Applied Math And Analysis Seminar
Monday, September 28, 2009, 4:30pm, 119 Physics
Guangliang Chen
Spectral Curvature Clustering for Hybrid Linear Modeling

Abstract:

Many common data sets can be modeled by a mixture of manifolds, e.g., facial images of several human subjects under different angles and illumination conditions. However, effective modeling of such data along with careful theoretical analysis is a challenging mathematical problem. In this talk I will introduce the Spectral Curvature Clustering (SCC) algorithm for solving the problem of hybrid linear modeling, i.e., modeling data using linear manifolds, and discuss possible extensions to general multi-manifold data modeling. Our analysis shows that, given data sampled sufficiently around a collection of well separated affine subspaces, the SCC will succeed with high probability. Numerical techniques as well as an application to motion segmentation are also presented. [video]

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