Estimation of Subspace Arrangements: Its Algebra and Statistics
Yang, Allen
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Permalink
https://hdl.handle.net/2142/80988
Description
Title
Estimation of Subspace Arrangements: Its Algebra and Statistics
Author(s)
Yang, Allen
Issue Date
2006
Doctoral Committee Chair(s)
Ma, Yi
Department of Study
Electrical and Computer Engineering
Discipline
Electrical and Computer Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Electronics and Electrical
Language
eng
Abstract
Algebraically, we study the properties of polynomials vanishing on a union of subspaces; and statistically, we study how to estimate these polynomials robustly from real sample sets with noise and outliers. These new methods in many ways improve and generalize extant methods for modeling or clustering mixed data. Finally, we will show results of these methods applied to computer vision and image processing.
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