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On Fractional Moment Estimation from Polynomial Chaos Expansion
March 5, 2024, 2:44 p.m. | Luk\'a\v{s} Nov\'ak, Marcos Valdebenito, Matthias Faes
cs.LG updates on arXiv.org arxiv.org
Abstract: Fractional statistical moments are utilized for various tasks of uncertainty quantification, including the estimation of probability distributions. However, an estimation of fractional statistical moments of costly mathematical models by statistical sampling is challenging since it is typically not possible to create a large experimental design due to limitations in computing capacity. This paper presents a novel approach for the analytical estimation of fractional moments, directly from polynomial chaos expansions. Specifically, the first four statistical moments …
abstract arxiv chaos cs.lg design expansion experimental moments polynomial probability quantification sampling statistical stat.me tasks type uncertainty
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