COSAM » Events » 2017 » October » DMS Applied Mathematics Seminar

DMS Applied Mathematics Seminar
Time: Oct 20, 2017 (02:00 PM)
Location: Parker Hall 328

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.




Last updated: 10/16/2017