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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Optimization models and approaches for strictly correlated electrons
严格 相关电子 优化模型 方法
2023/4/25
In electronic structure calculations, Kohn-Sham equations rank among the most widely adopted mathematical models. However, due to the deficiency of available approximations for exchange-correlation en...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：现代交通与物流中的运筹学实践
现代交通 物流 运筹学
2023/4/26
本次报告结合报告人团队在实践中的经验，探讨了地铁的乘务排班与智能运维，邮政的邮路规划与路由优化，高铁运行图的规划与设计，航空中的换发备发管理与调度优化，物流与供应链的选址优化等问题中的特点与难点，建模与算法解决方案。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Implementation of personalized optimization via the HEI algorithm
HEI算法 个性化 优化
2023/4/26
Unlike traditional robust optimization, personalized optimization aims to find the values of control variables that yield the optimal value of the objective function for given values of environmental ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the Turán number of theta graphs
θ图 图兰数 图论
2023/4/26
Turán-type problem may be one of central problems in extremal graph theory. Particularly, the Turán number of a cycle attracts much attention. In this talk, we introduce a terminology, that is, theta ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：致密油藏数值模拟技术及生产优化理论
致密油藏 数值模拟技术 生产优化理论
2023/4/26
非常规油气开发进入攻坚阶段，围绕致密油气储层非线性流动系统建模和生产优化等问题，介绍多重关联介质耦合流动模拟方法、不同流动空间分离建模和流动分级耦合多尺度数值模拟方法；同时，对自主研发的随机单纯形近似梯度方法（StoSAG）进行介绍，该方法可以用于考虑致密油气藏地质不确定性的生产优化。
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：An introduction to the Hypergraph Regularity Lemma and its Applications 3
超图 规律性引理 超图正则引理 汉密尔顿循环
2023/4/26
In this talk, we give an example to illustrate how to use the hypergraph regularity lemmas. The absorbing method due to R?dl, Schacht and Szemerédi is a powerful tool in proving hypergraph Hamilton cy...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：An introduction to the Hypergraph Regularity Lemma and its Applications 2
超图 规律性引理 超图正则引理 汉密尔顿循环
2023/4/26
In this talk, we first introduce the definitions of equitable partitions and state the hypergraph regularity lemma due to R?dl and Schacht. Then, we give the conception of reduced hypergraphs and its ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Optimal semi-supervised subsampling via predictive inference
预测推理 最优 半监督子采样
2023/4/26
In big data era, subsampling or sub-data selection techniques are often adopted to extract a fraction of informative individuals from the massive data. Existing subsampling algorithms focus mainly on ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Inverse Problems on Piezoelectric Equations
压电方程 反问题 狄利克雷 诺依曼映射 有限子域
2023/4/26
In this talk, recent progress on inverse problems for piezoelectric equations is discussed. We show a uniqueness result on recovering coefficients of piecewise homogeneous piezoelectric equations from...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：An introduction to the Hypergraph Regularity Lemma and its Applications 1
超图 规律性引理 超图正则引理 汉密尔顿循环
2023/4/26
Hypergraph regularity lemmas are generalizations of Szemerédi's regularity lemma for graphs, which has been proved to be a powerful tool with many subsequent. In this talk, we first give a brief intro...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：新能源电力系统规划及韧性提升的优化理论与算法研究
新能源 电力系统规划 韧性提升 优化理论 算法研究
2023/4/26
国家“双碳”战略目标的提出掀起了可再生清洁能源发展的新一轮高潮。构建以新能源为主体的新型电力系统，不仅要解决新能源间歇性、强波动性出力带来的消纳利用难题，还应充分考虑能源结构转型下的系统可靠性与韧性问题。风电、光伏等新能源发电设施的运行灵活性不足，且无法在恶劣天气条件下有效运行，故难以作为应急电源参与电网故障恢复。针对新型电力系统的新能源并网消纳和防灾减灾挑战，报告人深入探索面向电力系统规划与运行...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：几种组合优化问题的机器学习求解算法研究进展
组合优化问题 机器学习 求解算法
2023/4/26
深度强化学习作为机器学习中的一个重要研究领域，具有离线训练、在线决策的特性，能够有效地克服传统算法难以实现在线求解的缺陷，为组合优化问题的求解提供了一种全新的思路。我们针对组合优化领域中的三个经典问题：数字化的背包问题、结构化的选址与二次指派问题，将具有感知能力的深度学习和具有决策能力的强化学习相结合，提出了端到端模型。设计了符合问题性质的注意力机制，图神经指针网络等，给出了基于深度强化学习的相关...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：求解旅行商问题的高泛化性强化学习算法
旅行商问题 高泛化性 强化学习算法
2023/4/26
在用深度学习求解组合优化问题时，组合优化实例的分布差异会显著影响深度学习求解方法的泛化性能，因此提升数据泛化性能的关键在于使模型具备处理不同分布数据的能力。基于此，我们提出了用于提升深度学习求解算法泛化性能的博弈框架，该博弈框架适用于任何组合优化问题和任何深度学习求解算法，该框架基于策略空间响应的 Oracle 构造学习算法和数据生成器之间的二人零和元博弈，经过多轮博弈后可得到一组不同分布上具有不...
无穷集上多项式优化的齐次化方法（袁亚湘）
无穷集 多项式优化 齐次化方法
2023/2/22
This paper considers polynomial optimization with unbounded sets. We give a homogenization formulation and propose a hierarchy of Moment-SOS relaxations to solve it. Under the assumptions that the fea...
A line search penalty-free sequential quadratic programming method is proposed for nonlinear equality-constrained optimization. Generally, feasible directions are used to minimize the measurement of t...