政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/159634

English | 正體中文 | 简体中文 | Post-Print筆數 : 27 | Items with full text/Total items : 119181/150261 (79%)
Visitors : 86706053 Online Users : 319

RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.

Home ‧ Login ‧ Upload ‧ Help ‧ About ‧ Administer

政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 > Item 140.119/159634

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/159634

Title:	Consistency of Bayesian Inference for a Subdiffusion Equation
Authors:	邱普照 Kow, Pu-Zhao;Wang, Jenn-Nan
Contributors:	應數系
Keywords:	inverse problem;Bayesian inference;Gaussian priors;contraction rate;Riemann–Liouville derivative;Caputo derivative
Date:	2025-08
Issue Date:	2025-09-24 09:39:06 (UTC+8)
Abstract:	In this work, we consider the inverse problem of determining an unknown potential in a subdiffusion equation from its solution using a nonparametric Bayesian approach. Our aim is to establish the consistency of the posterior distribution with Gaussian priors. To do so, we need some key estimates of the forward problem. For the forward problem, we have to overcome the fact that the solution of the subdiffusion equation is less regular than that of the classical heat equation. The main ingredient is the maximum principle for the subdiffusion equation. We show that the posterior contracts to the ground truth at a polynomial rate.
Relation:	SIAM/ASA Journal on Uncertainty Quantification, Vol.13, No.3, pp.1116-1144
Data Type:	article
DOI 連結:	https://doi.org/10.1137/24M1707419
DOI:	10.1137/24M1707419
Appears in Collections:	[應用數學系] 期刊論文

Files in This Item:

File	Description	Size	Format
index.html		0Kb	HTML	82	View/Open

社群 sharing

著作權政策宣告 Copyright Announcement

1.本網站之數位內容為國立政治大學所收錄之機構典藏，無償提供學術研究與公眾教育等公益性使用，惟仍請適度，合理使用本網站之內容，以尊重著作權人之權益。商業上之利用，則請先取得著作權人之授權。
The digital content of this website is part of National Chengchi University Institutional Repository. It provides free access to academic research and public education for non-commercial use. Please utilize it in a proper and reasonable manner and respect the rights of copyright owners. For commercial use, please obtain authorization from the copyright owner in advance.

2.本網站之製作，已盡力防止侵害著作權人之權益，如仍發現本網站之數位內容有侵害著作權人權益情事者，請權利人通知本網站維護人員(nccur@nccu.edu.tw)，維護人員將立即採取移除該數位著作等補救措施。
NCCU Institutional Repository is made to protect the interests of copyright owners. If you believe that any material on the website infringes copyright, please contact our staff(nccur@nccu.edu.tw). We will remove the work from the repository and investigate your claim.

Loading...