Events
DMS Applied Mathematics Seminar |
| Time: Oct 20, 2017 (02:00 PM) |
| Location: Parker Hall 328 |
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Details: We are fortunate to have Professor Ming-Jun Lai <http://alpha.math.uga.edu/%7Emjlai/> from the University of Georgia to speak on the topic of matrix completion <https://en.wikipedia.org/wiki/Matrix_completion>. Title: On Recent Development of Matrix Completion. Abstract: I shall first introduce the research on matrix completion based on Netflix problem. Then I will survey some classic methods based on various approaches. In particular, I will explain some recent approaches based on alternating minimization methods including least squares, steepest descent, and Riemann gradient descent techniques. Finally, I shall explain our method of Alternating Projection Algorithm and present a convergence analysis under some conditions. Linear convergence will be shown under a sufficient condition. I will end my talk with numerical experimental results to demonstrate our method is excellent in completing a matrix of low rank. |