Sökning: id:"swepub:oai:gup.ub.gu.se/261884" >
Diffeomorphic rando...
Diffeomorphic random sampling using optimal information transport
-
- Bauer, Martin (författare)
- Florida State University
-
- Joshi, Sarang (författare)
- University of Utah
-
- Modin, Klas, 1979 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg
-
(creator_code:org_t)
- ISBN 9783319684444
- 2017-10-24
- 2017
- Engelska.
-
Ingår i: International Conference on Geometric Science of Information. GSI 2017: Geometric Science of Information. Lecture Notes in Computer Science.. - Cham : Springer. - 0302-9743 .- 1611-3349. - 9783319684444
- Relaterad länk:
-
http://arxiv.org/pdf...
-
visa fler...
-
https://gup.ub.gu.se...
-
https://doi.org/10.1...
-
https://research.cha...
-
visa färre...
Abstract
Ämnesord
Stäng
- © 2017, Springer International Publishing AG. In this article we explore an algorithm for diffeomorphic random sampling of nonuniform probability distributions on Riemannian manifolds. The algorithm is based on optimal information transport (OIT)—an analogue of optimal mass transport (OMT). Our framework uses the deep geometric connections between the Fisher-Rao metric on the space of probability densities and the right-invariant information metric on the group of diffeomorphisms. The resulting sampling algorithm is a promising alternative to OMT, in particular as our formulation is semi-explicit, free of the nonlinear Monge–Ampere equation. Compared to Markov Chain Monte Carlo methods, we expect our algorithm to stand up well when a large number of samples from a low dimensional nonuniform distribution is needed.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
Nyckelord
- Density matching
- Diffeomorphism groups
- Fisher–Rao metric
- Image registration
- Information geometry
- Optimal transport
- Random sampling
- Fisher–Rao metric
Publikations- och innehållstyp
- ref (ämneskategori)
- kon (ämneskategori)
Hitta via bibliotek
Till lärosätets databas