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@tbekolay
Created October 28, 2015 21:29
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Theano-backed RNN in Nengo
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Using gpu device 0: GeForce GTX TITAN X\n"
]
}
],
"source": [
"import nengo\n",
"import numpy as np\n",
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"\n",
"import nengo_deeplearning.backends.theano.optimizers as opt\n",
"import nengo_deeplearning.processes as proc\n",
"from nengo_deeplearning.backends.theano.networks import RNN\n",
"from nengo_deeplearning.backends.theano.layers import Generic, GatedRecurrent, Dense\n",
"from nengo_deeplearning.inputs.mnist import load_mnist\n",
"\n",
"# Need to have 10 separate colors; from http://colorbrewer2.org/\n",
"plt.rc('axes', color_cycle=[\n",
" \"#a6cee3\",\n",
" \"#1f78b4\",\n",
" \"#b2df8a\",\n",
" \"#33a02c\",\n",
" \"#fb9a99\",\n",
" \"#e31a1c\",\n",
" \"#fdbf6f\",\n",
" \"#ff7f00\",\n",
" \"#cab2d6\",\n",
" \"#6a3d9a\",\n",
"])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Train an RNN to classify MNIST"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Epoch 0\tSeen 60000 samples\tAvg cost 0.1140\tTime elapsed 34 seconds\n",
"Epoch 1\tSeen 120000 samples\tAvg cost 0.0750\tTime elapsed 69 seconds\n",
"Epoch 2\tSeen 180000 samples\tAvg cost 0.0620\tTime elapsed 103 seconds\n",
"Epoch 3\tSeen 240000 samples\tAvg cost 0.0511\tTime elapsed 138 seconds\n",
"Epoch 4\tSeen 300000 samples\tAvg cost 0.0475\tTime elapsed 172 seconds\n",
"Epoch 5\tSeen 360000 samples\tAvg cost 0.0329\tTime elapsed 206 seconds\n",
"Epoch 6\tSeen 420000 samples\tAvg cost 0.0306\tTime elapsed 239 seconds\n",
"Epoch 7\tSeen 480000 samples\tAvg cost 0.0344\tTime elapsed 272 seconds\n",
"Epoch 8\tSeen 540000 samples\tAvg cost 0.0270\tTime elapsed 305 seconds\n",
"Epoch 9\tSeen 600000 samples\tAvg cost 0.0288\tTime elapsed 338 seconds\n",
" ====== Results ======\n",
"Train accuracy 0.9968\tTest accuracy 0.9915\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/tbekolay/.virtualenvs/phd/local/lib/python2.7/site-packages/theano/scan_module/scan_perform_ext.py:133: RuntimeWarning: numpy.ndarray size changed, may indicate binary incompatibility\n",
" from scan_perform.scan_perform import *\n"
]
}
],
"source": [
"trX, teX, trY, teY = load_mnist(data_dir='.') # Will download to data_dir if they don't exist\n",
"\n",
"# RNN processes a size 28 vector at a time scanning from left to right \n",
"layers = [\n",
" Generic(size=28),\n",
" GatedRecurrent(size=512, p_drop=0.2),\n",
" Dense(size=10, activation='softmax', p_drop=0.5)\n",
"]\n",
"\n",
"# A bit of l2 helps with generalization, higher momentum helps convergence\n",
"optimizer = opt.NAG(momentum=0.95, regularizer=opt.Regularizer(l2=1e-4))\n",
"\n",
"# Linear iterator for real valued data, cce cost for softmax\n",
"model = RNN(layers=layers, optimizer=optimizer, iterator='linear', cost='cce')\n",
"model.fit(trX, trY, n_epochs=10)\n",
"\n",
"tr_preds = model.predict(trX[:len(teY)])\n",
"te_preds = model.predict(teX)\n",
"\n",
"tr_acc = np.mean(np.argmax(trY[:len(teY)], axis=1) == np.argmax(tr_preds, axis=1))\n",
"te_acc = np.mean(np.argmax(teY, axis=1) == np.argmax(te_preds, axis=1))\n",
"\n",
"print \" ====== Results ======\"\n",
"print \"Train accuracy %s\\tTest accuracy %s\" % (tr_acc, te_acc)\n",
"model.save('trained_rnn.pkl')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Integrating with Nengo"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/tbekolay/.virtualenvs/phd/local/lib/python2.7/site-packages/theano/scan_module/scan_perform_ext.py:133: RuntimeWarning: numpy.ndarray size changed, may indicate binary incompatibility\n",
" from scan_perform.scan_perform import *\n"
]
}
],
"source": [
"trX, teX, trY, teY = load_mnist(data_dir='.')\n",
"trX = trX.reshape((-1, 28)) # Reshape so that each input is one row\n",
"dl_net = RNN.load('trained_rnn.pkl')\n",
"\n",
"with nengo.Network() as net:\n",
" mnist_in = nengo.Node(proc.PresentInput(trX, presentation_time=0.01), size_out=28)\n",
" rnn = nengo.Node(proc.DLBlackBox(dl_net, history=28), size_in=28, size_out=10)\n",
" nengo.Connection(mnist_in, rnn, synapse=None)\n",
" pr_in = nengo.Probe(mnist_in)\n",
" pr_out = nengo.Probe(rnn)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Simulation finished in 0:00:02. \n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7fa5ec3fb390>"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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dPyMiIiIiIoorvZIaqdNxiIiIiIiIIiKkjD0fEULMBrBESrmoK74ZgF9KeW+v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7z3ve891H0kk9Q0XNIjVjrX3Bq6DAhS2fZjIys1WjepUYpFFp98AvXs2fZjpprFOikL2D/s7ch+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\nJiYnNKZRY2JiYmJiYmJiYmJyQvP/AWJz9VKH2bNMAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fa63b455710>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# NB! dt must match presentation time for RNN\n",
"sim = nengo.Simulator(net, dt=0.01)\n",
"sim.run(2.0)\n",
"\n",
"plt.figure(figsize=(14, 6))\n",
"plt.subplot(2, 1, 1)\n",
"plt.pcolormesh(sim.trange(), np.arange(28), sim.data[pr_in].T,\n",
" cmap=plt.cm.binary)\n",
"plt.ylim(0, 28)\n",
"plt.subplot(2, 1, 2)\n",
"plt.plot(sim.trange(), sim.data[pr_out])\n",
"plt.legend(np.arange(10), loc='best', fontsize='small')\n",
"# Digits are rotated left 90 degrees, but you get the idea"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.10"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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