信息与计算科学系
信息与计算科学系
首页  >  学术科研  >  信息与计算科学系  >  正文

    西南交通大学数学学院系列学术讲座

    2021-11-29  点击:[]

    人:宋恩彬


    讲座时间:202112314:30-15:30


    讲座地点:腾讯会议(会议号: 945 760 641 密码: 1203


    讲座题目:Convergent Algorithms for Joint Dimension Assignment and Compression of Estimation in Distributed Multisensor Networks and Robust Hypothesis Testings


    讲座内容:This talk mainly includes two parts. In the first part, we consider linear distributed estimation of an unknown random parameter distributed estimation of an unknown random parameter vector in a bandwidth-constrained multisensor network. Then we jointly determine the compression dimension of each sensor (referred to as dimension assignment) and design the corresponding compression matrix when the total compression dimensions is limited. Successive quadratic upper-bound minimization (SQUM), SQUM block coordinate descent (SQUM-BCD) and nuclear norm regularization (NNR) methods are developed to solve it approximately. Furthermore, we show that any accumulation point of the sequence generated by the SQUM method satisfies the Karush-Kuhn-Tucker conditions of the rank-constrained optimization problem. In the second part, we consider the popular minimax robust hypothesis testing problem. Then, we propose the gradient projection algorithm (GPA) and the hybrid gradient projection algorithm (HGPA) to solve the transformed problem. When the distance is chosen to be the Kullback-Leibler (KL) or α-divergence, the decision rule sequences generated by the GPA and the HGPA are respectively proved to converge weakly and strongly to the global minimizer under some mild conditions. To the best of our knowledge, these decision rules are the first to be guaranteed to globally converge towards the optimal solution.


    主讲人简介:宋恩彬,四川大学教授,博士生导师,2007年于四川大学获得理学博士学位。 20077月~200911月在四川大学计算机学院从事博士后研究;200912月至20146月在四川大学数学学院任副教授。20104月~20115月,在美国明尼苏达大学电子与计算机工程学院从事博士后研究;20141月~20142月,在香港中文大学访问。20147月至今在四川大学数学学院任教授。曾获得2009年全国百篇优秀博士论文提名奖和2010年四川省科学技术进步奖一等奖。近几年,主要从事信息融合,传感器网络,信号处理,数学及优化理论在信息处理中的应用等方面的基础研究。近年来主持和参与多项包括国家自然科学基金和科技部重大专项等纵向和横向课题,发表所研究领域论文60余篇。


    主办:西南交通大学数学学院信息与计算科学系


    上一条:讲座题目:Finite Codimensionality Method in Infinite-dimensional Optimization Problems
    下一条:西南交通大学数学学院系列学术讲座:Low-Rank and Sparse Enhanced Tucker Decomposition for Tensor Completion

    关闭