{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Plotting with GaussianProcesses.jl\n", "\n", "GaussianProcesses.jl provides recipes for plotting one and two-dimensional gaussian processes using the [Plots.jl](https://juliaplots.github.io/) package. Plots.jl provides a general interface for plotting with several different backends including PyPlot, Plotly and GR.\n", "\n", "Currently plotting is only supported for GPE objects i.e. Gaussian processes with Gaussian likelihood functions.\n", "\n", "Plots.jl is not a dependency of GaussianProcesses.jl as the plotting functionality is implemented through the skeleton package RecipesBase.jl. To plot a GP object one must therefore first install and load the Plots.jl package:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ " \n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "using Plots" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plotting backends such as PyPlot.jl, may also have to be installed manually.\n", "\n", "Once a GPE object is constructed, the `plot` command can be used to plot the mean function of the Gaussian process. The user can modify attributes of the plot such as the axis labels with the usual optional keyword arguments:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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" }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "using GaussianProcesses\n", "pyplot() # Optionally select a plotting backend\n", "\n", "# Generate random data for Gaussian process\n", "x = 2π * rand(10)\n", "y = sin.(x) + 0.5*rand(10)\n", "\n", "# Set-up mean and kernel\n", "se = SE(0.0, 0.0)\n", "m = MeanZero()\n", "\n", "# Construct and plot GP\n", "gp = GP(x,y,m,se)\n", "plot(gp; xlabel=\"gp.x\", ylabel=\"gp.y\", title=\"Gaussian process\", legend=false, fmt=:png)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "By default, the plot command plots the with a ribbon representing 95% confidence interval on the output observations, and with the observation points. These aspects be controlled with the following special additional keyword arguments:\n", " - β (default=0.95) : level of confidence band plotted with mean (set to 0.0 for no band)\n", " - obsv (default=true) : plot observations with mean function\n", " \n", "Note that not all plotting backends are able to plot the confidence band. Specifically, only those which support the ribbon attribute can plot the confidence band. See [here](https://juliaplots.github.io/supported/) for tables detailing which backends support which series types and attributes.\n", "\n", "Plots.jl allows the user to modify and combine plots in complicated ways. The following plots a fitted Gaussian process with sampled processes." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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" }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x = 0:0.1:2π\n", "plot(gp; obsv=false)\n", "optimize!(gp)\n", "plot(gp; obsv=false, label=\"GP posterior mean\", fmt=:png)\n", "samples = rand(gp, x, 5)\n", "plot!(x, samples)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "Two-dimensional Gaussian processes are plotted in the same way. In this case, the `plot` command has the following special keyword:\n", "\n", "- var (default = false): plot variance of Gaussian process instead of the mean\n", "\n", "By default, the `plot` command will produce a contour plot for a two-dimensional process." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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" }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Simulate data for 2D Gaussian process\n", "X = 2π*rand(2, 10)\n", "y = sin.(X[1,:]) .* cos.(X[2,:]) + 0.5*rand(10)\n", "gp2 = GP(X,y,m,se)\n", "# Plot mean and variance\n", "p1 = plot(gp2; title=\"Mean of GP\")\n", "p2 = plot(gp2; var=true, title=\"Variance of GP\", fill=true)\n", "plot(p1, p2; fmt=:png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plots.jl has recipes for different types of two-dimensional plots including heatmaps, surfaces, contours and wireframes. The user can select the type of plot using the `seriestype` keyword, or the appropriate function name:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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" }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gr() # use GR backend to allow wireframe plot\n", "p1 = contour(gp2)\n", "p2 = surface(gp2)\n", "p3 = heatmap(gp2)\n", "p4 = wireframe(gp2)\n", "plot(p1, p2, p3, p4; fmt=:png)" ] } ], "metadata": { "kernelspec": { "display_name": "Julia 0.7.0", "language": "julia", "name": "julia-0.7" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "0.7.0" } }, "nbformat": 4, "nbformat_minor": 2 }