{ "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": {}, "outputs": [ { "data": { "text/html": [ " \n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "using Plots\n", "pyplot() # Optionally select a plotting backend" ] }, { "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": {}, "outputs": [ { "data": { "image/png": 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" }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "using GaussianProcesses\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": {}, "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": {}, "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": {}, "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 }