{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Notebook 2: Gradient Descent" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Learning Goal\n", "\n", "The goal of this notebook is to gain intuition for various gradient descent methods by visualizing and applying these methods to some simple two-dimensional surfaces. Methods studied include ordinary gradient descent, gradient descent with momentum, NAG, ADAM, and RMSProp.\n", "\n", "\n", "## Overview\n", "\n", "In this notebook, we will visualize what different gradient descent methods are doing using some simple surfaces. From the onset, we emphasize that doing gradient descent on the surfaces is different from performing gradient descent on a loss function in Machine Learning (ML). The reason is that in ML not only do we want to find good minima, we want to find good minima that generalize well to new data. Despite this crucial difference, we can still build intuition about gradient descent methods by applying them to simple surfaces (see related blog posts [here](http://ruder.io/optimizing-gradient-descent/) and [here](http://tiao.io/notes/visualizing-and-animating-optimization-algorithms-with-matplotlib/)).\n", "\n", "## Surfaces\n", "\n", "We will consider three simple surfaces: a quadratic minimum of the form $$z=ax^2+by^2,$$ a saddle-point of the form $$z=ax^2-by^2,$$ and [Beale's Function](https://en.wikipedia.org/wiki/Test_functions_for_optimization), a convex function often used to test optimization problems of the form:\n", "$$z(x,y) = (1.5-x+xy)^2+(2.25-x+xy^2)^2+(2.625-x+xy^3)^2$$\n", "\n", "These surfaces can be plotted using the cells below. \n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "scrolled": true }, "outputs": [], "source": [ "#This cell sets up basic plotting functions awe\n", "#we will use to visualize the gradient descent routines.\n", "\n", "#Make plots interactive\n", "#%matplotlib notebook\n", "\n", "#Make plots static\n", "%matplotlib inline\n", "\n", "#Make 3D plots\n", "from mpl_toolkits.mplot3d import Axes3D\n", "import matplotlib.pyplot as plt\n", "from matplotlib import cm\n", "#from matplotlib import animation\n", "from IPython.display import HTML\n", "from matplotlib.colors import LogNorm\n", "#from itertools import zip_longest\n", "\n", "#Import Numpy\n", "import numpy as np\n", "\n", "#Define function for plotting \n", "\n", "def plot_surface(x, y, z, azim=-60, elev=40, dist=10, cmap=\"RdYlBu_r\"):\n", "\n", " fig = plt.figure()\n", " ax = fig.add_subplot(111, projection='3d')\n", " plot_args = {'rstride': 1, 'cstride': 1, 'cmap':cmap,\n", " 'linewidth': 20, 'antialiased': True,\n", " 'vmin': -2, 'vmax': 2}\n", " ax.plot_surface(x, y, z, **plot_args)\n", " ax.view_init(azim=azim, elev=elev)\n", " ax.dist=dist\n", " ax.set_xlim(-1, 1)\n", " ax.set_ylim(-1, 1)\n", " ax.set_zlim(-2, 2)\n", " \n", " plt.xticks([-1, -0.5, 0, 0.5, 1], [\"-1\", \"-1/2\", \"0\", \"1/2\", \"1\"])\n", " plt.yticks([-1, -0.5, 0, 0.5, 1], [\"-1\", \"-1/2\", \"0\", \"1/2\", \"1\"])\n", " ax.set_zticks([-2, -1, 0, 1, 2])\n", " ax.set_zticklabels([\"-2\", \"-1\", \"0\", \"1\", \"2\"])\n", " \n", " ax.set_xlabel(\"x\", fontsize=18)\n", " ax.set_ylabel(\"y\", fontsize=18)\n", " ax.set_zlabel(\"z\", fontsize=18)\n", " return fig, ax;\n", "\n", "def overlay_trajectory_quiver(ax,obj_func,trajectory, color='k'):\n", " xs=trajectory[:,0]\n", " ys=trajectory[:,1]\n", " zs=obj_func(xs,ys)\n", " ax.quiver(xs[:-1], ys[:-1], zs[:-1], xs[1:]-xs[:-1], ys[1:]-ys[:-1],zs[1:]-zs[:-1],color=color,arrow_length_ratio=0.3)\n", " \n", " return ax;\n", "\n", "def overlay_trajectory(ax,obj_func,trajectory,label,color='k'):\n", " xs=trajectory[:,0]\n", " ys=trajectory[:,1]\n", " zs=obj_func(xs,ys)\n", " ax.plot(xs,ys,zs, color, label=label)\n", " \n", " return ax;\n", "\n", " \n", "def overlay_trajectory_contour_M(ax,trajectory, label,color='k',lw=2):\n", " xs=trajectory[:,0]\n", " ys=trajectory[:,1]\n", " ax.plot(xs,ys, color, label=label,lw=lw)\n", " ax.plot(xs[-1],ys[-1],color+'>', markersize=14)\n", " return ax;\n", "\n", "def overlay_trajectory_contour(ax,trajectory, label,color='k',lw=2):\n", " xs=trajectory[:,0]\n", " ys=trajectory[:,1]\n", " ax.plot(xs,ys, color, label=label,lw=lw)\n", " return ax;" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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