(Ebook) Surrogates: Gaussian Process Modeling, Design, and Optimization for the Applied Sciences by Robert B. Gramacy (Author) ISBN 9780367415426, 9780367815493, 9781000766202, 9781000766363, 9781000766523, 0367415429, 0367815494, 1000766209, 1000766365

(Ebook) Surrogates: Gaussian Process Modeling, Design, and Optimization for the Applied Sciences by Robert B. Gramacy (Author) ISBN 9780367415426, 9780367815493, 9781000766202, 9781000766363, 9781000766523, 0367415429, 0367815494, 1000766209, 1000766365

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.Table of Contents1 Historical Perspective2 Four Motivating Datasets3 Steepest Ascent and Ridge Analysis4 Space-filling Design5 Gaussian process regression6 Model-Based Design for GPs7 Optimization8 Calibration and Sensitivity9 GP Fidelity and Scale10 HeteroskedasticityAppendix A Numerical Linear Algebra for Fast GPsAppendix B An Experiment Game