Created
September 18, 2017 01:45
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Gaussian Mixture Model
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## The sampling function for real data" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"import torch\n", | |
"from torch import nn, optim\n", | |
"from torch.autograd import Variable\n", | |
"\n", | |
"def generate_samples(n):\n", | |
" r = 1+torch.rand(n,1)*0.1\n", | |
" theta = 2*3.1415926*torch.rand(n,1)\n", | |
" x = torch.cos(theta)*r\n", | |
" y = torch.sin(theta)*r\n", | |
" return x, y" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.collections.PathCollection at 0x10b2134e0>" | |
] | |
}, | |
"execution_count": 2, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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M4eb6jKQH5Q69O/cAH/97v4hDezvL/S94GiqACmGO0OvtbMSrZ67CynUWdpGMPoPXLJzR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\nH5sBInTWYHIIAAAAAElFTkSuQmCC\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x11346f860>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"%matplotlib inline\n", | |
"from matplotlib import pyplot as plt\n", | |
"n = 1000\n", | |
"x, y = generate_samples(n)\n", | |
"plt.figure(figsize=[6,6])\n", | |
"plt.scatter(x.tolist(), y.tolist(),1)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Create model" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"def logsumexp(x):\n", | |
" x_max, _ = x.max(dim=1,keepdim=True)\n", | |
" x_max_expand = x_max.expand(x.size())\n", | |
" res = x_max + torch.log((x-x_max_expand).exp().sum(dim=1, keepdim=True))\n", | |
" return res" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"source": [ | |
"import math\n", | |
"class GaussianMixture(nn.Module):\n", | |
" def __init__(self):\n", | |
" super(GaussianMixture, self).__init__()\n", | |
" self.main = nn.Sequential(nn.Linear(1,24),\n", | |
" nn.ELU(),\n", | |
" nn.Linear(24,72))\n", | |
" self.logsoftmax = nn.LogSoftmax()\n", | |
" self.softmax = nn.Softmax()\n", | |
" def forward(self, input):\n", | |
" output = self.main(input)\n", | |
" mu, log_sigma, pi = output[:,:24], output[:,24:48], output[:,48:]\n", | |
" return mu, log_sigma, pi\n", | |
" def logits(self, x, y):\n", | |
" mu, log_sigma, pi = self.forward(x)\n", | |
" y_expand = y.expand(mu.size())\n", | |
" log_pi = self.logsoftmax(pi)\n", | |
" log_pdf = -0.5*math.log(math.pi*2) - log_sigma - 0.5*((y_expand-mu)/2/log_sigma.exp())**2\n", | |
" logits = logsumexp(log_pi + log_pdf)\n", | |
" return logits\n", | |
" def generate(self, x):\n", | |
" mu, log_sigma, pi = self.forward(x)\n", | |
" pi = self.softmax(pi)\n", | |
" pi_picked = torch.multinomial(pi)\n", | |
" sigma = log_sigma.exp()\n", | |
" res = Variable(torch.Tensor(x.size()))\n", | |
" for i, r in enumerate(pi_picked):\n", | |
" res[i] = torch.normal(mu[i][r], sigma[i][r])\n", | |
" return res" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Two helper functions for plots" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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Po36SrrrEihoaGlRLS0uxh0FEREO1d6OWgfMf6j/NN0wLyGpn5uc2C7jH8FtvvYVTTjkl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\n53X3heBL+KPwuQXdfaG8j5m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AaFOobgFCSnuvAMClGJQ17thAlI3O3YCnJC6IUy4P6mQf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| |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x1138f44a8>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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ELFuZxq7Vq5JcWFU/kOTjSZ6XJFV1epLXtdbOmx33Q0l+u6pOSPKxJC/a68RdP9vAC/a4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\nQ7wCADAY4hUAgMH4/wGs2fLcV3k+pQAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x117570278>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"import numpy as np\n", | |
"\n", | |
"net = GaussianMixture()\n", | |
"def plot_generated_samples(n=300):\n", | |
" x,y = generate_samples(n)\n", | |
" y_gen = net.generate(Variable(x))\n", | |
"\n", | |
" fig = plt.figure(figsize=[10,10])\n", | |
" plt.scatter(x.tolist(), y.tolist(), 20)\n", | |
" plt.scatter(x.tolist(), y_gen.data.tolist(),20)\n", | |
" plt.xlim([-2,2])\n", | |
" plt.ylim([-2,2])\n", | |
" plt.xlabel('x')\n", | |
" plt.ylabel('y')\n", | |
" plt.legend(['real data','Gaussian mixture'])\n", | |
" plt.title('Gaussian mixture generation')\n", | |
" return fig\n", | |
"plot_generated_samples();\n", | |
"\n", | |
"def plot_logits_contour(n=50):\n", | |
" xs, ys = np.meshgrid(np.linspace(-2,2,n),np.linspace(-2,2,n))\n", | |
" xs = Variable(torch.Tensor(xs.ravel())).view(-1,1)\n", | |
" ys = Variable(torch.Tensor(ys.ravel())).view(-1,1)\n", | |
" logits = net.logits(xs,ys)\n", | |
" xs, ys, logits = (np.reshape(v.data.numpy(),[n,n]) for v in (xs, ys, logits))\n", | |
" fig = plt.figure(figsize=[12,10])\n", | |
" # plt.scatter(xs.data.numpy(), ys.data.numpy(),20, logits.data.numpy())\n", | |
" plt.contourf(xs, ys, logits)\n", | |
" plt.colorbar()\n", | |
" plt.xlabel('x')\n", | |
" plt.ylabel('y')\n", | |
" plt.title('logits contourf')\n", | |
" return fig\n", | |
"plot_logits_contour();\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Network Training " | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": { | |
"collapsed": false, | |
"scrolled": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"epoch 0, loss 1.0104962587356567\n", | |
"epoch 100, loss -1.1619478464126587\n", | |
"epoch 200, loss -1.374485731124878\n", | |
"epoch 300, loss -1.362694501876831\n", | |
"epoch 400, loss -1.3413493633270264\n", | |
"epoch 500, loss -1.4389238357543945\n", | |
"epoch 600, loss -1.517667293548584\n", | |
"epoch 700, loss -1.5072519779205322\n", | |
"epoch 800, loss -1.5785775184631348\n", | |
"epoch 900, loss -1.578603982925415\n" | |
] | |
} | |
], | |
"source": [ | |
"net = GaussianMixture()\n", | |
"\n", | |
"loss_save = []\n", | |
"batch_size = 200\n", | |
"max_epoch = 1000\n", | |
"optimizer = optim.Adam(net.parameters(), lr = 0.01)\n", | |
"m = nn.LogSoftmax()\n", | |
"\n", | |
"for epoch in range(max_epoch):\n", | |
" optimizer.zero_grad()\n", | |
" x, y = generate_samples(batch_size)\n", | |
" loss = - net.logits(Variable(x),Variable(y)).mean()\n", | |
" loss.backward()\n", | |
" optimizer.step()\n", | |
" if epoch%100 == 0:\n", | |
" print(\"epoch {}, loss {}\".format(epoch, loss.data[0]))\n", | |
" loss_save.append(loss.data[0])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"<matplotlib.text.Text at 0x10c6dfcc0>" | |
] | |
}, | |
"execution_count": 7, | |
"metadata": {}, | |
"output_type": "execute_result" | |
}, | |
{ | |
"data": { | |
"image/png": 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z9iI9X12xIiIi4r4U7HDsVNEzIoA0BTsRERFxYwp2Tj3DA9QVKyIiIm5Nwc6pZ3ggGQVq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\nbiaCjgAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x10b6eb4a8>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.figure(figsize=[10,6])\n", | |
"plt.plot(np.convolve(loss_save, np.ones(10)/10))\n", | |
"plt.xlim([0,max_epoch])\n", | |
"plt.xlabel('epoch')\n", | |
"plt.ylabel('loss')\n", | |
"plt.title('time averaged loss')" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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y8MMPA3DttdcycOBAhgwZwjXXXAPAM888Q2lpKUOHDuWEE05och9vv/02I0eO5Mgjj2TU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\nJsoBNGZLRPokc9wfwEuM50H3RM4yz2VtqWaKto/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fJclFPMwcno1PZ7LXSD2j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7AAAK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\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x10b1dfbe0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
}, | |
{ | |
"data": { | |
"image/png": 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SPMxZXU0lyBBWw2trD2A9paPWMyvIn3PuETN7naQPSTpO0judc7eE+FtRA6tz7lUdP3+b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\n/wOXkEkymg9kbAAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x1174af6d8>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plot_generated_samples();\n", | |
"plot_logits_contour();" | |
] | |
} | |
], | |
"metadata": { | |
"anaconda-cloud": {}, | |
"kernelspec": { | |
"display_name": "Python [conda env:tensorflow]", | |
"language": "python", | |
"name": "conda-env-tensorflow-py" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.6.2" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 1 | |
} |
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