Bridge Simulation and Metric Estimation on Lie Groups and Orbit Spaces

Duration: 48 mins 35 secs
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Description: Joshi, S
Tuesday 14th November 2017 - 09:00 to 09:45
 
Created: 2017-11-15 13:56
Collection: Growth form and self-organisation
Publisher: Isaac Newton Institute
Copyright: Joshi, S
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
Abstract: Joint work with Stefan Sommer Alexis Arnaudon and Line Kuhnel. Performing statistical inference of non-linear Manifold valued data has wide ranging applications in wide ranging fields including bioinformatics, shape analysis, medical imaging, computational anatomy, computer vision, and information geometry. Most common existing statistical inference techniques assume that the Manifold is a Riemannian Manifold with a pre defined canonical metric. In this talk I will present some of our recent work in estimating the Metric structure of the manifold.
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