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Created April 19, 2016 14:38
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Theano/Lasagne implementation of http://arxiv.org/pdf/1406.2661v1.pdf
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Adversarial Network\n",
"\n",
"This is an implementation of an adversarial network described here: http://arxiv.org/pdf/1406.2661v1.pdf"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import theano\n",
"\n",
"import lasagne.layers as L\n",
"import theano.tensor as T\n",
"\n",
"from lasagne import nonlinearities\n",
"from lasagne.updates import sgd, momentum\n",
"from lasagne.init import Normal\n",
"\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"from scipy.stats import norm\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A normal distribution is used here to generate 1-D samples"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x10bbb7b00>]"
]
},
"execution_count": 18,
"output_type": "execute_result",
"metadata": {}
},
{
"data": {
"image/png": 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FmLHTF7oZHB5jRXkWFovF6DimNH4k0pGGDoOTCJCiF2LGxstrhQzbTGm55wSyIzJ8YwpS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\nhBAhTopeCCFC3P8HyYpX4Z+Ra+8AAAAASUVORK5CYII=\n"
},
"output_type": "display_data",
"metadata": {}
}
],
"source": [
"mu, sigma= 1, 1\n",
"r = 1000 # resolution (number of points)\n",
"scale = 4\n",
"zs = np.linspace(-1, 1, r).reshape(r, 1)\n",
"xs = scale * zs\n",
"plt.plot(xs, norm.pdf(xs, mu, sigma))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Build the Network\n",
"\n",
"Here we build two neural nets, a Discriminator 'D' and a Generator 'G'. The Discriminator learns by comparing samples from the training data to samples generated by the Generator. The Discrimator has one output which scores the input on how likely it is to be from the training data. We then use the score from the Discriminator to train the Generator to generate samples similar to those from the training set."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"lr = 0.0001\n",
"M = 200"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"def mlp(*h_sizes, nl=nonlinearities.tanh):\n",
" assert len(h_sizes) > 1, \"Must have at least two layers!\"\n",
"\n",
" layer = L.InputLayer(shape=(None, h_sizes[0]))\n",
" for size in h_sizes[1:-1]:\n",
" # layer = L.DenseLayer(L.dropout(layer, 0.5), s)\n",
" layer = L.DenseLayer(layer, size, W=Normal(mean=0.0, std=1.0), nonlinearity=nonlinearities.tanh)\n",
"\n",
" return L.DenseLayer(layer, h_sizes[-1], W=Normal(mean=0.0, std=1.0), nonlinearity=nl)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The Discriminator's cost function compares the output scores of samples from the training data and scores of the samples generated by the generator. Ideally, the discrimator should return a value close to one for training data samples and a value close to zero for samples from the generator.\n",
"\n",
"The Generator's cost function uses the discriminator to measure how close the output samples are from the training data sample."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"g_nnet = mlp(1, 6, 5, 1, nl=nonlinearities.tanh)\n",
"d_nnet = mlp(1, 5, 1, nl=nonlinearities.sigmoid)\n",
"\n",
"x = T.matrix('x')\n",
"z = T.matrix('z')\n",
"\n",
"g = L.get_output(g_nnet, z) * scale\n",
"d1 = L.get_output(d_nnet, x)\n",
"d2 = L.get_output(d_nnet, g)\n",
"\n",
"get_d = theano.function(inputs=[x], outputs=d1)\n",
"get_g = theano.function(inputs=[z], outputs=g)\n",
"\n",
"d_loss = -T.mean(T.log(d1) + T.log(1 - d2))\n",
"g_loss = -T.mean(T.log(d2))\n",
"\n",
"d_updates = momentum(d_loss, L.get_all_params(d_nnet), lr, 0.9)\n",
"g_updates = momentum(g_loss, L.get_all_params(g_nnet), lr, 0.9)\n",
"\n",
"opt_d = theano.function(inputs=[x, z], outputs=d_loss, updates=d_updates)\n",
"opt_g = theano.function(inputs=[z], outputs=g_loss, updates=g_updates)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Training"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [],
"source": [
"def plot_fig(title=None):\n",
" # plots pg, pdata, decision boundary \n",
" f, ax = plt.subplots(1)\n",
" \n",
" # p_data\n",
" ax.plot(xs, norm.pdf(xs, mu, sigma), label='p_data')\n",
"\n",
" # decision boundary\n",
" ds = get_d(xs)\n",
" ax.plot(xs, ds, label='decision boundary')\n",
"\n",
" # p_g generated \n",
" gs = get_g(zs)\n",
" ax.plot(xs, norm.pdf(xs, gs.mean(), gs.std()), label='p_g')\n",
"\n",
" ax.set_ylim(-0.1, 1.1)\n",
" plt.legend()\n",
" if title:\n",
" plt.title(title)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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uHCOdDjS2ux1USpm11mGlVCHwGyKt+Ut7okAhuqrR18Rjq54mFA7x3QnXkm/P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\nTkSuQmCC\n"
},
"output_type": "display_data",
"metadata": {}
}
],
"source": [
"plot_fig('Before Training')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Both neural nets are trained in tandem so that the Discriminator can continuously distiguish between training data samples and generated samples as generated samples become more and more like those from the training data.\n",
"\n",
"To optimize the discriminator, we use a mini-batch of training samples and a mini-batch of noise which we use to generate samples with."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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YwYLYOeRGzcZkCPR2yadEhrrkE9ZXbeRgRxULYueQEzXL2+VIPi7EaGZFwmJW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\nmZkSzj2r5/Doy7v42//2Mmh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},
"output_type": "display_data",
"metadata": {}
},
{
"data": {
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eTyZ1yWO0VemnyypdchkbM5I/j72LVOsgdpQL/rnmGTbs3+zusDyaTOqSR2ix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\n"
},
"output_type": "display_data",
"metadata": {}
},
{
"data": {
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eWp778kW+2rIIgCnFEzlj+MkUO4vicvyQtxXNkbiulyiTw9G2ImQ6MGkmCjLy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\nVcQZM4ZRVNS7wl1CPYncfjdVnhp2uqv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},
"output_type": "display_data",
"metadata": {}
},
{
"data": {
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GZgzj4j7nH/F1Q2V7/srr8zF/ZTGfLsqn3u4mzmbhlGFdODE3k1ibNWAZq+ub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\n"
},
"output_type": "display_data",
"metadata": {}
},
{
"data": {
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vG9LbRh+3i8XjcKA9+2+K120gun8/uj3yMGa7FHY/0KD+soYU9bHAKE3TblVK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\nEREV+QvFPkIY/hVEIQAAAABJRU5ErkJggg==\n"
},
"output_type": "display_data",
"metadata": {}
},
{
"data": {
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Jsv025o6nvp6811+letVKgjI6knbPfVhCw5r1Z4YT+3feEhISIprUX9aUlvrX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\ng+4P3kt0t8xG120Lx7Mt1Aj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},
"output_type": "display_data",
"metadata": {}
},
{
"data": {
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lBSto8PruJD86eTjnDD4Rhycu0OUdVGf7PPenres0DIOyb76iePYHYDaTdNEl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\nj3FywQKc1jBe/RSmnTWI0f0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t9WTg38CfAlzP/twJfKe1ngJMBV4JbDn7p5R6AXgUMAW6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\nAAAAAElFTkSuQmCC\n"
},
"output_type": "display_data",
"metadata": {}
},
{
"data": {
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O1sf0x3bmhfzi2CGEhXb+VA2HmrG6rolPFm3nq6U7aXK6GdrHzkW2rTTO+wxc\nLuJPO4Ok8y/AsPa+i3hDj8rps80vogNu082Wiu0sL1xJbtHqVkUewVGp4xiTPBKVMMhnRS56noa6\nBpY98zyJG5fhtISwcfw5nHDZWcREdf0x5dERIVx8QjYnjsngjS82sGJzCQ9ZHUw95wb6L3iPsrmf\nUL95E2nTZ2CLO/AOedEzSMv8TM1FvqxwJbmFq6horAQg0hbBUWnjGJucg4rPxiZF3usVbC1g+9NP\nkVhdRElEIjFX38C5R6huz5EUF8GvLsxh2YZiXvtc8/qqGkYOncL5aT9St2IZ2x+4j/RbbiNiwMBu\nzyZ8RxrnELhNN5vLt7G8qLnIPS/ZIm0RHJ12JGOSc1DxA6XIRYsf5y3H8taLJDpr2JM5gnF33ExE\ntP+uGGUYBkcoB4P6xvLyJ+vJ3VTMlrBR3PiLvvD1f9n5+COkXns99nHj/ZZRHB5pnw54inwrywpX\nkVu0ikpvkUfZIpnYUuTZcvpasQ+ny82nb3xG1nfvE2Y2UTvpNCZddUnAvFksJjKUWy8YyfzcAmZ/\nuZEnt8dy2UmX0vfb99n1j1k0TSkk/vQzAyav6Dwp9Xa4TTdrCjcwb8MicotW7y3ykEgmpo1nbHIO\ng+MHSpGLdlXXNfG/v7/DmLVfYBoWIi67hsEnTPZ3rP0YhsEJYzLon2bn2fdX8fpWmHzkxRy75iOK\n338XZ2UljounyjtRexgpdS+36WZT+ZaWEXlVo+d8KtEhURyTPp4xyTkMjpMiFwe3q6SGubPe5Jjt\n39FkCyPjV7cTN2yov2MdVFZqDH+8+kj+8cFqvs0rp3DgOVyw8zPKv/wcd20tKVdN8/mRMaLr9OpS\nd7ldbCrfyrKilawoXE1V094iP2nAJIbGDGVQ3AApctEpmwsq+GbW60za/RPOsEgG3H03EZn9/B2r\nU2IiQ7njktG8/rnm2xW7+HfyyVxt+4bKH77HXV9H6vU3YgmRUzn3BL2u1F1uFxvLt7Qcfth8UYno\nkCgmpU9gTHIOg+IGkJoS1yOOXRWBYdWWEpa+8BqTinNxRcWQPXMmoalp/o51SGxWC1edNoTEmHDm\nfLeVWfbJ3Ji1iOplS9n1j+dIn3ELhq3XVUaP0yu+Qy63iw3lm1leuIoVrYrcHhLNsRlHM8YxUq7V\nKX62RWt2s+bVNzm2JBd3XALZd88kxOHoeMEAZBgGZx/Tn4SYcF7+dD1Ph07g1v4GNStyKfjHc6Tf\neLMUe4CxHYexAAAZF0lEQVQL2u+Oy+1iQ9lmlhWuZEXxamqaagGwh0YzOeNoxiTnkB3XXy4qIQ7L\nV0t3svHtOZxYkgtxCQy8515CEhL9HeuwHTMyDXtkCM/NWc0ztiO5pZ+bmtzl7Hrh76TdMEOKPYAF\n1Xdmb5GvYEXxmpYijwm1MzljImOTRzJQilz4yOc/5rHh/Y84pWQpRmwcWXfPDIpCb5YzMInbLxrF\nM++u5Bn3BG7t4/ZsinnxedKuv1F2ngaoHl/qLrcLXbaJ5YUrWVG0hhqnp8hjQ+0c12ciYxw5DIzL\nkiIXPvXZj3msn/MJpxf/iGGPod9dv+uxm1wOZmi/eO6cOpqn3l7B38wJ3JLupnrJT+wJCSVl2rVy\nuGMA6pGl7nK7WO8t8pXtFPnY5FEMiO0nRS66xKeLt7Pmv19wdtEijKhoMu+6m9DUVH/H6jLZGbH8\n9tIxPPFWLs9xNLekOKlcuABLVBSOSy6VNygFmB5T6s1FvqxwBSuL1lDr9Fyz0VPkxzA2OUeKXHS5\nTxZtZ+nH33LhngUYERH0vfMuwtIz/B2ry/VLtfObqaN5fPZyZpkTuTlhPuVffo41OprEs87xdzzR\nSkCXutPtRJdtYpl3RL63yGM4vs9YxkiRi240d3Ee389dzGV7vsFqs9H3V3cQ3kOOQ/eFzBQ7d04d\nzeOzc3meycxwfkXJB+9jjYom7oQT/R1PeAVcqTvdTtaXbvQcfli8hro2RT42eRT9YzOlyEW3mp+b\nzxefLePK3V8TYrpIn35rt1wSLtBkpcZwxyWjeOLNXF6KP55rnV9Q+J/XsERFEjP+KH/HEwRIqTcX\n+bLClawsXttS5HFhsRyVegRjknOkyIXfLFqzm/c/yuWK3V8R4awn+YqriR4z1t+x/GZgeix3XDya\nJ97O5TXzeK7c/SW7X/on1shIokbk+Dter+e3Uu+oyMem5JAVI0Uu/Gv5hiJe/XAFv9z9NbGNVSSe\ncx5xxx3v71h+l90nll9fNIon387lzZQTmLrrSwpmPUuf39wt52P3s24v9WUFq5i3cTEri9dQ56wH\nvEWedgRjk6XIReBYs62UF+asYMru+STXlxB73PEknH2uv2MFjMF947h1Sg5Pv7uC/6ZN5tydX5P/\nzFNk3n0PoWnp/o7Xa3V7qT/y3SwA4sPiWi4skRXTV4pcBJRNOyv427srOH339/Sr3UXUmLEkX3al\nHL7XxvD+CUw/ZzizPjCJTjuGXxR8z86nnqDv7+4Fh93f8Xqlbi/1KcNOp3/EAClyEbDy9lTx1Nu5\nTN79I0OrthGePcjzDkp5o027jlDJTDt9KP/6BKLT6pmwawn5f30Cx2MP+jtar9TtP6VTR54jhyGK\ngLWzsIon3solZ88KxpWvIzQ9nYxbbsMS2vUXiO7JJuWkcekvBjEvciirk0fQWJDPugcfwd3Q4O9o\nvU5AHP0iRCAoLq/jsdnLydy9nhNKlmGLjyfj9juxRkf7O1qPcPKRfaltcPLhdxDlqqf/uvW4n59F\n+s2/kvPEdCMZLgsBlFc38Jc3c7EXbOasooVYIiPJuP03QXWCru5wzjFZnHRkX96Jm8Ce+L7UrFzB\nnldfxjRNf0frNaTURa9XXdfEE2/lYtm9g4uKvsNitZB+y22EZQT/2/99zTAMpv5iEEfnZPBG/CTK\n7MlULviO4vff9Xe0XkNKXfRqdQ1Onnp7BbX5u7isaB4Wt5PUG2YQOVj5O1qPZTEMrj59CEeMyuTV\npOOpiYyn7NOPKfviM39H6xWk1EWv1eR08bf3VlK4Yw9XFs8jpKGOgdOvxz72CH9H6/GsFgt3XX4E\nAwam8arjBBrCoyl6azaVi37wd7SgJ6UueiWny83fP1jDlm2FXFU6n4jaChLOPpfU007xd7SgEWKz\ncsuUHBz9M3jdcQLOkDB2//slalav9He0oNZhqSulDKXU35VSPyilvlZKDWgz/VKl1CKl1HdKqVld\nF1UI33CbJv/6eB2rNu7hirLviaksInby8SSec56/owWdsFArt184isjMTN5MPh43BgWznqVuy2Z/\nRwtanRmpnweEaa0nAjOBJ5snKKXCgQeA47TWxwJxSqmzuiSpED5gmiavf76BRWt2M7VyMY6ynZ53\ni14u7xbtKpHhNu64ZBTuvgN4P/lY3E1N5D/zFI27CvwdLSh1ptQnAXMBtNaLgXGtpjUAE7XWze8w\nsAH1Pk0ohA+9980W5i/byXk1ufQt2kTEoMHybtFuYI8M5c5LRlOZMZhPHUfhrq5m51NP0FRa6u9o\nQaczP8kxQEWr206llAVAa21qrYsAlFK3AlFa6y99H1OIw/fxwm18smg7JzVohuxeRWhGH9Ll3aLd\nJt4exm+mjmZHxgjmJ4zBWVpC/l+fwFVd7e9oQaUz7yitBFqfmceitXY331BKGcBjwCBgSmce1NFD\nTvQjOX3LnznnzN/Ee99sYVLTVsbt/JHQpCRyHvgjYUn7v7moJzyfPSEj7J/T4bDz0E3HMPNZk2h3\nPeMK1lH4/LMMv/+PWMPC/JSy5zyfndGZUl8AnAW8q5Q6CljVZvoLQJ3WutN7mYqKqjqf0E8cDrvk\n9CF/5vzipx3M/moj45vymJT3PVa7nfTb7qDSDIU2mXrC89kTMsKBc4YZcPvFo3jsDReRzjqGrVvP\nqj8/6rfTCfSk57MzOlPqc4CTlVILvLenKaUuBaKApcA04Dul1DzABJ7WWn946JGF8L2vlu5k9lcb\nGe0s4MQd32KJiCDj17+R8337WWaKnV9fMpon33QRsb2R/t7TCaRcfY3ssD5MHZa61toEZrS5e8Oh\nrEMIf5i3PJ83vtjAcFchp+2YhxESQsZtveti0YFsYEYst108lmffcnPB1k9hwXdYY2JwXHCRv6P1\naLLLXwSlb1cU8NpnmsHuYs7e+RWGxULGrbcTMTDb39FEK4P7xnHr1HF82O8USkNi5HQCPiClLoLO\n/OX5vPLperLdpUzJ/xrcbtJm3EzkkKH+jibaMahPHDf98ig+6HcKVdYIit6aTfn8r/0dq8eSUhdB\nZe7iPF79TJNtlnLhzi+gqZG066cTnTPa39HEQWT3ieX6K47lg6xTqbGGU/j6q5R/LUdH/xxS6iIo\nmKbJh99v5e15mxhqlHLBjs/B5SRt+gzs48b7O57ohIEZsVx91Qm8n3U61dZwCv/zOmVffeHvWD2O\nlLro8UzT5J15m/nw+62MtJRy7rbPweUibfpN2I840t/xxCEYmB7LNVefwAcDzqDaGkHR7DdkG/sh\nklIXPZrbbfLaZ5q5P+Yx1lbKmVs/A7eL9Bm3yCl0e6j+aTFMv/YXfDT4rJZt7KVzP/F3rB5DSl30\nWA1NLp6bs4r5uQUcY9nNKRs/xTBN0m+6lejRY/wdTxyGjKQobrruRD4fdi6V1kiK332bwnfflsvi\ndYKUuuiRqmob+cvs5SzfWMzp1h0cu/ELLCEhZNx+J9GjZKdoMEiKjeDm607k69EXUBISQ/ncTyj4\n10uYLpe/owU0KXXR4xSW1/HQa0vZnF/BJdZNjNLzsEbb6fPbmXLYYpCJiQrllmnH8eNRl7ArLJGa\nhd+z/W/P4G5s9He0gCWlLno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f8WQ9XWvd4N9Y+3kXeNk7GrYBtwVgxtY69T2XszQKIUQQ\nkTcfCSFEEJFSF0KIICKlLoQQQURKXQghgoiUuhBCBBEpdSGECCJS6kIIEUSk1IUQIoj8P9fS5FSL\nPJfhAAAAAElFTkSuQmCC\n"
},
"output_type": "display_data",
"metadata": {}
},
{
"data": {
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IEUYk1IUQIoxIqAshRBiRSxqFCBM1b/yd5tXfBHWfjlmHkHbuBXvc5oMP3mXlyq9wOp00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\nE0EUH2vn1nkHo7JTeSn2UPI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},
"output_type": "display_data",
"metadata": {}
},
{
"data": {
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qOLgLUwooTMkj2Zoc7WcTolsK+Zup+exTqj/+EKO5GXtBIVlHH4Nrr70xWSyk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\n"
},
"output_type": "display_data",
"metadata": {}
}
],
"source": [
"# GoodFellow et al. 2014\n",
"train_iters = 10000\n",
"k = 4\n",
"shape = (M, 1)\n",
"histd, histg = np.zeros(train_iters), np.zeros(train_iters)\n",
"tzs = np.linspace(-1, 1, M).reshape(*shape)\n",
"costd = np.zeros(k)\n",
"\n",
"for i in range(train_iters):\n",
" for j in range(k):\n",
" x = np.random.normal(mu, sigma, shape) # sample p_data\n",
" z = np.random.uniform(-1, 1, shape) # sample noise\n",
" costd[j] = opt_d(x, z) # update discriminator D\n",
" histd[i] = costd.mean()\n",
" \n",
" z = np.random.uniform(-1, 1, shape) # sample noise\n",
" histg[i] = opt_g(z) # update generator G\n",
" \n",
" if (i + 1) % (train_iters // 10) == 0:\n",
" plot_fig('Training step %d' % (i + 1))"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10bf35e10>"
]
},
"execution_count": 25,
"output_type": "execute_result",
"metadata": {}
},
{
"data": {
"image/png": 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FTgNLlFKfa60LGjte59QOHDt1/Mxz7AeGYXDesE5EmQyG92nL3S8taXT70tNV\nTHGOLHrr5QOIi4mmT276GZ/farNy1w8PM6HrKC7tcpE7/ZMdXzLvwCLiBkdhRFmxnsiiQ3bjQ1wI\nIcSZ8uUJYCdwaT3pfYAdWutirXUVsBgY7+1ghmFgJ/SNnOZoEz8d0Zn05Fg6ZCf6vN/sTzbyzPtr\nPUbrbKriyhIsdiv/270YgH3FB/h817fMO7AIACPKCkBU2rEzPocQQnjjNQBorT8D6pucNgWoOahO\nCZDq/YRGi+vl8sTkETz426FN2ueW5xae0bk2F2pmrX3NvfzqhreZsXo23+1rHXMXCCHCh9cqoEYU\n4wgCLsmA1070hmFgNyA7O7kZp/a/tm1S+PegDvz96y18tsD7i2EVVVYSk+NIiKs7SX1jXp73N4/l\njce2NLp9SyunQIqk7+qNlEU1KYvAaUoAqD0t1Vagh1IqDSjDUf3zjNeDGAY2m42CghJvm4bEhWd3\n9ikAAFz10Df8ZFgnuuYk8/qXW5hx8yiyUuM9ttlzuJiM5FhSk2I5WdH07p0ttZz8LTs7OWK+qzdS\nFtWkLKoFIhA2JQDYAZRSVwOJWus5Sqm7gO9wBIc5WuvD3g6y/2QeVbaWPS7/a/dM4JMfdvHdqgNe\nt/3v6upt7ntlGTdd1I+B3TNZuukIVfYKPl6zAntRW578Y1+mrnyuyXnZfXIv3VK7NHk/IYTwxgh2\nffyVH9xsB5g9cRomo+W+hnCitIJH5qzg8gndeWeubvoBTFZi1GqikouwHOlMdLszH3Du+QlTMZua\nU1vX8smdXjUpi2pSFtWys5P9Pjl40K/A3dI7A2C124J96iZJS4pl9h3jmTC4A49dN7zJ+8ed9T1R\nyY6+/M25+ANsO769WfsLIUR9gh4AUuMc7ca2Fh4Aasptl+x1aOnaDJP/vl/B6UK/HUsIIVyCHgCi\nnNU+Nrs12KdulugoE/ddPQSA63/eu/GNo/zbxnGq8pRfjyeEEBCCAGAyOU7Z0quA6tM7N503H5jE\n6AHtnCl2orIOEd2hRhWNuZz4od/79by2FvDinBCi9Ql6y2KUEQWEVxVQbVEmE7+6JIGv8j51pxmx\n5ZgSijEllDay55k5VSVPAEII/wthFVD4BgCA5ccXeCxHZ+UF5OIPsCRvZUCOK4SIbEF/AnBXAdnC\nMwCUWyq4e+Ejoc6GEEI0W/DbAML8CeCj7Z+HOgtCCOEXIWwDCI9eQHa7ndOWcuYfXMw3e/4b6uwI\nIYTfhCCvbwadAAAZiklEQVQAhFcvoHe3fsTyI6tDnQ0hhPC7oFcBfe8cA/9IWX6wT92obcd3sLd4\nP6XOHjfllgqqrFVBufhnxqVzYbfzGZw9gIu7/zzg5xNCCAjBE4Drzn/10XWc1WZgsE/foNnr3nB/\nntL/t/xt07t+Oe6QNgMZ1/5svt37P8zH+mCuSmNb0kdUWCvd24zMGcb5Xapn/vp817d+ObcQQjQm\nZCOMZcad+ZSK/mK32zGMuuMr+ePi/9CIu2if1M69rDJ6uD9XWfsy78Aivtg9F6g7zvYfBk3m5fVv\neqQdOXWUdoltm50vIYRwCXoV0C97nQtA3wwV7FN7eHPTezyw+MmAHPv83EkeF//azFFmflbjjt+o\n9WPol1l3qIkyS7n/MiiEEIQgAKTEJgGEfF7gNfnrKa06xbbjOyirKvPrsVNjU7xvBJzfYwIAKqO7\nX88vhBC+CHoVkKvKJRTvAaw88iPrCjZxTZ8r3Wk16/6b45o+V5ISk8yh0sOMaT/Sp32uP+tKxrcd\nR2ps3Zl+po19tNYTiowHJITwr+C/CezsBhrMJ4AqaxUVtkr+vuVfAKwv2NTsY57TcTQ/HFwKwEuT\nZrjT+2b6XrVlGEa9F3+A5Jik5mVQCCG8CEEAcD0BBDYAVFgr2XtyP3uL97sbW/3l8p4XMqnTOCZ0\nHFOn/j5w/D4ZkBAiwrXKJwC73c5dPzzs12O2Scgiv+wY8dHxTOo0zpmW7ddzCCFEMAW/DcB5J+vP\nuYjtdjulVaeIiYqhrKqM6ate8NuxAZ4/5ymiTdEUnC4MWffV+QcW0S01NyTnFkK0Tl4DgFLKAF4G\nBgHlwA1a69011l8KPAjYgLe01q82djyLzTEGUEmlfyZ63nliD//dt4BNhVv9crz6mKPMgOMpIJiu\n6HkRH+/4AoC1+RuDem4hROvnyxPAJUCs1nq0UmokMNOZ5jITGAyUAVuUUu9rrU82dLBvdswD4IPt\n/2Z8x9FnnPFPdnzJvAOLznh/XyWZEwN+joaYTdU/nlB3mxVCtD6+BICxwFwArfUKpdSwWusrgXSq\n+yk2eqUqLCtqah7dLDYLFdZK1hds8vvF/6Ju59M/qw+f7fyaCR3HYDaZ2V9ykLEdzvbreZoiXAbM\nE0KEJ18CQApQ847eopQyaa1dV6dngTVAKfCp1rq4sYNFGaYzurAtOrScf+lPvW94hlxv5v5x8A3u\ntJrDN4RCqN+WFkK0br4EgGKgZmd198VfKdUJuBXIBU4B7ymlLtdaf9LQwUymKKxWRwDIzq6/D3xt\nOwv3+uXiPySnP2sPbyIzPp2RHQdjsVv5budCclM7+JwXf2vsvGnWOJ+3bQ1a+/drCimLalIWgeNL\nAFgCXAB8rJQ6G6jZGhkHWIAKrbVdKZWPozqoQVGGiSrn54KChhuCrTYrVruN0qpSHlk63YdsNqx7\nalfuGnqz47jKimEY7u6oP2v/E2KizI3mJVCys5ObdN5Q5DFYmloWrZmURTUpi2qBCIS+BIDPgJ8o\npZY4l69XSl0NJGqt5yil3gGWKqVOA7uAtxs7mGtCmMb8Z+88v728FWMy8/uB11af3xTlsT4uOtYv\n5xFCiHDjNQBore3AzbWSt9dY/xzwnK8nNNW6ANeUV3qEp1bO9PVQ9Xpp0gzsdjsnKk6SHpfWrGMJ\nIURrFvQXwTLiUimpKK2TvuTQCv7ZcNOBV+0T23Fdv6sBxxg7cvEXQojGBT0AXDP4cv7ywwses4Ed\nLSto0sW/c3IHrlKX0iWlMza7zV2fL4QQwndBDwCpcY6GjOSYJHYU7eL5ta81af+aI28CcvEXQogz\nFPSrp6sR1mqz+nzxv1pdBjhm2hJCiNbCZrdxOoSz/QU9ALju2BfnrWh0uyn9fwuASu/BmPYjefzs\n+/llt58GPH9CCBEst85/gHsWPkpBWaE7bXvRTvaXHHQvV1oruWXefQE5f9ADQKWlstH1MSYzsydO\n46w2A3lm3BP8cfANGIZBdkJmRFb3ZMdnhjoLzVZSWcr8A4upsllCnRUhQuaxpdO4Zd59rDm6HvCc\nFfHx5Y53ncotFcxa+zrTV71AUfkJAJ778ZWA5SnoV1TXyJoNeWjkXe4LfYI5PiIv+jU1ZYaxULLZ\nbeSVHmH3yX3ct/BxHl4yFatz5NcHFj/Jxzu+4I4FD1JprfJyJCHCX5W1iv/snUdJZXWPx2PlxwF4\nc/N7ABw5lV9nv33FB9yfX1w3B4CyqtMBy2fIqoBqy4rP5O6ht5DVCu54/Sk1xrcJ5kNlX/EB3tr8\nTx5eMpWnVs7k2TUvccpSRlHFCZ5e9XydeR/u/OEhjp0ubOBoQrQshaeP8+DiP1Npra65KKsq40DJ\nIY/tthft9Biy/Yvdc/li91z3vN5lVWV1jn2krPEA0C+rN0BAu7QHvRdQVkLdkSJemPB0nTd0hYPR\nAqeCPHb6OIsPLWfnid3sKd7vTu+f2ZtNhdswm8xU2ao4fOqoR12my2PLpjN97GMkxYRuqG0RWQ6V\nHmbXiT2MaT/Sfa1xXZQTzAkAFJWf4OGlUxmQ1Zf/G3gddrudR5dNA+DOHx7mpUkzKKksdV/U/zBo\nMv0ye5NXeoRZa18H4MlRfyI9LpWVR350n/tkRQl5pw575KfSWkV+WUGdfNYMCq4nhKLyEySbAzNH\neNADQO0qoPaJ7eTiHyaOlhUw/8BiVh35kXJrBQBt4rO4sPv5DMrq5/FzdDVafbXnu3qPdf/iJ+p0\n6Q00q82KzW7zWg3pi03HtvLKhreYNWEq0ab6/4yOnMqnqOIEfTJ6Nfn4ZVWnSTDHA1Bls/Dk8mdo\nE5/FrUNuBOAD/W/KLGVc1/dqDKP+mwS73e5eV1R+gn0lBxmU1Q/DMPh2z/d8tec//Kb35YxpP5LS\nylO8ufk94qPjuaLnhaTHpbGv+AD/3f8DI9oOYWB2P6psFvTxHWQnZNE2IRu73c672z5i+eHV3Dr4\nRnpn9GR70S42HNvMwKy+9EzrjmEYHC0r4Pv9CxmU3Z9+mQqrzcqOE7s5fOooI9udRYI5gYMleXy6\n8yvSY9O4pMcvSI5JIq/0CK9ufpP06HSu7HUJJVWlPLn8GSw2K3ecdRNdUjpzoCSPpXkr6Z3RgwFZ\nfamwVvIv/SlHT+VzXu4EhrUdzLbjO5i97g0A8k8f44qeF/HOlg9YcWQNCdHx3DvsVtLj0txVLhuP\nbaHcUuFxNw6O4ej/t/8H9/KiQ8vol9nbY9iaJXkrGJTdj9KqU+60LYXbKLN4VuPsOrmH/LJjgGPO\nkdKqUxRXlrC9aJc77fCpo1TZLBSWFwVsNsCgB4CaftXzYkbmnBXKLLR4oZ4IxmKzsOroOhYdWub+\ng0gyJ3JV95/TJbUzOYntPCauqW1LoQZgfIfRLDy01GPdLfPu49xO47ms5wU+5aXCWsnSvJXsOrGH\nHundOFiSx7LDq87oe03p/1v+tuld93KHpBwu63GB+0IRbYpmQscxHn/wLj/vci7f7v0egNsXPEjv\n9J5sK9rhXh8bFUOF1bOzg2tOaZf46Dh+ljuJ7/bNp8xymvTYNLqndaFLSmf2bNvDmryNqPQedEvt\nwoKDSzhtOc3x8iK+3fM/jpYVsOroWmeZVNAtpQvzDi6ipLKUjknt6ZLSiR/zN7gvOsPaDmZdwSYs\nNgtpsamo9B6sOLIGgH9u+4TMuAz39wbILytgUHY/93dcm7+BzLh0Cssdc3mYDJNHAybA7HVveJTp\n/AOL65Tbknp6/rlmvKtp+ZHVddLA8Pj9eX3DO9ixU+ycWdC1Lj02jaIKR+PpW5v/yc4Te1h0aJl7\nv/kHFpMSk+z+/mWW0zyxfAa5yZ087r6X5q1guXObrPhMjp0uRBftYkneSswmM+mxqWwp3M6h0sNs\nPLaF9Ng0yixl/Ji/3h24Xb/ze0sOUOHs/OL63TlYkkfB6UJMhomzc4bxv/0/cLj0qDvvHZJy0EU7\nOVSahx07bQM0/7jhz7l5fWR/8n+zOFR6hL+MeTDY525RfBnpsObAeMG8Yy48fZxPd36FLtrp7qfc\nM60bI9oN5eycoV4b57/YNZf/7JvnXn7s7Pt47sdX3H+wtd08/Bp6JfRm+eFV9ErvTtuENlRYK3lr\n83tsKtzmvy8WoQyMOjcTI9sNdV8IARKjExjSdiCLDy13pw3JHsDaguq6bbPJTFx0rLtxMzMunePl\nJzyOfV7nczhUepitx91DhtE9tSu7Tu7xOP/ETmPrBIo+Gb089hvQtjcbj3r+/Cd1GucxIdT5uZPQ\nRTs9qiPvH3Yb01d7zg3+G3W5x4gDOYltOXzqqMc2tw+5iVm13k+686ybPXrimAwTF3b9GZ/v/rbG\n9+tCkjmR9cc2u9MeHnk3z6yeTWpMCkUVJ7DYrDwx6n4eXTaNwdkD2H1yL2aTmQu7/Yy3t7zPhd3O\n58vdczEZJsZ3GMWCg0v4ae5Evts3n0u6/4LfDLvQ7/XBIXkCuHnQ5FCcVnhRaa3ihbWvc6TsKOWW\nCuzYyYhLZ2S7oZzTcUyT5kROifEcurZNQhZ/Gf0glbYq7ln4aJ3tX1n1j2blvVNSew6U5jXrGC5t\nE9pwtCyfxOgEbh50PYdP5fP9/h+Y0GkMNrudfcUHaJ/UjnM7jeel9X+juLKES7v/Eovdwqoja1mT\n7+jm92t1KX0zFI8um8aIdmcxtM0gCsuLOF5eRJeUzpRVldEjrSspscmUWyoorixhz8n9qPa5tDN1\nYG/xfnad3Evn5A70Su/BgZI8vt7zHe0T2/HT3AlU2Syszd9AbFQsPdK6kRGXxraiHRwqPczg7P5k\nxWdysCSP1UfXMaTNADomteeL3XPZdWIvI3POYlyHUaTGpvDdvvkAPDn6T0QZJncAmNBxDL/qdTHz\nDizikx1fAvDs+Cex2m3c+cNDADwy8h7swNSVMylwNu5f2uOX2Ow2bp3/gLtM7xp6M5sLNS+v/xsA\nL06cjmEYxEbFMtf5pDF74jSsNit3OI+dEpPMIxNuZ+q8l1nnDEIvTHiaSluVOwB0Tcnlwu7nM6mq\njPsWPQ7AdX2vpnNKR49gMqX/bxmc3d8jADw04i72Fu/nr2tecqf1Su9e5/ehdvVLsjmR4e2GeASA\na/v+mp0ndnsEgJzEtvTJ6MW6gk3utIy4dGKjYtzfR6X3oENSDgBfOm/0EqLj6ZTcAcD9BJodoPnI\nQ/IEION7O/jyBFCz0SlQTwBF5SdYm7+BBQeXuB/z2ye2Y3zH0Yw7wykxrTYrty34k3u5Zt4LTx93\nN641RaI5gSdGPUB8dJz3jb2oWT/uUmWt8kv7QHMFewz8cks5cc0s00prFXbsxEbF+ClXDg2Vhd1u\np9JW1ej57HY78w8upltqLl1SOrvTC08XkR6X6n6KfW/rxyw9vJLnz3kKc5SZjce28OqGtwGYMe5x\nEs0JHi9izZ44DZNh8kh7adKMOkHvpUkzmLt3nvvC7kqruV+HpBweGH67x36ZcencMmgKT674qzvt\nwRF3Mrhrr9bxBCB8lxwTmNZ/gPyyY3y68ys2HtviThvaZhC/7XMlMc28ENZsEO6c3NFjXWZ8Bi9N\nmsH8A4vrrQN2ua7v1fTJ7EWS2f+9heprOG0JF/9QaO7FH2j270tTOZ4eGg82hmEwqdO4OumZ8Z49\nEf9fnyv4f32ucC8PyOpb52Zr9sRp/HBwKaNyhrsDx4sTp3Oo9LD7Dt5kmLhxwLW8sfEdpo99DIBz\nO4/3CAAA0UYUFrvjHZlDpYfrVKeq9J60TWzjkdYuwXPZXyQARJhtx3cw/8BiNhVudae56jQHtenv\n18am2ROnsfX4Dvo20AtmYqexTOw0lpLKUo7Zj2Ivj6Jbahe/nV8IfzEZJiZ2GuuRZhgGHZPbe6QN\nzu7vETzMpmhmjHucT3d8xeXOzg43D5rsbnR/eOTdAAzM6scGZ/XRkDYD6pw/UD0lJQBEgMLTRTy6\n7Ol6113X92qGth0UkDeuTYaJfj68yZwck0S37ByZ+k+0SonmBK7pe6V7WaX3ICs+k/TYVHIS2wIw\nud9v3G0fvTN6AvD42ffz+PLpXNbDt15yZ0ICQCtVaa3kzh8ebnD9HUNuomc9DV5CiMAyDIMnRt3v\nkWaOMrsbxl2yEzID3vNPAkAr897Wj1jaQN/4q3pdwviOo4OcIyGELxp6oS+QJAC0Eg01qJoME7Mm\nTI34QfWEEHV5DQBKKQN4GRgElAM3aK1311g/HHjWuXgIuFZrLUM+Bknt7pYuT4y6XwbWE0I0ypfb\nwkuAWK31aOBPwMxa618HrtNajwe+B7r6N4vCpfbr90Cdi/9lPS7gpUkz5OIvhPDKlwAwFpgLoLVe\nAQxzrVBK9QIKgbuUUguANK319voOIpqvdgCoPUvQS5NmcG7n8cHMkhAijPkSAFKAkzWWLUop135Z\nwCjgBeA84Dyl1AS/5lC41QwADy+Z6rEu2CNrCiHCny+NwMVAzYFdTFpr15WoENjpuutXSs3F8YSw\noLEDZmcnN7Y6ovhSFu2T25JXcpT0zAT3SIOuUQMBPrwqcFPGBZP8XlSTsqgmZRE4vgSAJcAFwMdK\nqbOBjTXW7QaSlFLdnA3D44A53g4oL/w4+DrmS3ZcNnklRzlacJIks4Xpq2a51704cXqrKM9gj3/T\nkklZVJOyqBaIQOhLAPgM+IlSaolz+Xql1NVAotZ6jlJqCvC+Ugpgqdb624YOJM5MlLMLp6sKaH+N\n6ehC0XdYCNE6eA0AWms7cHOt5O011i8ARvo3W6ImU40AcKi0emq5x8++v6FdhBDCK3k7KAxEGY6B\noKw2G1NXPudOz06Qrp5CiDMnASAMmGpVAQGkxaaGKjtCiFZCAkAYqA4AVnfan0bcEarsCCFaCQkA\nYcDVCOyarQsIyCQpQojIIgEgDLieAL7e898Q50QI0ZpIAAgDrkZgi80COCbrFkKI5pIAEAZcTwAH\nS/MAGNJmYCizI4RoJSQAhIGoWmP5u6aRE0KI5pAAEAZqT+aSaE4IUU6EEK2JBIAwYHK2AQghhD9J\nAAgDtauAhBDCH+TKEgZMJvkxCSH8T64sYSCqRhWQDAEhhPAXCQBhoKyqzP35/uG3hTAnQojWRAJA\nGPj+wEL358Ro6QEkhPAPCQBhIC02zf05yiQ9goQQ/iEBIAyMyhkW6iwIIVohCQBhoHNyx1BnQQjR\nCvkyJ7AIsV7p3clN7sSo9vIkIITwHwkAYcAwDO4bfmuosyGEaGW8BgCllAG8DAwCyoEbtNa769nu\nNaBQa/2g33MphBDC73xpA7gEiNVajwb+BMysvYFS6iagv5/zJoQQIoB8CQBjgbkAWusVgEdFtFJq\nFDAceM3vuRNCCBEwvgSAFOBkjWWLUsoEoJRqBzwG/BEw/J89IYQQgeJLI3AxkFxj2aS1tjk//wrI\nBL4BcoB4pdQ2rfU7jRzPyM5ObmR1ZJGyqCZlUU3KopqUReD4EgCWABcAHyulzgY2ulZorWcDswGU\nUr8DlJeLvxBCiBbClwDwGfATpdQS5/L1SqmrgUSt9ZzAZU0IIUQgGXa7PdR5EEIIEQIyFIQQQkQo\nCQBCCBGhJAAIIUSECtpYQL4OKRHulFLRwJtAFyAGeArYArwN2IBNWutbnNveCPweqAKe0lp/rZSK\nA94F2uDogvs7rXVhkL+GXyml2gCrgfMAKxFaFkqpB4CLcPzdvYijh93bRFhZOK8FcwCF4/fhRiLw\n90IpNRKYprWeqJTqTjO/v7OX5vPObf+rtX7SWx6C+QTgdUiJVuK3wDGt9XjgfBx/6DOBB7XW5wAm\npdTFSqm2wK3AKOd2TyulzMDNwAbn/v8AHgnFl/AXZ0B8FXDNaxmRZaGUOgcY5fz9nwh0J0LLAvgp\njl6EY4E/A1OJsLJQSt0LvAHEOpP88f1fAX6ttR4HjFRKDfKWj2AGgEaHlGhFPqT6BxIFWICztNaL\nnGnfAj8BRgCLtdYWrXUxsAPH05G7nJzbnhesjAfIX3H8YubheFs8UsviZ8AmpdS/gS+c/yK1LMqB\nVOeTQCqOO9ZIK4udwKU1loc24/ufq5RKBmK01nud6f/Bh3IJZgBocEiJ1kRrXaa1PuX8gXwEPITn\nMBklOMoiGc/yKMXxx1Az3bVtWFJKXQfka63/S3UZ1PyZR0xZAFnAUOAKHHdw7xG5ZbEYiAe24RhD\n7AUi7G9Ea/0ZjptDl+Z8f1daca1jpHrLRzAvwI0NKdGqKKU6AfOAv2ut/4WjXs8lGTiBozxSaqUX\n4VlOrm3D1fU4XiKcj+PO5R0gu8b6SCqLQuA/zru57Tjvgmusj6SyuA9YorVWVP9exNRYH0ll4dLc\na0TtQOhTuQQzACwBfgFQe0iJ1sRZb/cf4D6t9d+dyWuVUuOdn38OLAJWAWOVUjFKqVSgN7AJWIqz\nnJz/LyJMaa3P0VpP1FpPBNYB1wDfRmJZ4LjrPR9AKdUeSAS+d7YNQGSVRRLVd7AncDSKr43QsnD5\nsTl/F1rrEqBCKdXVWbX2M3wol6C9CVyjF9BAZ9L1zjuhVkUp9TxwJY7HWwOwA7fjGDPJDGwFbtRa\n25VSU4CbnNs9pbX+t1IqHvg7jsH1KoDfaK3zg/9N/EspNQ/4Pxzl8QYRWBZKqWnAJBzf8U/AXhy9\nYSKqLJRSacBbOKrFonH0XFlDhJWFUioXeF9rPVop1ZNm/l0opUYAs3Dc2H+ntfbaOC5DQQghRIRq\ndY2wQgghfCMBQAghIpQEACGEiFASAIQQIkJJABBCiAglAUAIISKUBAAhhIhQEgCEECJC/X+KvrIx\ncGj9CQAAAABJRU5ErkJggg==\n"
},
"output_type": "display_data",
"metadata": {}
}
],
"source": [
"plt.plot(histd, label='opt_d')\n",
"plt.plot(histg, label='opt_g')\n",
"plt.legend()\n",
"plt.title('Training results')"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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XE4blk2TbcVB79QpKnp9FsKIC59Bh5F8+Das7tjFadkZ+5x0rJ8fdYaG+5eiX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\n4Vkmf0yvLuUAAAAASUVORK5CYII=\n"
},
"output_type": "display_data",
"metadata": {}
}
],
"source": [
"plot_fig('Final Result')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
""
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3.0
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.0"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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