A comprehensive guide to Gaussian Process libraries

LIBRARY	LANGUAGE	LICENSE	REPOSITORY	RELEASE	INSTALLATION	DEVELOPERS & FUNDING	DOCUMENTATION	COMMUNITY SUPPORT	FRAMEWORK	GPU	SOLVERS		TREND TYPES	KERNEL \( R(x,x';\theta) \)				LIKELIHOOD			ESTIMATION METHODS	OPTIMIZATION METHODS	RESAMPLING	METRICS
LIBRARY	LANGUAGE	LICENSE	REPOSITORY	RELEASE	INSTALLATION	DEVELOPERS & FUNDING	DOCUMENTATION	COMMUNITY SUPPORT	FRAMEWORK	GPU	MODELS	COMPLEXITY	TREND TYPES	LENGTH SCALE	CORRELATION FAMILIES	MIXTURE	MIXTURE MODEL	TYPE	NUGGET	NOISE VARIANCE \( \sigma^2 \)	ESTIMATION METHODS	OPTIMIZATION METHODS	RESAMPLING	METRICS
AbstractGPs.jl n/a	julia	MIT	JuliaGaussianProcesses/AbstractGPs.jl	v0.5.24		AbstractGPs.jl contributors	docs examples
albatross n/a	C++	MIT	swift-nav/albatross	n/a		Swift Navigation albatross contributors	docs
AutoGP Krauth et al. (2017)	Python	Apache-2.0	ebonilla/AutoGP	n/a		The University of New South Wales EURECOM AutoGP contributors
AutoGP.jl Saad et al. (2023)	julia	Apache-2.0	probsys/AutoGP.jl	v0.1.9		Carnegie Mellon University Google Research Massachusetts Institute of Technology	docs tutorials API
celerite Foreman-Mackey et al. (2017)	C++ julia Python	MIT	dfm/celerite	v0.4.3		University of Washington Flatiron Institute Indian Institute of Science Columbia University celertie contributors	docs API
celerite2 Gordon et al. (2020)	C++ Python	MIT	exoplanet-dev/celerite2	v0.3.2		University of Washington Flatiron Institute celertie2 contributors	docs tutorials
DACE Nielsen et al. (2002)	MATLAB	Custom	n/a	v2.5	add to the path	Technical University of Denmark (DTU)	docs user manuals				Gaussian Process Regression (GPR)	\( \mathcal{O}(N^3) \)	Constant Linear Quadratic	Isotropic Anisotropic	Gaussian Exponential Linear Spherical Cubic Spline			Gaussian		Inferable	Maximum Likelihood Estimation (MLE)	Matlab Optimization Toolbox
deepgp Sauer et al. (2023)	R	LGPL	cran/deepgp	1.1.3		Virginia Polytechnic Institute and State University	docs tutorials
DiceKriging Roustant et al. (2012)	R	GPL-2.0	cran/DiceKriging	R-3.0.3	CRAN	INSA Toulouse Ecole des Mines de St-Etienne Universitat Bern Alpestat	docs	blog			Gaussian Process Regression (GPR)	\( \mathcal{O}(N^3) \)	Zero Constant Polynomial Custom	Isotropic Anisotropic	Gaussian Exponential Matern32 Matern52 Power-exponential			Gaussian	Custom Inferable	Inferable	Maximum Likelihood Estimation (MLE)	BFGS genoud
egobox-gp Lafage (2022)	Rust Python	Apache-2.0	relf/egobox	0.29.0	cargo PyPI	ONERA University of Toulouse egobox contributors	docs				Gaussian Processes Regression (GPR) Sparse Gaussian Process Regression (SGPR)	\( \mathcal{O}(N^3) \) \( \mathcal{O}(NM^2) \)	Constant Linear Quadratic	Isotropic Anisotropic	Squared Exponential Absolute Exponential Matern32 Matern52			Gaussian			Maximum Likelihood Estimation (MLE) Fully Independent Training Conditional (FITC)	Cobyla SLSQP		Leave-One-Out Cross-Validation (LOOCV) Cross-Validation score
fbm Neal (1996)	C	BSL-1.0	radfordneal/fbm	fbm.2022-04-21		University of Toronto	docs						Zero
friedrich n/a	Rust	Apache-2.0	nestordemeure/friedrich	n/a		friedrich contributors
gaussianproc n/a	GO	N/A	n/a	v0
GaussianProcesses.jl Fairbrother et al. (2022)	julia	MIT	STOR-i/GaussianProcesses.jl	v0.12.5	Pkg.jl	Lancaster University EPFL GaussianProcesses.jl contributors	docs tutorials jupyter notebooks		Optim.jl Distributions.jl		Gaussian Process Regression (GPR) Gaussian Process Classification (GPC) Sparse Gaussian Process (SGP)	\( \mathcal{O}(N^3) \) \( \mathcal{O}(NM^2) \)	Zero Constant Linear Polynomial Sum Product Custom	Isotropic Anisotropic	Squared Exponential Matern12 Matern32 Matern52 Polynomial Periodic Rational Quadratic Fixed Masked		Sum Product	Gaussian Bernoulli Poisson Binomial Exponential Student-T	Custom	Inferable	Maximum Likelihood Estimation (MLE) Markov Chain Monte Carlo (MCMC) Variational Inference Fully Independent Training Conditional (FITC) Subset of Regressors (SoR) Deterministic Training Conditional (DTC) Full scale approximation (FSA)	Optim.jl optimizer L-BFGS Conjugate gradients
george Ambikasaran et al. (2015)	Python	MIT	dfm/george	v0.4.4		New York University Simons Foundation george contributors	docs tutorials
go-kriging n/a	GO	MIT	lvisei/go-kriging	v0.0.1-alpha.15
GPflow Matthews et al. (2017)	Python	Apache-2.0	GPflow/GPflow	v2.9.2	PyPI	University of Cambridge University of Oxford Kyoto University University of Edinburgh The University of Manchester Lancaster University GPflow contributors	docs	slack GitHub discussions stackoverflow	TensorFlow		Gaussian Process Regression (GPR) Gaussian Process Classification (GPC) Sparse Gaussian Process Regression (SGPR) GPR with Fully Independent Training Conditional (FITC) Variational Gaussian Process (VGP) Sparse Variational Gaussian Process (SVGP) Gaussian Process Latent Variable Model (GPLVM) Conjugate Gradient Lower Bound (CGLB) Gaussian Process Markov Chain Monte Carlo (GPMC) Sparse Gaussian Process Markov Chain Monte Carlo (SGPMC) Convolutional Gaussian Process Multi-output Gaussian Process (MOGP)	\( \mathcal{O}(N^3) \) \( \mathcal{O}(NM^2) \)	Zero Additive Polynomial Constant Identity Linear Product Switched Function Custom	Isotropic Anisotropic	ArcCosine Bias Change Points Constant Convolutional Coregion Cosine Exponential Independent Latent Linear Linear Coregionalization Matern12 Matern32 Matern52 Multioutput Periodic Polynomial Squared Exponential Rational Quadratic Separate Independent Shared Independent Squared Exponential Static Stationary White Custom		Sum Product Combination	Bernoulli Beta Exponential Gamma Gaussian Gaussian MC Heteroskedastic TFP Conditional Monte Carlo Likelihood Multi Latent Likelihood Student-T Poisson Softmax Switched Likelihood Scalar Custom	Custom Fixed Non-Trainable default value: 1e-6	Inferable	Maximum Likelihood Estimation (MLE) Variational Free Energy (VFE) Evidence Lower Bound (ELBO) Markov Chain Monte Carlo (MCMC) Expectation Propagation (EP) Laplace approximation (LA)	NaturalGradient Adam SciPy optimizer Keras optimizer
GPflux Dutordoir et al. (2021)	Python	Apache-2.0	secondmind-labs/GPflux	v0.4.4		University of Cambridge Imperial College London University College London Secondimind labs GPflux contributors	docs tutorials API	slack
GpGp Guinness et al. (2018)	R	MIT	cran/GpGp	0.5.1		Cornell University GpGp contributors	docs tutorials
GPJax Pinder et al. (2022)	Python	Apache-2.0	JaxGaussianProcesses/GPJax	v0.11.0	PyPI	Lancaster University GPJax contributors	docs tutorials API	GitHub discussions contact form	JAX		Gaussian Processes Regression (GPR) Gaussian Processes Classification (GPC) Deep Gaussian Processes (DGP) Sparse Gaussian Process Regression (SGPR) Sparse Variational Gaussian Process (SVGP) Multi-output Gaussian Process (MOGP)	\( \mathcal{O}(N^3) \) \( \mathcal{O}(NM^2) \)	Zero Constant Combination	Isotropic Anisotropic	Matern12 Matern32 Matern52 Squared Exponential Rational Quadratic Powered Exponential Periodic White noise Linear Polynomial Graph kernels Non-stationary ArcCosine Non-stationary Linear Non-stationary Polynomial Custom		Sum Product	Gaussian Bernoulli Poisson	Custom Inferable default value: 1e-6	Inferable	Maximum Likelihood Estimation (MLE) Leave-One-Out Cross-Validation (LOOCV) Markov Chain Monte Carlo (MCMC) Stochastic Variational Inference (SVI) Evidence Lower Bound (ELBO) Variational Expectation (VE)	Optax SciPy optimizer		Leave-One-Out Cross-Validation (LOOCV) Conjugate Marginal Log-Likelihood (MLL) Log-Posterior Density
GPML Rasmussen et al. (2010)	MATLAB GNU Octave	FreeBSD	hnickisch/gpml-matlab	v4.2	add to the path sturtup	University of Cambridge Max Planck Institute	docs user manuals				Gaussian Process Regression (GPR) Gaussian Process Classification (GPC)	\( \mathcal{O}(N^3) \) \( \mathcal{O}(NM^2) \)	Zero One Constant Linear Polynomial Discrete Precomputed mean Predictive Nearest neighbor Weighted sum of projected cosines Scaled Sum Product Power Mask Difference Warped	Isotropic Anisotropic	Constant LinearWhite noise Picewise Polynomial Matern12 Matern32 Matern52 Rational Quadratic Squared Exponential			Erf (Probit) Logistic (Logit) Uniform Gaussian Gumbel Laplace Search-square Student-T Poisson Negative Binomial Gamma Exponential Log Gaussian Beta Mixture			Exact inference Laplace Approximation (LA) Expectation Propagation (EP) Variational Bayes Approximation (VB) Kullback-Leibler Approximation (KL) Markov Chain Monte Carlo (MCMC) Leave-One-Out Cross-Validation (LOOCV)
GPR n/a	C++	Apache-2.0	ChristophJud/GPR	n/a		University of Basel
GPstuff Vanhatalo et al. (2017)	R MATLAB GNU Octave	GPL-3.0	gpstuff-dev/gpstuff	v4.7	matlab_install add to the path CRAN	University of Helsinki Aalto University of Science GPstuff contributors	docs				Gaussian Process Regression (GPR) Gaussian Process Classification (GPC) Sparse Gaussian Process (SGP) GPR with Fully Independent Training Conditional (FITC) GPR with Partial Independent Training Conditional (PITC) Sparse Variational Gaussian Process (SVGP)	\( \mathcal{O}(N^3) \) \( \mathcal{O}(NM^2) \)	Zero Constant Linear Squared	Isotropic Anisotropic	Categorical Constant Squared Exponential Linear Matern 3/2 Matern 5/2 NN Periodic Piecewise Polynomial Rational Quadratic		Sum Product Scale	Gaussian Gaussian scale mixture Student-T Logit Probit Softmax Binomial Poisson Negative-binomial Hurdle model Weibull	Custom	Inferable	Maximum Likelihood Estimation (MLE) Deviance information criterion (DIC) Leave-one-out Cross-Validation (LOOCV) Widely Applicable Information Criterion (WAIC) Laplace Approximation (LA) Expectation Propagation (EP) Markov Chain Monte Carlo (MCMC) Hamiltonian Monte Carlo (HMC)	fminscg fminlbfgs fminunc		Euclidean distance
GPvecchia Katzfuss et al. (2017)	R	GPL-2.0 GPL-3.0	katzfuss-group/GPvecchia	v0.1.4		Texas A&M University Cornell University GPvecchia contributors	docs tutorials
GPy GPy (2012)	Python	BSD-3-Clause	SheffieldML/GPy	v1.13.2	PyPI	University of Sheffield GPy contributors	docs jupyter notebooks	GitHub discussions	NumPy SciPy		Gaussian Process Regression (GPR) Gaussian Process Classification (GPC) Sparse Gaussian Process Regression (SGPR) Sparse Gaussian Process Classification (SGPC) Variational Gaussian Process (VGP) Gaussian Process Latent Variable Model (GPLVM) Sparse Gaussian Process Latent Variable Model (SGPLVM) Spike-and-Slab Gaussian Process Latent Variable Model (SSGPLVM) Back constrained Gaussian Process Latent Variable Model (BCGPLVM) Multi-output Gaussian Process (MOGP)	\( \mathcal{O}(N^3) \) \( \mathcal{O}(NM^2) \)	Zero Constant Linear Polynomial Custom	Isotropic Anisotropic	Squared Exponential Matern Browian Linear Bias Periodic Polynomial MLP Coregionalized White Cosine Exponential Quadratic Exponential Rational Quadratic		Addition Multiplication Coregionalization Active Dimensions	Gaussian Bernoulli Binomial Exponential Gamma LogLogistic LogGaussian Mixed Noise Poisson Student-T Weibull	Custom Inferable default value: 1e-6	Inferable	Maximum Likelihood Estimation (MLE) Evidence Lower Bound (ELBO) Variational Free Energy (VFE) Laplace Approximation (LA) Variational Inference (VI)	L-BFGS Scaled Conjugate Gradient (SCG) Gradient Descent SciPy Optimizer
GPyTorch Gardner et al. (2018)	Python	MIT	cornellius-gp/gpytorch	v1.14	PyPI conda	Cornell University The University of British Columbia Meta New York University University of Pennsylvania GPyTorch contributors	docs examples	stackoverflow GitHub discussions	PyTorch		Gaussian Process Regression (GPR) Gaussian Process Classification (GPC) GPR with BlackBox Matrix-Matrix Inference (BBMM) GPR with LancZos Variance Estimates (LOVE) Sparse Gaussian Process Regression (SGPR) Structured Kernel Interpolation (SKI/KISS-GP) Structured Kernel Interpolation for Products (SKIP) Structure-Exploiting Kernels Approximate GP Inference Deep GPs Gaussian Process Latent Variable Model (GPLVM) Multi-output Gaussian Process (MOGP)	\( \mathcal{O}(N^3) \) \( \mathcal{O}(N^2) \) \( \mathcal{O}(NM^2) \) \( \mathcal{O}(N) \) \( \mathcal{O}(N + M \log M) \)	Zero Constant Linear	Isotropic Anisotropic	Cosine Constant Cylindrical Linear Matern Periodic Picewise Polynomial Polynomial Squared Exponential Rational Quadratic Spectral Delta Spectral Mixture Arc Index LCMK Multitask Grid Grid Interpolation Inducing Point RFFK Hamming IMQ Hamming IMQ Gaussian Symmetrized KL Distributional Input		Additive Product Scale Spectral Mixture	Gaussian Gaussian With Missing Values Fixed Noise Gaussian Dirichlet Classification Bernoulli Beta Laplace Student-T Multitask Gaussian Softmax Heteroskedastic Noise	Custom Fixed Non-Trainable default value: 1e-6 for float default value: 1e-8 for double	Inferable	Maximum Likelihood Estimation (MLE) Leave One Out Cross Validation (LOO-CV) Variational evidence lower bound (ELBO) Variational Inference (VI) Predictive Log Likelihood Gamma Robust Variational ELBO Deep Approximate MLL Inducing Point Kernel Added Loss Term KL Gaussian Added Loss Term	Natural Gradient Descent (NGD) PyTorch optimizer Adam L-BFGS SGD		Negative Log Predictive Density (NLPD) Meas Standardized Log Loss (MSLL) Mean Absolute Error (MAE) Mean Squared Error (MSE)
GSTools Müller et al. (2022)	Python	LGPL	GeoStat-Framework/GSTools	v1.7.0		UFZ University of Potsdam CASUS Utrecht University GSTools contributors	docs tutorials API	GitHub discussions
Keras-GP Al-Shedivat et al. (2017)	Python	MIT	alshedivat/keras-gp	0.3.2		Carnegie Mellon University Cornell University Keras-GP contributors	examples tutorials
libgp n/a	C++	BSD-3-Clause	mblum/libgp	v0.3.0			docs
libKriging Richet et al. (2023)	C++ Python R MATLAB GNU Octave	Apache-2.0	libKriging/libKriging	v0.9.1		libKriging contributors	docs r docs API colab notebooks
mogptk de Wolff et al. (2020)	Python	MIT	GAMES-UChile/mogptk	v0.5.1		GAMES Universidad de Chile mogptk contributors	docs tutorials examples
MUQ Parno et al. (2021)	C++ Python	BSD-3-Clause	mituq/muq2	v0.4.3		Massachusetts Institute of Technology Dartmouth College New York University Heidelberg University National Science Foundation US Department of Energy	docs examples py examples	slack
Neural Tangents Novak et al. (2020)	Python	Apache-2.0	google/neural-tangents	v0.6.5		Google Brain University of Cambridge Neural Tangents contributors	docs colab notebooks talk
ooDACE n/a	MATLAB	GPL-3.0	n/a	n/a	add to the path startup	Ghent University	docs				Gaussian Process Regression (GPR)	\( \mathcal{O}(N^3) \)	Zero Constant Linear Polynomial	Isotropic Anisotropic	Gaussian Matern32 Matern52 Exponential			Gaussian		Inferable	Maximum Likelihood Estimation (MLE) Cross-validation estimation (CV)	NLOPT PCTOptimizer		Mean Squared Error (MSE) Cross-Validation (CV)
OpenTURNS Baudin et al. (2016)	C++ Python	LGPL	openturns/openturns	v1.24	PyPI conda	Airbus Group EDF R&D Phimeca Engineering IMACS ONERA OpenTURNS contributors	docs	chat forum stackoverflow			Gaussian Process Regression (GPR)	\( \mathcal{O}(N^3) \)	Constant Linear Quadratic Custom	Isotropic Anisotropic	Squared Exponential Exponential Matern Kroenecker Rank-M Spherical Tensorized Custom		Product	Gaussian	Custom Inferable	Inferable	Maximum Likelihood Estimation (MLE)	NLopt Cobyla L-BFGS-B TNC		Coefficient of determination (\( R^2 \)) Mean Squared Error (MSE)
pyGPs Neumann et al. (2015)	Python	FreeBSD	marionmari/pyGPs	v1.3.5		Washington University Fraunhofer IAIS TU Dortmund Sproutling pyGPs contributors	docs examples
PyKrige Müller et al. (2022)	Python	BSD-3-Clause	GeoStat-Framework/PyKrige	v1.7.2		UFZ University of Potsdam CASUS Utrecht University PyKrige contributors	docs examples API	GitHub discussions
PyMC Abril-Pla et al. (2023)	Python	Apache-2.0	pymc-devs/pymc	v5.22.0		ArviZ-Devs Boston University Google Research University of Toronto The Hospital for Sick Children Philadelphia Phillies Baseball Operations Department PyMC Labs Stony Brook University Universidad Nacional de San Luis Forschungszentrum Jülich University of Oxford NumFOCUS Mistplay ODSC ADIA Lab PyMC contributors	docs examples API	forum GitHub discussions
PYRO Bingham et al. (2019)	Python	Apache-2.0	pyro-ppl/pyro	1.9.1		Uber AI Stanford University Broad Institute Linux Foundation PYRO contributors	docs examples	forum
scikit-learn Pedregosa et al. (2011)	Python	BSD-3-Clause	scikit-learn/scikit-learn	1.6.1	PyPI conda	Community driven NVIDIA INRIA Hugging Face Microsoft Quansight Labs sci-kit-learn contributors	docs examples tutorials API	blog stackoverflow GitHub discussions	NumPy SciPy		Gaussian Process Regression (GPR) Gaussian Process Classification (GPC)	\( \mathcal{O}(N^3) \)	Zero	Isotropic Anisotropic	Matern Constant Dot-Product Squared Exponential Rational Quadratic White		Sum Product Exponentiation Compound	Gaussian Bernoulli	Custom default value: 1e-10	Inferable	Maximum Likelihood Estimation (MLE) Laplace Approximation (LA) Expectation Propagation (EP)	L-BFGSB SciPy Optimizer		Mean Squared Error (MSE) Mean Squared Log Error (MSLE) Root Mean Squared Error (RMSE) Mean Absolute Error (MAE) Mean Absolute Percentage Error (MAPE) Median Absolute Error (MedAE) Coefficient of determination (\( R^2 \)) Explained Variance Max Error
SMT Saves et al. (2024)	Python	BSD-3-Clause	SMTorg/smt	v2.9.2	PyPI	ISAE SUPEAERO NASA ONERA University of Michigan University of San Diego Polytechnique Montréal SMT contributors	docs tutorials		NumPy Numba SciPy		Gaussian Process Regression (GPR) Sparse Gaussian Process Regression (SGPR) Marginal GP Inference Kriging with Partial Least Squares (KPLS / KPLSK) Gradient-enhaced Kriging (GEK)	\( \mathcal{O}(N^3) \) \( \mathcal{O}(NM^2) \)	Constant Linear Quadratic	Isotropic Anisotropic	Power Exponential Absolute Exponential Squared Exponential Matern32 Matern52 Categorical Hierarchical			Gaussian	Custom Inferable default value: 2.22e-14	Inferable	Maximum Likelihood Estimation (MLE) Fully Independent Training Conditional (FITC) Variational Free Energy (VFE)	Cobyla TNC
STAN Stan Development Team (2017)	R C++ julia Python MATLAB	BSD-3-Clause	brian-lau/MatlabStan	v2.15.1.0		Stan Development Team NumFOCUS Stan contributors MatlabStan contributors RStan contributors pyStan contributors Stan.jl contributors	docs r docs mat docs py docs jl docs	forum slack
Stheno Tebbutt et al. (2019)	julia Python	MIT	JuliaGaussianProcesses/Stheno.jl	v0.8.2		University of Cambridge Stheno.jl contributors Stheno py contributors	py docs jl docs py examples jl examples py API jl API talk	GitHub discussions
STK Bect et al. (2023)	MATLAB GNU Octave	GPL-3.0	stk-kriging/stk	2.8.1	stk_init	CentraleSupélec STK contributors	docs examples	mailing-list			Gaussian Process Regression (GPR)	\( \mathcal{O}(N^3) \)	Zero Constant Linear	Isotropic Anisotropic	Gaussian Matern32 Matern52 Spherical Discrete			Gaussian		Inferable	Restricted Maximum Likelihood Estimation (REMLE)	fmincon fminsearch		Leave-One-Out Cross-Validation (LOOCV)
SuperGauss Ling et al. (2020)	R	GPL-3.0	mlysy/SuperGauss	n/a		University of Waterloo SuperGauss contributors	docs tutorials
Surrogates.jl n/a	julia	MIT	SciML/Surrogates.jl	v6.11.0		Chan Zuckerberg Initiative Wellcome Trust Microsoft Surrogates.jl contributors	docs	chat
TemporalGP.jl Tebbutt et al. (2021)	julia	MIT	JuliaGaussianProcesses/TemporalGPs.jl	v0.7.3		University of Cambridge Aalto University TemporalGPs.jl contributors	examples talk
tinygp Foreman-Mackey et al. (2024)	Python	MIT	dfm/tinygp	v0.3.0	PyPI	Simons Foundation tinygp contributors	docs tutorials API	GitHub discussions	JAX NumPyro		Gaussian Process Regression (GPR) Scalable Gaussian Processes (SGP)	\( \mathcal{O}(N^3) \)	Custom	Isotropic Anisotropic	Constant Polynomial Dot Product Exponential Squared Exponential Matern32 Matern52 Cosine Exponential Sine Squared Rational Quadratic Custom		Sum Product	Gaussian Non-Gaussian	Custom	Inferable	Maximum Likelihood Estimation (MLE)	jaxopt
UQLab Marelli et al. (2014)	MATLAB	BSD-3-Clause	n/a	v2.1.0	uqlab_install	RSUQ ETH Zürich UQLab contributors	docs user manuals examples	contact form forum			Gaussian Process Regression (GPR) Multi-output Gaussian Process (MOGP)	\( \mathcal{O}(N^3) \)	Zero Constant Linear Quadratic Polynomial Custom	Isotropic Anisotropic	Linear Exponential Gaussian Matern32 Matern52 Custom			Gaussian	Custom default value: 1e-10	Inferable	Maximum Likelihood Estimation (MLE) Cross-validation estimation (CV)	L-BFGS GA HGA CMA-ES HCMA-ES		Leave-One-Out Cross-Validation (LOOCV) Validation Error
UQpy Olivier et al. (2020)	Python	MIT	SURGroup/UQpy	v4.2.0	PyPI conda	Johns Hopkins University UQpy contributors	docs examples	GitHub discussions	NumPy SciPy		Gaussian Process Regression (GPR)	\( \mathcal{O}(N^3) \)	Constant Linear Quadratic Custom	Isotropic Anisotropic	Squared Exponential Matern Custom			Gaussian		Inferable	Maximum Likelihood Estimation (MLE)	SciPy optimizer MinimizeOptimizer FminCobyla
UQ[py]Lab Lataniotis et al. (2021)	Python	BSD-3-Clause	n/a	v1.0.0	PyPI	RSUQ ETH Zürich UQ[py]Lab contributors	docs user manuals examples	contact form forum			Gaussian Process Regression (GPR) Multi-output Gaussian Process (MOGP)	\( \mathcal{O}(N^3) \)	Zero Constant Linear Quadratic Polynomial Custom	Isotropic Anisotropic	Linear Exponential Gaussian Matern32 Matern52 Custom			Gaussian	Custom default value: 1e-10	Inferable	Maximum Likelihood Estimation (MLE) Cross-validation estimation (CV)	L-BFGS GA HGA CMA-ES HCMA-ES		Leave-One-Out Cross-Validation (LOOCV) Validation Error

Source: © A. Faraci, P. Beaurepaire, N. Gayton; A comprehensive guide to Gaussian Process libraries: bridging theory with practice through features, limitations, and performance.

This Project has received funding from the European Union’s Horizon 2020 research and innovation programme under Marie Sklodowska-Curie project GREYDIENT – Grant Agreement n°955393