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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： On the dimension of limit sets on the real projective plane via stationary measures
实射影平面 极限集 维数 平稳测度
2023/11/29
I will present a dimension jump result of limit sets on RP^2 for representations of surface groups in SL(3,R). For Anosov representations, we prove the equality between the Hausdorff dimension and the...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the dimension of limit sets on the real projective plane via stationary measures
实射 影平面 极限集 维数 平稳测度
2023/11/15
I will present a dimension jump result of limit sets on RP^2 for representations of surface groups in SL(3,R). For Anosov representations, we prove the equality between the Hausdorff dimension and the...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On deformation limit in deformation theory
变形理论 变形极限 射影流形
2023/11/15
This talk mainly concerns the projective, Moishezon and Kahler loci of a family. We first introduce four conjectures on this topic and then the works of the deformation limit of projective manifolds a...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Primal Dual Alternating Proximal Gradient Algorithms for Nonsmooth Nonconvex Minimax Problems with Coupled Linear Constraints
耦合 线性约束 非光滑 非凸极小问题 基本对偶交替 近端梯度算法
2023/4/14
Nonconvex minimax problems have attracted wide attention in machine learning, signal processing and many other fields in recent years. In this paper, we propose a primal dual alternating proximal grad...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：超大规模连接信息理论极限分析
超大规模 连接信息 理论极限 分析
2023/4/17
超大规模连接被认为是6G的五大典型场景之一，具有小包传输和用户随机接入的特点。本研究针对该场景进行了有限块长信息理论极限分析，推导了在多天线准静态瑞利衰落信道中，用户随机接入系统时能量效率的非渐近理论界，量化了活跃用户数是否已知、信道状态信息是否已知以及是否共享同一码本对系统性能的影响。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：New extreme value theory for maxima of maxima
极大值 最大值 新极值理论
2023/4/18
Although advanced statistical models have been proposed to fit complex data better, the advances of science and technology have generated more complex data, e.g., Big Data, in which existing probabili...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Model-Guided Data Driven Extremum Seeking Control
模型引导 数据驱动 极值 控制
2023/5/5
Extremum seeking control(ESC)is a class of data-driven optimization algorithms which can drive the output of an unknown dynamic system to its optimal value with respect to some cost function by using ...
O(N)线性sigma模型的大N极限：随机量子化
O(N)线性 sigma模型 大N极限 随机量子化
2023/1/5
This article studies large $N$ limits of a coupled system of $N$ interacting $\Phi^4$ equations posed over $\mathbb{T}^{d}$ for $d=2$, known as the $O(N)$ linear sigma model. Uniform in $N$ bounds on ...
任意相依结构下的极小化p值合并
相依结构 极小化 p值合并
2023/1/5
Methods of merging several p-values into a single p-value are important in their own right and widely used in multiple hypothesis testing. This paper is the first to systematically study the admissibi...
In this paper, we justify the semiclassical limit of the Gross--Pitaevskii equation with Dirichlet boundary condition on the three-dimensional upper space under the assumption that the leading-order t...