Gaussian process modeling, design, and optimization for the applied sciences Gramacy, Robert B. creator author. text bibliography flu 2020 monographic eng 1 online resource (xv, 543 pages) "Surrogates: a graduate textbook, or professional handbook, on topics at the interface between machine learning, spatial statistics, computer simulation, meta-modeling (i.e., emulation), design of experiments, and optimization. Experimentation through simulation, "human out-of-the-loop" statistical support (focusing on the science), management of dynamic processes, online and real-time analysis, automation, and practical application are at the forefront. Topics include: Gaussian process (GP) regression for flexible nonparametric and nonlinear modeling. Applications to uncertainty quantification, sensitivity analysis, calibration of computer models to field data, sequential design/active learning and (blackbox/Bayesian) optimization under uncertainty. Advanced topics include treed partitioning, local GP approximation, modeling of simulation experiments (e.g., agent-based models) with coupled nonlinear mean and variance (heteroskedastic) models. Treatment appreciates historical response surface methodology (RSM) and canonical examples, but emphasizes contemporary methods and implementation in R at modern scale. Rmarkdown facilitates a fully reproducible tour, complete with motivation from, application to, and illustration with, compelling real-data examples. Presentation targets numerically competent practitioners in engineering, physical, and biological sciences. Writing is statistical in form, but the subjects are not about statistics. Rather, they're about prediction and synthesis under uncertainty; about visualization and information, design and decision making, computing and clean code"-- Historical perspective -- Four motivating datasets -- Steepest ascent and ridge analysis -- Space-filling design -- Gaussian process regression -- Model-based design for GPs -- Optimization -- Calibration and sensitivity -- GP fidelity and scale -- Heteroskedasticity. Robert B. Gramacy. "A Chapman & Hall Book" -- Title page." Gaussian processes Data processing Regression analysis Mathematical models Response surfaces (Statistics) R (Computer program language) Computer simulation MATHEMATICS / Probability & Statistics / Regression Analysis MATHEMATICS / Probability & Statistics / Multivariate Analysis QA274.4 .G73 2020 519.8/2 9780367815493 0367815494 9781000766523 1000766527 9781000766202 1000766209 9781000766363 1000766365 https://www.taylorfrancis.com/books/9780367815493 http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf https://www.taylorfrancis.com/books/9780367815493 http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf OCoLC-P 191229 20260210180730.0 9780367815493 eng