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20

2023-09

Spectral Clustering: Methodology and Statistical Analysis

报告题目：Spectral Clustering: Methodology and Statistical Analysis报告人：章叶（宾夕法尼亚大学）报告时间：2023年6月2日（周五）16:00报告地点：海纳苑2幢312摘要：Spectral clustering is one of the most popular algorithms to group high-dimensional data. It is easy to implement, computationally efficient, and has achieved tremendous success in many applications. The idea behind spectral clustering is d...

20

2023-09

An optimal control of a variable-order fractional PDE

报告题目：An optimal control of a variable-order fractional PDE报告人：王宏（南卡罗莱纳大学教授）报告时间：2023年6月5日10:00报告地点：海纳苑2幢102主要内容：Integer-order diffusion partial differential equations (PDEs) were derived under the assumptions that the underlying particle movements have (i) a mean free path and (ii) a mean waiting time, which hold for the diffusive transport of solut...

20

2023-09

深度学习中的Adam类算法：收敛性分析以及在双层规划中的应用

报告题目：深度学习中的Adam类算法：收敛性分析以及在双层规划中的应用报告人：胡潇尹（浙大城市学院）报告时间：2023年6月7日（周三）16:00报告地点：海纳苑2幢105摘要：本报告主要关注Adam类方法在求解非光滑优化问题，特别是在训练非光滑的深度神经网络时的收敛性分析。我们提出了一个统一的双时间尺度步长（two-timescale stepsize）的理论框架，应用微分包含（differential inclusion）来分析Adam类方法所产生迭代点的极限性...

20

2023-09

A New Framework for the Stability Analysis of Perturbed Saddle-point Problems and Applications

报告题目：A New Framework for the Stability Analysis of Perturbed Saddle-point Problems and Applications报告人：洪庆国（宾州州立大学）报告时间：2023年6月12日14:00-16:00报告地点：海纳苑2幢203报告摘要：This talk provides a new abstract stability result for perturbed saddle-point problems which is based on a proper norm fitting. We derive the stability condition according to Babuska’s theory from a ...

20

2023-09

Subspace learning for high dimensional tensor data

题目：Subspace learning for high dimensional tensor data报告人：韩岳峰(美国圣母大学）时间：2023年6月16日（周五）16:00 地点：海纳苑2幢312摘要：Motivated by modern scientific research, analysis of tensors (multi-dimensional arrays) has emerged as one of the most important and active areas in modern statistics and data science. High-dimensional tensor data routinely arise in a wide range of...

20

2023-09

nvariance Principle for a Random Walk Among a Poisson Field of Moving Traps

20

2023-09

Parameter space of cubic polynomials with a parabolic fixed point

Title: Parameter space of cubic polynomials with a parabolic fixed pointAbstract: We study the topological structure of the parameter space for the cubic polynomial family \lambda z+az^2+z^3 when \lambda is a root of unity. We show that for any given \lambda, the connected locus in the a-plane contains a full continuum which is almost a double covering of the filled-in Julia set for the quadratic ...

20

2023-09

Zeta Functions of Shimura Varieties: Past, Present, and the Near Future

数论与表示论讨论班Number Theory and Representation Theory SeminarTime: June 21, Wednesday, 16:00-17:00 Venue: Lecture HallSpeaker:Yihang Zhu朱艺航（University of Maryland） Title: Zeta Functions of Shimura Varieties: Past, Present, and the Near FutureAbstract: I will first recall the general expectations of Shimura, Langlands, and Kottwtiz on the shape of the zeta function of a Shimura variety, or...

20

2023-09

Some new results on repeated patterns in proper edge colorings

题目：Some new results on repeated patterns in proper edge colorings报告人：张韬（之江实验室）时间、地点：2023年6月28日8：30-10：30，海纳楼2幢203摘要：In this talk, we will study a new extremal problem recently posed by Conlon and Tyomkyn [Repeated patterns in proper colourings, SIDMA, 2021]. Given a graph $H$ and an integer $k\geqslant 2$, let $f_{k}(n,H)$ be the smallest number of colors $c$ suc...

20

2023-09

Radial Basis Function-Finite Difference Method for Solving PDEs and Eigenvalue Problems on Riemannian Manifolds

题目：Radial Basis Function-Finite Difference Method for Solving PDEs and Eigenvalue Problems on Riemannian Manifolds报告人：蒋诗晓（上海科技大学）时间：2023年6月27日14：00-16：00地点：海纳苑2幢204 摘要：In this talk, we will first discuss the Radial Basis Function (RBF) approximation to differential operators on smooth tensor fields defined on Riemannian submanifolds of ...

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