{ "cells": [ { "cell_type": "markdown", "source": [ "# Gaussian Process Regression (for large data)\n", "\n", "### Loading necessary packages" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "using AugmentedGaussianProcesses\n", "const AGP = AugmentedGaussianProcesses\n", "using Distributions\n", "using Plots" ], "metadata": {}, "execution_count": 1 }, { "cell_type": "markdown", "source": [ "We create a toy dataset with X ∈ [-20, 20] and y = 5 * sinc(X)" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "N = 1000\n", "X = reshape((sort(rand(N)) .- 0.5) * 40.0, N, 1)\n", "σ = 0.01\n", "\n", "function latent(x)\n", " return 5.0 * sinc.(x)\n", "end\n", "Y = vec(latent(X) + σ * randn(N));" ], "metadata": {}, "execution_count": 2 }, { "cell_type": "markdown", "source": [ "Visualization of the data :" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.GRBackend() n=1}", "image/png": 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"\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ] }, "metadata": {}, "execution_count": 3 } ], "cell_type": "code", "source": [ "scatter(X, Y; lab=\"\")" ], "metadata": {}, "execution_count": 3 }, { "cell_type": "markdown", "source": [ "## Gaussian noise" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "In this first example we are going to look at the effect of using\n", "inducing points compared to the true Gaussian Process\n", "For simplicity we will keep all inducing points and kernel parameters fixed" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "Ms = [4, 8, 16, 32, 64];" ], "metadata": {}, "execution_count": 4 }, { "cell_type": "markdown", "source": [ "Create an empty array of GPs" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "models = Vector{AbstractGP}(undef, length(Ms) + 1);" ], "metadata": {}, "execution_count": 5 }, { "cell_type": "markdown", "source": [ "Chose a kernel" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "kernel = SqExponentialKernel();# + PeriodicKernel()" ], "metadata": {}, "execution_count": 6 }, { "cell_type": "markdown", "source": [ "And Run sparse classification with an increasing number of inducing points" ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ Info: Training with 4 points\n", " 1.311514 seconds (2.40 M allocations: 150.471 MiB, 99.01% compilation time)\n", "[ Info: Training with 8 points\n", " 0.010783 seconds (9.38 k allocations: 25.678 MiB)\n", "[ Info: Training with 16 points\n", " 0.018632 seconds (9.38 k allocations: 46.377 MiB)\n", "[ Info: Training with 32 points\n", " 0.076635 seconds (9.38 k allocations: 90.406 MiB)\n", "[ Info: Training with 64 points\n", " 0.172235 seconds (10.29 k allocations: 189.085 MiB)\n" ] } ], "cell_type": "code", "source": [ "for (index, num_inducing) in enumerate(Ms)\n", " @info \"Training with $(num_inducing) points\"\n", " m = SVGP(\n", " X,\n", " Y, # First arguments are the input and output\n", " kernel, # Kernel\n", " GaussianLikelihood(σ), # Likelihood used\n", " AnalyticVI(), # Inference usede to solve the problem\n", " num_inducing; # Number of inducing points used\n", " optimiser=false, # Keep kernel parameters fixed\n", " Zoptimiser=false, # Keep inducing points locations fixed\n", " )\n", " @time train!(m, 100) # Train the model for 100 iterations\n", " models[index] = m # Save the model in the array\n", "end" ], "metadata": {}, "execution_count": 7 }, { "cell_type": "markdown", "source": [ "Train the model without any inducing points (no approximation)" ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ Info: Training with full model\n", " 1.116697 seconds (841.50 k allocations: 420.208 MiB, 34.86% compilation time)\n" ] } ], "cell_type": "code", "source": [ "@info \"Training with full model\"\n", "mfull = GP(\n", " X,\n", " Y,\n", " kernel;\n", " noise=σ,\n", " opt_noise=false, # Keep the noise value fixed\n", " optimiser=false, # Keep kernel parameters fixed\n", ")\n", "@time train!(mfull, 5);\n", "models[end] = mfull;" ], "metadata": {}, "execution_count": 8 }, { "cell_type": "markdown", "source": [ "Create a grid and compute prediction on it" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "function compute_grid(model, n_grid=50)\n", " mins = -20\n", " maxs = 20\n", " x_grid = range(mins, maxs; length=n_grid) # Create a grid\n", " y_grid, sig_y_grid = proba_y(model, reshape(x_grid, :, 1)) # Predict the mean and variance on the grid\n", " return y_grid, sig_y_grid, x_grid\n", "end;" ], "metadata": {}, "execution_count": 9 }, { "cell_type": "markdown", "source": [ "Plot the data as a scatter plot" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.GRBackend() n=136}", "image/png": 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"\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ] }, "metadata": {}, "execution_count": 10 } ], "cell_type": "code", "source": [ "function plotdata(X, Y)\n", " return Plots.scatter(X, Y; alpha=0.33, msw=0.0, lab=\"\", size=(300, 500))\n", "end\n", "\n", "function plot_model(model, X, Y, title=nothing)\n", " n_grid = 100\n", " y_grid, sig_y_grid, x_grid = compute_grid(model, n_grid)\n", " title = if isnothing(title)\n", " (model isa SVGP ? \"M = $(dim(model[1]))\" : \"full\")\n", " else\n", " title\n", " end\n", "\n", " p = plotdata(X, Y)\n", " Plots.plot!(\n", " p,\n", " x_grid,\n", " y_grid;\n", " ribbon=2 * sqrt.(sig_y_grid), # Plot 2 std deviations\n", " title=title,\n", " color=\"red\",\n", " lab=\"\",\n", " linewidth=3.0,\n", " )\n", " if model isa SVGP # Plot the inducing points as well\n", " Plots.plot!(\n", " p,\n", " vec(model.f[1].Z),\n", " zeros(dim(model.f[1]));\n", " msize=2.0,\n", " color=\"black\",\n", " t=:scatter,\n", " lab=\"\",\n", " )\n", " end\n", " return p\n", "end;\n", "\n", "Plots.plot(\n", " plot_model.(models, Ref(X), Ref(Y))...; layout=(1, length(models)), size=(1000, 200)\n", ") # Plot all models and combine the plots" ], "metadata": {}, "execution_count": 10 }, { "cell_type": "markdown", "source": [ "## Non-Gaussian Likelihoods\n", "We now look at using another noise than Gaussian noise.\n", "In AGP.jl you can use the Student-T likelihood,\n", "the Laplace likelihood and the Heteroscedastic likelihood" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "We will use the same toy dataset for our experiment" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "Create an array of model with different likelihoods:" ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ Info: Training with the Student-t likelihood\n", " 1.960267 seconds (3.03 M allocations: 697.513 MiB, 58.86% compilation time)\n", "[ Info: Training with the Laplace likelihood (β=3.0)\n", " 1.888128 seconds (2.23 M allocations: 651.174 MiB, 5.26% gc time, 46.29% compilation time)\n", "[ Info: Training with the Gaussian likelihood with heteroscedastic noise\n", " 3.649753 seconds (4.32 M allocations: 1.322 GiB, 1.80% gc time, 44.73% compilation time)\n" ] }, { "output_type": "execute_result", "data": { "text/plain": "Gaussian Process with a Gaussian likelihood (σ² = 0.01) infered by Analytic Inference " }, "metadata": {}, "execution_count": 11 } ], "cell_type": "code", "source": [ "likelihoods = [\n", " StudentTLikelihood(3.0), LaplaceLikelihood(3.0), HeteroscedasticLikelihood(1.0)\n", "]\n", "ngmodels = Vector{AbstractGP}(undef, length(likelihoods) + 1)\n", "for (i, l) in enumerate(likelihoods)\n", " @info \"Training with the $(l)\" # We need to use VGP\n", " m = VGP(\n", " X,\n", " Y, # First arguments are the input and output\n", " kernel, # Kernel\n", " l, # Likelihood used\n", " AnalyticVI(); # Inference usede to solve the problem\n", " optimiser=false, # Keep kernel parameters fixed\n", " )\n", " @time train!(m, 10) # Train the model for 100 iterations\n", " ngmodels[i] = m # Save the model in the array\n", "end\n", "\n", "ngmodels[end] = models[end] # Add the Gaussian model" ], "metadata": {}, "execution_count": 11 }, { "cell_type": "markdown", "source": [ "We can now repeat the prediction from before :" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.GRBackend() n=8}", "image/png": 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"source": [ "Plots.plot(\n", " plot_model.(\n", " ngmodels, Ref(X), Ref(Y), [\"Student-T\", \"Laplace\", \"Heteroscedastic\", \"Gaussian\"]\n", " )...;\n", " layout=(2, 2),\n", " size=(1000, 200),\n", ") # Plot all models and combine the plots" ], "metadata": {}, "execution_count": 12 }, { "cell_type": "markdown", "source": [ "---\n", "\n", "*This notebook was generated using [Literate.jl](https://github.com/fredrikekre/Literate.jl).*" ], "metadata": {} } ], "nbformat_minor": 3, "metadata": { "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.6.2" }, "kernelspec": { "name": "julia-1.6", "display_name": "Julia 1.6.2", "language": "julia" } }, "nbformat": 4 }