{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 1. XOR with Theano" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's explore the XOR problem with different activation functions and input ranges." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from conx import Network\n", "import numpy as np\n", "import theano.tensor as T\n", "import theano" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "from matplotlib import cm\n", "from matplotlib.ticker import LinearLocator, FormatStrFormatter\n", "\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1.1 sigmoid" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, with the sigmoid. Theano comes with a sigmoid function:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "sigmoid = lambda inputs: T.nnet.sigmoid(inputs) # or just use t.nnet.sigmoid" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's see the output of that function. However, you can't just call a Theano function in Python." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "sigmoid.0" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sigmoid([0.5])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you see, you just get back a label. You need to generate Python code by turning the Theano function into a Python function:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "inputs = T.vector(dtype=theano.config.floatX)\n", "pf = theano.function([inputs], sigmoid(inputs))" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 0.62245933])" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pf([0.5])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To see the output of a range of values, let's plot a range of " ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def plot_tf(tf, start, stop, title):\n", " \"\"\"\n", " Plot a Theano function by turning it into a Python function,\n", " applied to range(start, stop).\n", " \"\"\"\n", " inputs = T.vector(dtype=theano.config.floatX)\n", " pf = theano.function([inputs], tf(inputs))\n", " plot_pf(pf, start, stop, title)\n", " \n", "def plot_pf(pf, start, stop, title):\n", " \"\"\"\n", " Plot a Python function, applied to a range(start, stop)\n", " \"\"\"\n", " res = (stop - start) / 100\n", " plt.plot(np.arange(start, stop, res), pf(np.arange(start, stop, res)))\n", " plt.title(title)\n", " plt.xlabel(\"input\")\n", " plt.ylabel(\"ouput\")" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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uNK9XPdZliUgCUigksF178hkxZSGvfLWEBjWrMvKKHpzbtaluUSEih0yhkKA+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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_tf(sigmoid, -1, 1, \"sigmoid(x)\")" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "x = T.dscalar('x')\n", "y = T.nnet.sigmoid(x)\n", "dx = theano.function([x], T.grad(y, x))\n", "pf = lambda xs: [dx(x) for x in xs]" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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LwFwRGSwig4MZ0BxbVl4Bby3M5tITOtGzTVO34xhTZ12S2pGebeL464y1FJXa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\nMR8s3eLK+1ux8GHz7kN8tnI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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_pf(pf, -1, 1, \"d/dx sigmoid(x)\")" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "net = Network(2, 2, 1, activation_function=sigmoid) # or, T.nnet.sigmoid" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Network:--------------------------------------------------\n", "Layer 0:\n", " Type: \n", " Act : at 0x7f03e4c319d8>\n", " In : 2\n", " Out : 2\n", "--------------------------------------------------\n", "Layer 1:\n", " Type: \n", " Act : at 0x7f03e4c319d8>\n", " In : 2\n", " Out : 1\n", "--------------------------------------------------" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "net" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# input low and high values:\n", "ilo = -1\n", "ihi = 1\n", "# output low and high values:\n", "olo = 0\n", "ohi = 1" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [], "source": [ "net.set_inputs([[[ilo, ilo], [olo]], [[ihi, ihi], [olo]], [[ilo, ihi], [ohi]], [[ihi, ilo], [ohi]]])" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def test_net(net, res=20):\n", " m = np.zeros((res, res))\n", " step = (ihi - ilo)/res\n", " for i in range(res):\n", " for j in range(res):\n", " m[i][j] = net.propagate([ilo + i * step, ilo + j * step])\n", " plt.matshow(m, \n", " origin=\"lower\", # lower puts 0,0 bottom left\n", " extent=[ilo,ihi,ilo,ihi], # tick label ranges\n", " cmap=cm.coolwarm,\n", " interpolation=\"none\")\n", " plt.xlabel(\"input(0)\")\n", " plt.ylabel(\"input(1)\")\n", " plt.colorbar()\n", " \n", "def plot_net(net, res=20, angle=45):\n", " fig = plt.figure()\n", " ax = fig.gca(projection='3d')\n", "\n", " # Make data.\n", " X = np.arange(ilo, ihi, (ihi - ilo)/res)\n", " Y = np.arange(ilo, ihi, (ihi - ilo)/res)\n", "\n", " Z = np.array([[net.propagate([x, y])[0] for x in X] for y in Y])\n", " X, Y = np.meshgrid(X, Y)\n", "\n", " # Plot the surface.\n", " surf = ax.plot_surface(X, Y, Z, cmap=cm.coolwarm,\n", " linewidth=0, antialiased=False)\n", "\n", " # Customize the z axis.\n", " ax.set_zlim(olo - 0.01, ohi + 0.01)\n", " ax.zaxis.set_major_locator(LinearLocator(10))\n", " ax.zaxis.set_major_formatter(FormatStrFormatter('%.02f'))\n", " ax.view_init(30, angle) # tilt, rotate\n", "\n", " # Add a color bar which maps values to colors.\n", " fig.colorbar(surf, shrink=0.5, aspect=5)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": true }, "outputs": [], "source": [ "net.reset()" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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dh8nJSXi+9a+wARBKKwnJlT0Ws2F2ldoAgPPrX0ISwEv/+DnY7Xb4/f6S6XGV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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "test_net(net)\n", "plot_net(net)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--------------------------------------------------\n", "Training for max trails: 5000 ...\n", "Epoch: 0 TSS error: 1.02393903616 %correct: 0.0\n", "Epoch: 500 TSS error: 0.678976924574 %correct: 0.25\n", "Epoch: 1000 TSS error: 0.67275290586 %correct: 0.25\n", "Epoch: 1500 TSS error: 0.669901322389 %correct: 0.25\n", "Epoch: 2000 TSS error: 0.669071209818 %correct: 0.25\n", "Epoch: 2500 TSS error: 0.688990533867 %correct: 0.25\n", "Epoch: 3000 TSS error: 0.669251026502 %correct: 0.25\n", "Epoch: 3500 TSS error: 0.669657382648 %correct: 0.25\n", "Epoch: 4000 TSS error: 0.671333961616 %correct: 0.25\n", "Epoch: 4500 TSS error: 0.667725866593 %correct: 0.25\n", "Epoch: 5000 TSS error: 0.680478796455 %correct: 0.25\n", "--------------------------------------------------\n", "Epoch: 5000 TSS error: 0.680478796455 %correct: 0.25\n", "--------------------------------------------------\n", "Training for max trails: 5000 ...\n", "Epoch: 0 TSS error: 1.26418435851 %correct: 0.0\n", "--------------------------------------------------\n", "Epoch: 189 TSS error: 0.0331210263205 %correct: 1.0\n" ] } ], "source": [ "while net.last_cv_percent != 1.0:\n", " net.reset()\n", " net.train()" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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Nic4RC71ez0aaLy4uwuv1YmhoiB2pEqq25WjycEe5+Im+LperJG+ElW/+Q87X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\nP5dgHCqpkgU7AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "test_net(net)\n", "plot_net(net)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1.2 sigmoid with reduced input range" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": true }, "outputs": [], "source": [ "net = Network(2, 2, 1, activation_function=sigmoid)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# input low and high values:\n", "ilo = -0.5\n", "ihi = 0.5\n", "# output low and high values:\n", "olo = 0\n", "ohi = 1" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": true }, "outputs": [], "source": [ "net.set_inputs([[[ilo, ilo], [olo]], [[ihi, ihi], [olo]], [[ilo, ihi], [ohi]], [[ihi, ilo], [ohi]]])" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": true }, "outputs": [], "source": [ "net.reset()" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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C5HI5Pm4vbr8VjUb5qkh2sWhra9NS895EeMORs5CQmacFUxvz8/OIRCKYm5uDw+FYsQ1m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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "test_net(net)\n", "plot_net(net)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--------------------------------------------------\n", "Training for max trails: 5000 ...\n", "Epoch: 0 TSS error: 1.3411372012 %correct: 0.0\n", "--------------------------------------------------\n", "Epoch: 388 TSS error: 0.0369984286108 %correct: 1.0\n" ] } ], "source": [ "while net.last_cv_percent != 1.0:\n", " net.reset()\n", " net.train()" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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Wp4v7FssT0uNPHYefkv0YLBZL2VVJmwqGgc6wKY9tBkA752s/SmWCvwJwAwAQ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "test_net(net)\n", "plot_net(net)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--------------------------------------------------\n", "Test:\n", "******************************\n", "Input : -0.5, 0.5 \n", "Output: 0.9 \n", "Target: 1.0 Correct\n", "******************************\n", "Input : 0.5,-0.5 \n", "Output: 0.9 \n", "Target: 1.0 Correct\n", "******************************\n", "Input : 0.5, 0.5 \n", "Output: 0.1 \n", "Target: 0.0 Correct\n", "******************************\n", "Input : -0.5,-0.5 \n", "Output: 0.1 \n", "Target: 0.0 Correct\n", "--------------------------------------------------\n", "Epoch: 388 TSS error: 0.0369984286108 %correct: 1.0\n" ] } ], "source": [ "net.test()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1.3 sigmoid with offset" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's try an adjusted sigmoid that is moved over a bit:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": true }, "outputs": [], "source": [ "sigmoid_offset = lambda inputs: T.nnet.sigmoid(inputs - 0.5)" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_tf(sigmoid_offset, 0, 1, \"sigmoid(x - 0.5)\")" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": true }, "outputs": [], "source": [ "x = T.dscalar('x')\n", "y = T.nnet.sigmoid(x - 0.5)\n", "dx = theano.function([x], T.grad(y, x))\n", "pf = lambda xs: [dx(x) for x in xs]" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": 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LZ093U0fM2bCfMS8tpmFkGDNuH0RqUjO3QzJATKNIpk0YwPBOLfnrx2t59IuNNqKrDvFb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\ndInl9UXbySsocjucM2KJpIZ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IB1DVF/D0BV0KZAB5wE1Vfs9a/jMzxhjjMru1ZYwxpkos\nkRhjjKkSSyTGGGOqxBKJMcaYKrFEYowxpkoskRhTjUTkez9cM0lErq/u6xpTXSyRGFONVHWQHy6b\nBFgiMQHLEokx1UhETjjfh4nIfBH5QEQ2isjbpatFi8h2EXlURNaIyFIRSXaOvyYiV5e9FvAIMERE\nVjkT54wJKJZIjPGf3sBv8exz0R4Y7HXuqKp2B54FnqzkOpOAb1W1l6o+4ZdIjakCSyTG+M9SVc1y\nVpJdhecWVal3vb4PrOnAjKlOlkiM8R/v1ZKL+d+17bScx0U4/yed22ARfo3OmGpiicQYd1zr9X2R\n83g70Nd5PBpnoT3gOJ7l7Y0JSLb6rzHuaCoi6XhaLWOcYy8Bn4jIauALINc5ng4UOcdfs34SE2hs\n9V9japizYVaqqh5wOxZjqoPd2jLGGFMl1iIxxhhTJdYiMcYYUyWWSIwxxlSJJRJjjDFVYonEGGNM\nlVgiMcYYUyX/D5BBMCEpF7yeAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_pf(pf, 0, 1, \"d/dx sigmoid(x - 0.5)\")" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": true }, "outputs": [], "source": [ "net = Network(2, 2, 1, activation_function=sigmoid_offset)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# input low and high values:\n", "ilo = 0\n", "ihi = 1\n", "# output low and high values:\n", "olo = 0\n", "ohi = 1" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": true }, "outputs": [], "source": [ "net.set_inputs([[[ilo, ilo], [olo]], [[ihi, ihi], [olo]], [[ilo, ihi], [ohi]], [[ihi, ilo], [ohi]]])" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--------------------------------------------------\n", "Training for max trails: 5000 ...\n", "Epoch: 0 TSS error: 1.00345297145 %correct: 0.0\n", "Epoch: 500 TSS error: 0.034691671426 %correct: 0.75\n", "--------------------------------------------------\n", "Epoch: 505 TSS error: 0.0329752585837 %correct: 1.0\n" ] } ], "source": [ "while net.last_cv_percent != 1.0:\n", " net.reset()\n", " net.train()" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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KJ4mqhVzmp4UR0dZi/ar3Zl0oP9QAa++1LafbrgRCKuEeOHCAVCrF+fPnmZyc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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "test_net(net)\n", "plot_net(net, angle=-45)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--------------------------------------------------\n", "Test:\n", "******************************\n", "Input : 1.0, 0.0 \n", "Output: 0.9 \n", "Target: 1.0 Correct\n", "******************************\n", "Input : 0.0, 0.0 \n", "Output: 0.1 \n", "Target: 0.0 Correct\n", "******************************\n", "Input : 1.0, 1.0 \n", "Output: 0.1 \n", "Target: 0.0 Correct\n", "******************************\n", "Input : 0.0, 1.0 \n", "Output: 0.9 \n", "Target: 1.0 Correct\n", "--------------------------------------------------\n", "Epoch: 505 TSS error: 0.0329752585837 %correct: 1.0\n" ] } ], "source": [ "net.test()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1.4 tanh" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/png": 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SdCwROUxBFY2G7r4awN1Xm1mDgg3MrALwN+Bq4MyDbczMBgGDADIyNGpbsvlu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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_tf(T.tanh, -1 , 1, \"tanh(x)\")" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": true }, "outputs": [], "source": [ "x = T.dscalar('x')\n", "y = T.tanh(x)\n", "dx = theano.function([x], T.grad(y, x))\n", "pf = lambda xs: [dx(x) for x in xs]" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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p3Zp+7RP4y6er2Xe42O04IcffI4URwNXAi8DbwHBVfdqxVKZGnp61ltz8QiaN\nSiMszDqXTf0mIkwalUbeoSL+aZPx1Ji/RWE0MAVIBCKBV0XkFsdSGb9l5x7gle/Wc0m/NvRu28Tt\nOMYEhfTWjRk7oB2vz93A2h02fmdN+FsUfg2cqKoPqOoE4CTgBudiGX89+FEGMRHh3DHMJs8xxtft\n53QlNiqcSR9m2GQ8NeBvURA8l6IeUUrlN6eZWjRr9Q5mZ+by+7NSSIqPdjuOMUGlmXcynu+ydvF5\nxg6344QMf4vCq8CPIjJRRCYC84CXHUtlqlVYUsrkDzPonNSQq0/q4HYcY4LSlSe2p2tynE3GUwP+\n3qfwd+BXQB6wB/iVqj7lZDBTtVe+28CG3YeYMDKNqAibPMeYykSEhzFxVBo5ew7z4jfZbscJCX4N\ncwGgqj8BPzmYxfhpx/4Cnp61lrNTkxncNcntOMYEtZM7J3JezxY8OyeLi/q1oVWTBm5HCmr2ETME\nPfbJakrKlPvPT62+sTGGe87rgSo8MnOV21GCnhWFELNwQx7vLd7Cjad1ol0zmzzHGH+0SYjlt2d0\n5qNl25iXvdvtOEHNikIIKS1TJn64khaNYrh5SJVDTxljKrhpcGdaN2nAxBkrKSm1yXiOxopCCJm2\ncDMrtuzn7vO6Exvld3eQMQaIiQznvvN7sHp7Pm/O3+R2nKBlRSFE7DtUzF8/y2Rgx6aMOqGV23GM\nCUnD0ltwcudmPPH5GvIOFrkdJyhZUQgRT365hr2Hipg4Ms0mzzHmGIkIE0elcaCwhCc+z3Q7TlCy\nohACVm/fz5R5G7liUHtSWzVyO44xIa1rcjxXn9SeN+dvYsWWfW7HCTpWFIKcqjJxxkriYyK47eyu\nbscxpk74w1ldSYiNYtKHK21cpAqsKAS5mcu3My87jz+d042EhlFuxzGmTmjcIJI7zu3Ggg17+GDJ\n0aaOr5+sKASxQ0UlPPxxBj1aNuLyge3cjmNMnXJp/7b0atOYRz9ZxcHCErfjBA0rCkHs+Tnr2Lqv\ngEmj0gi3yXOMCaiwME+n8479hTw9K8vtOEHDikKQ2rT7EP/+JpvRvVsxsGNTt+MYUyf1bZfARX3b\n8PJ32WTnHnA7TlCwohCkJn+UQUSYcPfwHm5HMaZOu3N4N6Ijwpn8kU3GA1YUgtKczJ18uWoHtwxN\noUXjGLfjGFOnNY+P4Q9npTAnM5evVu10O47rrCgEmaKSMiZ/mEHHxIZcd2oHt+MYUy9cc3IHujSP\nY7JNxmPq99MWAAAUj0lEQVRFIdi88v16sncdZMLIVKIjwt2OY0y9EBkexsSRaWzKO8RL39bvyXis\nKASR7fsK+OdXazmrRzJDujV3O44x9cqpKYkMT2/BM7Oz2LL3sNtxXONoURCRYSKSKSJZInLXUdpc\nKiIZIrJSRN50Mk+we/STVZSUKRNG2OQ5xrjh3vM9F3Y88nH9nYzHsaIgIuHAs8BwIBUYJyKpFdqk\nAHcDp6hqGvAHp/IEux+zd/PBkq385nSbPMcYt7RJiOXmM7rw8fJtfJ+1y+04rnDySGEgkKWq2apa\nBEwFRldocwPwrKruAVDVetn1X1JaxgMzVtKqcQw3n9HF7TjG1Gs3nt6Jdk1jmThjJcX1cDIeJ4tC\na2Czz/Mc7zJfXYGuIvK9iMwTkWEO5gla/5m3kdXb87l/RCoNoqxz2Rg3xUSGM2FEKmt3HuD1uRvc\njlPrnCwKlY3LUPHOkAggBTgDGAe8JCJNfrEhkRtFZKGILMzNzQ14UDftOlDIE1+s4bSURIalt3A7\njjEGOLNHc4Z0S+KpL9eyc3+B23FqlZNFIQdo6/O8DVBxOMIc4ANVLVbV9UAmniLxM6r6gqr2V9X+\nSUlJjgV2w+OfrqaguJQHbPIcY4KGiPDAyDSKSsp49JPVbsepVU4WhQVAioh0FJEoYCwwo0Kb94Eh\nACKSiOd0Ur25SHjxpj1MW5jDdad2pEvzOLfjGGN8dEhsyI2nd+K9xVuYvz7P7Ti1xrGioKolwHjg\nM2AVME1VV4rIZBEZ5W32GbBbRDKA2cCfVXW3U5mCSWmZMuGDlSQ3iuaWob84ODLGBIGbh3SmVeMY\nJnywgpJ60uns6H0KqjpTVbuqamdVfdi7bIKqzvA+VlW9TVVTVbWnqk51Mk8weWv+JpZv2ce956cS\nFx3hdhxjTCVioyK4f0Qqq7fnM2XeRrfj1Aq7o9kFeQeL+OtnmZzUqRkje7V0O44xpgrD0ltwWkoi\nf/98Dbn5hW7HcZwVBRc8/ulqDhaWMHm0dS4bE+xEhEmj0igoKeXRT+r+nc5WFGrZ4k17mLpgM9ed\n2pGU5Hi34xhj/NApKY4bTuvEuz9tYeGGut3pbEWhFpWWKfd/sILm8dHceqZ1LhsTSsYP7UKrxjHc\n937d7nS2olCL3vxxIyu27Oe+Eda5bEyo8e10fuOHutvpbEWhluw6UMhfP8vk5M7WuWxMqBqW3oLT\nuybx9y/W1Nk7na0o1JJHZ67mcHEpk0enW+eyMSHqSKdzUUkZD8+sm53OVhRqwYINefzvpxx+fVon\nu3PZmBDXMbEhNw3uxAdLtjJ3Xd0bXtuKgsOKS8u4//0VtGocwy1DbVhsY+qCm4d0oW3TBkz4YCVF\nJXWr09mKgsNen7uB1dvzmTAyjdgo61w2pi6IiQxn4sg0snYe4OXv1rsdJ6CsKDho277DPPnFGoZ2\nb865acluxzHGBNCZPZI5JzWZf361lpw9h9yOEzBWFBz00EeeOZcn2rDYxtRJD4xKA2DyhxkuJwkc\nKwoO+XpNLh8v38b4IV1szmVj6qjWTRrw+7NS+DxjB1+t2uF2nICwouCAguJSHvhgBZ0SG3Lj4E5u\nxzHGOOi6UzqS0jyOB2as5HBRqdtxjpsVBQc8N2cdG3Yf4sEx6URH2JzLxtRlURFhPDQmnZw9h3l6\n1lq34xw3KwoBti73AP+as44xvVtxSpdEt+MYY2rBoE7NuLhfG174Jps1O/LdjnNcrCgEkKpy33sr\niI4M497zU92OY4ypRXcP705cTAT3vrecsjJ1O84xs6IQQO8v2cIP2bu5c1h3kuKj3Y5jjKlFzeKi\nuXt4dxZs2MP0n3LcjnPMrCgEyN5DRTz00Sp6t23C5QPbuR3HGOOCS/q1ZUCHBB6ZuYq8g0Vuxzkm\nVhQC5C+frmbv4WIeuaAnYWF2T4Ix9VFYmPDwBT05UFDCIyE6YJ4VhQBYsCGPt+Zv5vpTO5LaqpHb\ncYwxLuqaHM+Np3di+qIcfli32+04NWZF4TgVlZRxz7vLad2kAX84y2ZTM8bALUNTaNc0lnvfW05h\nSWjdu2BF4Ti9+G02a3ceYPJoG/DOGOPRICqcB8ekk73rIM/PWed2nBqxonAcNuw6yD+/Wsvw9Bac\n2cMGvDPG/L/BXZMYdUIrnpu9jqydB9yO4zcrCsdIVbnnveVEhYcx0TsoljHG+Lp/RCoxkWHc827o\n3LvgaFEQkWEikikiWSJyVyXrrxWRXBFZ4v36tZN5Aul/P21h7rrd3Dm8O8mNYtyOY4wJQknx0dx7\nfg/mb8hj2sLNbsfxi2NFQUTCgWeB4UAqME5EKrvN921V7e39esmpPIG0+0AhD32cQb/2CXZPgjGm\nSpf2b8ugjk15ZOYqduYXuB2nWk4eKQwEslQ1W1WLgKnAaAffr9Y89PEqDhaW8NiFdk+CMaZqIsIj\nF/akoKSMSSEw74KTRaE14Hu8lONdVtFFIrJMRKaLSFsH8wTEnMydvLd4C78d3JmU5Hi34xhjQkDn\npDhuGdKFj5dtC/p5F5wsCpV9hK7Y0/Ih0EFVewFfAq9XuiGRG0VkoYgszM3NDXBM/x0sLOHe91bQ\nOakhvxvaxbUcxpjQ85vBnemWHM99768gv6DY7ThH5WRRyAF8P/m3Abb6NlDV3apa6H36ItCvsg2p\n6guq2l9V+yclJTkS1h9PfL6GLXsP85eLetk8CcaYGomKCOOxi3qyfX8Bf/0s0+04R+VkUVgApIhI\nRxGJAsYCM3wbiEhLn6ejgKAdLGTxpj28Onc9V53Ynv4dmrodxxgTgvq0S+DakzswZd5GFm7IcztO\npRwrCqpaAowHPsPzx36aqq4UkckiMsrb7FYRWSkiS4FbgWudynM8ikrKuPvd5bRoFMMdw7q5HccY\nE8JuP6cbrRo34K53g3MIDEfvU1DVmaraVVU7q+rD3mUTVHWG9/Hdqpqmqieo6hBVXe1knmP1/Jx1\nrN6ez0Nj0omPiXQ7jjEmhDWMjuCRC3uStfMAz8zKcjvOL9gdzdXI3J7PM7PXMrp3KxvKwhgTEIO7\nJnFR3zY8P2cdGVv3ux3nZ6woVKG0TLnjf8uIj4lkwgibXtMYEzj3j+hBk9go7vjfUkpKy9yOU86K\nQhVe/X49SzfvZeKoNJrF2fSaxpjAaRIbxYOj01ixZT8vfrve7TjlrCgcxYZdB/nb55mc1aM5I3u1\nrP4FxhhTQ8N7tmR4egue/HJN0IykakWhEmXe00aR4WE8NKYnIjaUhTHGGZNHpxMbFc4d05dSGgQj\nqVpRqMSUeRuZvz6P+0ek0qKxjYBqjHFOUnw0E0em8dOmvbz6vfunkawoVLBp9yEe+2Q1g7smcUm/\nNm7HMcbUA6N7t+KsHs3562eZrN910NUsVhR8eE4bLSUiTHj0QjttZIypHSLCwxf0JDoijD+/4+5p\nJCsKPv7740bmZedx7/k9aNWkgdtxjDH1SHKjGCaMTGPhxj28NneDazmsKHht2n2IR2au5vSuSVw2\nIOhH8DbG1EEX9W3Nmd2b8/inq8nOdedqJCsKeE4b3T59KRHhwl8ustNGxhh3HJmQJyYynNtdOo1k\nRQF4be4G5q/PY8KIVFo2ttNGxhj3JDeKYdIoz9VIL32bXevvX++LQnbuAR7/bDVndm/OxXa1kTEm\nCIzu3Ypz05J54os1rN2RX6vvXa+LQklpGbdNW0p0RDiP2NVGxpggISI8NKYncdER3DZtKcW1ODZS\nvS4K//p6HUs27+WhMekkN7Kb1IwxwSMpPpqHx6SzfMu+Wh1iu94WhRVb9vHUl2sZ0aslI09o5XYc\nY4z5heE9W3JBn9Y8MzuLZTl7a+U962VRKCwp5U/TlpLQMIoHR6e7HccYY45q4qg0kuKi+ePbSygo\ndn6mtnpZFJ74fA2ZO/J5/KJeJDSMcjuOMcYcVeMGkfz1kl6syz3Iq99vcPz9Ihx/hyDzw7rdvPht\nNpcPaseQ7s3djmOMMdU6LSWJF67qx+BuSY6/V70qCvsLirn9naW0bxrLfef3cDuOMcb47Zy0FrXy\nPvWqKDzwwUq27y9g+k0nERtVr/7pxhjjl3rTp/DRsq28t3gL44d0oU+7BLfjGGNMUKo3RaFxg0jO\nTk1m/NAubkcxxpigVW/OoZyWksRpKc530hhjTCirN0cKxhhjqmdFwRhjTDlHi4KIDBORTBHJEpG7\nqmh3sYioiPR3Mo8xxpiqOVYURCQceBYYDqQC40QktZJ28cCtwI9OZTHGGOMfJ48UBgJZqpqtqkXA\nVGB0Je0eBB4HChzMYowxxg9OFoXWwGaf5zneZeVEpA/QVlU/qmpDInKjiCwUkYW5ubmBT2qMMQZw\ntihUNmNN+YSjIhIGPAn8qboNqeoLqtpfVfsnJdllpcYY4xQni0IO0NbneRtgq8/zeCAdmCMiG4AT\ngRnW2WyMMe4RVa2+1bFsWCQCWAOcCWwBFgCXq+rKo7SfA9yuqgur2W4usPEYYyUCu47xtU4L1mzB\nmguCN5vlqrlgzRasuaDm2dqrarWnWhy7o1lVS0RkPPAZEA68oqorRWQysFBVZxzjdo/5/JGILFTV\noDwSCdZswZoLgjeb5aq5YM0WrLnAuWyODnOhqjOBmRWWTThK2zOczGKMMaZ6dkezMcaYcvWtKLzg\ndoAqBGu2YM0FwZvNctVcsGYL1lzgUDbHOpqNMcaEnvp2pGCMMaYKVhSMMcaUq3NFQUQuEZGVIlJW\n1Y1wRxvBVUQ6isiPIrJWRN4WkagAZmsqIl94t/2FiPxiXlARGSIiS3y+CkRkjHfdayKy3mdd79rK\n5W1X6vPeM3yWO7LP/NxfvUXkB+/PfJmIXOazLuD7q7qRf0Uk2rsPsrz7pIPPuru9yzNF5NzjzVLD\nXLeJSIZ3H30lIu191lX6c62lXNeKSK7P+//aZ9013p/9WhG5JpC5/Mz2pE+uNSKy12edk/vsFRHZ\nKSIrjrJeROSf3tzLRKSvz7rj32eqWqe+gB5AN2AO0P8obcKBdUAnIApYCqR6100Dxnof/wv4bQCz\nPQ7c5X18F/CXato3BfKAWO/z14CLHdhnfuUCDhxluSP7zJ9cQFcgxfu4FbANaOLE/qrq98anzc3A\nv7yPxwJvex+nettHAx292wmvxVxDfH6PfnskV1U/11rKdS3wTCWvbQpke78neB8n1Ga2Cu1vwXOv\nlaP7zLvt04G+wIqjrD8P+ATPUEInAj8Gcp/VuSMFVV2lqpnVNKt0BFcREWAoMN3b7nVgTADjjfZu\n099tXwx8oqqHApihMjXNVc7hfVZtLlVdo6prvY+3AjsBpwbI8mfkX9/M04EzvftoNDBVVQtVdT2Q\n5d1ereRS1dk+v0fz8Aw74zR/R0quzLnAF6qap6p7gC+AYS5mGwe8FcD3PypV/QbPh8GjGQ28oR7z\ngCYi0pIA7bM6VxT8dLQRXJsBe1W1pMLyQElW1W0A3u/Nq2k/ll/+Ij7sPWR8UkSiazlXjHhGq513\n5JQWzu6zGu0vERmI51PfOp/Fgdxf1Y7869vGu0/24dlH/rzWyVy+rsfzSfOIyn6utZnrIu/PaLqI\nHBkvzcn9VaPte0+1dQRm+Sx2ap/542jZA7LPHL2j2Ski8iXQopJV96rqB/5sopJlWsXygGSr4XZa\nAj3xDBNyxN3Adjx/+F4A7gQm12Kudqq6VUQ6AbNEZDmwv5J2fu+zAO+vKcA1qlrmXXzM++tob1PJ\nsor/Vsd+t6rg97ZF5EqgPzDYZ/Evfq6quq6y1zuQ60PgLVUtFJGb8BxlDfXztU5nO2IsMF1VS32W\nObXP/OHo71hIFgVVPes4N3G0EVx34TkUi/B+yqs4sutxZRORHSLSUlW3ef+I7axiU5cC76lqsc+2\nt3kfForIq8DttZnLe3oGVc0WzwCGfYD/cRz7LBC5RKQR8DFwn/dw+si2j3l/HUV1I//6tskRz6CQ\njfGcCvDntU7mQkTOwlNsB6tq4ZHlR/m5BuIPXLW5VHW3z9MXgb/4vPaMCq+dE4BMfmfzMRb4ne8C\nB/eZP46WPSD7rL6ePloApIjnqpkoPD/0GerprZmN51w+wDWAP0ce/prh3aY/2/7FOUzvH8Yj5/HH\nAJVeneBELhFJOHL6RUQSgVOADIf3mT+5ooD38JxjfafCukDvr0p/b6rIfDEwy7uPZgBjxXN1Ukcg\nBZh/nHn8ziWeCa3+DYxS1Z0+yyv9udZirpY+T0cBq7yPPwPO8eZLAM7h50fNjmfz5uuGp9P2B59l\nTu4zf8wArvZehXQisM/7ASgw+8ypHnS3voAL8FTMQmAH8Jl3eStgpk+78/AM7b0Oz2mnI8s74fnP\nmgW8A0QHMFsz4Ctgrfd7U+/y/sBLPu064BluPKzC62cBy/H8cfsPEFdbuYCTve+91Pv9eqf3mZ+5\nrgSKgSU+X72d2l+V/d7gOSU1yvs4xrsPsrz7pJPPa+/1vi4TGB7g3/vqcn3p/f9wZB/NqO7nWku5\nHgVWet9/NtDd57XXefdjFvCrQObyJ5v3+UTgsQqvc3qfvYXnKrpiPH/LrgduAm7yrhfgWW/u5fhc\nZRmIfWbDXBhjjClXX08fGWOMqYQVBWOMMeWsKBhjjClnRcEYY0w5KwrGGGPKWVEwpgoiMteBbXYQ\nkcsDvV1jAsGKgjFVUNWTHdhsB8CKgglKVhSMqYKIHPB+P0NE5ngHbVstIv/13imNiGwQkcdFZLmI\nzBeRLt7lr4nIxRW3BTwGnCaesfj/WNv/JmOqYkXBGP/1Af6AZ26ETniGNzhin6r2BJ4BnqpmO3cB\n36pqb1V90pGkxhwjKwrG+G++quaoZxTWJXhOAx3xls/3k2o7mDGBYkXBGP8V+jwu5eejDGslj0vw\n/h/znmoK2NSuxjjFioIxgXGZz/cjI2puAPp5H48GIr2P84H4WktmTA2E5HwKxgShBBFZhudoYpx3\n2YvAByKyFPgUOOhdvgwo8S5/zfoVTDCxUVKNOU4isgHP8MW73M5izPGy00fGGGPK2ZGCMcaYcnak\nYIwxppwVBWOMMeWsKBhjjClnRcEYY0w5KwrGGGPK/R9b3/qD2b2oCQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_pf(pf, -1, 1, \"d/dx tanh(x)\")" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": true }, "outputs": [], "source": [ "net = Network(2, 2, 1, activation_function=T.tanh)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# input low and high values:\n", "ilo = -1\n", "ihi = 1\n", "# output low and high values:\n", "olo = 0.0\n", "ohi = 1.0" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": true }, "outputs": [], "source": [ "net.set_inputs([[[ilo, ilo], [olo]], [[ihi, ihi], [olo]], [[ilo, ihi], [ohi]], [[ihi, ilo], [ohi]]])" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--------------------------------------------------\n", "Training for max trails: 5000 ...\n", "Epoch: 0 TSS error: 1.35601694569 %correct: 0.0\n", "Epoch: 500 TSS error: 1.0497584127 %correct: 0.5\n", "Epoch: 1000 TSS error: 1.99788034227 %correct: 0.5\n", "Epoch: 1500 TSS error: 1.97620970904 %correct: 0.5\n", "Epoch: 2000 TSS error: 1.03717854626 %correct: 0.5\n", "Epoch: 2500 TSS error: 1.06760419938 %correct: 0.5\n", "Epoch: 3000 TSS error: 1.00107861937 %correct: 0.75\n", "Epoch: 3500 TSS error: 1.99832698118 %correct: 0.5\n", "Epoch: 4000 TSS error: 1.99851846173 %correct: 0.5\n", "Epoch: 4500 TSS error: 1.18594018322 %correct: 0.5\n", "Epoch: 5000 TSS error: 1.02790924608 %correct: 0.5\n", "--------------------------------------------------\n", "Epoch: 5000 TSS error: 1.02790924608 %correct: 0.5\n", "--------------------------------------------------\n", "Training for max trails: 5000 ...\n", "Epoch: 0 TSS error: 1.67123261764 %correct: 0.5\n", "Epoch: 500 TSS error: 1.00085517103 %correct: 0.75\n", "Epoch: 1000 TSS error: 1.02691161508 %correct: 0.5\n", "Epoch: 1500 TSS error: 1.03060197401 %correct: 0.5\n", "Epoch: 2000 TSS error: 1.14150976739 %correct: 0.5\n", "Epoch: 2500 TSS error: 0.974427749965 %correct: 0.0\n", "Epoch: 3000 TSS error: 1.46828651116 %correct: 0.5\n", "Epoch: 3500 TSS error: 1.00522501898 %correct: 0.75\n", "Epoch: 4000 TSS error: 0.782617927377 %correct: 0.0\n", "Epoch: 4500 TSS error: 1.03489121151 %correct: 0.5\n", "Epoch: 5000 TSS error: 1.00155162417 %correct: 0.75\n", "--------------------------------------------------\n", "Epoch: 5000 TSS error: 1.00155162417 %correct: 0.75\n", "--------------------------------------------------\n", "Training for max trails: 5000 ...\n", "Epoch: 0 TSS error: 1.40741435992 %correct: 0.0\n", "Epoch: 500 TSS error: 1.98483819584 %correct: 0.5\n", "Epoch: 1000 TSS error: 1.63849769858 %correct: 0.5\n", "Epoch: 1500 TSS error: 1.00021319038 %correct: 0.75\n", "Epoch: 2000 TSS error: 1.00001045735 %correct: 0.75\n", "Epoch: 2500 TSS error: 1.08207087185 %correct: 0.5\n", "Epoch: 3000 TSS error: 1.04540515196 %correct: 0.5\n", "Epoch: 3500 TSS error: 1.00891531054 %correct: 0.75\n", "Epoch: 4000 TSS error: 1.00088112303 %correct: 0.75\n", "Epoch: 4500 TSS error: 1.29374438011 %correct: 0.5\n", "Epoch: 5000 TSS error: 1.29090185525 %correct: 0.5\n", "--------------------------------------------------\n", "Epoch: 5000 TSS error: 1.29090185525 %correct: 0.5\n", "--------------------------------------------------\n", "Training for max trails: 5000 ...\n", "Epoch: 0 TSS error: 1.60529930503 %correct: 0.25\n", "Epoch: 500 TSS error: 0.999892837673 %correct: 0.75\n", "Epoch: 1000 TSS error: 1.25008613105 %correct: 0.5\n", "Epoch: 1500 TSS error: 1.46142638699 %correct: 0.5\n", "Epoch: 2000 TSS error: 1.00096304073 %correct: 0.75\n", "Epoch: 2500 TSS error: 1.14694250946 %correct: 0.5\n", "Epoch: 3000 TSS error: 1.04044519604 %correct: 0.5\n", "Epoch: 3500 TSS error: 1.00229465127 %correct: 0.75\n", "Epoch: 4000 TSS error: 1.00026115934 %correct: 0.75\n", "Epoch: 4500 TSS error: 1.01934230171 %correct: 0.5\n", "Epoch: 5000 TSS error: 1.16385944429 %correct: 0.5\n", "--------------------------------------------------\n", "Epoch: 5000 TSS error: 1.16385944429 %correct: 0.5\n", "--------------------------------------------------\n", "Training for max trails: 5000 ...\n", "Epoch: 0 TSS error: 1.74079706205 %correct: 0.5\n", "Epoch: 500 TSS error: 1.99999879719 %correct: 0.5\n", "Epoch: 1000 TSS error: 1.99999876785 %correct: 0.5\n", "Epoch: 1500 TSS error: 1.99999873685 %correct: 0.5\n", "Epoch: 2000 TSS error: 1.99999870401 %correct: 0.5\n", "Epoch: 2500 TSS error: 1.99999866916 %correct: 0.5\n", "Epoch: 3000 TSS error: 1.99999863206 %correct: 0.5\n", "Epoch: 3500 TSS error: 1.99999859248 %correct: 0.5\n", "Epoch: 4000 TSS error: 1.99999855013 %correct: 0.5\n", "Epoch: 4500 TSS error: 1.99999850465 %correct: 0.5\n", "Epoch: 5000 TSS error: 1.99999845562 %correct: 0.5\n", "--------------------------------------------------\n", "Epoch: 5000 TSS error: 1.99999845562 %correct: 0.5\n", "--------------------------------------------------\n", "Training for max trails: 5000 ...\n", "Epoch: 0 TSS error: 1.3944448455 %correct: 0.0\n", "Epoch: 500 TSS error: 1.00023820706 %correct: 0.75\n", "Epoch: 1000 TSS error: 1.03330077945 %correct: 0.5\n", "Epoch: 1500 TSS error: 1.05335416673 %correct: 0.5\n", "Epoch: 2000 TSS error: 0.0519813601908 %correct: 0.5\n", "--------------------------------------------------\n", "Epoch: 2029 TSS error: 0.0113536787757 %correct: 1.0\n" ] } ], "source": [ "while net.last_cv_percent != 1.0:\n", " net.reset()\n", " net.train()" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "image/png": 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ZO93nccif/vZvlOpcNNo+++gJKeX+ku84D2v6sqE+APF4XMvDqnHit956K8eP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\nDrFmzRq8vLxYvHgxQ4YMMRl8lMtza2gYKAvq22tXXko/3L592+Ki38b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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "test_net(net)\n", "plot_net(net, angle=-45)" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--------------------------------------------------\n", "Test:\n", "******************************\n", "Input : 1.0, 1.0 \n", "Output: -0.1 \n", "Target: 0.0 Correct\n", "******************************\n", "Input : -1.0,-1.0 \n", "Output: -0.0 \n", "Target: 0.0 Correct\n", "******************************\n", "Input : 1.0,-1.0 \n", "Output: 1.0 \n", "Target: 1.0 Correct\n", "******************************\n", "Input : -1.0, 1.0 \n", "Output: 1.0 \n", "Target: 1.0 Correct\n", "--------------------------------------------------\n", "Epoch: 2029 TSS error: 0.0113536787757 %correct: 1.0\n" ] } ], "source": [ "net.test()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## tanh -1,1 with batch = True\n", "\n", "This seems to work well, but only in batch mode." ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": true }, "outputs": [], "source": [ "net = Network(2, 2, 1, activation_function=T.tanh)\n", "net.batch = True" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# input low and high values:\n", "ilo = -1\n", "ihi = 1\n", "# output low and high values:\n", "olo = -1.0\n", "ohi = 1.0" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": true }, "outputs": [], "source": [ "net.set_inputs([[[ilo, ilo], [olo]], [[ihi, ihi], [olo]], [[ilo, ihi], [ohi]], [[ihi, ilo], [ohi]]])" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--------------------------------------------------\n", "Training for max trails: 5000 ...\n", "Epoch: 0 TSS error: 7.07017426459 %correct: 0.0\n", "--------------------------------------------------\n", "Epoch: 26 TSS error: 0.025058988129 %correct: 1.0\n" ] } ], "source": [ "while net.last_cv_percent != 1.0:\n", " net.reset()\n", " net.train()" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "image/png": 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+n+4UgFbe724A2W90GnsA7OXfQCn1rP0/QQh5FWm9uvIkTQi5qa+vD8lkEp/8\n5CfxN3/zNxn333PPPXjllVcApNPTZmdnEQgEAAD33XcfnnvuOQDA3//93+P227M9pHz09fXhueee\nwzvf+U78+Z//ecU1s91n9yMajWL4j94tej8j51I0aQDc4iEAhE6N4loA8V27uL+LNUywBVDhYlyx\nkErSLDdiZmaGa9IQm/8oBjk1b36WRjQaxfT0NA4dOgSj0QiXy1XQVleqrspvCednXzc3N3NhT/x9\nMDJbOTMCIDdBM3Jmv/NRLEHvPnawuD+qCBiNxuoeqUYIVJorcmxDAHoJIZ0AppEm4o8KNyKEbADQ\nCGA/77ZGABFK6SohxALgbQC+Xs7BSHV3qAE8+sILL8DtdmNwcBC33norNm3axG3z7W9/m/v5u9/9\nLo4ePQoAeO6553DkyBEcO3YMq6uruOGGG3DzzTdnfAGEuOGGGwCshxFVyl/M5hD6fD5QSmH+6Y8R\n+uhf5ty+FE2a7/DgQ/vMP2L2j/5veL1ehMNhyQugUpCPpNnCq9frRTweh91uvywjtqRCp9Ohu7sb\nXV1dCAQCmJ6exsjICGw2G5xOp2h1L8fiF99SJ5xQ7nQ6uewOfhUtBikEzdwekfkIas3ZMgsj7oan\nnsTS0lJFxoFdDSAElZI78oJSmiCE3A3gt0hb8H5EKT1NCPkSgMOU0mfXNv0IgKdo5petH8DjhJAU\nABXSmnSuBUdJkPoKXAPgbFdXVxcA7NmzB88880wGSfPxs5/9DF/84hcBAMPDw7jhhhug0Wig0Wgw\nMDCAF198ER/+8IcL7tRoNGJ5eRn19eKr5aWAJb75fD6OHJnWGwqFkPiX72Pjxo04ck12VxdQmiYt\nROjUKMxbNsDv93PeYjmvFsRIml3aLiwsoLm5GV1dXZe9+7BYyYaNxuIvfAGAy+WCzWbjTt78Krdc\n8Bfc2JXG0aNHEY1GsfH877gqGqn062tudyB0wZs+jtT6a84naJPdjCVfKMOKlyu/A0hXz/z5iexk\nUclkwKoEIZWSOwqCUvo8gOcFtz0o+P0hkcftA7BVzmORStIZq51ut5tLuRPiwoULmJycxDvf+U4A\nwMDAAL74xS/i3nvvRSQSwSuvvJKT3IUwmUwIhUKykDSfpBoaGkTnEKrVaiSTaf1/x6HXcOSa67Mk\njsh8tCSftBg2n3kRiQ3yeacZGEnzw5Rqa2vhcDhku7zNVannqmrLkUf4C1+RSATT09M4cOAANzas\npqam4gnsSqXfAAAgAElEQVR1R44cyQrmKUTQrKpe8oUyHpePoNWPpK2s/Mkq/DhTZjFsaWkpezGX\noWoteARXSu6oKkh9l7PexVxv7FNPPYXbbruNq3Le8573YGhoCNdddx2sViuuvfZayR+ucvI7gHSL\nNBs3pdPpuC68XCQlzHreceg1Lo6UgU/OfE26WpBKpRAMBrGwsIDjx49XJExJ+N6zStfr9SKZTKKp\nqakiVwhAusuQTVphoUvBYBCEEESj0YpVmttnhrKqaEbQfNAUzZA8pBL09t+9hmAwmBGvwMA/WYTD\nYa4V3mQySdLsr1oQFdQ11SHDXUlIJemM1c582RxPPfVUVmPL/fffj/vvvx8A8NGPfhS9vb2Sdsrk\njmLAPMU+nw/JZLIozZVfSTNsfOGlLKJmKOSLBnJX00zykKsTkZ8NbTQaYTAYsG2bbE1PWeDndTDZ\naOvWrTAYDFhYWMDk5CRWVla4HA+5wQ9dCgQCOHPmDI4fP85V3WLB/aWikA7Nr6L5ECPousbsk8jG\nZ9LDI6RMZTEYDNxJKhAIZIwDK9b7Xe0gBCBqpZKWStJDAHonJyfhcrnw1FNP4ac//WnWRqOjo1hc\nXMS1165b2pLJJAKBAJqbm3HixAmcOHEC73nPeyTt1Gw2IxQqXKkywvD5fNy4q3wWslzINTWFTWDJ\nRda5kEuTNm/ZgNCp0aKeSwz8UVesRburqwvRaBQTExNlP78YotEoQqEQ5ubmuIxnfsVMCIHFYoHF\nYkEsFuPmGUYiEczPz8Nqtcpe9anVahiNRmzdupUL7j979mxlRnLxCNncns6nCa65PPhkzSdok92M\nkCeQl6ABaSTNwNfsheO4mFNGasNR1VbhV1CTriZIbQtPEELuvvHGG59LJpP4+Mc/js2bN+PBBx/E\nrl27cOut6fyQn/3sZ9izZ0/Gmx6Px3H99elFOLPZjH/7t3+TTe5g46bm5ua4SdDlBKOzQP5cEKuq\nC1XT+apoBjq2D6SvcIMLkFnBRiIR0VFXcreFM8cDkzNUKhV6e3vzTgsH1ucZtre34w9/+ANHJDab\nDS6XS5aZkez42HvOD+5nbdH8ir5Y2YdV0ZzUIUBQxIa35AsJXB4B0cfyCZr9HaU4mYTjuLxeL44e\nPQqtVsvp15cjgVFupAOWqrKV47JC8iuwttqZgS996UsZvz/00ENZj9PpdBgeLs2BIpbfEYvFOJ2Z\nTRYpd9wUQ6HLY0opnP/+Syx9dt2mJ4wo5aPQwiGDdngIiQIknStxTuyEJFdlJHSEsACn8fHxoie5\nqNVq9Pf3g1Ka16lRKoR/MyGEG8nFiEuYzFe0HCKQNfgEza+iSyFoQJ5J4TU1NVzA1fLyMjweDyYm\nJrgiprGxkXutqnl0VhoE5Co8uciNqj5NmUwmLmh9bm4OPp8PiUTisk8WWV1d5TIs6urq4PjG9xD9\n3F+lj7FMTZpBrJrmj9kCILnJRa5p4VqtVtQRUs5JgB+AxJwa+/fvR2NjY8mLjYXmD/KJi00oHxsb\ng8VigcvlyulDXh5/HQbkrqIBwNxhR3AiewERyE3QsX/4fzE3N4fm5uaM45Z7UrjRaOQm2ywuLmJ6\nehpnzpzholz1en3Vjs4CcEXlDglRpX8B4BtIN7sAwCOU0h+s3fcxAA+s3f5lSumT5RxL1ZJ0KpWC\nx+PBK6+8guXlZXzwgx/kKrnLAf6JIZlMZsWgThd4PCPmYjVpYeKc1WpFf39/Ua6FUtrC2VxKtghY\niWnhQvCdGuVIE8U0s/AnlPv9foyPjyMWi4km8xnOplux6zakT6Z8sqY0BXOHPed+GEHzq2oAcD72\nNILBINekwwjTaDQimUxWpKmIEIKmpiY0NTVxJ/6RkRHE43H09fWVnf1eKRBCoLoCTVZSokrX8O+U\n0rsFj21COhFvF9J5H6+vPXax1OOpSpKenp7GLbfcApvNhvb2dtx7772XRVOjlCKRSGBkZAShUAgW\niwW9vb2i2qnrR7/MGD4rBKugpVTRQFryiAMYCmgyEudKqXLyDaLlg2VXzM7OcnauStjmgPxEKpQm\n2GJjXV2dpJS8UjoO+T5k9jocPnyY22dd4CIMACdx5NSkc1TRQnIGANfj6bmXLE6UEebo6CgSiQS0\nWm3B+NdyIWzBr2oQgFyZSrrYqFI+bgTwEqV0Ye2xLwG4CcDPSj2YogSwF198ERs2bEBPTw8efvjh\nrPufeOIJWK1WbNu2Ddu2bcMPfvAD7r6LFy/iPe95D/r7+7Fp0yacP38+536cTif279+PBx54ADqd\nruIEvbKygsnJSQwNDSEej6OlpQWDg4Po6urKu7iVbyo4IF5FF8KOHTuwadOmDO2wWOR7HEuBO378\nOE6fPo2amhrs2LED/f39FZtGXQzYYuPu3bvR2dmJ2dlZ/OEPf8D4+DgiEXGPcblt4SzDg+3T7/eL\nble3sa/gc5nbWkBFTpCMoPlghLlz504uxnViYgLHjh3D7OyspBNtOaitra3uDkaS1qTl/oe1FDze\nv78S7FksqtQlcoQfIoScIIQ8TQhhFmWpj5WMYgKW1F1dXXjppZdy5ncAwO23345HHnkk6/F33HEH\n7r//frz73e/G8vJy3gUSQgj0en3O4H85wM/tAMBFch47dgwNDQ2Sv/SFKmohTJt6sTQ8LlpNA4B6\n4hAg0emRD4XawsuVjiq96CRMySvUFi5nMp969iwndaR3kCbLlZGxtf2l1m6mnOQROu+Dua0FwfO+\nrOcVI2ghamtrYTKZ0NnZCa1WC4/HI0k3fyMjLXdU5GK/UAqelKjS3wD42VqQ0p0AngTwTomPLQrF\nvALXsHlyQOH8Dj6Gh4eRSCTw7nen7WtSDffFzjksBL72ury8DKvVmpXRzLzSxayyixF1Lo/00vA4\nTJvEm3m0w0OIb8o/5ksKmCYtZRGw1OcXQywWQyQSkb0iz7XYyHzQhRYOSwbPsVG3sY8jaSEYQYtB\nCkEzJJNJaDSajOxrfn5HqTbCfLjSV06FcIXkjoJRpZTSed6v3wfwNd5j3yF47KvlHEwxJO1qbV0/\n7lz5Hb/85S/xu9/9Dn19ffj2t7+N1tZWjI2NoaGhAR/84AcxOTmJP/7jP8bDDz9cUMaQi6QjkQjn\npzabzXn91KzrsNhchIaOFgTOz3K/S7XfiWHMG0efo7QFE7bwGIlEcOTIEdhstoouAjLftsfjQTQa\nhcFgQDgc5ghF6N8uF2KLjaFQCHq9HrFYrGwCWx5/XXIVDWQStLCKLoaggWx3hzC/g28jdLlcsFqt\nZZ1wq3l0FoC03KG5Im3hBaNKCSEOSilbkLgVwJm1n38L4KtrkaUA8B4Af1vOwRTDRAXzO973vvfh\nIx/5CGpra/HYY4/hYx/7GF5++WUkEgm89tprOHr0KNra2nD77bfjiSeewCc+8Ym8OyxH7uBXkUz7\na29vL3hiEGsNlwLDg/8MfOkuAMggazGwapqmUiAiX7LepSHAUZzkIVwE1Gg0GBwcrNiXMBaLYXJy\nEn6/H/X19Whvb4fJZIJWq0UikeAaKmpra+F2u2WXR/iLjVNTU/D5fNxio9vtzrK3yYG6vh5ERjOr\naSFBm9tKOzED+ZtZhDZCj8eD8fHxynRVVgsIuSKVtMSo0k8TQm5FekTWAoC/WHvsAiHkH5AmegD4\nEltELBXFkPQUP/xFLL+jubmZ+/lTn/oU7rvvPgDpqnv79u2cVPKBD3wABw4cKEjS7AsvFSyG1Ov1\nYmVlpSQrWa7W8EKIx+NY+Mu/Q9OPv8pV1WLVNNOk5YCwE5A/6mpoaEj2Ly3Lop6dnYVKpUJbW5uo\nb1ur1XKBQKFQCFNTUwiHwxgfH4fb7ZY0AqwYqNVqNDU1cbMMp6amMkZySe1sXB5/ff0XfuNKKpVB\n0FzjiuBzwido49+JD2bOB6nNLCaTCRs2bEBvby/m5+e5YbPMtVHVi4HFgAC4Qs0shaJKKaV/ixwV\nMqX0RwB+JNexFEPSQ+Pj48iX3+H1ejnP5bPPPov+/n4AwODgIBYXF+H3+2G1WvHyyy9j1658un0m\nCl2WLS8vw+fzYX5+Ho2NjWhra8uKIZWKYirpVCrFnRRWV1dhs61/SYXyB0M+TZqvR+eTPOReBCyE\nSCQCj8eD+fl5NDc3o7GxEVarNeOknAtmsxmbNm3C4uIiDAYDTp48CZVKBbfbLVsIEvt8FLPYmAti\nUkchBM/7Mgh68n13Ynn/fm5ggFTSLLaZRaVScVcT8Xg8I86UhUxJaXyqWlw5uaOqUExbeOL555/H\njTfeiFz5Hf/4j/+IZ599FhqNBk1NTXjiiScApInvm9/8Jt71rneBUoqdO3fiU5/6VMF95vsA8bOS\nWXt4V1dX2V96KZU0P3GusbERHR0d66vvD/4zwmuyR0NHC2iKgqjyeHx5kgd/4VAoeVRqETAXWGiP\nx+OBSqWC0+nkXt+JiYmi5QtCCLf4Fw6HMTU1hbNnz8JiscDtdpeV3iZ2Ei+02CjMKD86GQV36hRJ\ntctVRQsJGgDe8pa3IJFIZJGmzWbL+36V03Go1WrR2tqK1tZWhMNhTE9Pc+3gLpcrp2OpmkmaKG3h\nAABS5Jftsjf7b9u2Da+++irUajV3ue3z+bjK1WazybraPTExAbPZnBUeJJY4ly//gRE1AFGS5lfT\nfF2aX02PmwZh1S1zbhSbzQa73S5JvhkaGsLgYPFOETaQNhAIwGKxwOFwZMkTuV4jIE0WYl/8ffv2\n4brrMnV25l6YmppCIpGA2+2G3W4vmqimpqaQTCbR3t6edztKKebm5jA9PY2VlRWuy7CmpoaTOkgq\nCf3ZI2sPSK1LGqn01VV49Cw7+LVNMr8Spvv/KWu/jDRnZ2fzashir1E5YPLf9PQ09/lxOp3c+5lK\npVBTU1PJPoSyzgA7u1vpH/6n/EMx6m7/3OsFLHhVharsOOTDYDBg//79aGlpweLiIqc9Vio3l19J\nS0mckwJ+NZ1Pkxaz3/l8vrLT/QqBH9pfW1sLp9OJ3t7eildZfPfCysoKN3GloaEBbrdb8kQeqS6F\nXJ2NOvt29CJN0OtPyruaKoOggfRnmGVoCNvfi4kULRb8zG32Hp88eZK7qrFarZct/6YkEAIockf1\nkrTP58NPfvITjI2N4Wtf+xoee+wx9PT0VHyysVqtxsrKCiYmJiQlzuWCgSd7CCHUpPO5PMYbBtHQ\nIP8HlVKKUCgEj8eDpaWlyx5aJURdXR16enrQ3d3NLYatrKzA5XJlZWoIUYqVjB+jeuz8Knc7V0UD\nWQuD5YJ/kojH45wDhlnqKtkgJBxB5vF4MDIygp07d1Zsn7JAkTuKawsHCreGP/bYY9i6dSu2bduG\nt7/97VkxpRcvXoTRaMQ3v/nNvPt59dVXYTAY8La3vQ3f+MY34HK5KkrQyWQSXq8X09PT8Hq90Ov1\n2LlzJzZu3FhyFWvevE7GrOrK5+zQDg/lvE8uxGIxXLx4EYcPH8b09DQcDgcGBwfR3t5eFVUVGxqw\nbds27Ny5E8lkEkNDQzhx4gQWFhZEiawcv++x86voTZzOuG2lW2SijUCLllpF5wJzwOzevZtLqQuH\nwxgZGalYly2DXq9HT08PtmzZUtH9lA1C0iQt97+rDEVV0slkEnv37s3bGv7Rj34Ud955J4C0w+Pe\ne+/Fiy++yN1/zz334Oabby64rz179gAADh06JGvXIR9iiXOsorHbcyecSUXyQ/cCp9er6UJSR6VI\nWthwUsxIMTHIPVQgF2pqatDZ2YmOjg4EAgFMTU1hZGQkq1FGjmnhTOpY6d6Guoxqel0CMfR2Izya\n/f4Z+rrL2jdL5pufn0dTU1NGMp/dbq+Kk+cVwRWUOyREld4L4JNI+6T9AD5OKb2wdl8SwMm1TS9S\nSm8t51iKIulDhw6hUGu42bye/hUOhzMqnF//+tfo6uoqyi4mdYRWMYhGo1w+tDBxzu/3y3pSMG/u\nReh0+osdOjUGoiKiNjzNqYOIb3mr6HOU2oEYjUbh9XqzGk4qAWYBi0ajnHtCLk2bPyqKLxOwRplS\ng4iOTmamwJEMHTr7ORlBC6to1Z/+PyXtnw8WRdDS0oKWlhauOamYNMBSUM3uDgCA6vJXvhKjSo8C\n2EUpjRBC7gLwdQC3r923QimVbcBoUSQ9PT0NKa3hjz76KL71rW8hFovh5ZdfBpAm7K997Wt46aWX\nCkodfJQ7MZyB5UN7vV6kUqmMxg8+Sm1myYXIe/fCjEc5os7lkc6F3qUhjJukuzSYAyYSiWB4eFjy\noIBSwK5EPB4PwuEw7HY7WlpacOHCBUQiEc4CJ2dGslijjM/n40i82EYZodRBxK4QcgyaBcqvorld\nCPJiWDJfe3s7QqEQN6iAXe1drlz1Kwomd1x+FIwqpZS+wtv+AIA/r9TBFEXSYpe4YmfivXv3Yu/e\nvfjpT3+KL3/5y3jyySfxhS98Affcc0/RroxyWsMppZylLBgMShpQW2pbOB+MKD0eDxKJBK7BekUd\nOjUG85bCkZdC/GLIhD8dzP06CBtOamtrsWPHjjL+itxgJ7zz58/DYDBkWMq0Wm2Ge2JoaAhGoxGJ\nREL2rAjWKMM6U0ttlMlwdQCIdm+Hbvz1DKkDAPRrhBweSbs8DH3d2O/cjRYZOilzeaT5DTosZnZk\nZASJRIKzEBabMwNcDaOzAAoCqq6I3GEhhPC6lvA9Sun3eL+LxY2KX+am8QkAL/B+1609fwLAw5TS\nX5dzsEW9u263G4Vaw/nYs2cP7rorrckePHgQTz/9ND7/+c8jEAhApVJBp9Ph7rvvzvl4IF1JF0vS\nq6ur3BxEvV4Ph8OBvr4+SQRRTiUdDofh8XiyOgGTO3dC/ctvFXy85tRBJHJIHgPuBQCZH9h8DSeL\niyUPghAFSxD0eDxYXFzkFvdyVcl890QgEIDf78f+/fu56lpunbW5uRn9/f2SG2XySR06kfZwFqzE\nJ2gA2L17d4a1jZ0gir1ykdLIolKpuIGz0WgUHo8Hhw4dgtFohMvlQlNTU9EnwaqWOwgBrYzcIUdU\naXpDQv4c6SksN/BubqOUegghXQBeJoScpJSeK/VgiyLpwcFBFGoNHx8fR29v+pL+ueee435+7bXX\nuG0eeughGI3GggQNpKslr1d8+gUfrHr1er2Ix+MlL44VW0knEgnMzs7C6/UW7ATk69NCJDdfk3Mf\nQsmDBeywq4P+/n7Z8zAYYrEYfD4ffD4fTCYT3G439Ho9DAaDpNeW6cl1dXUYHByEx+PB4cOHYTAY\n0NraWtZwA+F+gLQnmeVa+P1+buqJ2+2GzWbLqDrzSh2p3J8BRtBMi+Z3Nk5NTeHcuXNoamrirJtS\nUOykcJ1Oh66uLnR2diIQCHDjuFjDipS8kqomaAAAAS3hKkEGFIwqBQBCyB8DuB/ADZRSzsdJKfWs\n/T9BCHkVwHYAl4ekNRoNHnnkkbyt4Y888gj+67/+C1qtFo2NjXjyybJmMBaUO5icsbi4iObmZnR3\nd5el10mppPlaLOvkktrkYt7cC1Ca1tt4UJ8+lJOoz5rSJ/1fDJnQSV7hGk4KXR2UKi+IuUH4+n2p\nVbpWq0V7ezva2toQDAZx6dIlzq3hcrlKrq7F8qTFGmUOHjyIhoYGxPTrOrJQ6iCpBFa7B1A7vu7w\nEFbRuaDX6zOaVs6dO4doNCpJmy91Ujh/UVWYV8LcIZdj9FxFQACquiIkLSWqdDuAxwHcRCmd5d3e\nCCCyNgzAAuBtSC8qloyiX4FbbrkFt9xyS8ZtX/rSl7ifv/Od7xR8joceekjy/sQWDpmTYGZmBrW1\ntXA4HLI1uuSrpPlxoEajsahOwOSH7s0peSQ3XwP16UMA0tUczfF8A+4FdDRLazhhNrliSJplFs/M\nzMBsNpcVVFXo2NicP+bWYC6G1tbWoi/bC/2dwkaZS4JzPskVpCRYMOQvEuZzdIh1Ng4NDUGv1+eM\nUZVjUrgwr8Tj8eDAgQM58zuuikr6Crg7JEaVfgOAEcAv1l5HZrXrB/A4ISSFdB/KwyIDbItC1XYc\nMrDgf7HEuUp0yAkraeEioMPhEHWFlANG0PlAQEFB8Mzx5rwLiNz2Er+ALN/B4/FgdXW1In9fPjC3\nRmtrK0KhUFZ1LeXqpJi28BdGXNjiCkIF4JxmM3piJ9L38aQOfhXNIY/DIx/42jw/RtVms6UH3q7J\nVHKQNB+sYaW7uxsLCwu4dOkSzpw5wyXzVXoSvByghICqrwxFSYgq/eMcj9sHYKucx1L1JO33+zEx\nMYHPfvazuPvuuzMT5yoAVknzk+6amppkiQPNqKYFkkc+TboUFGo44V8V1NfXV/x1LQS+iyGRSMDj\n8eDo0aPQ6XQFQ/yLuWLY4gpyPzOC5o4htZ5dHuvdjprRI5zUwUcpvmhhjKrP58tYbKSUVkSWEOZ3\n8JP5KjmxRy5QcpVKNTKiakmaUoqbb74ZqVQKlFJ8/etfr3iYOVsEjEQiOHv2bIZbotLga9J8yYPp\n0QwD7gX8YqhJUjUtJGl+Klo8Hi+5aq50x6FGo+G80MFgkKs+7XY73G53FrFIJel//X0ttrjyNLCs\ngRF0pcCiS10uF5eQ5/F4oNPpYLVaJS82FguNRgO32w23242lpaWqJ+i03FG1FHXZIHt2x+9+9zvu\ni//0009n3HfTTTehoaEB733vewvuhxCCp59+Gs8++yySyWTFCJpZy4aHh3HkyBHEYjHodDoMDAyU\nPUNODMkP3cvfecHte5bW7ZykiKRYPpGurq5icnISQ0NDmJubQ2dnJ3bu3Amn0ymrrJFKpbC6ulp4\nwyJQX1+PzZs3461vfStqa2tx9OhRHD16FH6/n/v7itXe2Ts6UZvOruBLHfzXmKuieVKHHN2FfLCE\nvK6uLphMJpw7dw779+/HhQsXEI/HZd2XcL/VvqBICUFKrZH939UG2bM72tra8MQTT4h2FX7uc59D\nJBLB448/Lml/RqORm3otN1ZXV7nFR+EioN/vl31/wHrDyQYZnqtQcwshhBt1FY/H4XQ6K9Z5yDy7\nfr8fWq2WC6C3Wq2yLU7xq0Cm7Y6NjcFutyORSBTcT7qKXpc6VCSzguZLHfmqaJ/PJ9tEGT5SqRQa\nGhrgcrkyFhtZs1AlZjZWPwhSitwhf3ZHR0cHAIh+iN/1rnfh1VdfLelA5ehWEy4C5moNlxNiDSfJ\nzYNQn84MUypGkx5wL+D4VJPofYwwg8Egamtr0dXVVZHsbX6AfjKZhNPpxK5du6DT6bC8vIxLly5x\nJOp2u2XdN+s0ZBrrhQsXEIvF0NHRUfDEwP9UdkdPiG4T7x0AAGjGjmZU0Su33ImgjBNl+OBfLfIX\nG4PBIKanp0UXG8tF1ZM+wRVxd1QbKpLdISfk+CAJFwG7u7sLfrnKPSkIG042bdq0Ltm0tACMpEU8\n08C6Li3UpJnLAwD+4Sca/P2fJTJOPowwGxoa0NnZKbtMtLq6ysVqWq1W0dfSZDJh06ZNXPzrsWPH\nEIlE4Pf7ZQ0JYtX1/Pw87HY75ubmMD4+nkVm//p7ce11om4ruiPrRM2XOjRjRzO2TfQN5GyUcblc\nsNvtZZ3sxZpZ+FZFscXGQuO4CqHaSZqCIKlSQv8rkt1RCRRLmvxOQI1GU9QiYCkeY7ZP4YSTXA0n\nwmo6VzNLz9LhLKJm2NhXh4mJ4/D7/VkOFL5mWy6EC461tbXo7OzMGwkApBfImETx2muvYXZ2NqO6\nlmvhilIKo9EIm83GkdmJEyeg0WjWiopWyVIHv7kl0TsAzeixrP3la5QpZUAEULiZRWyxsZTOxqsL\nV07ukBBVWgvgXwDsBDAP4HZK6fm1+/4W6TyPJIBPU0p/W86xVDS7Qy4YDAaEw+GCFjFhPnSp466Y\nDU8KoYt1Hxbr305u2gX18OHCG/LAJI+f7O/D3+1pF63CyiVppo0ym15nZydMJhMuXrxYdAWnVqux\nefNmJBIJeL1eHDlypOTmFSH4J1Q+mS0vL+N/HVufaM4/YkIKvzaMoBN9A4i074LYO5prokyxCYDF\n+KSF47iK6Wy8mkABpEjlnVVCSIwq/QSARUppDyFkD4CvAbidELIJ6Q7FzQCcAP6LENJHKS05tU32\n7I5KwGg0YmlpKSdJCxcB+fnQpUBKazjLtJiZmYHBYCh6DuHxVTMG1qpp9ekhJDdnx5Hm6j48PtW0\nFriUrqbV6uyF1VJJWtgSLndzC6tuW1tbM1rDnU5nya3hua56vv5LPXoFSaL8Kpr/c4ZzhqayquhC\nJyU2UcZisSAWi2F6eppLAHS73QUzSkppZsnV2WgwGOB2uwue/Kpd7gC5YnJHwajStd8fWvv5aQCP\nkPQL+n4AT61leUwSQs6uPd/+Ug9G9uyOoaEh/Mmf/AkWFxfxm9/8Bl/4whe4LIHrr78eIyMjWF5e\nhtvtxg9/+EPceOONBffLug75EAtUkotMcrWGC7vzyplwIvoFoSlAUDmISR3b3PM4NrVeITJtWvj8\nxZC0MEipra2t4pfQrLmD3xqu1+uLDl4qJE2pCDDsqccWZzDrvlxSB7+KPgMruou4csg1UcZut+fs\noiy341C42Mj2Kfdi4+UErZzcIUdUKbfNWht5EEDz2u0HBI91lXOwsmd3DA4OYmpqSvSx/CS8YsAq\naSB7EbAS7gVhJS2ccCJHdx6rzMScHqVASNRSSJpJNdPT04hEIpKrZrmbWfit4YFAIKu6LnQSFCPp\nB59Mobd7nZj4BC1F6uBDGMgvFfzwIybz8CfK8BdRi03By7dPscVGlUoFl8tV9mLj5UaF5A45okpz\nbSM55lQqrgpnt16vx69+9SssLi7CarXC4XBUtBNQrVZnLDwmk0nZJ5yoVCosu7fDOHU073a9oSGM\nm/NPZtnYV4eRsZWM2/IRKQuo8vl83KVxKYtdcoNPasKhAa2trVkBQQxCkn7wSb6kAd7P0qQOIF1B\nM5RK0nzwZR6xDA+5szuA/IuNLper4h285YKCIEmrNqqUbTNFCNEAqAewIPGxRaGqT6nnzp3DJz7x\nCVZafzMAACAASURBVPzqV7+C3+/H1q1bMTAwUJFmAoZIJIJQKITh4WGEQiH09PRgx44dcDgcsn6J\nCCFctS6mRwPA2frcJ/tt7vms2/7hJ+sfaCFJs6p5eHgYx46lL+W3bduGTZs2yTqPUC6wy/drr70W\nbrcbFy9exIEDB3Dx4sWs5iaxSppfRecCAcWkKU3GGZGlvNdNs/WdspA0H8znfe2118JgMODUqVMI\nhUKYnZ2VdXQbH2yx8brrroPVakU4HK7IfuRGCirZ/0kAF1VKCKlBeiHwWcE2zwL42NrPtwF4maa/\ncM8C2EMIqV2LOu0FUDhBLQ9K+uRRSvHpT38aPT09eMtb3oIjR8Q7tO6//360trZmyRH5Wsf50Gq1\nuOOOO/CZz3wG73jHO2Cz2Uo53IJgft4jR45gbGwMOp0OPT09soQq5dpfNBrFyMhI9p28LIme4OGc\nRH18ujnj9419aVK686vpob2MpBOJBKampnD48GFMTU3B4XBg165daG1tldUFEI1GMTExgWPHjslq\n/yOEoKmpCQMDA9i5cyeSySQOHjyIU6dOIRhMSxh8kharogkBTnvr134u7rj27duH5eVlrKysFN64\nSLBo0WuuuQa1tbVYWlrCvn37uHWbSkClUsFiscBut1fk+eVEupJWy/6v4H4pTQBgUaVnAPycRZUS\nQtjk7x8CaF5bGLwXwN+sPfY0gJ8jvcj4IoC95Tg7gBLljhdeeAHj4+MYHx/HwYMHcdddd4k2tbzv\nfe/D3XffzU1nYcjXOi7crq2tDcPDwxX50PIbTqxWK9dwcuHChYoECC0vL8Pj8XDjw9rb2wGbDRjJ\nr9UTQkGpSMMLyY7/cLU34c6vLuCv3x/HhQsXuAXOgYEB2WNdhf5pNnOPDU0tJm5UCvgLcgsLC5iY\nmEA0GkUsFsNdD4fgaG0AIF5Fb3WuDyrgSx1dSzwftEjY0nXXXYff//73GBsbA6WUayKphDRRqUaZ\nXKi2qycxSKx8ZYeEqNIogD/N8divAPiKXMdS0jv/zDPP4I477gAhBLt370YgEIDX64XD4cjYbvfu\n3aKPz9c6Lgaz2YyZmZlSDjULUhpO5JwYnkwmOW2baYQ9PT2YnJysaDv6d59pxd/+2SLa2tpk/zKm\nUinMzc3h0qVLMJvN6OjowO13ngXgXfsHAGr8+FsaHDlyBHq9XtZBtPz4zdXVVdz9jdyX7vzd8ato\nvg6dS+qoGUhHBms0GuzatYtrXNm/fz+am5tFrxLLBb9RJhqNytIoI4argaDTlXRVK7KXBSWxhFh7\n+PT0dBZJywUxC14xEDac2O32vA0nckwM51fN/Cqdga9Jn2sYRHeA5/AQseJJAVtAdLU3YfrCAv7n\nTxrx2N/J82WklHILXoFAAA0NDfjC/6cBEAEgPlbqL+/1ACB4+vttOHLkCPbv388tZMl1gmIEzapo\nRj4qwZ897GvEZsdC1uMvmN+CjsBR0SqaD0II9Ho9ent70d3djbm5uYz5iZUYU6XT6dDd3Y2urq6y\nGmWuWlBIkife6Cjpm3K528NLmRgOlN5wolKpSkreYzPm2FBap9OJ3t5e0f2pVCrudey264BA/ufm\nSx58PZpJHkJ3ByPqO78awmN/V7rfmX/lUVdXh//xlVUAdQCkR5Le9qlRAGlt/wffSOHgwYOor68v\n24v9qS9nky4AnJ2Ioq9bx1XRat75ji91qEluYmZVtBhUKhVaWlrQ0tKClZUVTE1N4cCBA2hsbERr\na6vswxOEjTJ814uURpmrFRQEKaWSlk7ShJC9AwPplfDBwcHL2h5eTCUtR8NJsZU0X9uW2opejqQy\n4JoXXTgUEjXDnV8NITgXxM++1Sp6vxiWl5cxPT2NYDCIh/6xBumPSvn5xp+6zw9Ai3QFPoIv35tC\na2ur5Er0w589DwCot6yTu7CK7uvOtpbxq2i+1NER4FkgS1iHqKurQ29vL3p6euD3+zE+Po54PA6X\nyyXZESQ2SDcX+E0rUhtlxHC1kHpSZC3mzQbJJE0pfRTAIwDw3HPP4ZFHHsGePXu4qqhSUgcgjaTl\nbDiRQqB8H3VNTY2k6d359lGO5CG2gAisV9MMH7l3/cQqRtipVAq3/uXp9d+TSUCQWEHW1hFokScY\nkmP94YFvqaDWzgDIXnPQ1q7vW28W134ZQQtxdnIVvV21GVX0sK8JWxxzANar6AsN29C+mOlOmmre\nhq6cf4k4CCFcdc20ZFZdFwpAKqWRpZhGmVyPr3ZQECRTitxRktxxyy234Pnnn0dPTw/0ej1+/OMf\nc/dt27aN8+F+/vOfx09/+lNEIhG43W588pOfxEMPPZS3dVwMueQOtoAld8NJvko6FArB4/EgFAqV\nHOAEZGrSgDTJoxDyVdP1lnoE59a77j5y7yVElyMZ28RXYxm/q9Zex5TIa0FUqqKJWgi1Vvzjxydn\nIJug+VU0dzxMi14To3u7Mt8TPkEXQpfbImm7XOBrySwAaXV1lauuhXp8uY0shRpl9Hp9xvZyLeBW\nHLT6KmlCSBOAfwfQAeA8gA9TShcF22wD8M8AzEgn4X2FUvrva/c9AeAGAOzL+BeU0uyoRf7zFWk1\nq9xguzxYWVnBDTfcgP/9v/83gMzW8ObmZjgcDln9zEtLS5iamkJ/fz+ATF1Wp9PB6XSWrQN6vV4k\nEomMBdhzvmhGNX22ITu6lFKSJXUAwJnR3D5efjXNJ2oAWUQNZJM1QyqZLJuYAUBTK75gKyRnIDdB\nB+dCqLeY4WhtgPdSAM62RgCZJM2qaPY2bXHMcVKHmqS4n9sXj3CXIlPN27JIet++fbjuuuuK/TMz\nwKprn8/HOTXq69Pe7UgkgtHRUWzfvr2sffDB1kempqagUqngdru5JrBUKgWNRnM5Fh7LYtgNm3fQ\nx//9D3IdC4f/tlX/eoG28JwghHwdwAKl9GFCyN8AaKSU3ifYpg8ApZSOE0KcAF4H0E8pDayR9H9Q\nSnM3iAhwVbSF63Q6JBIJ/Pa3v+XmDlZySKxKpUIymUQoFML09DSWlpZKiiAttA9+JZ1ulsj8TPcE\nDokStZgm3b+hLouoPZfSJ3iiIgjMBlBvqc+qqHVGfRZRa2trOKIWVtHlVNBM8kjGMxdl1VqNZIIO\nzoW4nwHkJOisffPsd+pcLeFrmJmZkX2+pdCpwTzeLpcLJpOpIr5r5gIJh8OY4k2UYUMhqh0UBIlU\n1S0cvh/AO9Z+fhLAqwAySJpSOsb72UMImQVgRYnXylX3Cghx/Phx7N27FxcuXMCBAwewadMmbNu2\nrWKt4fF4HLOzs1hYWMDFixdht9sxODiI9vZ2WZtB2InA7/fj2LFjGBkZgZFkp7QJccKTXUWPjItX\n0c7Wxozfg3NBjqCjyxGOnHXG9OVwfDXG/csHolLl1JiL3Z5JHvx9x1djICoVVpYj3L/08Yey/8a2\nxqzbgLQmDWT6pE/7sl87ALjYmK5gp5q3oaVBh8XFRezbtw/j4+MIh8OySgPMqbF9+3bs2LEDiUQC\nJ0+eRDAYRDAYrEgTFZsoc91116GxsRHnzp2rWPu53EhRIvu/MmGjlHoBYO3/lnwbE0KuQXph5xzv\n5q8QQk4QQr69NjwgL0pmOamt4TfddBMGBgawefNm3HnnnVla7ze/+U0QQjA3J64X7tu3D+9///vh\ndrvx4IMPViQURizXwmg0YsuWLRWxN0WjUczMzGB6ehqBQAC9vb3Yvn07bDYbzjXkD1MacM1lEfXG\n3nSHXb51xoaWzMqJETOfrMWgylHhFVNN01RKdPtcmnRNXeZ7XGfM1FTFNGlWRROSJugN3dmf/S32\n9c8Yv4JuW1j/7BqNRmzcuJHL1Th58iQikQhmZ2dlJ1A2g3Lz5s0wGAyYnJzk8kkqMSmcNcoMDAxU\ntJFKLlAKJFNE9n9Yiyrl/fsr/n4JIf9FCDkl8u/9xRw/IcQB4F8B/CXlRs/jbwFsBDAIoAmCKlwM\nJb9TUlvDf/7zn8NsNoNSittuuw2/+MUvsGfPHgDApUuX8NJLL6GtrS3nfu666y4AwH333Sf7ggc/\nDU6v13OXgalUCgsL4h7cUkEpxfz8PDe41Ww2w263Z7XM85GPsIWODmE17bm0CGdrI5ytjZzs0dDS\ngMDs+hWXUOpgkkOuBcRkmcTBiDqXJi0kZ0CcoFlF3WCth/dS+u9xtYtX1IA0qWOqeVvGY5hcYLVa\ncfjwYczNzWWM/pKzWEilUjAajejr68sYGGAymeB2u3Om/70ZkEhV5O/OG1VKKc1pkieEzBBCHJRS\n7xoJz+bYzgzgOQAPUEq5fGlWhQNYJYT8GMD/KHSwJZO01NZwZj1KJBKIxWIZH7Z77rkHX//61/H+\n9xc+Qen1eqysrJS9QMjvPgyHw6I+ajnbwldXV+HxeOD3+9HQ0MANbg0EApidzX5/u+06nMO6HY8/\neDYfNvbWYWR8BUSVdu/xyRlYXzAsRNTAuiYtpkcDxdvvGFSa3G4RnTH7fRUSNIAMgmZgBM0+WqyK\nlsprjKDFXB2pVAparTZrsK5Uq5sU8N0d/HySxcVFXLx4EWfOnIHL5XpzdBnyQClX+VYTWPrdw2v/\nPyPcYC05738B+BdK6S8E9zGCJwA+AOBUoR2WTNLFtIbfeOONOHToEG6++WbcdtttAIBnn30WLpcL\nrEGmEIxGI0KhUMkkzaZ/sO5Dl8uVMweh3C8dv6EmFouJWgOlnAi6A0Oi1fSAaw7HpwvbxIREDaTJ\nmqgIVkKZeRdiOrRKrc5pvwOkkzUjZ9H71l6T2Eo04/aaOh2nRQOZhC1G0EKMnlvFxp5aropWEWB4\nxoKt9tmMClo4lFYIfkwpf7BuKBTCpUuXZAmSErPgsfS/pqamorK1peJqqMwpKlZJl4OHAfycEPIJ\nABexFrJECNkF4E5K6ScBfBjAHyGdkvcXa49jVrufEEKsSLsEjgG4s9AOSybpYlrDf/vb3yIajeLP\n/uzP8PLLL+Ntb3sbvvKVr+A///M/Je+vlPwOSikCgQA8Hg83eaTUcVdSIBzcmq+hRuiTFiKruYUH\nRtC5mlhYNc2H0NVRZzZkEDXf0cFHLq90MdV0KpF+rJCsxfRuKZIHQ3AulFVFA+sELcRW+/qVi5ir\nQwy5sqTNZrNsg3UL+aSFXYaXLl3CmTNnOPeG3OmG1YRqW9+klM4DeJfI7YcBfHLt538D8G85Hv/O\nYvdZFEk/+uij+P73vw+g+NZwnU6HW2+9Fc888wzsdjsmJye5Knpqago7duzAoUOHcubcFpPfIZzX\nV8nJI6UObuVnd+QCq6KlSB65NGk+pBA1kLuqLleTzkXWDFIIusFavy55tNTDwzTpttyWMn7Y0unZ\nFmxpye5uzNXAUijwnzWS8Kvr0dFRrrqWQqCpVErSdvwuw3g8Do/Hg8OHD8NgMBQ9F/JqAFs4fLOj\nKJLeu3cv9u7dC0Baa/jy8jKWlpbgcDiQSCTw/PPP4/rrr8fWrVsz9NiOjg4cPnwYFkvuS/hCJC0k\nSzkH04pBbHCryWQquS2cj267Dud8UdH7hMjdEt6I6QvZmnQhogYqr0kz8J9frKrmE/TKcgR6kyGD\noBmEBM2qaGHAv5CgC0kdgPTRWYSQjMG6/6e9Mw9vqkz7//ek6UqXNE23bKUrtFgtS+28KpuCdS2o\nCOggIsorDgpURsT39zqj8+qFyDoIoggKI1gGQUQQEdRRHGFYVVAoFErbNN3bdF/SJM/vj/QcTpKT\nrTlpUzif6+pFW057niYn39znfu77e1dUVLg8WNdoNLpdTurv74+EhASo1WoLDw9X3xwGgpgTAAaj\n76/T2/RawVxpDW9ra0NeXh66urpgNBpx5513Yu5cpykYTuyJtF6vZ3LN4eHhboulI6yrSXo7uJUL\nPjcngWsbh86gBdrXctKAZV7aOicdEnZtL4JLoLVljcznF4vNf8vQZH8mimZroHWq40J9PBIVes5r\npjejs6wF1NlgXU/awq2ja3rqem9TLz4FAYw+lu7oD3ot0hRFYf369Zz/R9cax8bG4uRJ55OwS0pK\nnB7DFmlrpztPxNIe9PgpiqK8MriVa1As+00gKCrZ8vielAfXhmFhUQdTK82GHU33NtXBlZN2N5Km\n0xzANcG2V3/NlfJgCzSbxpomKNQSC4GmelR5aLLtvgNXmgMAVNRpHDvWyllB4cl8Q3uDdcPCwqBS\nqRjbXL6G0LKnrjc1NdlE14GBgV5plvEWBL6Xk+4PfL+ivYfw8HBUVVXhzJkzMBgMHjvdOUMkEkGn\n06G6utpuqZ6nv5+OpA0GA6qqqlBZWYmQkBAolUoMGiRGaZ2tpzVXZUd6WjAuWBkraUt1NpUP7qQ6\nuODDt8NkMEIkNkfo1kLtikBLYiLQWNPEfK4tc95py9bY87UxGBZdbZHquOmmm5gUxcmTJxEeHs6I\nKF9DaNmbfzqdDqWlpWhvb4dCoYDBYOB9yLFEIoFEIoHBYEBFRQXOnDmDoKAgKJXKARNdEwJ0u2/r\nft3h8yJtNBpx6NAhfPjhh2hqakJGRgbuuusur+WaacGk/ZT5KHfiQiQSobu7GxcvXkRTUxNiY2OR\nmZkJsVgMQojHEQ87imYLs6tC3dVumzrxZk7az9+feXOgo3paoNtb2piv2QJNYx1FM+ezns7SI9Bs\nLtTHQxXbDpFIBLVajYSEBGZ+YldXFyIiIni1H7AurdNqtaiurobBYEBSUhJjusQXYrGYmRXa1NQE\njUYDvV6PpCR3zVj7ByGS9rAEb8GCBThw4ABCQkKwZcsWjBgxwua4cePGMVM9AODQoUOIiTG3u+/c\nuROvvfYaKIrCLbfcgk8++cTm5xsaGvDll1/iiSeegEajQW5ubm+X7BC2BWlsbCwkEgmTb+cT2q9D\nq9Wiq6sLMpkMKSkpMBqNzBuBWCyGSCTC2YpQ3CyvZX7WUZUHVzRNwxZmtncH83tFFPQdlpNWnNmU\nAvzkpP047ky6u/TwDwxgxBlwnpOu1DRBnmD+3E9EoeiqAUOSrl3eIoq7NvqemzoBmCtt6DubyMhI\nREVFobOzExcvXkRDQwNMJhPUajWvbot044pOp0NMTAxjuqRUKjktTT0lIiLCo0k4fY25usO30jOu\nWJX2HGcEcK7nyzJCSF7P9xMB7IC5JfwMgCcIIQ7NcrzeFg4A27dvx6hRll2YRUVFWLp0KX766SdE\nRkZydt8BQHR0NNatW4d//etfKCws7O1yOaGN+ysqKhAYGAiFQoEhQ4aAoihcuHDB4zmHbNrb21FR\nUYH6+npER0cjPT0dv/32G8LDwxnTd1qcaaZkt+OS1vL3cOWkL1zqQHratZw0nepwlJO27jQMCA60\nEWrAezlpLnEG7NiV2slJN9U1Q9TzxsYWaACMQDsKgi/UxyMh3rxZSVEUs09gMpmYTkOZTIbw8HAM\nGjQIFy5cACEEKpWKV4Mvk8kEmUwGhUKBrq4ulJeX4/jx414bxzVQIAToxRQ7b7MEwLcsq9Il4Pbf\n6CCEZHF8fxmA1YSQHRRFvQfgaZi9p+3i9bZwe3zwwQeYN28eIiPNeVM6urZHb+cccsEeDRUTE4PM\nzEybbjE+qi9MJhPj10EIgUKhwODBg5lURmBgIH7//XckJCQgKiqKM6VytiLaIprmwjqKpsVZkRCJ\npromRMjMkacrQg2AU6wBfnPSdM01W6xdEWhJzLU66cho91IDrmSsaLGmxbK6uhpDhgxBVFQUYmJi\nLGw/Y2NjoVKpPPbxYG8cBgYGWgwMoMdx8TnsdiDko2l8sLrDqVWpPXpawe8E8Djr51+Dt0Tanbbw\np556Cn5+fnjkkUfwv//7v6AoCpcumS1Xb7/9dhiNRrz22mu455577J4vIiLCo4nhRqORiZr9/f2h\nUCgcjrvyZGI4268jMjISKSkpCA4OhtFoZCpGxGIxRowYgZaWFpSVleHKlSs2L0Tz32uZbslS1OIX\nbbTTNdBCbS3MrvhJBwQHcjrj8Z2TBmAh1uwNS//AAISEDUJHm2UZHpdAW0fRzPl6Al2uVMeF+nhE\ndfyIigoFYmNjmcecfj5aW1uhVCqRk5PDvGGbTCYEBQUxMw2rq6vx66+/MlUV9t5oncG1OUlRFKKj\noxEdHY3Ozk6Ul5fj2LFjiIqKgkqlQmgo9zgxVxgoIk0IYDR6Jd0hoyjqFOvrjYSQjS7+rIVVKUVR\n9qLLoJ5zGAC8RQj5HEAUgEZCCH1/UA5A4eyEXm8L3759OxQKBVpaWvDII4/g448/xsyZM2EwGFBU\nVITvv/8e5eXlGD16NH777Te7ZuS9jaTb2tqg1WqZvN+wYcNcinzcjaTpZhqtVsv4ddCTNuhbaLFY\nDD8/P4sXZFhYGIYNGwa9Xs/c5oaEhECv18Pf3x/jEjvR0GVOZbgSVXNhnZPmEmBfykmbz0HZCLQj\nKjVNUPaItUgEFJVY5qS5dCkzMxNardbmMU9ISLBpPmGXTNLXRVxcHORyOVpaWphOQ7oW2p1WbUKI\nw9RJUFAQUlJSmOj64sWLMBqNzJu6O2mXgVaCZzB4Zb0OXfAoivoGAFfr8/9z4xzqHsP/JADfURR1\nDoCtIboL06683hauUJjfKMLCwvD444/jxIkTmDlzJpRKJf7whz/A398fiYmJGDJkCIqKipCdzW3P\nGRER4bJIm0wmJmr28/ODQqFASkqKWxezq5E0u4Y6NDQUCQkJGDRoEPNCFolE8PPzA0VRDs9PR2rs\nvKi/vz8CAgJw9qpZnB0JNDvl4SwnzfaSpvFGTvqamBPW98zCZ0+c6ZQLG2uBpqNoXW0TpLESC4G2\nWT9l+xq4UG++26NHSFn7qNh73mnRts5dh4SEID09nXHJO3XqFG9GSBZ/i0jEDLttb29HeXk5jh49\nCplMBpVK5fKm5kCJpEFIv2wc8mFVSgip6Pm3mKKo7wEMB7AbgISiKHFPNK0EUOFsPV5tCzcYDGhs\nbIRMJkN3dzf279+PCRPMf//kyZNRUFCAWbNmMV69jsqCgoKCoNc7nhjC3pyTyWRIT09nqkrcxVkk\nTY/Wam1tRVxcHG6++Wb4+fkxL16RSGSzEWgN3ZSj0WiYvCM9Eow2h7p69SrYb+pnK6IhogD2tVtY\nZNlC3p85aWcTW4iJgBJRnDlpVwVaV2v+G6SxtsJMn54dRdP4ia4JdKL/rzh5sgHx8fEYNWoUU//e\n2trK5Jzj4uLsRsXsjUbgmrArFAoolUo0NTWhrKwMhYWFTJMMn9UaISEhSEtLQ0pKCmpqanD+/HkA\n4H1Tsz8hAEzeSXd4gitWpZEA2gkhXRRFyQDcDuBtQgihKOpfAKbAXOHB+fPWeLUtvKurC7m5ueju\n7obRaMSECRMwZ84cAGb70kOHDiEjIwN+fn5Yvnw5oqK4xxuxsW7VpieGa7VaUBTF2+xDrkiaHu5Z\nUVGBoKAgxu6Uq3zO0fnpxonKykqEh4cjOTnZZgef3a2W1lGPL3+zn+oYmhqEwqJOmy5Grpy0NXzn\npOn/4xJr6zpmwDInzX5zCAgOREjYIJsyPC6BZqc52Fy6asTQJBFnqkMikSA1NdXmeaIns9D18j//\n/DPTZUp3CFr8TRzRNWBuvrr55puZ/QlvVWuIRCLExcUhLi7OYlMzJiYGSqWS9xLSvsTczOJzIu2K\nVWk6gPcpijLBPP3qLULI+Z6ffxnADoqi3gDwM4DNzk44IKaF02RlZeHIkSOgKAodHR2oqKhAXV0d\noqKiIJfLeb0gq6qqoNfroVarmbx2Y2MjYmJiEBsbi4CAAIuUhrOoGQDjktbS0gK5XI74+HiXOxh3\nnQxhRPpshXnj0ETMUTQt0gBsRJqGLdTuTAi3HhrLxps5aeuo2jqipkVaV9uEzFEJKC9thDqxp6ml\nRziHJol6vu45F+vpMddHO4du1ddoNOjo6GCeN0dVFuxmJDripigK9fX1KCsrY6bE0/lkPqaRszGZ\nTKiuroZGo4FIJIJKpWIG69KOe3wPvrWDR3mV+MEjyVOvHuVrLQxLnwnq9bTw/sDnOw7ZUBSFr776\nCnK5HIQQyOVyJCYmeuXWjqIoNDU14eeff4ZIJIJCoUBycjJMJhMTMfn5+dlsBFpDR99arRYBAQFQ\nqVTIyMjoVV6Qa+NwaKrlJiiXJwhgm5N2NCGcDT2HkC3W/Z2TZgt0ZHSEhUDbrMEDgTb//LUWa7pD\n8MSJE0xUzJUHpkUZgEV0LZVKIZPJ0NHRYZFP5nszTyQSIT4+HvHx8WhtbYVGo0FRURFiY2Pd3tTs\nTwghMHT7Xg1eXzMgRFqj0eCDDz5ASUkJ9u3bh+XLl3tUguSIzs5OplU3ICAA6enpCAoKgtFoZDb2\n/P39nUYi9MZOfX09U4vtST3tlOx27DoZwkTRbKxz0rRQKxIicf50CZOTZmNPqAH7UbW74sz9OzzL\nSUtjJUzKg6tO2jqK5hP2aCu6yoIQAqVSyUSqXOux3mgMCAhAcnIykpOTUVlZifLycpw+fZqJePnc\n2AsNDWU2Naurq3H58mXOzmBfxSj0hXsm0q60hre0tGD06NHM1+Xl5ZgxYwbWrFmD0tJSzJ49G7W1\ntZBKpdi2bRuUSqXNeY4dO4a0tDQMHz4cr732Gu8CTW/gabVaGAwGyOVyDBkyBDU1NfD397dbPsf1\ne+rq6qDRaJgXr7tVJe5AbyCy0x00XFUdXBuHgG36wz8wwKM6aWIyeSUnPSgilFOg6ShaU9oE9eAe\nu9IS8xqHJop6HUXbg13DTL8ZFxcXM3lgrjFa1huN7Og6MjISQ4YMYSJeethtb8dxcUEP1o2Lixsw\n1R1erJMeUHgk0q60hoeFhTHWpQAwcuRIPPzwwwCAP//5z5g5cyaefPJJfPfdd3jllVfw8ccf25xn\n6tSpAIA9e/agpaUFsbGxniybge1FHRERgaSkJAQHB8NkMkGv16O1tRXFxcVQq9UOo2D6Nriqqsq8\n0ZeW5rVI31WUg6UoLzFPPKfFmcu3g8Y6euZKc9C4s4EI9C4nDcBGoLnQ1TZBnSixEGiqR5SHnlID\nuQAAIABJREFUJnq/woGusqAj1bNnzzJDarmM/umvTSYTE0XHx8cjKCgIQ4YMYX7Pzz//jKCgoIHv\nCe0B5nQHf9YMAxWPRNrd1vCioiLU1NQwkfX58+exevVqAMD48eMxefJkh+fjozWc7dnc0dHBzD2k\ny97oXHNoaChycnLQ0NCAoqIiUBRl0eRA/57y8nK0tbVBoVAgOzvba+589qA3Dt3B3Zy0tVB7MycN\n2KY9rAXauk5aU2q/eoVN4VWCe25y6VC3oSNVuVzOXBeXLl2y2SCmm5aqq6sRGxuLESNGMP9HVxPR\n/s/Nzc0oKyuzaJK5kaaFQ4ikAXgo0u60hgNAQUEBpk2bxkQFt9xyC3bv3o0FCxYwUXJ9fb3dUrzQ\n0NBeizTbs5kuqQoNDbWoheYqn4uKikJUVBRaWlpQWlqKoqIihIaGorW1lRmNxFWa5Q3ovDSbjLQg\nnL9keQtfUaaDXB3JGU3T9Gbz0GAnV20NnzlpLoHmKsOzF0XTqY7CqwQLH+Su/+Ybe2O0APNehUql\nwq233so5IZyduw4NDXXodd1bBkpUTkBg8kHzjr7G45y0NY4ugB07dlikM1asWIHnn38eW7ZswZgx\nY6BQKBxGouHh4W6LdEtLC7RaLZqbm5mmE7FYzGwEulo+Rx9nNBrR3t4Og8GA8PBwhIaG9ulFf/5S\nJzLSHEfOcnUkKsrMOWmRiIKuxmyM76pQA+b0h3UE3dc56UERoWhruubXws5Js6EFms2lEvO1mZ7U\nf4IkFosRHh4OnU6H9vZ2putUJBLZvWa4NhrpMjq1Wg2dTsd4XdOWpn1UTtfnEAKfS3e4YlVKUdR4\nAKtZ3xoKYDoh5HOKorYAGAuAvpBnEUJ+gQPcFuneTgz/9ddfYTAYMHLkSOZ7crkcn332GQBzp9fu\n3bsdRghhYWEumSyxzZQCAgKgUCiQmppqUT7nykagyWRCbW0tysvLQVEUVCoVY2VKT7w4efIkoqKi\nnOat+eIvfzRhl9VEMq5omgt7OWl71Rz26KuctLVAs+HqNqSjaNq+lBbovoyigWvXTVlZGYKCgpCU\nlMT4OHd0dDB+IdHR0VAoFJxdsfbK+CQSCaRSKePS95///AdSqdRj0yWfhBAYfS+SdmpVSgj5F4As\ngBH1ywAOsQ55iRCyy9UTui3S7raG0xQUFOCxxx6z+F5dXR2kUilEIhGWLl2K2bNnOzy3s0iabgtv\naGhg2sIDAwMtoma6ttkRdBleTU0NoqKikJ6ebtMoQ0+8UCqVqK2txblz5xAUFISEhASvG6uzo2l7\nkTU7mo6MkTDRNGAbQdsrvbO3echHTtr8+12rlbYn0I01zYiMjWBy0upEfqeauAv9xl1RUQGpVIqb\nbrrJRoCDg4MZs6Samhr8/vvvEIvFUCqVdl30uKJrsViMxMREJCYmoq6uDoWFhU69rtkNNgMBc1u4\nz4m0u1alUwB8RQix3a13EY/SHa60htPs3LkTBw4csPj577//Hq+88gooisKYMWPsDralCQ8Ptxla\n68yz2Z3yOZ1OB41Gw9xKcuUNrRGJRIiNjUVMTAwaGxtRXFwMo9EItVoNmUzm9ReEo5w0G2dCDfRt\nTpoLV3LS0lgJGmt67Epj2WV45s9FVo934VXvbzx1dnZCo9Ggrq4O8fHxGDlypNMNPnY7d0tLi41f\nCNfP2yvjk8lkFqZLtNe1Uqm0eZMYKAINAPBedUdfWJXSTAewyup7b1IU9RcA3wJYQghxeJs3oNrC\nP//8cxw9ehSvvvqqjWczPQ3ZXfe57u5uVFZWoqKiAmFhYYxHgye0tbWhrKwMTU1NTPsv33nDv20X\nWUTT1tBRNC3MkTESi69puMrxAO6cNE1vjZbsiTNgafgv7vmcFuiO5mtrZIu2I5Fma5G3Uh30ZjK9\nGRgbG+tRTbzBYGCuxdDQUJeuResWdLr1u6amBhqNBv7+/lCpVJDJrk306Yu0XA8evSNI424mE2fs\n42stDDtXDnbYFu7EqnQrIUTCOlZHCInkOBY9LnlnAcgJId2s71UBCACwEcAVQsjfHK13QHQc0oSG\nhkKr1WLbtm1IT0+HXC7H8OHDLW4FXWnVBsB4ADc3N7sc/bjKoEGDkJ6eDr1eD41GgxMnTjCRDR8t\nueY3IpFLm4h0BM0W587WdqaRhY6o3clLu2u05EicAduJLIYuPQKCgizEGXBdoK25ePEiVCoVL94u\ndONTaWmpTVmmp4jFYqhUKiiVSjQ2NqK0tBSdnZ1QKBR23+jtufHFxsYybeFlZWW4dOkSU9rXhyLt\nGaR/qjv4sCrtYSqAPbRA9/zuyp5PuyiK+gjAn52tZ0CItMFgwNq1a7Fx40YMGjQIc+bMwfDhwy1c\n6lxxn6ONZ8rLy5kIIz093Wu3gHT77+DBg1FZWYkzZ84gIiKi1wNN6c2impoaPJ4TjU+OpwHgTnm4\nk5O2h6OGFneiaTonbS3WXOOyACCAQ0S4BFpX3YSoeAnKS83pD/Vg8/etn87IyEhcuHCBqZLozQQV\nk8mEqqoqaDQahIWFebVhie2A2NXVxfiF0BuEXG82rnpdO7P79SXM1R0+N+TQqVUpi8cAvML+Bkvg\nKQCTAfzm7IQet2QVFhbiv/7rvxAYGIgVK1bYPe7q1avIyclBamoqpk2bxlwsR44cwYgRIyAWi7Fr\nF/eGp5+fH6Kjo7Ft2zbExcUhMzMTRqMRIpEIAQEBCAwMdFhG19HRwXRFtrW1ITMzE1lZWb0ed+Qu\nfn5+zCgmmUyGwsJC/PLLL2hsbHRqrkP7Sp87dw6//vorgoODceuttyIlJQUAd6qDCzrdQUNH0jT+\ngQF2RZMWa2IyMR+OMEfPHBtXJmLOSVMiUBT3c+VMoAGzOOuqLUvxaIG2ZuGDXYiJicHIkSORmpqK\nmpoaHD9+nHGjc0Z3dzeuXr2K48ePo729HVlZWcjIyOizSorAwEAkJSUhJyeHebM5c+YMampq7F47\ndNqDHmZAW+nGxcXxOlzZ29B10nx/eMhbACZSFFUEYGLP16AoahRFUZvogyiKGgxABeAHq5/f3jOl\n5RwAGYA3nJ3Q45x0TU0NSktL8fnnnyMyMhJ//jN39D516lQ8/PDDmD59OubOnYtbbrkFzz33HEpK\nStDc3IwVK1YgLy8PU6ZMsXvyy5cv44477kBeXh7mz5/vcEgAIQT19fXQaDTMqCFfMkNvbm5mbmfV\najViYmIs3jDo9uDy8nIEBwdzNs38bTv330JH0IBlTto6Hw04bxG3Hp/FnvxtD0cbhyI7ufmQcG7R\n46qVpomKZzezcEfRXPlotp+3RCLhdLPr6OhAaWkpGhsbGdN+X6lHpn2jGxoamBFejnw+uru7sWvX\nLmzYsAFPPvkkXnjhhb5aqkcRUET0MHLHpH/ytRaGA5szB5RVKW8bh7TxEZdIE0IQHR2NqqoqiMVi\nHDt2DK+99hq+/vpr5phZs2bhgQcecCjSgFm8Pv/8c6xatQoKhQIvvvgiMjMzGfHS6/WoqKhAVVUV\nIiIioFQqeTVZ55uOjg6UlZWhoaEBCoUCUqkUVVVVqK2tdWjYQ+OOUNuDFmrrvDTXfEPm/1wQa+Ca\nYNsTZwAQB3Bn3ayjansCDZhFuqykCQmsMjxnG4ZsQyzAPNXE398fZWVljJc43650fGI0GlFVVQWt\nVovg4GAolUqLcV1tbW3YunUr/vGPfyA3Nxf5+fl2+xi8hGciLRtGbnuggK+1MBzcesuAEuk+yUnX\n19dDIpEw3YR0+3hvoKeOP/TQQzhy5Ahef/11GI1G3HvvvSgrK0NeXh7kcjlGjRrV5z4avSE4OBhp\naWmoq6vD5cuXUVRUBKlUiqysrF6P/rLGOop21fRf5OfnUKjdwWQ02gi1q+IMcBssNVTT7eG2Al1W\n0gzAsYsc7WYnk8mg0Whw4cIFGI1GxMfHIz093ed9Muj5nXK5nBkosX//fpSWlkKv1+Prr7/GY489\nhh9++AGRkZwFCD4NIWRApWe8RZ+omLvt464gEokwbtw46HQ6/PWvf8WGDRsYk6NRo0b5zK2pI+jN\nHK1Wi0GDBiEjIwNhYWGorq7GuXPnMGjQIKjVaod3An/5o8kimqZrpNkbh9a4UyNtPYjW3QiaDVvw\nuWqiAdcEOipeYiHQ1pSVNGPVC85tPo1GIyoqKqDVaiGRSJCdnQ1/f3/GbyM8PBxqtdrnO/koikJE\nRASam5tx5swZnDlzBlVVVbj//vvxpz/9CRIJ90AEn4cQxjbgRqZXIs1uDT9w4IDTWyiZTIbGxkYY\nDAaIxWKH7ePuIpfLcejQIcTFxeHKlStYuXIlVqxYgWeeeQbTp0/3yXKjjo4OaDQa1NfXIzY2FsOH\nD7cozYuPj0dcXBx0Oh0uX74MQggSEhJcsqykxZluZtHVNCIyRuJyMwvgOCftCq7kpA16y007cYDY\noUDTeenQyDBOgaajaHME7Ziuri5oNBrU1tYiLi7OpvxSrVZDpVKhvr4eRUVFMJlMXjHk5wNCCOMm\nefXqVSxcuBDr168HRVE4dOhQr6qIfAVCAKOLQcH1TK9Emt0a7goURWH8+PHYtWsXpk+fjq1bt2LS\npEm9ObUNOTk5zOfJycl49913UVNTg7Vr12Ls2LGYPn06nn76aa+3ajuDPRmcnnHnaCAARVGQSqWQ\nSqVobW1FaWkpLl++bDEbj8Y6mgZc2zx0VIpnT5xpHw5HETXXMFpXctL6TstKlYCgIItNw9DIa3cU\nbIFuqDanOmiBthdF0zXDLS0tUKlUyMnJcfj4y2QyyGQytLe3Q6PR4MqVKw4niPclhBAcPXoUa9as\nQXd3N1566SXcddddFn/Pvffe248r5APCW7ptIOPxxmFVVRVGjRqF5uZmiEQihIaG4vz58wgPD8d9\n992HTZs2QS6Xo7i4GNOnT0dDQwOGDx+Obdu2ITAwECdPnsRDDz0EnU6HoKAgxMXF4ffff+flj2tp\nacHGjRuxdetW5Obm4rnnnkNcHFcjkfegu8i0Wi3CwsKcpi8cYR0BKpVKJgKcu7TJohXc0cahO4No\nnb1InKU/nG0cupqXZgs0cE2kG6qbEBVneTvPFmm63b+0tNStOxIu+Hwue4vRaMTBgwexdu1axMXF\n4eWXX8bIkSN9LsLvwaNFURR1EOYyNb6pI4Tc44Xf6xUGVFt4b9Hr9di+fTvWrVuH4cOHY/78+Uyd\nsbego6+GhgbEx8dDLpfzFn1Z51ITEhIQHBzsNaEGrok12yyJjXXttLOUhzubhlwCTac87Ak0e2J2\nSEgIEhISeBNU67uivijv1Ov1+Oc//4mNGzciOzsbixYtQmpqqtfOxxM++c4x0LghRJrGaDRi3759\nWLlyJWJiYvDiiy8iKyuLtyiEXZvdF3lMQghjiRkQEIB3v0wAAEaoL5wpRYTsWpqnt0LtTKDdxV6V\nhysCzcZaoAHg7ef8UF5ejsrKSshkMqhUKq/uS1jvL/DV+k/T0tKCLVu2YPv27bjvvvuwcOHCPr8b\n9ABBpHnghhJpGkIIfvzxRyxfvhwdHR1YuHAhxo0b1+tIiG1R2V8VAbTXw4YDgy2+31RnztNGyMJd\nbmYBgK72Drvn4hJrri5E62ja3VrpwBDLEkSbKg8rkZ6bW4r6+nqmLK0vSzCtK3U8nZ5SW1uLDRs2\n4Msvv8SMGTMwd+5cj42/+gFBpHnghhRpGkIIfvvtN7z99tsoKirCvHnzMGnSJJdf3G1tbdBoNGhs\nbGRSGv1dWzt3qe3kElqoAaC92XZoQm/z0eY2b+dtto6M/e2lPVwV6Iaaa3/vsufNTVP92VVKt/HT\nDTFKpdItd7ySkhL8/e9/x8mTJ/Hcc89h5syZvE4N72MEkeaBG1qk2ZSWlmLlypU4cuQIZs+ejT/+\n8Y+czSRcXWp94RvtDtZCzRZpwD2hBmzF2jqStifUXHlpdjTtqkADVt2GcRILcQaAj/7me+VxnZ2d\nKC8vd9o9SgjBuXPnsHr1amg0Grz44ot46KGHBkStvxN86wkZoAgibUVdXR3eeecdfPbZZ3j00Ufx\nzDPPQCKRQK/Xo7Ky0qHfg68wd2kTmuqaLfLRrgg14Fis7flLs7E335CNI6F2JtC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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "test_net(net)\n", "plot_net(net)" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--------------------------------------------------\n", "Test:\n", "******************************\n", "Input : -1.0,-1.0 \n", "Output: -0.9 \n", "Target: -1.0 Correct\n", "******************************\n", "Input : 1.0, 1.0 \n", "Output: -0.9 \n", "Target: -1.0 Correct\n", "******************************\n", "Input : 1.0,-1.0 \n", "Output: 0.9 \n", "Target: 1.0 Correct\n", "******************************\n", "Input : -1.0, 1.0 \n", "Output: 0.9 \n", "Target: 1.0 Correct\n", "--------------------------------------------------\n", "Epoch: 26 TSS error: 0.025058988129 %correct: 1.0\n" ] } ], "source": [ "net.test()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## tanh 0,1 with batch mode\n", "\n", "conx has a method of only updating the weights after each epoch." ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "collapsed": true }, "outputs": [], "source": [ "net = Network(2, 2, 1, activation_function=T.tanh)" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "collapsed": true }, "outputs": [], "source": [ "net.batch = True" ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# input low and high values:\n", "ilo = -1\n", "ihi = 1\n", "# output low and high values:\n", "olo = 0\n", "ohi = 1" ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "collapsed": true }, "outputs": [], "source": [ "net.set_inputs([[[ilo, ilo], [olo]], [[ihi, ihi], [olo]], [[ilo, ihi], [ohi]], [[ihi, ilo], [ohi]]])" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--------------------------------------------------\n", "Training for max trails: 5000 ...\n", "Epoch: 0 TSS error: 1.25738984118 %correct: 0.0\n", "--------------------------------------------------\n", "Epoch: 87 TSS error: 0.0190134394193 %correct: 1.0\n" ] } ], "source": [ "while net.last_cv_percent != 1.0:\n", " net.reset()\n", " net.train()" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [ { "data": { "image/png": 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uuAN33nknXnjhBXzmM5/BE088gZmZGXzxi1/E/v37QQjB9u3bceutt5btSr/t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