學術產出-期刊論文

文章檢視/開啟

書目匯出

Google ScholarTM

政大圖書館

引文資訊

TAIR相關學術產出

題名 Consistency of the Bayes method for the inverse scattering problem with randomly truncated sieve priors
作者 邱普照
Kow, Pu-Zhao;Furuya, Takashi;Wang, Jenn-Nan
貢獻者 應數系
日期 2026-04
上傳時間 13-十一月-2025 10:59:14 (UTC+8)
摘要 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.
關聯 Inverse Problems and Imaging, Vol.21, pp.222-244
資料類型 article
DOI https://doi.org/10.3934/ipi.2025040
dc.contributor 應數系-
dc.creator (作者) 邱普照-
dc.creator (作者) Kow, Pu-Zhao;Furuya, Takashi;Wang, Jenn-Nan-
dc.date (日期) 2026-04-
dc.date.accessioned 13-十一月-2025 10:59:14 (UTC+8)-
dc.date.available 13-十一月-2025 10:59:14 (UTC+8)-
dc.date.issued (上傳時間) 13-十一月-2025 10:59:14 (UTC+8)-
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/160166-
dc.description.abstract (摘要) 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.-
dc.format.extent 99 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Inverse Problems and Imaging, Vol.21, pp.222-244-
dc.title (題名) Consistency of the Bayes method for the inverse scattering problem with randomly truncated sieve priors-
dc.type (資料類型) article-
dc.identifier.doi (DOI) 10.3934/ipi.2025040-
dc.doi.uri (DOI) https://doi.org/10.3934/ipi.2025040-