nHjuaXKmTKTk8pMDd6kQa7fiEGBf1VjGtbUyp/7YINHu83iomWJ923CyTar6O8KKeTT+d+i1p5uAx/LeRPNeJFqsATorcik5Nngt69BskGhnPSpgjOkXkXuB57Cch98ZY3aIyPeBrcaYVbHUmwjBjmiuB5fxX0gLUAXUh1YmIiuBlQD5nuSlELlZQtUOt+uGRIqumza8jLepheqVn4q4VVaAeMQ6WpEO5Y3pszheUsqCIwco7u2hPTePLZOmsa9qLBfzAe25eZT09gx5XUN2UVgxj4fhFvBY349o34tkCDVYQlxyfLBYG6C7OJuK/e1U727Fm+dBvEZ97hgwxqwB1oQc+45D2Uvd1Jl2g47+kdb7AcqyxyQtAo+0hGo0dkm00XVfcxNNr62j8Py55M2ePnA8lqnJkYhXqIPZVzWWfVVjbc9tmTSNiw/sJcd38pMdiMDPOXTE1gMP2CmJwukeRSvkjevOGeRLn3/vE8xc6ipNNizpItQBKj9sQ0I+YQIUtPYPiHh2jw+nD6H63KknEYIdyVwPLnNYRLKBMqzBx2Ej3BKqTnaJGVvBRIauERJKpOi64cW1GAPlNy4dOJZosU6kUNsxs6FuSLT96rRZthE4METMeySLJypjHmSPimju375nz2f7L1bg7bbe+74TFbzxgzsBYhbtWN6LZIs1gKffXopDxyqcltHSWY+pJxGCHdZc97MKuBN4A7gZeHk4/WsIv4Sqk12y98gVtos6RUPPsaO0vfcWJVcvtp2yHEq0Yp1soQZLrIMFuKS3h4sP7OXVabN47JwFQ8ouOHKAbJ8PH9aHPyDmOVVeaE56d6PinV/eOCDWAbzdebzzyxujEuxY34dUCHUsGBhinXRW5DqUVpJF3ILt0lz/LfCQiOwFGrFEfVgJt4Tqto67bV9jNw091A6JFF3XbViNFORTtuzSgWPRrnnsRCrEGmDBkQODomWAHJ+PBUcODLJMQoVdsGySQZF3UJ9fbT41+Z2PQMfxod+6wh0PJp77PxxC7cuCrKEbydtiF3UXNvUS/ZYeSjwkxMOOZK4bY7qBWxLRViJxWkLV0S6Jckf0ULoPHaC7ZhdlN1yNpyixgzWpEmuAYpvBRbvj0Qj7giMHuLt34yArZTgEvGhcAx3Hqm2P2xHvfR/OiLpxVilVu1sH7SJk/D+hx+xsEfWwU0/aDTqmA7Z2ic2O6JEGG0Oj6xMb1+IpLqLkio8PHIs3uk6lUAdwyghpD9myy42wO9krgJVHFEQqBPzcv/kjb/zgzkG2SFZ+D+f+zR+BxN7v4bY/nNYLCT0mXkOWjd+tHnbqUcG2IZod0YMJt8hT16H9dO/4gPKbl+PJt8QgE8UanDNCtkyaNqick7AD3FqzhS2TprmOwsH+ehMt4gGf+p1f3kjH8UoqJ9Rxw1f/i0XXOk83j5bhFupgnNYLCT4WmocNunLfcKGC7UA8O6LbUf/683iKC6NeL8SJ4RJrYEBInTJCAtgJO1hfrwORdLbP/mu1U3QeSjLuw8W3fcCdtz2U8HrTSaijQVfuSx9UsGMkmsHG7qOH6d72PmXXX52Q6Ho4xTpAuJzs4DJ2MyQD5ARljoQSaq9kMuks1NFstKsCPfyoYKeAhjdfQAryKLn8grDlMkWso2Fqa5NjHi+czByJZK9kIuks1KBTzjMRFewIxGKHBEfXvQ0n6HxrO6VXX4Kn0FpnOdZdzzNNrMGdtfFB5VimtjaFtVcyhXQVabtIWpdWzTxUsGMgkh0STNPG9ZDloWTJRWHrTId9GJNBuIFHsCLsqa1NgybczGyo49aaLRkl4Okq1OAcSYtDVp6m66UvKtgJJji67m9vo/WdLRRdeN7ATtmjKboG54HHYNym+aWbaCdDpJOxjKlTJO001VjT9dIXFewwuLFDwkXXLZs2gtdL6VWLHctAYvb0S1dCM0oiDTBGk+YXDru1ThIl+MlcPS8ZnnK4iNnnQdP1MggV7ChxuzKfr7eX5q2vUfCxMwY2fbWLrtNJrOMVohc7Z9keD2SUhEbPMHSA0e0synAkOkoPd18SFREXHe+kenfrkH9oifCUw21SEPCyNV0vM1DBTiDBdkjru1vxtXdSEiG6DkeyxTrRkWK4+l7snOUqf9vtLMpwJCJKd3NvEhURB+pxyqaJ11Numl7sOPFF0/UyCxVsB+zsELeDjcbno2nzenKnTx5Y7zqW6DoZDNfg2EC7hdAwpWJgbd19nZEn20RK8wu1P6KN0mO9J4nKsrCrJ5h4PWWd+OIOTx8UH3W5GtYwoYKdIIKj644PdtF/vJ6qz98+aGPdaEh0dJ2uWQxD+lUIzbknv6ZH8p/t7I9wg2mJvA+J2sA2ksccracczqYJHK/Y3w5ovnWmoYKdBBq3riersozC884Goo+uR9ICQ7EQ+jV9Jq3MpHXgedHxTir3tuLxB0N2S3+GrjCXjME0J2840Ee3YuhUjwEaZpfGZK+E2jR5Lb0U13XrJJkMRwXbhnjskO6jh+l5/0PKb16OZLvbqzEZZKJQu6HoeOeQJUGd6M/zJNUCsPOGwfpHUb27lcoP2+iozqOwqTdsP5w85mjFGpxtmtCNdgPHdZJMZqGCnQCC7ZDm1zcgebkUL14IpD66HqlCHaBif7srsfbmeTh8fnLztgNCZ5fdIUBWvxkklE5RbSI95kTaMUr6oYIdA07RdX9rC23b3qH4kvMHpqGHomIdH24EJpW5xB3jCqne3ep43m1Um6hsjXA2jVN5JXPQdysEN3ZIMIOi600bweej5EprGnqssxpjYTSINYQXGINlg8RiJSSrT3YkM6ptml6Mz6Y7dkPfOkkm84grwhaRSuAxYDqwH/ikMabJppwX2OZ/etAYsyKedtMRX28PLW+9QcHcOeSMtd//L1nR9WgRa/D7vTYethGoPzW1Qg2Wpy5e47iNlh3JjGpD7RW7PhnQ1L4MJV5L5FvAS8aYH4rIt/zPv2lTrssYMzfOttKCYDtk0ESZd7bi6+ik5KqLgeii65G2w3YyCE5V82WBzwfiz9/zZQuNp5S4Ep9ErtVhtxOL3e7iyc5WCSVgr0zbcMyxTLL9fSU5xCvY1wGX+h//HliPvWBnBNHaIQOvC0yUmTGFvFnTbcskepLMaBPrYGHM8lrCF21Enei1OuwyMgIphWBFsZ0VuRGzRJJFuCnpSmYSr2CPM8bU+h8fA8Y5lMsXka1AP/BDY8zTThWKyEpgJUC+J738NafBxo73t9Nf10DVF65GRJIeXY8msYbkziiMpZ7gKN2JA4tPfv1qdF3z0PrjEflwU9KVzCSiYIvIi8B4m1P/GPzEGGNExGmS2TRjzBERmQm8LCLbjDEf2hU0xtwP3A9Qlj3Gqb6U4HawsWHzOrKqKyicd5ZtWafoWsXaHcmeURhNPXY2SCjxRLCJ/BagU9JHHhEF2xhzpdM5ETkuIhOMMbUiMgGoc6jjiP/3PhFZD5wL2Ar2cBHrRrtdBz6i98MDVNy+AsnKSmpmyGgUa0jcV/tE1BNp3Q+fBzorcpm8uS4mkUz0LjC6uNPIIl4zaxVwp//xncCfQwuISIWI5PkfVwMfB3bG2W7KcRpsbNjyEp6iQoouWmDzqsRF16NVrME+VS2Wr/aJqMcpGg+kFLaPzae4rptsf4ZGIEIuOt4ZV/06wUWB+AX7h8ASEdkDXOl/jojMF5Hf+MucAWwVkfeAdVgedloJdqyDjb11x+l6dyfFl1+AJy/XdXStYh0dHeMKaZhdSn+eJ65c60TU4xSNB2ZWFjb1OkbI8davKHENOhpjGoArbI5vBT7nf/w6cHY87Qw3TtF146svI7k5lFz+cdvXJSIzZLSLdYBEfbWPt55IA3nxRsg6UKiEQ6em2+Amuu5rbqKt5i2KL1lEVknRkOg6EVaIinX6EWkgL16fXAcKlXCMesGONNjolMrXtHEdIJQuvcR1WyrWI4NwUXoiImQdKFScUGMsCgJ2SH9bK61vbaLognPJrix3HV27RcU6c0mU365kPiKyVER2i8he/0zw0PNfFZGdIlIjIi+JiPO2Sn5GfYQdihs7pGnjeky/l9Jll7mu1210rWKd+WiErIhIFvALYAlwGNgiIqtCEi7eAeYbYzpF5G+AHwG3hqt3VEfY0dghA9F1exstW16j8Py55IyrdhVdp3Lnc0VR0oKFwF5jzD5jTC/wKNZSHgMYY9YZYwL5npuAyZEq1Qg7CDfRdfPG9Zi+fsquGZIcEzcaXSvK8JHV66XoYIfb4tX+5TYC3O+fpR1gEnAo6Plh4Pww9d0NrI3U6KgV7Fij6+Y3N1K4cC4548ckNLpWsVaUjKLeGDM/ERWJyF8B84GIGQyjVrBjoWnDy5h+L2XXDo2uVawVRQniCDAl6Plk/7FBiMiVWOsyXWKM6YlU6aj2sIMJtkPsouu+lmaa33yNogvm2UbXsaJirSgjki3AbBGZISK5wG1YS3kMICLnAv8FrDDG2K7DFMqoFOxYFnpqXPc8GJPQ6FrFWlFGJsaYfuBe4DlgF/C4MWaHiHxfRAI7bv0YKAaeEJF3RWSVQ3UDqCVC5Oi6t76O1rffpPjSRWRXV0aMrlWsFUUxxqwB1oQc+07QY8eVUJ0YdRF2LNF13aurkZxsyj5xeUImyahYK4oSC6NOsEOJFF13HdpP11vbKLlqMVllJYNeqznXiqKkklEl2NFG18YYTry0Ck9pMaVXL1YrRFGUYWVUCXYokaLr9p019OzdT/l1V+HJzxv0WrVCFEVJNaNGsKONrn19fdS/+Aw5k8ZTdPGCQdF1LFaIirWiKPEyagQ7lEjRdfPrG+g/0UjFrddQOTH8dFUVa0VRUsGoFWw7Bqagt7bQuOEFCubOIX/O7EFlQqNrFWtFUVJFXIItIreIyA4R8YmI47z6SOvCJptQO8Qpug5Q/9wzGK+P8k9eE9EKCYeKtaIoiSTeCHs7cCOwwalA0Lqwy4A5wO0iMifOdhPOQBrfRx/S9t7blF69mJyxVWFfEy66VrFWFCXRxLsJ7y4AEQlXbGBdWH/ZwLqwKdk5PZro2ni9HF/7JFlVFZQuvyxsdK351oqipJpUeNh268JGP90wiQSi66bXX6Hv6HEqbl9B1bSTC2epFaIoSjoQMcIWkReB8Tan/tEY8+dEd0hEVgIrAfI97jcutSOa6LqvqZHGdc9RMHcOhXPnAM6TZNQKURRlOIgo2LEsUBKCq3Vhg9q7H7gfoCx7jIm10XB516FpfMYYjj33BIhQcfuKmK0QFWtFUZJJKiyRiOvCpgK77b8CVkhbzdt0b99N2Q1XM+bMk//DVKwVRUkn4k3ru0FEDgMXAKtF5Dn/8Ykisgac14WNr9vhicYK6e9o58Tap8mdMYWSyy90rFPFWlGU4SbeLJE/AX+yOX4UWB70fMi6sMNNILo+/tJT+Lq6qbzr5kEzGt0ONKpYK4qSKkbcBgZuouvgxZ0633yPsuuWMO68k+XcWiEq1ooygujpQz5yHF5LC0bN1PRQK8Tb0c7xZ54kZ+pESpddNnBcxVpRlHRlRAl2uOg6wEBWyAtP4Ovsouqzn6RycqdtfSrWiqKkEyNKsIMJN9DY9t7bdG7dZlkhC07meseyxrWiKEqqGDGC7Wa9687x0NfcRN3qp8g9ZRrT7pw3cE6tEEVR0p0RIdhuBxqNz0ftMw+Dz0f1525FsqzLV7FWFCUTGBGC7URoVkjTq+vo2b2Pik9dx5izc21fo2KtKEq6kvGC7WagEaD70AEaXl5L4fxzmHzjqQPHg6NrFWtFUdKZjBfsYJysEG93F0efeoisslJmfv2qgeVgVawVRckkMlqwnQYaB/nWxnDs2cfwNjZTvfJ2sorzARVrRVEyj4wVbCcrJDSFr2XLG3RuraHs+qsYf5G1g4yb9D0Va0VR0o2MFexgnCbIdB89zIk1T5N/5qlMu+s829faRdcq1oqipCMZKdhurBBvVxe1TzxAVkkRp/yvTyAed761irWiKOlKxgl2JCtkIN969cP0NzZTfc8dZJdZZVSsFUXJZDJOsINxSuFrevVlut7dSfktn2D8xysBFWtFUTKfjBLs4OjaKYWvY89uGl5cS+HCuUy94xxAxVpRlJFBxgi2G9+6r7GBY08+RM7Eccz8eyvfWsVaUZSRQsYIdjB2vrWvt4cjj/8OYwynfO9GsvIHTz1XsVYUJdPJCMF2skIGzhtD7Zo/0HfkGNO/eT15E4b61qGoWCuKkmnEuwnvLSKyQ0R8IjI/TLn9IrJNRN4Vka3RtOHGCmlc/wKdW7dRfvMySs87BQjvW6tYK4qSbERkqYjsFpG9IvItm/N5IvKY//xmEZkeqc54I+ztwI3ABhdlLzPGzDXGOAr7EPJyBj21s0Lad9TQ+NKzFF4wj6mfORdQsVYUZXgRkSzgF8AyYA5wu4jMCSl2N9BkjJkF/Dvwr5HqjUuwjTG7jDG746nDLXZiDdC8eyu5M6dwyjciDzKqWCuKkiIWAnuNMfuMMb3Ao8B1IWWuA37vf/wkcIUEVqZzQIwxcfdMRNYDXzfG2NodIvIR0AQY4L+MMfeHqWslsNL/9CysKH44qQbqh7kPkB79SIc+QHr0Ix36ANqPANOMMWPiqUBEnsW6DjfkA91Bz+8P1jURuRlYaoz5nP/5p4HzjTH3BpXZ7i9z2P/8Q38Zx/uY7eIiXgTG25z6R2PMnyO93s9FxpgjIjIWeEFE3jfG2Noo/ou+39/21qgslCSQDn1Il36kQx/SpR/p0AftR2Ixxiwd7j5EIqJgG2OujLcRY8wR/+86EfkT1tcFN763oihKJnIEmBL0fLL/mF2ZwyKSDZQBDeEqTXpan4gUiUhJ4DFwFcNvcyiKoiSTLcBsEZkhIrnAbcCqkDKrgDv9j28GXjYRPOp40/puEJHDwAXAahF5zn98oois8RcbB2wUkfeAN4HVxphnXTbh6HWnkHToA6RHP9KhD5Ae/UiHPoD2Iy0xxvQD9wLPAbuAx40xO0Tk+yKywl/st0CViOwFvgoMSf0LJSGDjoqiKEryyYiZjoqiKIoKtqIoSsaQNoKdimnuCe5H2GmnCehHpYi8ICJ7/L8rHMp5/ffiXREJHdSIte2ET6lNUj/uEpETQdf/uST04XciUufPmbU7LyLyM38fa0Rk3jD04VIRaQm6D99JQh+miMg6Ednp/3x8yaZM0u/FqMcYkxY/wBnAacB6YH6YcvuB6uHsB5AFfAjMBHKB94A5Ce7Hj4Bv+R9/C/hXh3LtCW434rUBfwv8yv/4NuCxJLwPbvpxF3Bfkv8uFwPzgO0O55cDawEBFgGbh6EPlwJ/SfJ9mADM8z8uAT6weT+Sfi9G+0/aRNgmhdPcE9APN9NO4yV42urvgesTXL8TSZlSm6R+JB1jTfBqDFPkOuBBY7EJKBeRCSnuQ9IxxtQaY972P27DynwIXZkt6fditJM2gh0FBnheRN7yT2MfDiYBh4KeH2boH2+8jDPG1PofH8NKj7QjX0S2isgmEbk+Ae26ubaBMsZKX2oBqhLQdrT9ALjJ//X7SRGZYnM+2aTib8ENF4jIeyKyVkTOTGZDfgvsXGBzyKl0uRcjlogzHRNJqqe5J7kfcROuH8FPjDFGRJzyL6f578dM4GUR2WaM+TDRfU1TngEeMcb0iMgXsKL+y4e5T8PB21h/B+0ishx4GpidjIZEpBh4CviyMaY1GW0ozqRUsE2aTHNPQD/cTDuNqx8iclxEJhhjav1fK+sc6gjcj31iLcJ1Lpb3GytJmVKbjH4YY4Lb/A2W759qEvK3EA/BwmmMWSMi/yki1SbMIkKxICI5WGL9sDHmjzZFhv1ejHQyyhKR9Jnm7mbaabwET1u9ExgS+YtIhYjk+R9XAx8HdsbZblKm1CajHyH+6AosXzXVrAI+48+QWAS0BFlZKUFExgfGEERkIdbnOqH/QP31/xbYZYz5iUOxYb8XI57hHvUM/AA3YHlePcBx4Dn/8YnAGv/jmVjZAu8BO7AsjJT3w/98OdZI+YdJ6kcV8BKwB3gRqPQfnw/8xv/4QmCb/35sA+5OUNtDrg34PrDC/zgfeALYi7XcwMwk/U1E6scP/H8H7wHrgNOT0IdHgFqgz/93cTdwD3CP/7xgLVT/of89cMxwSmIf7g26D5uAC5PQh4uwxo9qgHf9P8tTfS9G+49OTVcURckQMsoSURRFGc2oYCuKomQIKtiKoigZggq2oihKhqCCrSiKkiGoYCuKomQIKtiKoigZwv8DqetHho6IFOcAAAAASUVORK5CYII=", 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", 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", 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", 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", 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", 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "for batch_size in [1,2,5,10,20,25]:\n", - " # Generate Features from Data\n", - "\n", - " # change this to play arround with feature functions\n", - " #feature_fn = affine_features\n", - " #feature_fn = quad_features\n", - " feature_fn = cubic_features\n", - " features = feature_fn(samples)\n", - "\n", - " num_iterations = 25\n", - "\n", - " w_bce, l, l_info = minimize_with_sgd(features, labels, np.zeros(features.shape[1]),\n", - " schedule=(lambda t: 0.25),\n", - " num_iterations=num_iterations,\n", - " batch_size=batch_size)\n", - " print(\"Final loss\", l)\n", - "\n", - " plt.figure()\n", - " plt.title(\"Cross Entropy Loss\")\n", - " plt.grid(\"on\")\n", - " plt.xlabel(\"Update Steps\")\n", - " plt.ylabel(\"Negative Bernoulli Log-Likelihood\")\n", - " plt.semilogy(l_info[1])\n", - "\n", - " plt.figure()\n", - " plt.title(\"Bernoulli LL Solution\")\n", - " pred_grid = np.reshape(sigmoid(feature_fn(flat_plt_grid) @ w_bce), plt_grid_shape)\n", - "\n", - " plt.contourf(plt_grid[..., 0], plt_grid[..., 1], pred_grid, levels=10)\n", - " plt.colorbar()\n", - " #This is just a very hacky way to get a black line at the decision boundary: \n", - " plt.contour(plt_grid[..., 0], plt_grid[..., 1], pred_grid, levels=[0, 0.5], colors=[\"k\"])\n", - "\n", - " s0 = plt.scatter(c0_samples[..., 0], c0_samples[..., 1], color=\"blue\")\n", - " s1 = plt.scatter(c1_samples[..., 0], c1_samples[..., 1], color=\"orange\")\n", - " plt.legend([s0, s1], [\"c0\", \"c1\"])" - ] } ], "metadata": { @@ -1507,7 +1304,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.11" + "version": "3.8.8" } }, "nbformat": 4, diff --git a/exercise.pdf b/exercise.pdf new file mode 100644 index 0000000..bef7ee3 Binary files /dev/null and b/exercise.pdf differ