Created
October 7, 2017 05:41
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Simple Dilation Network to generate sine waves
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"%matplotlib inline\n", | |
"from matplotlib import pyplot as plt\n", | |
"import numpy as np\n", | |
"import torch\n", | |
"from torch.autograd import Variable\n", | |
"from torch import nn, optim" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Generate training data\n", | |
"\n", | |
"Generate sine waves with a random initial phase, plus a random uniform noise. " | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"def batch_generator():\n", | |
" while True:\n", | |
" xs = np.linspace(0, np.pi*10, 4096)-np.random.rand()*2*np.pi\n", | |
" ys = np.sin(xs) + np.random.rand(4096)*0.2-0.1\n", | |
" ys = ys.astype(np.float32) # default is np.float64\n", | |
" x = torch.from_numpy(ys[:4000]).view(1,1,-1)\n", | |
" y = torch.from_numpy(ys[1024:4001]).view(1,1,-1)\n", | |
" yield Variable(x), Variable(y)\n", | |
"\n", | |
"g = batch_generator()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Visualize a mini-batch" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"[<matplotlib.lines.Line2D at 0x114a5b400>]" | |
] | |
}, | |
"execution_count": 3, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
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9tI29926cHliSyyhKOQOHRwL+BelaCOP0u9pc3dzN/hiLxdXB+9j5Xiiq9lKr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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x10cbe77f0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"x, _ = next(g)\n", | |
"plt.figure(figsize=[8,6])\n", | |
"plt.plot(x.data.numpy()[0][0],'.', ms=3)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Network model\n", | |
"\n", | |
"Everything is linear. No nonlinear activations. Works surprisingly well." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"class Net(nn.Module):\n", | |
" def __init__(self):\n", | |
" super(Net, self).__init__()\n", | |
" dilations = [1, 2, 4, 8, 16, 32, 64, 128, 256, 512]\n", | |
" self.main = nn.Sequential()\n", | |
" for i,d in enumerate(dilations):\n", | |
" self.main.add_module(str(i),nn.Conv1d(in_channels=1,out_channels=1, kernel_size=2,dilation=d))\n", | |
" def forward(self, input):\n", | |
" return self.main(input)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Network training" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": { | |
"scrolled": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"epoch 0, loss 0.6722\n", | |
"epoch 100, loss 0.5312\n", | |
"epoch 200, loss 0.506\n", | |
"epoch 300, loss 0.5082\n", | |
"epoch 400, loss 0.02417\n", | |
"epoch 500, loss 0.003353\n", | |
"epoch 600, loss 0.003451\n", | |
"epoch 700, loss 0.003418\n", | |
"epoch 800, loss 0.003406\n", | |
"epoch 900, loss 0.003338\n", | |
"epoch 1000, loss 0.003396\n", | |
"epoch 1100, loss 0.0034\n", | |
"epoch 1200, loss 0.00337\n", | |
"epoch 1300, loss 0.00337\n", | |
"epoch 1400, loss 0.003393\n", | |
"epoch 1500, loss 0.003369\n", | |
"epoch 1600, loss 0.003332\n", | |
"epoch 1700, loss 0.003306\n", | |
"epoch 1800, loss 0.00329\n", | |
"epoch 1900, loss 0.003313\n" | |
] | |
} | |
], | |
"source": [ | |
"net = Net()\n", | |
"\n", | |
"max_epoch = 2000\n", | |
"optimizer = optim.Adam(net.parameters(), lr=0.001)\n", | |
"\n", | |
"loss_save = []\n", | |
"g = batch_generator()\n", | |
"for epoch in range(max_epoch):\n", | |
" x, y = next(g)\n", | |
" optimizer.zero_grad()\n", | |
" y_hat = net(x)\n", | |
" loss = ((y_hat-y)**2).mean()\n", | |
" loss.backward()\n", | |
" optimizer.step()\n", | |
" loss_save.append(loss.data[0])\n", | |
" if epoch%100==0:\n", | |
" print('epoch {}, loss {:8.4g}'.format(epoch, loss.data[0]))\n", | |
" " | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Loss during training" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"(10, 500)" | |
] | |
}, | |
"execution_count": 6, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
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gh88FWvPjCtLJS09mUWUDAJfNKN5j3yG+RL48vYgnPt5EXnoSPzxnEv/69CJm/OINPjdp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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x114b7b550>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.figure(figsize=[8,6])\n", | |
"plt.plot(np.convolve(loss_save, np.ones(10)/10))\n", | |
"plt.xlabel('epoch')\n", | |
"plt.ylabel('loss')\n", | |
"plt.title('averaged loss')\n", | |
"plt.xlim([10,500])" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Evaluate model" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### seeding with a training mini-batch" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"x, _ = next(g)\n", | |
"x = x.data.numpy()\n", | |
"n = 10000\n", | |
"\n", | |
"predict_save = []\n", | |
"for _ in range(n):\n", | |
" x_var = Variable(torch.from_numpy(x))\n", | |
" predict = net(x_var)\n", | |
" predict_save.append(predict.data[0][0][-1])\n", | |
" x = np.roll(x,-1,axis=2)\n", | |
" x[0][0][-1] = predict.data[0][0][-1]" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.text.Text at 0x11817e978>" | |
] | |
}, | |
"execution_count": 8, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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GGPMTxpjnGWO+1hhzauq99xpjnp8+9yYNe1xw13WH+czjF3nozFZ0tenPfuChsQ0vvP4w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\nD79RrgAtz4FBHSUWxyvYUwo490OwVwRKx54RvtlZtz/yzlI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q6emHeb6HgfI5CmDHueaf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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x117fcde10>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.figure(figsize=[8,6])\n", | |
"plt.plot(predict_save)\n", | |
"plt.title('seeding with a mini-batch')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"### seeding with random numbers" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"x = np.random.rand(1,1,1024).astype(np.float32)\n", | |
"n = 10000\n", | |
"\n", | |
"predict_save = []\n", | |
"for _ in range(n):\n", | |
" x_var = Variable(torch.from_numpy(x))\n", | |
" predict = net(x_var)\n", | |
" predict_save.append(predict.data[0][0][-1])\n", | |
" x = np.roll(x,-1,axis=2)\n", | |
" x[0][0][-1] = predict.data[0][0][-1]" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.text.Text at 0x118158f98>" | |
] | |
}, | |
"execution_count": 10, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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+uN36eb/8wF5s+NituObTd6FUDe/mq3gCE8v7Z0Z6anJRGNrNu7wU8Qtteu1V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1F9nXEMdMZxxPm7PDaZwgaDYjWCdQOdpc3sCcNyuYLRCq8X4BuZDYNmNzKdiRgGOuOlDczxqQWs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\ni8VisSwzrPG2WCwWi2WZ8f8B4+evbLK0iH8AAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x118161b70>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.figure(figsize=[8,6])\n", | |
"plt.plot(predict_save)\n", | |
"plt.title('seeding with random numbers')" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Comments\n", | |
"\n", | |
"- With a proper seeding sequennce, we end up with a perfect sine wave, even without noise.\n", | |
"- With a random seeding sequence, the genereate signal approaches the sine wave form gradually." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": null, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "Python 3", | |
"language": "python", | |
"name": "python3" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.6.1" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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