用谱方法为有限马尔可夫链的k块平均核做划分，数学定理与算法并重，适合随机过程与谱图理论研究者。
arXiv:2608.21466v1 Announce Type: cross Abstract: We develop spectral algorithms for selecting state-space partitions that define averaging kernels fo…
全新广义贝尔曼递推揭示序列决策中的三重对偶性，重塑强化学习与最优控制理论基础。
arXiv:2607.18077v1 Announce Type: cross Abstract: What gives the Bellman equation its form? We show that the recursive properties of optimal value fun…
拉格朗日对偶流为约束流匹配开辟新路径，交叉优化与生成建模，值得技术党细读。
arXiv:2607.04513v1 Announce Type: cross Abstract: Flow matching is a powerful tool for generative modeling, but emerging applications in robotics, pla…
改变AI底层数学，或成摆脱算力“军备竞赛”的关键，研究人员已证明这条路可行。
Article URL: https://www.theregister.com/ai-and-ml/2026/06/30/changing-ai-math-could-reduce-the-hardware-burden-researchers-show/5264609 Comments URL:…
三重验证机制提升自动优化建模的可靠性，为AI辅助数学建模提供新思路。
arXiv:2605.23966v1 Announce Type: cross Abstract: Optimization modeling serves as the pivotal bridge between natural-language problem descriptions and…
用神经网络参数化凸体，探索形状泛函不等式范围，数学优化新框架。
arXiv:2602.14881v2 Announce Type: replace-cross Abstract: We introduce a novel numerical framework for the exploration of Blaschke--Santal\'o diagrams…