A survey of adaptive sampling for global metamodeling in support of simulation-based complex engineering design

H Liu, YS Ong, J Cai - Structural and Multidisciplinary Optimization, 2018 - Springer
Metamodeling is becoming a rather popular means to approximate the expensive
simulations in today's complex engineering design problems since accurate metamodels …

Kernels for vector-valued functions: A review

MA Alvarez, L Rosasco… - Foundations and Trends …, 2012 - nowpublishers.com
Kernel methods are among the most popular techniques in machine learning. From a
regularization perspective they play a central role in regularization theory as they provide a …

[HTML][HTML] A machine learning method for the prediction of ship motion trajectories in real operational conditions

M Zhang, P Kujala, M Musharraf, J Zhang, S Hirdaris - Ocean Engineering, 2023 - Elsevier
This paper presents a big data analytics method for the proactive mitigation of grounding
risk. The model encompasses the dynamics of ship motion trajectories while accounting for …

Machine learning of linear differential equations using Gaussian processes

M Raissi, P Perdikaris, GE Karniadakis - Journal of Computational Physics, 2017 - Elsevier
This work leverages recent advances in probabilistic machine learning to discover
governing equations expressed by parametric linear operators. Such equations involve, but …

Remarks on multi-output Gaussian process regression

H Liu, J Cai, YS Ong - Knowledge-Based Systems, 2018 - Elsevier
Multi-output regression problems have extensively arisen in modern engineering
community. This article investigates the state-of-the-art multi-output Gaussian processes …

Inferring solutions of differential equations using noisy multi-fidelity data

M Raissi, P Perdikaris, GE Karniadakis - Journal of Computational Physics, 2017 - Elsevier
For more than two centuries, solutions of differential equations have been obtained either
analytically or numerically based on typically well-behaved forcing and boundary conditions …

Variational Fourier features for Gaussian processes

J Hensman, N Durrande, A Solin - Journal of Machine Learning Research, 2018 - jmlr.org
This work brings together two powerful concepts in Gaussian processes: the variational
approach to sparse approximation and the spectral representation of Gaussian processes …

The role of surrogate models in the development of digital twins of dynamic systems

S Chakraborty, S Adhikari, R Ganguli - Applied Mathematical Modelling, 2021 - Elsevier
Digital twin technology has significant promise, relevance and potential of widespread
applicability in various industrial sectors such as aerospace, infrastructure and automotive …

[PDF][PDF] Computationally efficient convolved multiple output Gaussian processes

MA Alvarez, ND Lawrence - The Journal of Machine Learning Research, 2011 - jmlr.org
Recently there has been an increasing interest in regression methods that deal with multiple
outputs. This has been motivated partly by frameworks like multitask learning, multisensor …

High-dimensional Bayesian optimization using low-dimensional feature spaces

R Moriconi, MP Deisenroth, KS Sesh Kumar - Machine Learning, 2020 - Springer
Bayesian optimization (BO) is a powerful approach for seeking the global optimum of
expensive black-box functions and has proven successful for fine tuning hyper-parameters …