{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "using PyPlot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Objective function is\n", "$$f(x) = \\frac{1}{2} x^2$$\n", "so the gradient is\n", "$$f(x) = x$$" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "grad_f (generic function with 1 method)" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function grad_f(x)\n", " return x\n", "end" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Suppose that our samples are of the form\n", "$$\\tilde f(x) = \\frac{1}{2} (x + z)^2$$\n", "where $z \\sim N(0,1)$ is a standard Gaussian random variable. Then\n", "$$\\nabla \\tilde f(x) = x + z$$" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "sample_grad_f (generic function with 1 method)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function sample_grad_f(x)\n", " return x + randn(length(x)) / sqrt(length(x))\n", "end" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "stochastic_gradient_descent (generic function with 1 method)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function gradient_descent(x0, alpha, num_iters)\n", " dist_to_optimum = zeros(num_iters)\n", " x = x0\n", " for t = 1:num_iters\n", " x = x - alpha * grad_f(x)\n", " dist_to_optimum[t] = norm(x)\n", " end\n", " return dist_to_optimum\n", "end\n", "\n", "function stochastic_gradient_descent(x0, alpha, num_iters)\n", " dist_to_optimum = zeros(num_iters)\n", " x = x0\n", " for t = 1:num_iters\n", " x = x - alpha * sample_grad_f(x)\n", " dist_to_optimum[t] = norm(x)\n", " end\n", " return dist_to_optimum\n", "end" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "x0 = 5;\n", "alpha = 0.1;\n", "num_iters = 1000;\n", "gd_dist = gradient_descent(x0, alpha, num_iters);\n", "sgd_dist = stochastic_gradient_descent(x0, alpha, num_iters);" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "2-element Array{Any,1}:\n", " PyObject \n", " PyObject " ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot(1:num_iters, gd_dist, 1:num_iters, sgd_dist)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "2-element Array{Any,1}:\n", " PyObject \n", " PyObject " ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "semilogy(1:num_iters, gd_dist, 1:num_iters, sgd_dist)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "x0 = 2 * randn(100);\n", "alpha = 0.1;\n", "num_iters = 5000;\n", "gd_dist = gradient_descent(x0, alpha, num_iters);\n", "sgd_dist = stochastic_gradient_descent(x0, alpha, num_iters);" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "2-element Array{Any,1}:\n", " PyObject \n", " PyObject " ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot(1:num_iters, gd_dist, 1:num_iters, sgd_dist)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "2-element Array{Any,1}:\n", " PyObject \n", " PyObject " ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "semilogy(1:num_iters, gd_dist, 1:num_iters, sgd_dist)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Julia 0.5.1", "language": "julia", "name": "julia-0.5" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "0.5.1" } }, "nbformat": 4, "nbformat_minor": 2 }