A survey on high-dimensional Gaussian process modeling with application to Bayesian optimization

M Binois, N Wycoff - ACM Transactions on Evolutionary Learning and …, 2022 - dl.acm.org
Bayesian Optimization (BO), the application of Bayesian function approximation to finding
optima of expensive functions, has exploded in popularity in recent years. In particular, much …

DiceKriging, DiceOptim: Two R packages for the analysis of computer experiments by kriging-based metamodeling and optimization

O Roustant, D Ginsbourger, Y Deville - Journal of statistical software, 2012 - jstatsoft.org
We present two recently released R packages, DiceKriging and DiceOptim, for the
approximation and the optimization of expensive-to-evaluate deterministic functions …

Additive Gaussian processes revisited

X Lu, A Boukouvalas… - … conference on machine …, 2022 - proceedings.mlr.press
Gaussian Process (GP) models are a class of flexible non-parametric models that have rich
representational power. By using a Gaussian process with additive structure, complex …

Multifidelity information fusion algorithms for high-dimensional systems and massive data sets

P Perdikaris, D Venturi, GE Karniadakis - SIAM Journal on Scientific …, 2016 - SIAM
We develop a framework for multifidelity information fusion and predictive inference in high-
dimensional input spaces and in the presence of massive data sets. Hence, we tackle …

Additive covariance kernels for high-dimensional Gaussian process modeling

N Durrande, D Ginsbourger, O Roustant - Annales de la Faculté des …, 2012 - numdam.org
Gaussian Process models are often used for predicting and approximating expensive
experiments. However, the number of observations required for building such models may …

Derivative based global sensitivity measures

S Kucherenko, B Iooss - arxiv preprint arxiv:1412.2619, 2014 - arxiv.org
The method of derivative based global sensitivity measures (DGSM) has recently become
popular among practitioners. It has a strong link with the Morris screening method and …

Uncertainty quantification of a three-dimensional in-stent restenosis model with surrogate modelling

D Ye, P Zun, V Krzhizhanovskaya… - Journal of the Royal …, 2022 - royalsocietypublishing.org
In-stent restenosis is a recurrence of coronary artery narrowing due to vascular injury
caused by balloon dilation and stent placement. It may lead to the relapse of angina …

Advanced methodology for uncertainty propagation in computer experiments with large number of inputs

B Iooss, A Marrel - Nuclear Technology, 2019 - Taylor & Francis
In the framework of the estimation of safety margins in nuclear accident analysis, a
quantitative assessment of the uncertainties tainting the results of computer simulations is …

[PDF][PDF] Black-box optimization of mixed discrete-continuous optimization problems

M Halstrup - 2016 - d-nb.info
The topic of (statistical) computer experiments is a relatively new field of research. Many
researchers consider the work of Sacks et al.(1989) to be the seminal paper on computer …

High dimensional Bayesian optimization with kernel principal component analysis

K Antonov, E Raponi, H Wang, C Doerr - International Conference on …, 2022 - Springer
Bayesian Optimization (BO) is a surrogate-based global optimization strategy that relies on a
Gaussian Process regression (GPR) model to approximate the objective function and an …