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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Adaptive stabilization of non-cooperative stochastic differential games
非合作 随机微分对策 自适应镇定
2023/11/29
We considers the adaptive stabilization problem for a basic class of linear-quadratic non-cooperative stochastic differential games when the systems matrices are unknown to the regulator and the playe...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stability conditions and quadratic differentials
稳定性条件 二次微分 三角分类
2023/5/6
Stability conditions on triangulated categories are introduced by Bridgeland. For 3-Calabi-Yau triangulated categories from quivers with potentials, the space of stability conditions on this triangula...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Arnold conjecture and advances in Floer theory
阿诺德猜想 弗洛尔理论 哈密顿微分同胚
2023/5/4
In 1960s, Arnold conjectured that the number of fixed points of a Hamiltonian diffeomorphism of a symplectic manifold should be (much) greater than its counterpart for a general diffeomorphism. This c...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：带约束的差分隐私
带约束 差分隐私 中国科学院数学与系统科学研究院
2023/4/13
本报告首先主要介绍差分隐私的基本知识，然后介绍最近关于带约束差分隐私的工作。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Challenges and Beneficiations of differential privacy in transfer learning and federated learning
迁移学习 联邦学习 差分隐私
2023/4/13
Differential privacy is one of the most common techniques in privacy-preserving machine learning due to its rigorous math definition and theoretical results. Transfer learning and Federated learning a...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Meromorphic differentials and Teichmüller space
亚纯微分 泰希米勒空间 全纯二次微分
2023/4/17
In the late 1980s, Nigel Hitchin and Michael Wolf independently discovered a parametrization of the Teichmüller space of a compact surface by holomorphic quadratic differentials. In this talk, I will ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Uniqueness of BV Solution for Compressible Euler Equations
可压缩 欧拉方程 BV解 唯一性
2023/4/17
Compressible Euler equations are a typical system of hyperbolic conservation laws, whose solution forms shock waves in general. It is well known that global BV solutions of system of hyperbolic conser...
2022年12月9日上午，国家重点研发计划“数学和应用研究”重点专项“可解释深度学习的微分嵌入与最优传输理论”项目启动会暨实施方案论证会在西安交通大学顺利召开。项目咨询专家西安交通大学徐宗本院士、中国科学院数学与系统科学研究院高小山研究员、上海科技大学生物医学工程学院院长沈定刚教授、中山大学朱熹平教授、纽约州立大学石溪分校顾险峰教授、北京大学张志华教授参会指导。西安交通大学副校长别朝红教授、科技部...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Covariant Riesz transform on differential forms for $p\in (1,2]$
$pin （1，2]$ 微分形式 协变里斯变换
2023/4/28
In this talk, I will introduce the recent results on $L^p$-boundedness of covariant Riesz transform on differential forms on a class of non-compact weighted Riemannian manifolds for $p\in (1,2]$ witho...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Contact discontinuities in finitely long nozzles
有限长喷嘴 接触 不连续性 可压缩欧拉流
2023/5/4
There can be contact discontinuities in the nozzle for the compressible Euler flow. In this talk, we will talk about the cases of the subsonic-supersonic and supersonic-supersonic contact discontinuit...