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Mathematical Sciences Colloquium by Jingyong Su
Friday, Nov 10
11 a.m. - 11:50 a.m. Location: FN 2.102

Jingyong  Su

Department of Mathematics & Statistics
Texas Tech University

Rate-Invariant Analysis of Trajectories on Manifolds

In this research we proposed a comprehensive framework for registration and analysis of manifold-valued processes. Functional data analysis in Euclidean spaces has been explored extensively in literature. But we study a different problem in the sense that functions to be studied take values on nonlinear manifolds, rather than in vector spaces. Manifold-valued data appear frequently in shape and image analysis, computer vision, biomechanics and many others. The non-linearity of the manifolds requires development of new methodologies suitable for analysis of manifold-valued data. We propose a comprehensive framework for joint registration and analysis of multiple manifold-valued processes. The goals are to take temporal variability into account, derive a rate-invariant metric and generate statistical summaries (sample mean, covariance etc.), which can be further used for registering and modeling multiple trajectories.

 

Coffee to be served in FN 2.102 at 10:30 AM.

 

Sponsored by the Department of Mathematical Sciences

Contact Info:
Viswanath Ramakrishna, 972-883-6873
Questions? Email me.

Tagged as Lectures/Seminars, Prospective Students, Professional Dev.
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