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                                                                  大发时时彩
                                                                  大发时时彩概况

                                                                  “大发时时彩”第100期:Geometry in Solving Systems of Quadratic Equations

                                                                  发布人:毕洁发表时间:2019-06-14点击:

                                                                  大发时时彩第100期

                                                                  报告题目

                                                                  Geometry in Solving Systems of Quadratic Equations

                                                                  报告时间

                                                                  2019.6.18 16:30-18:00

                                                                  报告地点

                                                                  东区综合楼A座701会议室

                                                                  报告人

                                                                  蔡剑锋(香港科技大学数学系)

                                                                  报告人

                                                                  简介

                                                                  2015年香港科技大学数学系副教授 -

                                                                  爱荷华大学数学系助理教授 ,2011年至2015年 。

                                                                  CAM助理兼职教授,加州大学洛杉矶分校数学系 ,2009年至2011年 。

                                                                  博士香港中文大学数学系,2004-2007 。

                                                                  硕士复旦大学计算数学,2001-2004。

                                                                  学士复旦大学计算数学,1996-2000。

                                                                  报告摘要

                                                                  Systems of quadratic equations arise from many fundamental problems in data science and imaging. As an example, we consider the problem of solving systems of phaseless equations |<a_i,x>|^2=y_i, i=1,…,m and x in R^n is unknown. One application of great importance is the phase retrieval problem, which provides promising and indispensable tools in a wide spectrum of techniques including X-ray crystallography, diffraction imaging, microscopy, and even quantum mechanics. We will present two results related to geometry in solving systems of phaseless equations. One is to use Riemannian optimization and the other is to analyze the geometric landscape of a non-convex optimization for solving phaseless equations. Both results need number of equations is only proportional to the number of unknowns, under a Gaussian random model. Similar geometric results for other systems of quadratic equations were provided by us or other authors under various settings.

                                                                  邀请人

                                                                  向东进 教授

                                                                  2019年6月12日