Multi-output local Gaussian process regression: applications to uncertainty quantification
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Publication:385889
DOI10.1016/j.jcp.2012.04.047zbMath1277.60066OpenAlexW2060682310MaRDI QIDQ385889
Ilias Bilionis, Nicholas Zabaras
Publication date: 12 December 2013
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2012.04.047
Gaussian processstochastic partial differential equationsadaptivitymulti-outputBayesianuncertainty quantificationmulti-element
Gaussian processes (60G15) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35)
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Cites Work
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- Small sample sensitivity analysis techniques for computer models.with an application to risk assessment
- Cases for the nugget in modeling computer experiments
- The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications
- An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations
- Bayesian emulation of complex multi-output and dynamic computer models
- The design and analysis of computer experiments.
- Design and analysis of computer experiments. With comments and a rejoinder by the authors
- Bayesian experimental design: A review
- Bayesian learning for neural networks
- An adaptive multi-element generalized polynomial chaos method for stochastic differential equations
- Bayesian Treed Gaussian Process Models With an Application to Computer Modeling
- Multilevel Monte Carlo Path Simulation
- Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures
- Computer Model Calibration Using High-Dimensional Output
- A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
- Analysing Data from Hormone-Receptor Assays
- The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
- Dynamic Trees for Learning and Design
- High-Order Collocation Methods for Differential Equations with Random Inputs
- A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
- Bayesian treed models