{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 301 Regression\n", "\n", "View more, visit my tutorial page: https://morvanzhou.github.io/tutorials/\n", "My Youtube Channel: https://www.youtube.com/user/MorvanZhou\n", "\n", "Dependencies:\n", "* torch: 0.1.11\n", "* matplotlib" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import torch\n", "from torch.autograd import Variable\n", "import torch.nn.functional as F\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "torch.manual_seed(1) # reproducible" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = torch.unsqueeze(torch.linspace(-1, 1, 100), dim=1) # x data (tensor), shape=(100, 1)\n", "y = x.pow(2) + 0.2*torch.rand(x.size()) # noisy y data (tensor), shape=(100, 1)\n", "\n", "# torch can only train on Variable, so convert them to Variable\n", "x, y = Variable(x), Variable(y)\n", "\n", "plt.scatter(x.data.numpy(), y.data.numpy())\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "class Net(torch.nn.Module):\n", " def __init__(self, n_feature, n_hidden, n_output):\n", " super(Net, self).__init__()\n", " self.hidden = torch.nn.Linear(n_feature, n_hidden) # hidden layer\n", " self.predict = torch.nn.Linear(n_hidden, n_output) # output layer\n", "\n", " def forward(self, x):\n", " x = F.relu(self.hidden(x)) # activation function for hidden layer\n", " x = self.predict(x) # linear output\n", " return x" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Net (\n", " (hidden): Linear (1 -> 10)\n", " (predict): Linear (10 -> 1)\n", ")\n" ] } ], "source": [ "net = Net(n_feature=1, n_hidden=10, n_output=1) # define the network\n", "print(net) # net architecture" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "optimizer = torch.optim.SGD(net.parameters(), lr=0.5)\n", "loss_func = torch.nn.MSELoss() # this is for regression mean squared loss" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "plt.ion() # something about plotting" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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LbeR1DQFcg5AGKKXCy/t/Ki09gzMP7OG5T/5Dq23fuT/g73+3qzSXLx+9SuZRvG6epsEm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\nVkGJ12Cja6Mp/y6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XkxPYlpYGr74K11wT826pKFq3Djp2tMOmTh59FO65h+wlGx0rj+u1mthL1GCj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\nvUUdhvduxTvdbqTr1U/xU53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IbALOAeaIiKNGtjFmgjGmtTGmde3atYvvdRkm0FDFkQDlBHzb101L5VByCv2v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\nAG2SsNVBGwMVgO+B5h7bNKC35++Xgdv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5ig8llWFg13tZVreZ6pspQQnF2WQA9X1e1/OUeakMnAwsFJGNwL+BWSLi2OFq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\n4Z7y1SLSoag2FNGuISLys+fafC4ix/r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UUplKqcz9Ns06wj9vY24+/HaX7fbxCzeYb268kfT2Q23POXTuG/ZZRUIA/PWX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\nXGf566/DkCHW7YmJ8PnnATc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KBpJTUhk2dzMvJG62LU/845hZ1qhZ09JXw4PbGDdvIq8tdr9vEAQbvv3WxN2z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\nRYJL3TBH+TalVJvcypBLuZ5WSm1xjM2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3oywfpdRFQE2t9YIgyibY4PS5ycjMQgMZmVmkz9rAU3M22JbPueQGeOwxSz+l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\nya53jmyDCTGHnNkI0cdff0F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RNsEG5xRGWnoGGnIE45nUDZbyJxansXDsu7ZpB+7++Wvu/PkrMjKzGTt/S9jf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\n2niqdegQcHd2YWlcHQEK9Ka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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for t in range(100):\n", " prediction = net(x) # input x and predict based on x\n", "\n", " loss = loss_func(prediction, y) # must be (1. nn output, 2. target)\n", "\n", " optimizer.zero_grad() # clear gradients for next train\n", " loss.backward() # backpropagation, compute gradients\n", " optimizer.step() # apply gradients\n", "\n", " if t % 10 == 0:\n", " # plot and show learning process\n", " plt.cla()\n", " plt.scatter(x.data.numpy(), y.data.numpy())\n", " plt.plot(x.data.numpy(), prediction.data.numpy(), 'r-', lw=5)\n", " plt.text(0.5, 0, 'Loss=%.4f' % loss.data[0], fontdict={'size': 20, 'color': 'red'})\n", " plt.show()\n", " plt.pause(0.2)\n", "\n", "plt.ioff()\n" ] }, { "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 }