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020 ▼a 9780438304321
035 ▼a (MiAaPQ)AAI10828009
035 ▼a (MiAaPQ)uci:15212
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 248032
0820 ▼a 310
1001 ▼a Holbrook, Andrew J.
24510 ▼a Geometric Bayes.
260 ▼a [S.l.] : ▼b University of California, Irvine., ▼c 2018
260 1 ▼a Ann Arbor : ▼b ProQuest Dissertations & Theses, ▼c 2018
300 ▼a 207 p.
500 ▼a Source: Dissertation Abstracts International, Volume: 80-01(E), Section: B.
500 ▼a Adviser: Babak Shahbaba.
5021 ▼a Thesis (Ph.D.)--University of California, Irvine, 2018.
520 ▼a This dissertation is an investigation into the intersections between differential geometry and Bayesian analysis. The former is the mathematical discipline that underlies our understanding of the spatial structure of the universe
520 ▼a A major component of this work is the development and application of probabilistic models defined over smooth manifolds: dependencies between time series are modeled using the manifold of Hermitian positive definite matrices
520 ▼a This dissertation is ordered as follows. In Chapter 1, the general setting is introduced along with the rudiments of Riemannian geometry. In Chapter 2, the geodesic Lagrangian Monte Carlo algorithm is presented and used for Bayesian inference ov
590 ▼a School code: 0030.
650 4 ▼a Statistics.
650 4 ▼a Applied mathematics.
650 4 ▼a Computer science.
690 ▼a 0463
690 ▼a 0364
690 ▼a 0984
71020 ▼a University of California, Irvine. ▼b Statistics - Ph.D..
7730 ▼t Dissertation Abstracts International ▼g 80-01B(E).
773 ▼t Dissertation Abstract International
790 ▼a 0030
791 ▼a Ph.D.
792 ▼a 2018
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T14999100 ▼n KERIS
980 ▼a 201812 ▼f 2019
990 ▼a 관리자