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A Survey on Robust Low-Rank Matrix Estimation
PhD Qualifying Examination Title: "A Survey on Robust Low-Rank Matrix Estimation" by Mr. Naiyan WANG Abstract: Robust low-rank matrix estimation has emerged as a hot research topic in recent years. This important problem underlies many methods that have been found highly effective in revealing the low-dimensional subspace structures of complicated high-dimensional data, especially when the data matrix is corrupted by outliers or missing entries. With advances in both the theory and specific optimization techniques, a wide range of novel applications have been proposed by the computer vision and machine learning communities. In this paper, we survey the major approaches to robust low-rank matrix estimation. We first start with different formulations of the problem. Then we categorize them into optimization-based and Bayesian methods and discuss their relationships and differences. After that, we briefly discuss some representative applications which take effective use of robust low-rank matrix estimation. Finally, we conclude with recent development of this topic and discuss several possible future research directions. Date: Friday, 19 April 2013 Time: 2:00pm - 4:00pm Venue: Room 3401 Lifts 17/18 Committee Members: Prof. Dit-Yan Yeung (Supervisor) Prof. James Kwok (Chairperson) Dr. Albert Chung Prof. Nevin Zhang **** ALL are Welcome ****