爱情岛论坛 学术报告[2025] 057号

(高水平大学建设系列报告1079号)

报告题目: Revisiting the Proximity Operator of the $\ell_1$ over $\ell_2$ Function

报告人：Lixin Shen professor（Syracuse University）

报告时间：2025年6月25日 16：30-17：30

讲座地点：汇星楼514

报告内容： In this talk, we characterize the proximity operator of the $\ell_1/\ell_2$ function. By reformulating the underlying optimization problem over a smooth manifold, we establish that its solution corresponds to a local non-global minimizer of a quadratic function constrained to the unit sphere. We further develop dedicated algorithms to compute this proximity operator exactly. (Joint work with Guohui Song)

报告人简介：Lixin Shen is a professor of mathematics at Syracuse University, specializing in applied mathematics. His research focuses on optimization, variational methods, signal and image processing, and sparsity-driven modeling. He has made significant contributions to the mathematical foundations of inverse problems and regularization techniques, and actively collaborates with researchers in areas such as medical imaging and machine learning.

Professor Shen received his B.S. and M.S. degrees in mathematics from Peking University, and earned his Ph.D. in Mathematics from Sun Yat-sen University in 1996. At Syracuse, he teaches undergraduate and graduate courses and mentors students in both theoretical and applied research.

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                                        2025年6月25日