{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Stochastic Gradient Descent for Linear Regression\n", "\n", "As described in [these lecture notes](http://cs229.stanford.edu/notes/cs229-notes1.pdf).\n", "\n", "1. First, we generate a dataset from the linear function `f(x) = -x + 4`. We apply some noise.\n", "2. We plot the quadratic loss for the function `f(x) = ax + b` for `a` and `b` in the [-10, 10) range.\n", "3. We run stochastic gradient descent, using the formulal described in the paper linked above.\n", "\n", "Enjoy!" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAh0AAAFyCAYAAABRKmj1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nhIIOERERSYSCDhEREUmEgg4RERFJxP8HUl6G7Nk4EPgAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import random\n", "import math\n", "import matplotlib.pyplot as plt\n", "\n", "random.seed(100)\n", "\n", "N = 100\n", "xs = []\n", "ys = []\n", "\n", "a = -1\n", "b = 4\n", "\n", "for i in range(0, N):\n", " x = i\n", " y = a * x + b\n", " \n", " scale = 40\n", " x += scale * (0.5 - random.random())\n", " y += scale * (0.5 - random.random())\n", " \n", " xs.append(x)\n", " ys.append(y)\n", " \n", "plt.scatter(xs, ys)\n", "plt.title('Dataset')\n", "plt.show();\n", " " ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeQAAAFKCAYAAADMuCxnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTgJnMdZkzwPfOMBcgaDF8f8BLLU5CAyz/ogAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mpl_toolkits.mplot3d import Axes3D\n", "import matplotlib.pyplot as plt\n", "import matplotlib.colors as colors\n", "import numpy as np\n", "\n", "def calc_error(a, b):\n", " error = 0\n", " for i in range(0, N):\n", " predicted = a * xs[i] + b\n", " error += (predicted - ys[i]) ** 2\n", " return error\n", "\n", "px = []\n", "py = []\n", "pz = []\n", "\n", "for a in range(-10, 10):\n", " for b in range(-10, 10):\n", " px.append(a)\n", " py.append(b)\n", " pz.append(calc_error(a, b))\n", "\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111, projection='3d')\n", "\n", "n = colors.Normalize(vmin=-1., vmax=1.)\n", "color = (229, 223, 52)\n", "ax.plot_trisurf(px, py, pz, linewidth=0.2, color='yellow', shade=False)\n", "\n", "ax.set_xlabel('A')\n", "ax.set_ylabel('B')\n", "ax.set_zlabel('Error')\n", "plt.title('Quadratic Loss')\n", "\n", "plt.show();" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAh0AAAFyCAYAAABRKmj1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ncNJhZmZmpXDSYWZmZqVw0mFmZmal+B82ZKuSn9iqOgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ta = 10\n", "tb = 10\n", "\n", "alpha = 0.00001\n", "\n", "for j in range(0, 2): \n", " for i in range(0, N):\n", " hy = ta * xs[i] + tb\n", " ta = ta + alpha * (ys[i] - hy) * xs[i]\n", " tb = tb + alpha * (ys[i] - hy) * 1.0\n", " \n", "x0 = xs[0] - 20\n", "x1 = xs[-1] + 20\n", "y0 = ta * x0 + tb\n", "y1 = ta * x1 + tb\n", "\n", "plt.plot([x0, x1], [y0, y1])\n", " \n", "plt.scatter(xs, ys)\n", "plt.title('Dataset and fitted line')\n", "plt.show();\n", " " ] } ], "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": "2.7.11" } }, "nbformat": 4, "nbformat_minor": 1 }