{ "cells": [ { "cell_type": "markdown", "source": [ "# Sampling a GP Prior\n", "\n", "*You are seeing the\n", "notebook output generated by\n", "[Literate.jl](https://github.com/fredrikekre/Literate.jl) from the\n", "[Julia source file](https://github.com/JuliaGaussianProcesses/KernelSpectralDensities.jl/blob/main/examples/3-priorGP/script.jl).\n", "The rendered HTML can be viewed [in the docs](https://juliagaussianprocesses.github.io/KernelSpectralDensities.jl/dev/examples/3-priorGP/).*" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "**Load required packages**" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "using KernelSpectralDensities\n", "using AbstractGPs\n", "using StatsBase\n", "using LinearAlgebra\n", "using CairoMakie\n", "using DisplayAs #hide" ], "metadata": {}, "execution_count": 1 }, { "cell_type": "markdown", "source": [ "## Intro\n", "We use the AbstractGPs package to define a stationary GP prior,\n", "in other words, a GP that has not been conditioned on data yet." ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "AbstractGPs.GP{AbstractGPs.ZeroMean{Float64}, KernelFunctions.SqExponentialKernel{Distances.Euclidean}}(AbstractGPs.ZeroMean{Float64}(), Squared Exponential Kernel (metric = Distances.Euclidean(0.0)))" }, "metadata": {}, "execution_count": 2 } ], "cell_type": "code", "source": [ "ker = SqExponentialKernel()\n", "S = SpectralDensity(ker, 1)\n", "\n", "gp = GP(ker)" ], "metadata": {}, "execution_count": 2 }, { "cell_type": "markdown", "source": [ "## Naive Sampling\n", "If we want to draw a sample from the GP prior, the\n", "standard way is to use the Cholesky decomposition of the kernel matrix.\n", "\n", "In this example, we want to sample the GP at the following points" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "0.0:0.5:2.0" }, "metadata": {}, "execution_count": 3 } ], "cell_type": "code", "source": [ "x_sample = range(0, 2; length=5)" ], "metadata": {}, "execution_count": 3 }, { "cell_type": "markdown", "source": [ "To sample, we calculate the mean and covariance of the GP at these points.\n", "While we use the AbstractGPs interface, in this case the mean is just\n", "a zero vector and the covariance is the kernel matrix over the sample points." ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Zeros(5)" ] } ], "cell_type": "code", "source": [ "m = mean(gp, x_sample)\n", "print(m) #hide" ], "metadata": {}, "execution_count": 4 }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "5×5 Matrix{Float64}:\n 1.0 0.882497 0.606531 0.324652 0.135335\n 0.882497 1.0 0.882497 0.606531 0.324652\n 0.606531 0.882497 1.0 0.882497 0.606531\n 0.324652 0.606531 0.882497 1.0 0.882497\n 0.135335 0.324652 0.606531 0.882497 1.0" }, "metadata": {}, "execution_count": 5 } ], "cell_type": "code", "source": [ "K = cov(gp, x_sample)" ], "metadata": {}, "execution_count": 5 }, { "cell_type": "markdown", "source": [ "We then compute the Cholesky decomposition of the covariance matrix\n", "samples a vector of standard normal random variables and obtain a\n", "sample from the GP prior." ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "5-element Vector{Float64}:\n 0.2967399944229642\n 0.7337569624775431\n 0.7109768196448226\n 0.06484130885013706\n -0.7831329947824509" }, "metadata": {}, "execution_count": 6 } ], "cell_type": "code", "source": [ "function naive_sample(gp, x_sample)\n", " m = mean(gp, x_sample)\n", " K = cov(gp, x_sample)\n", " Kc = cholesky(K).L\n", " ζ = randn(length(x_sample))\n", " return m .+ Kc * ζ\n", "end\n", "\n", "ys = naive_sample(gp, x_sample)" ], "metadata": {}, "execution_count": 6 }, { "cell_type": "markdown", "source": [ "To illustrate we plot a few samples" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Figure()", "image/png": 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", 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\"/>" ] }, "metadata": {}, "execution_count": 7 } ], "cell_type": "code", "source": [ "x_plot = range(0, 1; length=10)\n", "n_samples = 7\n", "ys_plot = [naive_sample(gp, x_plot) for _ in 1:n_samples]\n", "\n", "f = Figure(; size=(600, 400))\n", "ax = Axis(f[1, 1]; xlabel=\"x\", ylabel=\"y\", title=\"Naive Sampling\")\n", "series!(ax, x_plot, reduce(hcat, ys_plot)'; labels=[\"sample $i\" for i in 1:n_samples])\n", "f" ], "metadata": {}, "execution_count": 7 }, { "cell_type": "markdown", "source": [ "To evaluate the samples, we define the following function" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "function evaluate_samples(y_sample, m, K)\n", " ms = mean(y_sample)\n", " merr = norm(m .- ms)\n", " cs = cov(y_sample)\n", " cerr = norm(K .- cs)\n", " print(\"Mean error: $merr, Covariance error: $cerr\\n\")\n", " return ms, cs\n", "end\n", "nothing #hide" ], "metadata": {}, "execution_count": 8 }, { "cell_type": "markdown", "source": [ "For the small number of samples we have, the results are not very good." ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean error: 1.1065775677400485, Covariance error: 1.8998896484813408\n" ] } ], "cell_type": "code", "source": [ "y_sample = [naive_sample(gp, x_sample) for _ in 1:n_samples]\n", "ms, cs = evaluate_samples(y_sample, m, K);" ], "metadata": {}, "execution_count": 9 }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "5-element Vector{Float64}:\n -0.5794688178335032\n -0.5598136107954795\n -0.22244972411329306\n 0.2993314125361131\n 0.6604962902721757" }, "metadata": {}, "execution_count": 10 } ], "cell_type": "code", "source": [ "ms" ], "metadata": {}, "execution_count": 10 }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "5×5 Matrix{Float64}:\n 0.29065 0.194419 0.183246 0.228104 0.274217\n 0.194419 0.258356 0.336519 0.40392 0.4525\n 0.183246 0.336519 0.502234 0.612095 0.654665\n 0.228104 0.40392 0.612095 0.754133 0.80299\n 0.274217 0.4525 0.654665 0.80299 0.894191" }, "metadata": {}, "execution_count": 11 } ], "cell_type": "code", "source": [ "cs" ], "metadata": {}, "execution_count": 11 }, { "cell_type": "markdown", "source": [ "If we sample a lot more functions however, we get closer to the anaytical result" ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean error: 0.07858837143998236, Covariance error: 0.1330340493111518\n" ] } ], "cell_type": "code", "source": [ "n_manysamples = 1000\n", "y_sample = [naive_sample(gp, x_sample) for _ in 1:n_manysamples]\n", "ms, cs = evaluate_samples(y_sample, m, K);" ], "metadata": {}, "execution_count": 12 }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "5-element Vector{Float64}:\n 0.022358098499889647\n 0.04914982114781314\n 0.04621869949078728\n 0.026713190711969002\n 0.020267705779444298" }, "metadata": {}, "execution_count": 13 } ], "cell_type": "code", "source": [ "ms" ], "metadata": {}, "execution_count": 13 }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "5×5 Matrix{Float64}:\n 1.00292 0.881038 0.611458 0.333656 0.146072\n 0.881038 1.00222 0.896443 0.629024 0.348114\n 0.611458 0.896443 1.02914 0.923627 0.647388\n 0.333656 0.629024 0.923627 1.05068 0.925538\n 0.146072 0.348114 0.647388 0.925538 1.02988" }, "metadata": {}, "execution_count": 14 } ], "cell_type": "code", "source": [ "cs" ], "metadata": {}, "execution_count": 14 }, { "cell_type": "markdown", "source": [ "However, there are two issues with this approach:\n", "1. It is quite computationally expensive, since we need to calculate the Cholesky decomposition.\n", "2. Sampling at a larger number of points can cause conditionint issues, as we show below." ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "PosDefException: matrix is not positive definite; Factorization failed." ] } ], "cell_type": "code", "source": [ "x_sample_many = range(0, 2; length=20)\n", "try\n", " naive_sample(gp, x_sample_many)\n", "catch err\n", " showerror(stderr, err)\n", "end" ], "metadata": {}, "execution_count": 15 }, { "cell_type": "markdown", "source": [ "## RFF Sampling\n", "Random Fourier features are an alternative option to sample the GP prior.\n", "Instead of computing the Cholesky decomposition of the kernel matrix, we\n", "compute a number of Fourier features and can generate samples from the GP\n", "by defining a weighted sum of these features.\n", "$$\n", " f(x) = \\sum_{i=1}^l w_i \\varphi_i(x)\n", "$$\n", "The weights $w_i$ are sampled from a standard normal distribution." ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "5-element Vector{Float64}:\n -1.2243204810940291\n -1.3174899137345029\n -1.080446150718043\n -0.48725532775603\n 0.35487036359808977" }, "metadata": {}, "execution_count": 16 } ], "cell_type": "code", "source": [ "rff = DoubleRFF(S, 10)\n", "agps = ApproximateGPSample(rff)\n", "agps.(x_sample)" ], "metadata": {}, "execution_count": 16 }, { "cell_type": "markdown", "source": [ "We can plot the samples as before" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Figure()", "image/png": 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\"/>" ] }, "metadata": {}, "execution_count": 17 } ], "cell_type": "code", "source": [ "n_samples = 7\n", "ys_plot = [ApproximateGPSample(rff).(x_plot) for _ in 1:n_samples]\n", "\n", "f = Figure(; size=(600, 400))\n", "ax = Axis(f[1, 1]; xlabel=\"x\", ylabel=\"y\", title=\"RFF Sampling\")\n", "series!(ax, x_plot, reduce(hcat, ys_plot)'; labels=[\"sample $i\" for i in 1:n_samples])\n", "f" ], "metadata": {}, "execution_count": 17 }, { "cell_type": "markdown", "source": [ "Unfortunately, the mean and the covariance are worse than with the naive sampling\n", "for the same number of samples." ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean error: 0.7520635829560222, Covariance error: 1.6710134097010763\n" ] } ], "cell_type": "code", "source": [ "y_sample = [ApproximateGPSample(rff).(x_sample) for _ in 1:n_samples]\n", "ms, cs = evaluate_samples(y_sample, m, K);" ], "metadata": {}, "execution_count": 18 }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "5-element Vector{Float64}:\n 0.40943989195647756\n 0.4861274884995006\n 0.35373813318238106\n 0.08982558160317741\n -0.1686397658643429" }, "metadata": {}, "execution_count": 19 } ], "cell_type": "code", "source": [ "ms" ], "metadata": {}, "execution_count": 19 }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "5×5 Matrix{Float64}:\n 0.991009 0.864202 0.510807 0.00667494 -0.508774\n 0.864202 0.851636 0.634236 0.238636 -0.235988\n 0.510807 0.634236 0.680691 0.587806 0.333183\n 0.00667494 0.238636 0.587806 0.903616 1.00587\n -0.508774 -0.235988 0.333183 1.00587 1.48147" }, "metadata": {}, "execution_count": 20 } ], "cell_type": "code", "source": [ "cs" ], "metadata": {}, "execution_count": 20 }, { "cell_type": "markdown", "source": [ "However, we now have another parameter to tune: The number of features\n", "By increasing the number of features, we get close to the result we saw\n", "with the naive sampling." ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean error: 0.533675046074729, Covariance error: 2.8862020131809945\n" ] } ], "cell_type": "code", "source": [ "rff500 = DoubleRFF(S, 500)\n", "y_sample = [ApproximateGPSample(rff500).(x_sample) for _ in 1:n_samples]\n", "ms, cs = evaluate_samples(y_sample, m, K);" ], "metadata": {}, "execution_count": 21 }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "5-element Vector{Float64}:\n -0.17224602277482987\n 0.17491249763238154\n 0.3839255904633158\n 0.2776536707091589\n -0.0074539078504772815" }, "metadata": {}, "execution_count": 22 } ], "cell_type": "code", "source": [ "ms" ], "metadata": {}, "execution_count": 22 }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "5×5 Matrix{Float64}:\n 0.575488 0.307255 0.0307442 -0.256368 -0.453382\n 0.307255 0.229221 0.139796 -0.0237629 -0.208294\n 0.0307442 0.139796 0.293921 0.300699 0.103838\n -0.256368 -0.0237629 0.300699 0.508633 0.449759\n -0.453382 -0.208294 0.103838 0.449759 0.683877" }, "metadata": {}, "execution_count": 23 } ], "cell_type": "code", "source": [ "cs" ], "metadata": {}, "execution_count": 23 }, { "cell_type": "markdown", "source": [ "By increasing the number of GP samples, we can again improve the results in\n", "both cases.\n", "\n", "With 10 feature functions" ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean error: 0.06303326755909625, Covariance error: 1.0399856398810348\n" ] } ], "cell_type": "code", "source": [ "y_sample = [ApproximateGPSample(rff).(x_sample) for _ in 1:n_manysamples]\n", "ms, cs = evaluate_samples(y_sample, m, K);" ], "metadata": {}, "execution_count": 24 }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "5-element Vector{Float64}:\n -0.029597401866102636\n -0.037810603059206506\n -0.03323403665200071\n -0.021501549108153325\n -0.010036289753455113" }, "metadata": {}, "execution_count": 25 } ], "cell_type": "code", "source": [ "ms" ], "metadata": {}, "execution_count": 25 }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "5×5 Matrix{Float64}:\n 1.00251 0.840384 0.450536 -0.0165565 -0.395196\n 0.840384 0.985548 0.84812 0.486211 0.0435613\n 0.450536 0.84812 1.02178 0.907763 0.557634\n -0.0165565 0.486211 0.907763 1.09119 0.968483\n -0.395196 0.0435613 0.557634 0.968483 1.11995" }, "metadata": {}, "execution_count": 26 } ], "cell_type": "code", "source": [ "cs" ], "metadata": {}, "execution_count": 26 }, { "cell_type": "markdown", "source": [ "With 500 feature functions" ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean error: 0.04343592507558789, Covariance error: 0.32372502991520313\n" ] } ], "cell_type": "code", "source": [ "y_sample = [ApproximateGPSample(rff500).(x_sample) for _ in 1:n_manysamples]\n", "ms, cs = evaluate_samples(y_sample, m, K);" ], "metadata": {}, "execution_count": 27 }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "5-element Vector{Float64}:\n 0.0026828250789144637\n 0.009424976041045864\n 0.021960957850163883\n 0.02886367091345905\n 0.02180038291169693" }, "metadata": {}, "execution_count": 28 } ], "cell_type": "code", "source": [ "ms" ], "metadata": {}, "execution_count": 28 }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "5×5 Matrix{Float64}:\n 0.957532 0.831856 0.535936 0.228028 0.0235274\n 0.831856 0.966955 0.843164 0.537583 0.2266\n 0.535936 0.843164 0.97405 0.846715 0.546746\n 0.228028 0.537583 0.846715 0.985053 0.863933\n 0.0235274 0.2266 0.546746 0.863933 0.997486" }, "metadata": {}, "execution_count": 29 } ], "cell_type": "code", "source": [ "cs" ], "metadata": {}, "execution_count": 29 }, { "cell_type": "markdown", "source": [ "Lastly, we note that we no longer have to worry about conditioning issues,\n", "and can evaluate a given GP sample at however many points we like" ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "20-element Vector{Float64}:\n -0.1155931716060361\n -0.10743581332458482\n -0.08537628750223142\n -0.05067633518932606\n -0.005032122730757788\n 0.049487755269516404\n 0.11051550846985603\n 0.1754663530668675\n 0.24162715646030014\n 0.30624880949651206\n 0.36663950362744163\n 0.4202560651701378\n 0.4647905571260943\n 0.49824949904088267\n 0.5190232731174582\n 0.5259435739645243\n 0.5183271116262983\n 0.4960041827409255\n 0.4593311711182201\n 0.4091865138227427" }, "metadata": {}, "execution_count": 30 } ], "cell_type": "code", "source": [ "ApproximateGPSample(rff).(x_sample_many)" ], "metadata": {}, "execution_count": 30 }, { "cell_type": "markdown", "source": [ "<hr />\n", "<h6>Package and system information</h6>\n", "<details>\n", "<summary>Package information (click to expand)</summary>\n", "<pre>\n", "Status `~/work/KernelSpectralDensities.jl/KernelSpectralDensities.jl/examples/3-priorGP/Project.toml`\n", " [99985d1d] AbstractGPs v0.5.21\n", " [7834405d] AbstractGPsMakie v0.2.8\n", "⌃ [13f3f980] CairoMakie v0.12.18\n", " [0b91fe84] DisplayAs v0.1.6\n", " [027d52a2] KernelSpectralDensities v0.2.0 `/home/runner/work/KernelSpectralDensities.jl/KernelSpectralDensities.jl#main`\n", " [98b081ad] Literate v2.20.1\n", " [2913bbd2] StatsBase v0.34.4\n", "Info Packages marked with ⌃ have new versions available and may be upgradable.\n", "</pre>\n", "To reproduce this notebook's package environment, you can\n", "<a href=\"./Manifest.toml\">\n", "download the full Manifest.toml</a>.\n", "</details>\n", "<details>\n", "<summary>System information (click to expand)</summary>\n", "<pre>\n", "Julia Version 1.11.3\n", "Commit d63adeda50d (2025-01-21 19:42 UTC)\n", "Build Info:\n", " Official https://julialang.org/ release\n", "Platform Info:\n", " OS: Linux (x86_64-linux-gnu)\n", " CPU: 4 × AMD EPYC 7763 64-Core Processor\n", " WORD_SIZE: 64\n", " LLVM: libLLVM-16.0.6 (ORCJIT, znver3)\n", "Threads: 1 default, 0 interactive, 1 GC (on 4 virtual cores)\n", "Environment:\n", " JULIA_PKG_SERVER_REGISTRY_PREFERENCE = eager\n", " JULIA_LOAD_PATH = :/home/runner/.julia/packages/JuliaGPsDocs/7M86H/src\n", "</pre>\n", "</details>" ], "metadata": {} }, { "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": "1.11.3" }, "kernelspec": { "name": "julia-1.11", "display_name": "Julia 1.11.3", "language": "julia" } }, "nbformat": 4 }