A survey of adaptive sampling for global metamodeling in support of simulation-based complex engineering design
Metamodeling is becoming a rather popular means to approximate the expensive
simulations in today's complex engineering design problems since accurate metamodels …
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 …
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
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 …
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 …
governing equations expressed by parametric linear operators. Such equations involve, but …
Remarks on multi-output Gaussian process regression
Multi-output regression problems have extensively arisen in modern engineering
community. This article investigates the state-of-the-art multi-output Gaussian processes …
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 …
analytically or numerically based on typically well-behaved forcing and boundary conditions …
Variational Fourier features for Gaussian processes
This work brings together two powerful concepts in Gaussian processes: the variational
approach to sparse approximation and the spectral representation of Gaussian processes …
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
Digital twin technology has significant promise, relevance and potential of widespread
applicability in various industrial sectors such as aerospace, infrastructure and automotive …
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 …
outputs. This has been motivated partly by frameworks like multitask learning, multisensor …
High-dimensional Bayesian optimization using low-dimensional feature spaces
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 …
expensive black-box functions and has proven successful for fine tuning hyper-parameters …