05

2023-06

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...

30

2023-05

A Nakai-Moishezon type criterion for supercritical deformed Hermitian-Yang-Mills equation

Title: A Nakai-Moishezon type criterion for supercritical deformed Hermitian-Yang-Mills equationAbstract: The deformed Hermitian-Yang-Mills equation is a fully nonlinear elliptic PDE on Kahler manifolds, which can be regarded as the complex analogue of the Lagrangian equation. In this talk, I will present a Nakai-Moishezon type criterion for supercritical deformed Hermitian-Yang-Mills equation, wh...

30

2023-05

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...

30

2023-05

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...

29

2023-05

L^p bounds for Hilbert transforms along certain variable curves

Title: L^p bounds for Hilbert transforms along certain variable curvesSpeaker:万仁辉（南京师范大学）Time:2023-06-01，9:00-10:00Location:腾讯会议 754117896Abstract:We will show the L^p boundedness of the Hilbert transforms along some variable non-flat curves. The proof is based on the estimate of shift maximal operator and Stein-Wainger-type’s decay estimate by Guo-Pierce-Roos-Yung. Besides, we al...

29

2023-05

Few-shot Learning and Calibrating Deep Networks

报告题目：Few-shot Learning and Calibrating Deep Networks报告人：Prof. Ismail Ben Ayed （加拿大魁北克大学）时间：2023年5月29日（周一）上午10:00开始地点：海纳院2幢203教室报告人简介：Ismail Ben Ayed教授是魁北克大学高等工程学院（ETS）医学图像与人工智能的首席教授，蒙特利尔大学医学研究中心（CRCHUM）成员，是有卓越研究成果的年轻专家。主要研究工作集中在将现代优化计算方法成功应用于医学图像分析、计算视觉及...

26

2023-05

非线性密码组件的设计与分析

  

26

2023-05

Kruskal-Katona-type Theorems for graphs

  

25

2023-05

Some rigidity theorems on conformal deformation

题目: Some rigidity theorems on conformal deformation报告人：来米加 长聘副教授（上海交通大学）时间：6月1日，10:30-11:30地点：海纳苑2幢202摘要: In this talk, I shall discuss some rigidity theorems on conformal deformations. The main discovery here is that on a complete noncompact manifold with suitable curvature assumption, then one cannot increase the Schouten tensor via conformal deformation. The...

23

2023-05

Steinberg’s cross-section of Newton strata

数论与表示论讨论班Number Theory and Representation Theory SeminarTime: May 31, Wednesday, 15:00-16:00 Venue: 数学高等研究院Lecture HallSpeaker: 聂思安Sian Nie (Academy of Mathematics and Systems Science)Title: Steinberg’s cross-section of Newton strataAbstract: Let G be a simply connected semisimple group of rank r over an algebraically closed field. Steinberg has associated to each minimal lengt...

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