A Bayesian nonstationary nonparametric regression and design package
implementing an array of models of varying flexibility and complexity.
Details
This package implements Bayesian nonstationary, semiparametric nonlinear
regression with “treed Gaussian process models” with jumps to the
limiting linear model (LLM). The package contains functions which facilitate
inference for seven regression models of varying complexity using Markov chain
Monte Carlo (MCMC): linear model, CART (Classification and Regression
Tree), treed linear model, Gaussian process (GP), GP with jumps to the LLM,
GP single-index models, treed GPs, treed GP LLMs, and treed GP single-index
models. R provides an interface to the C/C++ backbone,
and a serves as mechanism for graphically visualizing the results of inference
and posterior predictive surfaces under the models. A Bayesian Monte Carlo
based sensitivity analysis is implemented, and multi-resolution models are
also supported. Sequential experimental design and adaptive sampling
functions are also provided, including ALM, ALC, and expected improvement.
The latter supports derivative-free optimization of noisy black-box functions.
For a fuller overview including a complete list of functions, demos and
vignettes, please use help(package="tgp").
Gramacy, R. B. (2007). tgp: An R Package for
Bayesian Nonstationary, Semiparametric Nonlinear Regression
and Design by Treed Gaussian Process Models.
Journal of Statistical Software, 19(9).
http://www.jstatsoft.org/v19/i09
Robert B. Gramacy, Matthew Taddy (2010). Categorical Inputs,
Sensitivity Analysis, Optimization and Importance Tempering with tgp
Version 2, an R Package for Treed Gaussian Process Models.
Journal of Statistical Software, 33(6), 1–48.
http://www.jstatsoft.org/v33/i06/.
Gramacy, R. B., Lee, H. K. H. (2007).
Bayesian treed Gaussian process models with an application to computer modeling
Journal of the American Statistical Association, to appear.
Also available as ArXiv article 0710.4536
http://arxiv.org/abs/0710.4536
Robert B. Gramacy, Heng Lian (2011).
Gaussian process single-index models as emulators for computer
experiments. Available as ArXiv article 1009.4241
http://arxiv.org/abs/1009.4241
Gramacy, R. B., Lee, H. K. H. (2006).
Adaptive design of supercomputer experiments.
Available as UCSC Technical Report ams2006-02.
Gramacy, R.B., Samworth, R.J., and King, R. (2007)
Importance Tempering. ArXiV article 0707.4242
http://arxiv.org/abs/0707.4242
Gray, G.A., Martinez-Canales, M., Taddy, M.A., Lee, H.K.H., and
Gramacy, R.B. (2007) Enhancing Parallel Pattern Search Optimization with
a Gaussian Process Oracle, SAND2006-7946C, Proceedings of the NECDC