Equivariant Flow Matching for Symmetry-Breaking Bifurcation Problems
等变流匹配用于对称破缺分岔问题
机构 * Department of Mechanical Engineering, Eindhoven University of Technology（埃因霍温理工大学机械工程系） ； DIFFER – Dutch Institute for Fundamental Energy Research（荷兰基础能源研究所） ； Faculty of Civil Engineering, Department of Mechanics, Czech Technical University in Prague（布拉格捷克技术大学土木工程学院力学系） ； Department of Mathematics and Computer Science, Eindhoven University of Technology（埃因霍温理工大学数学与计算机科学系）
AI总结 针对非线性动力系统中对称破缺导致的多稳态共存问题，提出等变流匹配方法，结合等变架构与最优传输耦合机制，准确捕捉多模态分布和对称破缺分岔，优于非概率和变分方法。
Comments 9 pages, 7 figures including appendices. Accepted to Machine Learning and the Physical Sciences Workshop, NeurIPS 2025 (https://ml4physicalsciences.github.io/2025/). Repository with corresponding code: https://github.com/FHendriks11/bifurcationML/. Video explanation: https://www.youtube.com/watch?v=wsL3h17KtjY
