{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Intuition for Second Order Partial Derivatives and the Hessian Matrix\n", "> But what is a Hessian, really? \n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "
\n", " Unable to load WebIO. Please make sure WebIO works for your Jupyter client.\n", " For troubleshooting, please see \n", " the WebIO/IJulia documentation.\n", " \n", "
\n" ], "text/plain": [ "HTML{String}(\"\\n\\n Unable to load WebIO. Please make sure WebIO works for your Jupyter client.\\n For troubleshooting, please see \\n the WebIO/IJulia documentation.\\n \\n
\\n\")" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#collapse\n", "# imports\n", "# using Plots; plotlyjs()\n", "using PlotlyJS\n", "\n", "# from IPython.display import HTML\n", "# HTML(fig.to_html()) # where fig = plotly.plot(...)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Hessian matrix appears in the optimization literature, but the intuition for how the Hessian and its inverse transform vectors is opaque to me. Let's review second order partial derivatives, and then try to build intuition for the Hessian matrix. \n", "\n", "For the purpose of this intuition-building exercise, we'll work with functions $\\Reals^2 \\mapsto \\Reals^1$. I'll also use partial derivative notations $\\frac{\\partial}{\\partial y} f(x, y) = \\frac{\\partial f}{\\partial y} = f_y$ interchangeably. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Partial Derivatives\n", "\n", "Take the $\\Reals^2 \\mapsto \\Reals^1$ function $f(x, y) = x^2 + 2y^2$.\n", "\n", "A partial derivative is the change in an \"output\" variable (in our case, $f$) with respect to infinitesimal changes in an \"input\" variable (in our case, $x$ or $y$). For example, $\\frac{\\partial}{\\partial y} f(x, y) = 4y$, which is to say, for any point in the domain, moving infinitsimally in the y direction changes f propotional to 4 times the y coordinate of the starting point point. " ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "f_y (generic function with 1 method)" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "f(x, y) = x^2 + 2y^2\n", "\n", "x = 6\n", "\n", "xlim=[-10, x]\n", "ylim=[-10, 10]\n", "\n", "xs = LinRange(xlim..., 101)\n", "ys = LinRange(ylim..., 101)\n", "zs = [f(x, y) for x in xs, y in ys]\n", "\n", "y = 4\n", "dy = 4\n", "f_y(y) = 4y" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "data": [ { "opacity": 0.8, "showscale": false, "type": "surface", "visible": true, "x": [ -10, -9.84, -9.680000000000001, -9.52, -9.36, -9.2, -9.04, -8.879999999999999, -8.72, -8.559999999999999, -8.4, -8.24, -8.08, -7.919999999999999, -7.76, -7.6, -7.44, -7.279999999999999, -7.120000000000001, -6.960000000000001, -6.8, -6.640000000000001, -6.48, -6.32, -6.16, -6, -5.84, -5.68, 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"hover": { "id": "13210028165078827776", "sync": false, "value": {} }, "image": { "id": "157792073107263538", "sync": true, "value": "" }, "relayout": { "id": "8664851016632277855", "sync": false, "value": {} }, "selected": { "id": "6403476091998603941", "sync": false, "value": {} } }, "systemjs_options": null }, "nodeType": "Scope", "props": {}, "type": "node" }, "image/png": 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", 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