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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...
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...
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...
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...
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...
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。
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...
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。
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...
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...
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 ...
In this lecture, I will talk about how to control the deviation of the occupation-time profile conditioned on disconnection so that this conditioning makes the model exhibit a phenomenon generally kno...
非线性期望理论(彭实戈院士原创性成果)是结合概率测度不确定性、BSDE的巧妙构造方法,将概率空间与非线性期望空间结合,从而跳出Kolmogorov的框架,得到的一系列全新理论成果。特别地,最近山东大学非线性概率团队基于多臂老虎机发展了一系列策略极限理论,作为非线性期望理论的重要研究成果。本报告考虑这一原创理论成果的统计科学问题以及提出新的统计机器学习方法,其中包括(1)双臂老虎机下的最优分布和悖论...
In this talk we discuss a notion of $\psi$-Dirichlet in Diophantine approximation which concerns improving Dirichlet’s approximation theorem to a general approximating function $\psi$. This notion was...
In this lecture, I will discuss how tilting and coarse graining, two key ideas in modern probability, come into play in deriving respectively the lower and upper bounds of the asymptotic probability i...

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