Description:

If you use GPstuff, please use the reference: Jarno Vanhatalo, Jaakko Riihimäki, Jouni Hartikainen, Pasi Jylänki, Ville Tolvanen, Aki Vehtari (2013). GPstuff: Bayesian Modeling with Gaussian Processes. In Journal of Machine Learning Research, 14:1175-1179.

See also user guide at http://arxiv.org/abs/1206.5754

GPstuff is a toolbox for Bayesian Modeling with Gaussian Processes with following features and more:

• Several covariance functions (e.g. squared exponential, exponential, Matérn, periodic and a compactly supported piece wise polynomial function)
  • Sums, products and scaling of covariance functions
  • Euclidean and delta distance
• Several mean functions with marginalized parameters
• Several likelihood/observation models
  • Continuous observations: Gaussian, Gaussian scale mixture (MCMC only), Student's-t, quantile regression
  • Classification: Logit, Probit, multinomial logit (softmax), multinomial probit
  • Count data: Binomial, Poisson, (Zero truncated) Negative-Binomial, Hurdle model, Zero-inflated Negative-Binomial, Multinomial
  • Survival: Cox-PH, Weibull, log-Gaussian, log-logistic
  • Point process: Log-Gaussian Cox process
  • Density estimation and regression: logistic GP
  • Other: derivative observations (for sexp covariance function only)
  • Monotonicity information
• Hierarchical priors for hyperparameters
• Sparse models
  • Sparse matrix routines for compactly supported covariance functions
  • Fully and partially independent conditional (FIC, PIC)
  • Compactly supported plus FIC (CS+FIC)
  • Variational sparse (VAR), Deterministic training conditional (DTC), Subset of regressors (SOR) (Gaussian/EP only)
  • PASS-GP
• Latent inference
  • Exact (Gaussian only)
  • Laplace, Expectation propagation (EP), Parallel EP, Robust-EP
  • marginal posterior corrections (cm2 and fact)
  • Scaled Metropolis, Hamiltonian Monte Carlo (HMC), Scaled HMC, Elliptical slice sampling
  • State space inference (1D for some covariance functions)
• Hyperparameter inference
  • Type II ML/MAP
  • Leave-one-out cross-validation (LOO-CV), Laplace/EP LOO-CV
  • Metropolis, HMC, No-U-Turn-Sampler (NUTS), Slice Sampling (SLS), Surrogate SLS, Shrinking-rank SLS, Covariance-matching SLS
  • Grid, CCD, Importance sampling
• Model assessment
  • LOO-CV, Laplace/EP LOO-CV, IS-LOO-CV, k-fold-CV
  • WAIC, DIC
  • Average predictive comparison

Changes to previous version:

2014-04-11 Version 4.4

New features

• Monotonicity constraint for the latent function.

  • Riihimäki and Vehtari (2010). Gaussian processes with monotonicity information. Journal of Machine Learning Research: Workshop and Conference Proceedings, 9:645-652.

• State space implementation for GP inference (1D) using Kalman filtering.

  • For the following covariance functions: Squared-Exponential, Matérn-3/2 & 5/2, Exponential, Periodic, Constant
  • Särkkä, S., Solin, A., Hartikainen, J. (2013). Spatiotemporal learning via infinite-dimensional Bayesian filtering and smoothing. IEEE Signal Processing Magazine, 30(4):51-61.
    
  • Simo Sarkka (2013). Bayesian filtering and smoothing. Cambridge University Press.
  • Solin, A. and Särkkä, S. (2014). Explicit link between periodic covariance functions and state space models. AISTATS 2014.

Improvements

• GP_PLOT function for quick plotting of GP predictions
• GP_IA now warns if it detects multimodal posterior distributions
• much faster EP with log-Gaussian likelihood (numerical integrals -> analytical results)
• faster WAIC with GP_IA array (numerical integrals -> analytical results)
• New demos demonstrating new features etc.
  • demo_minimal, minimal demo for regression and classification
  • demo_kalman1, demo_kalman2
  • demo_monotonic, demo_monotonic2

Plus bug fixes

BibTeX Entry: Download

Corresponding Paper BibTeX Entry: Download

Supported Operating Systems: Agnostic, Platform Independent

Data Formats: Matlab, Octave

Tags: Classification, Regression, Machine Learning, Nonparametric Bayes, Gaussian Process, Bayesian Inference

Archive: download here

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