{
"cells": [
{
"cell_type": "markdown",
"source": [
"# Gaussian Process with Heteroscedastic likelihoods\n",
"\n",
"### Loading necessary packages"
],
"metadata": {}
},
{
"outputs": [],
"cell_type": "code",
"source": [
"using AugmentedGaussianProcesses\n",
"using Distributions\n",
"using LinearAlgebra\n",
"using Plots\n",
"using Random\n",
"default(; lw=3.0, msw=0.0)"
],
"metadata": {},
"execution_count": 1
},
{
"cell_type": "markdown",
"source": [
"using CairoMakie"
],
"metadata": {}
},
{
"cell_type": "markdown",
"source": [
"## Model generated data\n",
"The heteroscedastic noise mean that the variance of the likelihood\n",
"directly depends on the input.\n",
"To model this with Gaussian process, we define a GP `f` for the mean and another GP `g` for the variance\n",
"``y \\sim f + \\epsilon``\n",
"where ``\\epsilon \\sim \\mathcal{N}(0, (\\lambda \\sigma(g))^{-1})``\n",
"We create a toy dataset with X ∈ [-10, 10] and sample `f`, `g` and `y` given this same generative model"
],
"metadata": {}
},
{
"outputs": [],
"cell_type": "code",
"source": [
"rng = MersenneTwister(42)\n",
"N = 200\n",
"x = (sort(rand(rng, N)) .- 0.5) * 20.0\n",
"x_test = range(-10, 10; length=500)\n",
"kernel = 5.0 * SqExponentialKernel() ∘ ScaleTransform(1.0) # Kernel function\n",
"K = kernelmatrix(kernel, x) + 1e-5I # The kernel matrix\n",
"f = rand(rng, MvNormal(K)); # We draw a random sample from the GP prior"
],
"metadata": {},
"execution_count": 2
},
{
"cell_type": "markdown",
"source": [
"We add a prior mean on `g` so that the variance does not become too big"
],
"metadata": {}
},
{
"outputs": [],
"cell_type": "code",
"source": [
"μ₀ = -3.0\n",
"g = rand(rng, MvNormal(μ₀ * ones(N), K))\n",
"λ = 3.0 # The maximum possible precision\n",
"σ = inv.(sqrt.(λ * AGP.logistic.(g))) # We use the following transform to obtain the std. deviation\n",
"y = f + σ .* randn(N); # We finally sample the ouput"
],
"metadata": {},
"execution_count": 3
},
{
"cell_type": "markdown",
"source": [
"We can visualize the data:"
],
"metadata": {}
},
{
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "Plot{Plots.GRBackend() n=2}",
"image/png": "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",
"text/html": [
"\n",
"\n"
],
"image/svg+xml": [
"\n",
"\n"
]
},
"metadata": {},
"execution_count": 4
}
],
"cell_type": "code",
"source": [
"n_sig = 2 # Number of std. dev. around the mean\n",
"plot(x, f; ribbon=n_sig * σ, lab=\"p(y|f,g)\") # Mean and std. dev. of y\n",
"scatter!(x, y; alpha=0.5, msw=0.0, lab=\"y\") # Observation samples"
],
"metadata": {},
"execution_count": 4
},
{
"cell_type": "markdown",
"source": [
"## Model creation and training\n",
"We will now use the augmented model to infer both `f` and `g`"
],
"metadata": {}
},
{
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "Variational Gaussian Process with a Gaussian likelihood with heteroscedastic noise infered by Analytic Variational Inference "
},
"metadata": {},
"execution_count": 5
}
],
"cell_type": "code",
"source": [
"model = VGP(\n",
" x,\n",
" y,\n",
" kernel,\n",
" HeteroscedasticLikelihood(λ),\n",
" AnalyticVI();\n",
" optimiser=true, # We optimise both the mean parameters and kernel hyperparameters\n",
" mean=μ₀,\n",
" verbose=1,\n",
")"
],
"metadata": {},
"execution_count": 5
},
{
"cell_type": "markdown",
"source": [
"Model training, we train for around 100 iterations to wait for the convergence of the hyperparameters"
],
"metadata": {}
},
{
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[ Info: Starting training Variational Gaussian Process with a Gaussian likelihood with heteroscedastic noise infered by Analytic Variational Inference with 200 samples, 1 features and 2 latent GPs\n",
"[ Info: Training ended after 100 iterations. Total number of iterations 100\n"
]
}
],
"cell_type": "code",
"source": [
"train!(model, 100);"
],
"metadata": {},
"execution_count": 6
},
{
"cell_type": "markdown",
"source": [
"## Predictions\n",
"We can now look at the predictions and compare them with out original model"
],
"metadata": {}
},
{
"outputs": [],
"cell_type": "code",
"source": [
"(f_m, g_m), (f_σ, g_σ) = predict_f(model, x_test; cov=true)\n",
"y_m, y_σ = proba_y(model, x_test);"
],
"metadata": {},
"execution_count": 7
},
{
"cell_type": "markdown",
"source": [
"Let's first look at the differece between the latent `f` and `g`"
],
"metadata": {}
},
{
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "Plot{Plots.GRBackend() n=4}",
"image/png": "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",
"text/html": [
"\n",
"\n"
],
"image/svg+xml": [
"\n",
"\n"
]
},
"metadata": {},
"execution_count": 8
}
],
"cell_type": "code",
"source": [
"plot(x, [f, g]; label=[\"f\" \"g\"])\n",
"plot!(\n",
" x_test,\n",
" [f_m, g_m];\n",
" ribbon=[n_sig * f_σ n_sig * g_σ],\n",
" lab=[\"f_pred\" \"g_pred\"],\n",
" legend=true,\n",
")"
],
"metadata": {},
"execution_count": 8
},
{
"cell_type": "markdown",
"source": [
"But it's more interesting to compare the predictive probability of `y` directly:"
],
"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": 9
}
],
"cell_type": "code",
"source": [
"plot(x, f; ribbon=n_sig * σ, lab=\"p(y|f,g)\")\n",
"plot!(x_test, y_m; ribbon=n_sig * sqrt.(y_σ), lab=\"p(y|f,g) pred\")\n",
"scatter!(x, y; lab=\"y\", alpha=0.2)"
],
"metadata": {},
"execution_count": 9
},
{
"cell_type": "markdown",
"source": [
"Or to explore the heteroscedasticity itself, we can look at the residuals"
],
"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": 10
}
],
"cell_type": "code",
"source": [
"scatter(x, (f - y) .^ 2; yaxis=:log, lab=\"residuals\", alpha=0.2)\n",
"plot!(x, σ .^ 2; lab=\"true σ²(x)\")\n",
"plot!(x_test, y_σ; lab=\"predicted σ²(x)\")"
],
"metadata": {},
"execution_count": 10
},
{
"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": "1.7.3"
},
"kernelspec": {
"name": "julia-1.7",
"display_name": "Julia 1.7.3",
"language": "julia"
}
},
"nbformat": 4
}