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中科院数学与系统科学研究院

 

科研进展与学术交流报告会

(第18期)

 

报告人一: 刘歆 研究员计算数学与科学工程计算研究所)

题 目 一:Optimization models and approaches for strictly correlated electrons

摘 要 一:In electronic structure calculations, Kohn-Sham equations rank among the most widely adopted mathematical models. However, due to the deficiency of available approximations for exchange-correlation energy, Kohn-Sham equations cannot well describe strictly correlated electrons at present. To this end, some models based on the strong-interaction limit of density functional theory have been developed in recent decades. The associated energy minimizations can be formulated as multi-marginal optimal transport problems with Coulomb cost (MMOT). Since the curse of dimensionality resides in MMOT, its low-dimensional reformulations are indispensable. In this talk, we consider the reformulation based on a Monge-like ansatz. We discuss the difficulties in the corresponding optimization problems, and also propose a global optimization approach for numerical resolution.

报告人二: 齐洪胜 副研究员系统科学研究所)

题 目 二:逻辑动态系统研究进展

摘 要 二逻辑是人类认知和交流的基本手段,因此逻辑动态系统的分析与控制是认识和改造世界的根本工具之一。此前针对逻辑系统的分析与综合缺乏合适的数学工具,本报告首先介绍基于矩阵半张量积的代数状态空间方法,并对逻辑动态系统分析与控制理论作简要回顾,进一步汇报我们在逻辑动态系统方面近期的研究进展。

  间:2022.12.23(星期五), 10:40-13:00

  点:腾讯会议671-4985-6447

报告会视频

[video:2022.12.23数学院学术交流报告(修改后)]
 
注:本视频未经允许不得转载,违者将依法追究侵权法律责任。

 

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