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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Design of Patient Visit Itineraries in Tandem Systems
串联系统 患者就诊 行程设计
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2023/4/18
Multi-stage service is common in healthcare. One widely adopted approach to manage patient visits in multi-stage service is to provide patients with visit itineraries, which specify individualized app...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Density of orbits and arithmetic degrees of automorphisms of projective threefolds
射影三重 轨道密度 自同构 算术度
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2023/4/18
The Zariski dense orbit conjecture of the arithmetic dynamic is to study the existence of a rational point P with a Zariski dense orbit of a dominant rational self-map f of a projective variety X. Whe...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A Sparse Expansion of (Deep) Gaussian Processes
深层 高斯过程 稀疏展开
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2023/4/18
Conventional inferential methods for (deep) Gaussian Processes models can suffer from high computational complexity as they require large-scale operations with kernel matrices for training and inferen...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：mcGP: mesh-clustered Gaussian process emulator for partial differential equation systems
mcGP 偏微分方程组 网格聚类 高斯过程 仿真器
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2023/4/18
Partial differential equations (PDEs) have become an essential tool for modeling complex physical systems. Such equations are typically solved numerically via mesh-based methods, such as the finite el...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The distribution on periods of the continued fraction of $\sqrt{d}$
$sqrt{d}$ 连续分数 周期
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2023/4/18
The continued fraction is a very old and classical object. Its period is closely related to the solubility of the Pell equations, and also to the class group of quadratic fields. Last year, Koymans an...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stable commutator length and linear programming
换向器长度 线性规划 曲面 拓扑优化
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2023/4/18
Several topological optimization problems involving surfaces can be turned into linear programming problems. In the case of stable commutator length, this was first discovered by Danny Calegari in the...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Higher dimensional Heegaard Floer homology and Hecke algebras
高维 希加德弗洛尔同调 赫克代数
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2023/4/18
Higher dimensional Heegaard Floer homology (HDHF) is a higher dimensional analogue of Heegaard Floer homology in dimension three. It's partly used to study contact topology in higher dimensions. In a ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Multitype branching processes in random environments
随机环境 多类型 分支进程
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2023/4/18
We consider a branching process with a random environment, in which the reproduction law of generation $n$ depends on the random environment at time n, unlike a constant distribution assumed in the cl...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Who Shares Risk with Whom？A Dynamic Network Game Analysis
分担风险 动态网络 博弈分析
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2023/4/18
We investigate informal risk sharing using a dynamic network game model. In each round, a randomly selected agent experiences a negative shock, and the agent's friends decide whether to provide assist...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Improved Approximation Ratios of Fixed-Price Mechanisms in Bilateral Trades
双边贸易 固定价格机制 近似比率
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2023/4/18
We study the performance of fixed-price mechanisms in the bilateral trade problem. We improve the approximation ratios of welfare-optimal mechanisms in several settings. In particular, when we have on...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：不完全信息的多智能体系统博弈
不完全信息 多智能体系统 博弈
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2023/4/18
不完全信息博弈是当今的研究热点，也是人工智能领域所关注的。本报告主要针在分布式鲁棒博弈、在线博弈、安全博弈等方面介绍我们近年来的研究成果，我们的研究重点主要是在理论上给出严格的均衡分析或策略分析，为了解决相关问题，采用了近似算法、遗憾度分析、超博弈等进行研究，获得有一些有趣的结果。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The de Rham cohomology of p-adic formal schemes
p-adic形式方案 德拉姆 上同调
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2023/4/18
Discuss [Bha, §2.5-2.6]. Introduce objects in Definitions 2.5.1 and 2.5.3, and cover Theorem 2.5.6, Corollary 2.5.10, Corollary 2.6.8, and Corollary 2.6.11
This is a periodic series learning seminar ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Quasimorphisms and Bavard's duality
拟同构 巴瓦尔 对偶性
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2023/4/18
Quasimorphisms are generalizations of homomorphisms to the real number. Groups with nice aciton on Gromov-hyperbolic spaces often have a large space of quasimorphisms, although such groups can have tr...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：轨道威胁自主规避决策与反馈机制
轨道威胁 自主规避 决策 反馈机制
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2023/4/19
从1957年人类第一次发射卫星进入太空，空间目标总数达千万总质量达万吨。太空竞争加剧导致轨道空间日益拥挤, 碰撞风险激增且袭扰增多, 给航天器安全运行带来严峻挑战。报告将探讨太空环境的复杂、动态和不确定性给轨道威胁自主规避决策带来的一些控制问题和数学挑战。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Nonsplitting of the Hilbert Exact Sequence and the Principal Chebotarev Density Theorem
希尔伯特精确序列 主切 博塔列夫密度定理 非分裂
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2023/4/18
Let $K/k$ be a finite Galois extension of number fields, and let $H_K$ be the Hilbert class field of $K$. We find a way to verify the nonsplitting of the short exact sequence