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政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 > Item 140.119/160166

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Title:	Consistency of the Bayes method for the inverse scattering problem with randomly truncated sieve priors
Authors:	邱普照 Kow, Pu-Zhao;Furuya, Takashi;Wang, Jenn-Nan
Contributors:	應數系
Date:	2025-09
Issue Date:	2025-11-13 10:59:14 (UTC+8)
Abstract:	In this work, we consider the inverse scattering problem of determining an unknown refractive index from the far-field measurements using the nonparametric Bayesian approach. This paper is a continuation of our previous work [5] in which we consider Gaussian priors and Gaussian sieve priors. In this work, we will extend the result to randomly truncated Gaussian sieve priors. Our aim is to establish the consistency of the posterior distribution with an explicit contraction rate in terms of the sample size. Numerical simulations are also provided to justify the theoretical result.
Relation:	Inverse Problems and Imaging, pp.1-23
Data Type:	article
DOI 連結:	https://doi.org/10.3934/ipi.2025040
DOI:	10.3934/ipi.2025040
Appears in Collections:	[應用數學系] 期刊論文

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