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Multi-fidelity Gaussian process surrogate modeling for regression problems in physics
April 19, 2024, 4:42 a.m. | Kislaya Ravi, Vladyslav Fediukov, Felix Dietrich, Tobias Neckel, Fabian Buse, Michael Bergmann, Hans-Joachim Bungartz
cs.LG updates on arXiv.org arxiv.org
Abstract: One of the main challenges in surrogate modeling is the limited availability of data due to resource constraints associated with computationally expensive simulations. Multi-fidelity methods provide a solution by chaining models in a hierarchy with increasing fidelity, associated with lower error, but increasing cost. In this paper, we compare different multi-fidelity methods employed in constructing Gaussian process surrogates for regression. Non-linear autoregressive methods in the existing literature are primarily confined to two-fidelity models, and we …
abstract arxiv availability challenges constraints cost cs.lg data error fidelity modeling physics physics.data-an process regression simulations solution stat.ml type
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