11 a.m. - 11:50 a.m. Location: FN 2.102
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