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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 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：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...
Most existing works on optimal filtering of linear time-invariant (LTI) stochastic systems with arbitrary unknown inputs assume perfect knowledge of the covariances of the noises in the filter design....
In this paper, we are concerned with the optimal control problems for a class of systems with fast-slow processes. The problem under consideration is to minimize a functional subject to a system descr...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Kolmogorov-Smirnov type testing for structural breaks: A new adjusted-range based self-normalization approach
结构断裂 Kolmogorov-Smirnov检验 KS检验 调整范围 自归一化方法
2023/4/23
A popular self-normalization (SN) approach in time series analysis uses the variance of a partial sum as a self-normalizer. This is known to be sensitive to irregularities such as persistent autocorre...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Ergodicity of non-stationary stochastic processes
非平稳 随机过程 遍历性
2023/4/13
I will discuss the ergodicity of two kinds of non-stationary processes: random periodic processes and random quasi-periodic processes. I will describe periodic measures, quasi-periodic measures and th...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：马氏过程的集中不等式
马氏过程 集中不等式 真实均值 随机算法
2023/4/14
这个报告的主题是马氏过程观察量的经验均值趋于真实均值的集中不等式，或者说随机算法的错误概率的绝对估计。我将介绍与集中不等式等价的“运费vs Fisher信息量”不等式，以及怎样使用Poincare或log-Sobolev不等式，与最优传输，熵这些工具去证明“运费vs Fisher信息量”不等式。作为应用例子，我将介绍高维分布Gibbs算法的错误概率绝对估计。
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...
乘法噪声驱动的保守律方程的遍历性（董昭）
乘法噪声驱动 保守律方程 遍历性
2023/4/10
We proved that there exists a unique invariant measure for solutions of stochastic conservation laws with Dirichlet boundary condition driven by multiplicative noise. Moreover, a polynomial mixing pro...
We develop a new stochastic analysis approach to the lattice Yang-Millsmodel at strong coupling in any dimension d > 1, with t' Hooft scaling beta N for theinverse coupling strength. We study their La...
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：Creative role expectations and employee creativity
创造性 角色期望 员工创造力
2023/4/21
In this paper, we study the relationships between creative role expectations and employee incremental and radical creativity. They are mediated by creative self-expectations and moderated by perceived...
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 ...