Pixel Club Seminar: Multi-Manifold Data Modeling: Foundations and Applications

Speaker:
Gilad Lerman (School of Mathematics, University of Minnesota)
Date:
Wednesday, 29.12.2010, 11:30
Place:
Room 337-8 Taub Bld.

We present several methods for multi-manifold data modeling, i.e., modeling data by mixtures of possibly intersecting manifolds. We focus on algorithms for the special case where the underlying manifolds are affine or linear subspaces. We emphasize various theoretical results supporting the performance of some of these algorithms, in particular their robustness to noise and outliers. We demonstrate how such theoretical insights guide us in practical choices and present applications of such algorithms.

This is part of joint works with E. Arias-Castro, S. Atev, G. Chen, A. Szlam, Y. Wang, T. Whitehouse and T. Zhang

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