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Jiuzhang Forum: Lecture 36

Hosted by Professor Yumei Huang of the School of Mathematics and Statistics, Professor Dr. Lixin Shen from Syracuse University in USA will visit our University and givean academic lecture from December 20-21, 2018. All teachers and students are cordially welcome to attend.

Title:   Structured Sparsity Promoting Functions and Proximity Algorithms

Time:   Thursday, December 20, 2018, 4:00 pm.

Location:Lecture Room 911, Qiyun Building


Synopsis:

This talk is divided into two parts. In the first part, we introduce a simple scheme to construct structured semiconvex sparsity promoting functions from convex sparsity promoting functions and their Moreau envelopes. Properties of these functions are discussed by leveraging their structures. In particular, we provide sparsity guarantees for the general family of functions. We further study the behavior of the proximity operators of several special functions including indicator functions of closed convex sets, piece-wise quadratic functions, and the linear combinations of them. In the second part, we first give an overview of proximity operators and their essential properties. We then present our work on proximity algorithms for a class of optimization problems arising from image processing.


GansuKey Laboratory of Applied Mathematics and Complex Systems

Schoolof Mathematicsand Statistics

CuiyingHonors College

December 19, 2018


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