{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Implement a simple neural network\n", "\n", "**author: ** weiya\n", "\n", "**date: ** Dec. 27, 2017\n", "\n", "refer to [Implementing a Neural Network from Scratch in Python – An Introduction](http://www.wildml.com/2015/09/implementing-a-neural-network-from-scratch/)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import sklearn.datasets\n", "import sklearn.linear_model\n", "import matplotlib.pyplot as plt\n", "import matplotlib" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhcAAAFkCAYAAACThxm6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# generate a dataset\n", "np.random.seed(123)\n", "X, y = sklearn.datasets.make_moons(200, noise=0.20)\n", "plt.scatter(X[:, 0], X[:, 1], s=40, c=y, cmap = plt.cm.Spectral)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Predictions\n", "$$\n", "\\begin{array}{ll}\n", "z_m & = \\sigma(\\alpha_{0m}+\\alpha_m^TX)\\qquad m=1,\\ldots, M\\\\\n", "T_k &= \\beta_{0k}+\\beta_k^TZ\\qquad k=1,\\ldots, K\\\\\n", "f_k(X)&=g_k(T)=\\frac{exp(T_k)}{\\sum_{\\ell=1}^Kexp(T_\\ell)}\n", "\\end{array}\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Loss function\n", "$$\n", "L = -\\frac 1N \\sum\\limits_{i=1}^NL_i\n", "$$\n", "where\n", "$$\n", "\\begin{array}{ll}\n", "L_i& = \\sum\\limits_{k=1}^Ky_{ik}logf_k(x_i) \\\\\n", "&=\\sum\\limits_{k=1}^Ky_{ik}(T_k-log(\\sum_{\\ell=1}^Kexp(T_\\ell)))\\\\\n", "&=\\sum\\limits_{k=1}^Ky_{ik}T_k-log(\\sum_{\\ell=1}^Kexp(T_\\ell))\\\\\n", "\\end{array}\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "BP formula\n", "$$\n", "\\begin{array}{lll}\n", "\\frac{\\partial L_i}{\\partial \\beta_{km}} &=& \\frac{\\partial L_i}{\\partial T_k}\\frac{\\partial T_k}{\\partial \\beta_{km}}\\\\\n", "&=&(y_{ik}-f_k(x_i))z_{mi}\\\\\n", "&=&\\delta_{ki}z_{mi}\n", "\\end{array}\n", "$$\n", "Thus, we have $\\frac{\\partial L_i}{\\partial \\beta_{k0}}=\\delta_{ki}, \\frac{\\partial L_i}{\\partial \\beta_{km}}=\\delta_{ki}z_{mi}$\n", "$$\n", "\\begin{array}{lll}\n", "\\frac{\\partial L_i}{\\partial \\alpha_{m\\ell}} &=&\\sum\\limits_{k=1}^K \\frac{\\partial L_i}{\\partial T_k}\\frac{\\partial T_k}{\\partial z_{m}}\\frac{\\partial z_m}{\\partial \\alpha_{m\\ell}}\\\\\n", "&=&\\sigma'(\\alpha_{0m}+\\alpha_m^TX)\\sum\\limits_{k=1}^K\\delta_{ki}\\beta_{km}x_{i\\ell}\\\\\n", "&=&s_{mi}x_{i\\ell}\n", "\\end{array}\n", "$$\n", "Thus, we have $\\frac{\\partial L_i}{\\partial \\alpha_{m\\ell}}=s_{mi}, \\frac{\\partial L_i}{\\partial \\alpha_{m\\ell}}=s_{mi}x_{i\\ell}$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, $\\sigma(v)=tanh(v)$, so then $tanh'v=1-tanh^2v$. Also, denote $\\boldsymbol\\beta=(\\beta_{km})_{K\\times M}, \\boldsymbol\\alpha=(\\alpha_{m\\ell})_{M\\times L}$" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "num_examples = len(X)\n", "nn_input_dim = 2\n", "nn_output_dim = 2\n", "# learning rate for gradient descent\n", "gamma = 0.01\n", "# regularization strength\n", "reg_lambda = 0.01" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Helper function to evaluate the total loss on the dataset\n", "def calculate_loss(model):\n", " alpha, a, beta, b = model['alpha'], model['a'], model['beta'], model['b']\n", " # forward pass to calculate the predictions\n", " z = np.tanh(X.dot(alpha) + a) # N*L * L*M\n", " T = np.exp(z.dot(beta) + b) # N*M * M*K\n", " probs = T / np.sum(T, axis = 1, keepdims=True) # sum by row and get N*1\n", " # calculate the loss\n", " logprobs = -np.log(probs[range(num_examples), y])\n", " data_loss = np.sum(logprobs)\n", " # add regularization term\n", " data_loss += reg_lambda/2 * (np.sum(np.square(alpha)) + np.sum(np.square(beta)))\n", " return 1./num_examples * data_loss" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Helper function to predict an output (0 or 1)\n", "def predict(model, x):\n", " alpha, a, beta, b = model['alpha'], model['a'], model['beta'], model['b']\n", " # forward pass\n", " z = np.tanh(x.dot(alpha) + a) # N*L * L*M\n", " T = np.exp(z.dot(beta) + b) # N*M * M*K\n", " probs = T / np.sum(T, axis = 1, keepdims=True) # sum by row and get N*1\n", " return np.argmax(probs, axis=1)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Helper function to plot a decision boundary\n", "def plot_decision_boundary(pred_func):\n", " x_min, x_max = X[:, 0].min() - .5, X[:, 0].max() + .5\n", " y_min, y_max = X[:, 1].min() - .5, X[:, 1].max() + .5\n", " h = 0.01\n", " xx, yy = np.meshgrid(np.arange(x_min, x_max, h), np.arange(y_min, y_max, h))\n", " Z = pred_func(np.c_[xx.ravel(), yy.ravel()])\n", " Z = Z.reshape(xx.shape)\n", " plt.contourf(xx, yy, Z, cmap=plt.cm.Spectral)\n", " plt.scatter(X[:, 0], X[:, 1], c=y, cmap = plt.cm.Spectral)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# model\n", "def build_model(nn_hdim, num_passes = 2000, print_loss = False):\n", " # initialize\n", " np.random.seed(123)\n", " alpha = np.random.randn(nn_input_dim, nn_hdim) / np.sqrt(nn_input_dim)\n", " a = np.zeros((1, nn_hdim))\n", " beta = np.random.randn(nn_hdim, nn_output_dim) / np.sqrt(nn_hdim)\n", " b = np.zeros((1, nn_output_dim))\n", " \n", " model = {}\n", " \n", " # gradient descent\n", " for i in xrange(0, num_passes):\n", " \n", " # forward pass\n", " z = np.tanh(X.dot(alpha) + a) # N*L * L*M\n", " T = np.exp(z.dot(beta) + b) # N*M * M*K\n", " probs = T / np.sum(T, axis = 1, keepdims=True)\n", " \n", " # back propagation\n", " delta = probs\n", " delta[range(num_examples), y] -= 1 # pay attention! because y_ik = 1 for the corresponding class\n", " dbeta = (z.T).dot(delta)\n", " db = np.sum(delta, axis=0, keepdims = True)\n", " s = delta.dot(beta.T) * (1-np.power(z, 2))\n", " dalpha = np.dot(X.T, s)\n", " da = np.sum(s, axis=0)\n", " \n", " #add regularization term\n", " dbeta += reg_lambda * beta\n", " dalpha += reg_lambda * alpha\n", " \n", " # gradient descent \n", " alpha += -gamma * dalpha\n", " a += -gamma * da\n", " beta += -gamma * dbeta\n", " b += -gamma *db\n", " \n", " # assign new parameters to the model\n", " model = {'alpha': alpha, 'a': a, 'beta': beta, 'b':b}\n", " \n", " if print_loss and i %100 ==0:\n", " print \"Loss after iteration %i: %f\" %(i, calculate_loss(model))\n", " return model" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loss after iteration 0: 0.604434\n", "Loss after iteration 100: 0.302863\n", "Loss after iteration 200: 0.125740\n", "Loss after iteration 300: 0.083622\n", "Loss after iteration 400: 0.078040\n", "Loss after iteration 500: 0.075535\n", "Loss after iteration 600: 0.073808\n", "Loss after iteration 700: 0.072311\n", "Loss after iteration 800: 0.070842\n", "Loss after iteration 900: 0.069394\n", "Loss after iteration 1000: 0.068051\n", "Loss after iteration 1100: 0.066872\n", "Loss after iteration 1200: 0.065865\n", "Loss after iteration 1300: 0.065013\n", "Loss after iteration 1400: 0.064316\n", "Loss after iteration 1500: 0.066696\n", "Loss after iteration 1600: 0.065865\n", "Loss after iteration 1700: 0.065327\n", "Loss after iteration 1800: 0.064931\n", "Loss after iteration 1900: 0.064617\n" ] } ], "source": [ "# build model\n", "model = build_model(3, print_loss=True)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/weiya/anaconda2/lib/python2.7/site-packages/numpy/ma/core.py:6385: MaskedArrayFutureWarning: In the future the default for ma.minimum.reduce will be axis=0, not the current None, to match np.minimum.reduce. Explicitly pass 0 or None to silence this warning.\n", " return self.reduce(a)\n", "/home/weiya/anaconda2/lib/python2.7/site-packages/numpy/ma/core.py:6385: MaskedArrayFutureWarning: In the future the default for ma.maximum.reduce will be axis=0, not the current None, to match np.maximum.reduce. Explicitly pass 0 or None to silence this warning.\n", " return self.reduce(a)\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgwAAAFyCAYAAACZRoIjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ncTpDPi3XmAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot\n", "plot_decision_boundary(lambda x: predict(model, x))\n", "plt.title(\"Decision Boundary for hidden layer size 3\")" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [conda env:anaconda2]", "language": "python", "name": "conda-env-anaconda2-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.12" } }, "nbformat": 4, "nbformat_minor": 1 }