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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Symmetry in Cayley graphs
凯莱图 对称性 图论
2023/4/27
Cayley graphs form an important class of vertex-transitive graphs, which have been the object of study for many decades. These graphs admit a group of automorphisms that acts regularly (sharply-transi...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Perfect Matchings in hypergraphs
超图 完美匹配 图论
2023/4/27
Matchings are fundamental objects in the study of graph theory. Unlike in graphs, finding maximum matchings in general hypergraphs is NP-hard -- its decision problem is actually one of the Karp’s 21 N...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：基于演化博弈及行为实验的统计交叉科学研究
演化博弈 行为实验 统计交叉科学
2023/4/27
学科交叉体现了科学向综合性发展的趋势，近年来国际上科技及产业的重大突破和创新都来源于多学科交叉。2020年以来教育部把交叉学科单列作为第14个学科门类，国家自然科学基金委也设立交叉科学部。如何打破学科壁垒，利用统计学学科特点与其他学科交叉，开展统计交叉科学研究，是统计学科研究人员面临的一个重要课题。该报告将结合报告人近年来的研究工作，探讨统计学与其他学科的交叉研究。具体介绍作者基于演化博弈模型及行...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Proper orientations and proper orientation number
正确取向数 MAD（G） 图论
2023/4/27
The proper orientation number \Vec{\chi}(G) of a graph G is the minimum k such that there exists an orientation of the edges of G with all vertex-outdegrees at most k and such that for any adjacent ve...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Distributed Sparse Identification for Stochastic Dynamic Systems under Cooperative Non-Persistent Excitation Condition
协作 非持续激励条件 随机动态系统 分布式 稀疏辨识
2023/4/28
This talk considers the distributed sparse identification problem over wireless sensor networks such that all sensors cooperatively estimate the unknown sparse parameter vector of stochastic dynamic s...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：线性、非线性、随机博弈投入产出分析模型的研究与应用
博弈 投入产出 分析模型
2023/4/28
经典线性投入产出分析（IO）模型在比例性假定和同质性假定下，实现了对宏观经济大系统的科学近似描述。它是从数量上系统地研究一个复杂经济实体的各不同部门之间相互关系的方法。由于它的假定与经济现实有较大差距，IO模型在短期经济分析和预测中是强有力工具，但在长期预测和计划方面却遇到严重困难。基于IO模型的优缺点，报告人结合计量经济模型、数学、系统科学、统计学等的方法，构建了一系列线性IO扩展模型、主系数非...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：新冠肺炎疫情防控中的智能优化调度
新冠肺炎 疫情防控 智能优化调度
2023/4/28
新冠肺炎疫情给公共管理特别是公共卫生资源应急调度带来了巨大挑战。我们将介绍智能优化调度方法应用于新冠肺炎疫情防控的若干实践研究，主要包括医疗物资/人员运输调度优化，防疫物资应急生产调度优化，中医药多元化预防干预方案优化等，并简要探讨围绕国家应急需求开展高水平应用研究的一些思路和经验。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Extremal results on 4-cycles
4 个周期 极值结果 图兰型问题
2023/4/28
The study of the 4-cycle has an important enlightening effect on the development of Turan type problems, especially the degenerate cases. In this talk, we focus on two conjectures about 4-cycles: a co...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：史瓦西时空中的John定理
史瓦西时空 John定理 幂次非线性波动方程 小初值存在性定理
2023/5/5
本报告中，我们将讨论史瓦西时空中幂次非线性波动方程初值问题的小初值存在性定理。该结果对应于Fritz John于1979年证明的闵氏时空中小初值整体存在性结果。对于任何给定的Cauchy曲面，以及远离奇点(r=0)的时空区域，该结果适用于一大类适当的小初值。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Research on Port Cities' Transportation System and Trade Flows in China
中国港口城市 交通系统 贸易流动
2023/5/5
This paper quantitatively investigates the effect of transportation system on trade flows of four major port cities in China. Due to the significant country-pair heterogeneities in both intercept and ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：中国集装箱港口系统货运需求预测理论与实证研究
中国集装箱 港口系统 货运需求 预测理论 实证研究
2023/5/5
本文阐述了汪寿阳教授提出的"四环"集装箱港口系统的研究框架，并以"二环"中国八大集装箱港口系统预测研究为例，具体介绍了基于该理论框架进行预测和分析所研究集装箱港口系统货运需求的实证过程。实证研究表明，基于"四环"研究框架，从经济贸易、地理等不同纬度来分析"二环"中国港口群系统，归纳和总结中国集装箱港口系统的发展现象和演化规律，识别影响集装箱货运需求的关键定量指标，结合并匹配TEI@I方法论的研究思...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： Fusion of Supervised Learning and Reinforcement Learning for Dynamic Treatment Recommendation
监督学习 强化学习 融合 动态治疗推荐 电子健康记录
2023/5/6
Electronic health records (EHR) have provided a great opportunity to exploit personalized health data to optimize clinical decision making and achieve personalized treatment recommendation. In this ta...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： Inverse optimal control based on output measurements
输出测量 逆优化控制 逆问题
2023/5/5
In this talk we discuss inverse optimal control for the case where only the output measurements are available. By considering the inverse problem as an identification problem, the focus of the talk is...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Inverse optimal control based on output measurements
输出测量 逆优化控制 逆问题
2023/5/5
In this talk we discuss inverse optimal control for the case where only the output measurements are available. By considering the inverse problem as an identification problem, the focus of the talk is...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Fusion of Supervised Learning and Reinforcement Learning for Dynamic Treatment Recommendation
监督学习 强化学习 融合 动态治疗推荐
2023/5/5
Electronic health records (EHR) have provided a great opportunity to exploit personalized health data to optimize clinical decision making and achieve personalized treatment recommendation. In this ta...