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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Unstable homotopy groups of indecomposable A_3^2-complexes
不可分解 A_3^2 配合物 不稳定 同伦群
2023/4/14
In this talk, I will introduce the methods for calculating the unstable homotopy groups of finite CW-complexes which builds on works of the relative James construction initiated by B. Gray in 1973 and...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Conformally invariant fields out of Brownian loop soups
布朗环汤 共形 不变场 布朗分布
2023/4/14
For each central charge c\in (0,1], we construct a conformally invariant field which is a measurable function of the local time field \mathcal{L} of the Brownian loop soup with intensity c and i.i.d. ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：非线性随机薛定谔方程的拟周期解
非线性 随机薛定谔方程 拟周期解 安德森模型
2023/4/14
假设离散的安德森模型（一类离散随机薛定谔算子）满足安德森局部化. 与 Weimin Wang 合作，我们证明了一个非线性版本，即非线性随机薛定谔方程存在大量关于时间的拟周期解.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Simultaneous Optimal Transport
优化运输 矢量值度量 Wasserstein距离概念
2023/4/14
We propose a general framework of mass transport between vector-valued measures, which will be called simultaneous mass transport. The new framework is motivated by the need to transport resources of ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A Squared Smoothing Newton Method for Semidefinite Programming
半定规划 平方平滑 牛顿方法
2023/4/14
This paper proposes a squared smoothing Newton method via the Huber smoothing function for solving semidefinite programming problems (SDPs). We first study the fundamental properties of the matrix-val...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Approximate Envy-freeness in Indivisible Resource Allocation with Budget Constraints
预算约束 不可分割 资源分配 近似无嫉妒
2023/4/14
We study the fair allocation of indivisible resources under knapsack constraints, where a set of items with varied costs and values are to be allocated to a group of agents. Each agent has a budget co...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Rigidity of non-compact static domains in hyperbolic space via positive mass theorems
正质量定理 双曲空间 非紧致 静域刚性
2023/4/14
We single out a notion of staticity which applies to any domain in hyperbolic space whose boundary is a non-compact totally umbilical hypersurface. For (time-symmetric) initial data sets modeled at in...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Pandora Box Problem with Nonobligatory Inspection: Hardness and Approximation Scheme
潘多拉盒问题 非强制性检查 硬度 近似方案
2023/4/14
Weitzman (1979) introduced the Pandora Box problem as a model for sequential search with inspection costs, and gave an elegant index-based policy that attains provably optimal expected payoff. In vari...
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：Mixed-binary Convex Quadratic Optimization and Its Applications in Inference with Sparsity
二元凸 二次优化 稀疏推理
2023/4/14
Sparsity is a naturally occurring characteristic in many real-world applications including signal denoising, outlier detection, and finance. On one hand, sparsity assumption allows people to tackle in...
2023年3月24日，国家自然科学基金委员会（以下简称自然科学基金委）管理科学部主办、浙江大学经济学院承办的国家自然科学基金重大项目“数字经济的博弈论基础”2022年度交流会在杭州以线上线下相结合的方式成功举办。自然科学基金委副主任、党组成员侯增谦院士、自然科学基金委管理科学部副主任刘作仪研究员、浙江大学副校长黄先海教授、浙江大学经济学院院长张俊森教授出席并致辞。指导组专家、项目及课题负责人、管理...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global and Local Convergence-Rate Analysis of an Inexact Newton Augmented Lagrangian Method for Zero-One Composite Optimization
零一复合优化 不精确 牛顿增强拉格朗日方法 收敛率分析
2023/4/14
Zero-One Composite Optimization (0/1-COP) is a prototype of nonsmooth, non- convex optimization problems and it has attracted much attention recently. Augmented Lagrangian Method (ALM) has stood out a...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Two Approaches towards elliptic cohomology
椭圆 上同调 两种方法
2023/4/14
An elliptic cohomology theory is an even periodic multiplicative generalized cohomology theory whose associated formal group is the formal completion of an elliptic curve. It is at the intersection of...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Fairness Criteria for Allocating Indivisible Chores: Connections and Efficiencies
分配 不可分割杂务 公平标准
2023/4/14
We study several fairness notions in allocating indivisible chores (i.e., items with non-positive utilities) to agents, who have additive and submodular cost functions. The fairness criteria we are co...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Arbitrarily high-order cut-off methods to preserve maximum bound principle for Allen-Cahn equations
Allen-Cahn equations 最大界限原理 任意高阶 截止方法
2023/4/14
A new class of high-order maximum principle preserving numerical methods is proposed for solving the semilinear Allen-Cahn equation. We start with the method consists of a $k$th-order multistep expone...