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。    

时  间：2022.12.23(星期五), 10:40-13:00    

地  点：腾讯会议671-4985-6447    

报告会视频