{
"cells": [
{
"cell_type": "markdown",
"source": [
"# Sampling from a GP\n",
"\n",
"## Preliminary steps"
],
"metadata": {}
},
{
"cell_type": "markdown",
"source": [
"### Loading necessary packages"
],
"metadata": {}
},
{
"outputs": [],
"cell_type": "code",
"source": [
"using Plots\n",
"using AugmentedGaussianProcesses\n",
"using Distributions\n",
"using LinearAlgebra"
],
"metadata": {},
"execution_count": 1
},
{
"cell_type": "markdown",
"source": [
"### Generating some random data"
],
"metadata": {}
},
{
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "50-element Vector{Int64}:\n 1\n 1\n -1\n -1\n -1\n -1\n 1\n 1\n -1\n -1\n ⋮\n 1\n 1\n 1\n 1\n 1\n -1\n -1\n -1\n 1"
},
"metadata": {},
"execution_count": 2
}
],
"cell_type": "code",
"source": [
"kernel = SqExponentialKernel()\n",
"x = range(0, 10; length=50)\n",
"K = kernelmatrix(kernel, x)\n",
"f = rand(MvNormal(K + 1e-8I)) # Sample a random GP\n",
"y = rand.(Bernoulli.(AGP.logistic.(f)))\n",
"y_sign = Int.(sign.(y .- 0.5))"
],
"metadata": {},
"execution_count": 2
},
{
"cell_type": "markdown",
"source": [
"### We create a function to visualize the data"
],
"metadata": {}
},
{
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "Plot{Plots.GRBackend() n=1}",
"image/png": 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",
"text/html": [
"\n",
"\n"
],
"image/svg+xml": [
"\n",
"\n"
]
},
"metadata": {},
"execution_count": 3
}
],
"cell_type": "code",
"source": [
"function plot_data(x, y; size=(300, 500))\n",
" return Plots.scatter(x, y; alpha=0.2, markerstrokewidth=0.0, lab=\"\", size=size)\n",
"end\n",
"plot_data(x, y; size=(500, 500))"
],
"metadata": {},
"execution_count": 3
},
{
"cell_type": "markdown",
"source": [
"### Run the variational gaussian process approximation"
],
"metadata": {}
},
{
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[ Info: Running full model\n",
" 0.941765 seconds (1.82 M allocations: 103.779 MiB, 99.55% compilation time)\n"
]
},
{
"output_type": "execute_result",
"data": {
"text/plain": "(Variational Gaussian Process with a BernoulliLikelihood{GPLikelihoods.LogisticLink}(GPLikelihoods.LogisticLink()) infered by Analytic Variational Inference , (local_vars = (c = [0.725777979929387, 0.6859287154443331, 0.6707633943871769, 0.6796759307037161, 0.7035038151238994, 0.7306211994807161, 0.7522920518493406, 0.7645120881197117, 0.7667458942826801, 0.7601443945448166 … 1.0123297049557123, 1.0739899941257116, 1.0730135910623995, 1.013188379370298, 0.9119609884079565, 0.7981913608418701, 0.7070051227353312, 0.6670322382922225, 0.6818277030061936, 0.7306427324662016], θ = [0.23957477526178744, 0.2406381805980076, 0.2410299611603108, 0.2408005893163248, 0.2401751790661542, 0.23944223881182342, 0.2388406472125928, 0.2384953190077112, 0.23843172382470698, 0.23861924640668863 … 0.2306322016697824, 0.22845181324862482, 0.2284869427529465, 0.23060238471473637, 0.234002634628867, 0.23752131644477878, 0.2400818021832229, 0.24112524147649478, 0.2407448375887129, 0.23944164798254994]), opt_state = (NamedTuple(),), hyperopt_state = (NamedTuple(),), kernel_matrices = ((K = LinearAlgebra.Cholesky{Float64, Matrix{Float64}}([1.0000499987500624 0.9793417135471325 … 1.4538695041232462e-21 1.9286534177037293e-22; 0.9793906794086937 0.20245939866196944 … 4.489420225833076e-20 6.248468235352852e-21; … ; 1.453942195781206e-21 1.0513088244072457e-20 … 0.034540938136573676 0.07728907039399337; 1.9287498479639178e-22 1.453942195781206e-21 … 0.9793906794087034 0.03454092804975722], 'U', 0),),)))"
},
"metadata": {},
"execution_count": 4
}
],
"cell_type": "code",
"source": [
"@info \"Running full model\"\n",
"mfull = VGP(x, y_sign, kernel, LogisticLikelihood(), AnalyticVI(); optimiser=false)\n",
"@time train!(mfull, 5)"
],
"metadata": {},
"execution_count": 4
},
{
"cell_type": "markdown",
"source": [
"### We can also create a sampling based model"
],
"metadata": {}
},
{
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
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" 6.359023 seconds (9.95 M allocations: 833.747 MiB, 3.92% gc time, 84.35% compilation time)\n"
]
},
{
"output_type": "execute_result",
"data": {
"text/plain": "1000-element Vector{Vector{Vector{Float64}}}:\n [[-0.8479384169567894, -1.1007536063760626, -1.1932573338161718, -1.1908135990663682, -1.2121895450484776, -1.2313024595079651, -1.3011798164685167, -1.4239819129353428, -1.5930616310875343, -1.711375516137872 … 1.0499554929945043, 0.8718761720489785, 0.6301982291224848, 0.37531747899231727, 0.10401345062698336, -0.1681764346415664, -0.43172494597439937, -0.6477896733524016, -0.8025848170976936, -0.8339940479374319]]\n [[0.5111390792946517, 0.38490171788765604, 0.27120092543687624, 0.1511210490611437, 0.08036614269909892, 0.0572641487685997, 0.08675474668797722, 0.10312826051059831, 0.11385581390574906, 0.09548052675529684 … 1.3633496695478293, 1.3960054392888162, 1.2931243530907925, 1.0294634417777975, 0.644546615388681, 0.2685347907445857, -0.09481467821601486, -0.31895614248119825, -0.38340013235860004, -0.313518606817675]]\n [[0.4476972654061796, 0.49324926357010773, 0.5334627601731251, 0.578802104188223, 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-0.5795678636042155, -0.5686467020043499, -0.5490960507465115, -0.4918745206776301, -0.38149792652652836, -0.26141212459618973 … 0.49045882561415666, 0.7595604204813176, 0.8830636257317812, 0.8327490284382676, 0.6557165457115686, 0.35843316646613266, -0.0034128116361265004, -0.28921649899195967, -0.5070689559333053, -0.5706957606527516]]\n ⋮\n [[0.14362443915400974, 0.16177777674153476, 0.16183924228970348, 0.14971191804636408, 0.09135187905779102, 0.02284759134584141, -0.09288653790636092, -0.24633779866742114, -0.43875642916449703, -0.6680650770541317 … -0.7240185572573663, -0.7290508607717272, -0.692643995367979, -0.527075073079331, -0.3283570850391119, -0.11792796914236325, 0.1519784453137899, 0.36722066592519276, 0.5935464008385302, 0.7483244686006836]]\n [[1.1810491397210685, 1.0175200309377197, 0.9049423446349, 0.8212946068097677, 0.761375516989667, 0.6368700093616443, 0.45804112770335487, 0.18273488582641745, -0.14673603368170818, -0.459224443772309 … 1.98252513722246, 2.1152681408983858, 2.1417575042927846, 2.085341546775714, 1.8781445954626856, 1.5629966560195712, 1.1522082618472214, 0.6829329453386422, 0.2172034205098954, -0.2225621933566135]]\n [[1.205377724808619, 0.9120995609755789, 0.6665157523118049, 0.4900741202757696, 0.36288879364399895, 0.22836150534971733, 0.12316417354764309, -0.019531715173084996, -0.23052959945975143, -0.505906827004531 … 0.41083619855541453, 0.2087927550433205, -0.045749990145533714, -0.281781943500117, -0.47131138552168594, -0.5533186321871275, -0.5398554814445238, -0.4573520498084177, -0.317396087999512, -0.15239742679731966]]\n [[-0.12636589054966124, 0.02322483921463705, 0.10006903541869588, 0.004439278842828798, -0.1996930209040562, -0.4933118973657813, -0.8490057975329222, -1.2278258404840328, -1.5490224698461945, -1.786361714686116 … 1.6939704458473175, 1.6926935163624317, 1.5866916765434456, 1.3461806282750592, 1.0098418151506434, 0.551380386491214, 0.03025155603000826, -0.4687028300651036, -0.8864616422253403, -1.2056231081222875]]\n [[-0.2699945955631122, -0.2578981711210507, -0.2130024645532711, -0.17067057136301234, -0.13528628436422546, -0.14100992491956782, -0.18336050803463783, -0.29793647118162403, -0.5030384808213455, -0.6392602454533955 … 1.6394170443823142, 1.9551979498972276, 2.180558954184024, 2.3144183884343743, 2.3168458299746626, 2.165417233268417, 1.8901703934497778, 1.511118323487146, 1.0716390450626267, 0.6984919970226863]]\n [[-1.2263130122678767, -1.2707570954949388, -1.2841984468607397, -1.2725951287945698, -1.182174998461976, -1.081058746222065, -0.9653278472153779, -0.8082619387243488, -0.6503027111526638, -0.5104033238232147 … 1.624351499407474, 1.6457344471048208, 1.4568188167476868, 1.1429973148021388, 0.7875263608512139, 0.46325263153359747, 0.25230610237363216, 0.21064178426223973, 0.3776212778751335, 0.6672565579292875]]\n [[-0.5368984431277185, -0.5869175271443864, -0.7079100942750558, -0.870952607455331, -1.0177423294948178, -1.1633591745960852, -1.2702785590910572, -1.2994853506429618, -1.2644571321203655, -1.1558236810507734 … 1.7261007607694496, 1.7741247985870525, 1.7786108448043116, 1.7547132445013056, 1.7365962791058147, 1.659949651572978, 1.5593858810194359, 1.4586288853793121, 1.3748497485560673, 1.293170182341908]]\n [[0.3056469183852686, 0.05231463932090627, -0.17953278419905222, -0.29411418745487505, -0.3577299233391827, -0.29957846165372704, -0.19379361881607265, -0.0641924543327454, 0.08603632897863245, 0.25959919945171883 … 0.04164246796662818, 0.25848696571190166, 0.48913572503990976, 0.7539311213935015, 0.8876515341509621, 0.8413884553835169, 0.6856051930884055, 0.39604643032843323, 0.0270690805237484, -0.24937722434982343]]\n [[0.6537328670210414, 0.3816752984657561, 0.17371228913064612, -0.03968685084781853, -0.1834452147615135, -0.3261873922779772, -0.44085379862513363, -0.5385850161105725, -0.6574581633344354, -0.7913828304970355 … 0.7616471103775885, 0.812883744798384, 0.75059822431167, 0.581287386223079, 0.37486146464262604, 0.18459431700289353, 0.01060419654188871, -0.1556602496063267, -0.2699371311381066, -0.34990784993327906]]"
},
"metadata": {},
"execution_count": 5
}
],
"cell_type": "code",
"source": [
"@info \"Sampling from model\"\n",
"mmcmc = MCGP(x, y, kernel, LogisticLikelihood(), GibbsSampling(); optimiser=false)\n",
"m = mmcmc\n",
"@time samples = sample(mmcmc, 1000)"
],
"metadata": {},
"execution_count": 5
},
{
"cell_type": "markdown",
"source": [
"### We can now visualize the results of both models"
],
"metadata": {}
},
{
"cell_type": "markdown",
"source": [
"### We first plot the latent function f (truth, the VI estimate, the samples)"
],
"metadata": {}
},
{
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "Plot{Plots.GRBackend() n=1002}",
"image/png": 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",
"text/html": [
"\n",
"\n"
],
"image/svg+xml": [
"\n",
"\n"
]
},
"metadata": {},
"execution_count": 6
}
],
"cell_type": "code",
"source": [
"p1 = plot(x, f; label=\"true f\")\n",
"plot!(x, samples; label=\"\", color=:black, alpha=0.02, lab=\"\")\n",
"plot!(x, mean(mfull[1]); ribbon=sqrt.(var(mfull[1])), label=\"VI\")"
],
"metadata": {},
"execution_count": 6
},
{
"cell_type": "markdown",
"source": [
"### And we can also plot the predictions vs the data"
],
"metadata": {}
},
{
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "Plot{Plots.GRBackend() n=3}",
"image/png": 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",
"text/html": [
"\n",
"\n"
],
"image/svg+xml": [
"\n",
"\n"
]
},
"metadata": {},
"execution_count": 7
}
],
"cell_type": "code",
"source": [
"p2 = plot_data(x, y; size=(600, 400))\n",
"μ_vi, σ_vi = proba_y(mfull, x)\n",
"plot!(x, μ_vi; ribbon=σ_vi, label=\"VI\")\n",
"μ_mcmc, σ_mcmc = proba_y(mmcmc, x)\n",
"plot!(x, μ_mcmc; ribbon=σ_mcmc, label=\"MCMC\")"
],
"metadata": {},
"execution_count": 7
},
{
"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": "1.6.3"
},
"kernelspec": {
"name": "julia-1.6",
"display_name": "Julia 1.6.3",
"language": "julia"
}
},
"nbformat": 4
}