应兰州大学数学与统计学院邀请, 香港科技大学数学系蔡剑锋教授将于2021年5月24日在城关校区西区学生活动中心506会议室举办专题学术报告.

报告题目：Landscape analysis of non-convex optimizations in phase retrieval

时 间：2021年5月24日(星期一) 10:30-11:10

线下地点: 兰州大学城关校区西区学生活动中心五楼506会议室

腾讯会议ID：815 669 991，会议密码：123456

报告摘要：

Non-convex optimization is a ubiquitous tool in scientific and engineering research. For many important problems, simple non-convex optimization algorithms often provide good solutions efficiently and effectively, despite possible local minima. One way to explain the success of these algorithms is through the global landscape? analysis. In this talk, we present some results along with this direction for phase retrieval. The main results are, for several of non-convex optimizations in phase retrieval, a local minimum is also global and all other critical points have a negative directional curvature. The results not only explain why simple non-convex algorithms usually find a global minimizer for phase retrieval, but also are useful for developing new efficient algorithms with a theoretical guarantee by applying algorithms that are guaranteed to find a local minimum.

蔡剑锋教授简介

蔡剑锋教授, 少求学于湖湘, 拜师于复旦大学魏益民教授, 攻博于香港中文大学（导师陈汉夫教授）, 后游学于新加坡国立大学, 美国依阿华大学, 复供职于香港科技大学. 是为当今计算数学界之青年代表人物.蔡剑锋教授发表学术著作90多篇，文章引用次数达1万多次。

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