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Sequential Design with Mutual Information for Computer Experiments (MICE): Emulation of a Tsunami Model

Beck, J; Guillas, S; (2016) Sequential Design with Mutual Information for Computer Experiments (MICE): Emulation of a Tsunami Model. SIAM/ASA Journal on Uncertainty Quantification , 4 (1) pp. 739-766. 10.1137/140989613. Green open access

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Abstract

Computer simulators can be computationally intensive to run over a large number of input values, as required for optimization and various uncertainty quantification tasks. The standard paradigm for the design and analysis of computer experiments is to employ Gaussian random fields to model computer simulators. Gaussian process models are trained on input-output data obtained from simulation runs at various input values. Following this approach, we propose a sequential design algorithm MICE (mutual information for computer experiments) that adaptively selects the input values at which to run the computer simulator in order to maximize the expected information gain (mutual information) over the input space. The superior computational efficiency of the MICE algorithm compared to other algorithms is demonstrated by test functions and by a tsunami simulator with overall gains of up to 20% in that case.

Type: Article
Title: Sequential Design with Mutual Information for Computer Experiments (MICE): Emulation of a Tsunami Model
Open access status: An open access version is available from UCL Discovery
DOI: 10.1137/140989613
Publisher version: http://dx.doi.org/10.1137/140989613
Language: English
Additional information: © 2016, Society for Industrial and Applied Mathematics. Published by SIAM and ASA under the terms of the Creative Commons 4.0 license
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Statistical Science
URI: https://discovery.ucl.ac.uk/id/eprint/1502164
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