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020 ▼a 9780355773361
035 ▼a (MiAaPQ)AAI10618260
035 ▼a (MiAaPQ)nyu:13064
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 247004
0820 ▼a 519
1001 ▼a Daon, Yair.
24510 ▼a PDE-Based Prior Distributions and D-Optimal Design in Infinite-Dimensional Bayesian Inverse Problems.
260 ▼a [S.l.]: ▼b New York University., ▼c 2017.
260 1 ▼a Ann Arbor: ▼b ProQuest Dissertations & Theses, ▼c 2017.
300 ▼a 113 p.
500 ▼a Source: Dissertation Abstracts International, Volume: 79-08(E), Section: B.
500 ▼a Adviser: Georg Stadler.
5021 ▼a Thesis (Ph.D.)--New York University, 2017.
520 ▼a This dissertation describes an investigation into aspects of infinite-dimensional Bayesian inverse problems. In particular, I present methods for generating statistically sound PDE-based Gaussian priors, numerical experiments with these priors o
520 ▼a In the first part, the task of generating statistically sound priors for infinite-dimensional Bayesian inverse problems is considered. The problem with using PDE-based Gaussian priors is identified as a boundary effect related to the boundary co
520 ▼a In the second part, the problem of Bayesian design of experiments in infinite dimensions is studied, with the goal of understanding the phenomenon of sensor-clusterization. First, the occurrence of such phenomenon is demonstrated numerically. Th
590 ▼a School code: 0146.
650 4 ▼a Applied mathematics.
690 ▼a 0364
71020 ▼a New York University. ▼b Mathematics.
7730 ▼t Dissertation Abstracts International ▼g 79-08B(E).
773 ▼t Dissertation Abstract International
790 ▼a 0146
791 ▼a Ph.D.
792 ▼a 2017
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T14996637 ▼n KERIS ▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다.
980 ▼a 201812 ▼f 2019
990 ▼a ***1012033