کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4967525 1449378 2017 41 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Polynomial chaos representation of databases on manifolds
ترجمه فارسی عنوان
نمایش هرج و مرج چندجمله ای از پایگاه داده ها در چندجملهای
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
چکیده انگلیسی
Characterizing the polynomial chaos expansion (PCE) of a vector-valued random variable with probability distribution concentrated on a manifold is a relevant problem in data-driven settings. The probability distribution of such random vectors is multimodal in general, leading to potentially very slow convergence of the PCE. In this paper, we build on a recent development for estimating and sampling from probabilities concentrated on a diffusion manifold. The proposed methodology constructs a PCE of the random vector together with an associated generator that samples from the target probability distribution which is estimated from data concentrated in the neighborhood of the manifold. The method is robust and remains efficient for high dimension and large datasets. The resulting polynomial chaos construction on manifolds permits the adaptation of many uncertainty quantification and statistical tools to emerging questions motivated by data-driven queries.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 335, 15 April 2017, Pages 201-221
نویسندگان
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