4 papers
A Finite Expression Method for Solving High-Dimensional Committor Problems
Zezheng Song, Maria K. Cameron, Haizhao Yang
Transition path theory (TPT) is a mathematical framework for quantifying rare transition events between a pair of selected metastable states and . Central to TPT is the comm…
Finite Expression Methods for Discovering Physical Laws from Data
Zhongyi Jiang, Chunmei Wang, Haizhao Yang
Nonlinear dynamics is a pervasive phenomenon observed in scientific and engineering disciplines. However, the task of deriving analytical expressions to describe nonlinear dynamics…
Reinforced Inverse Scattering
Hanyang Jiang, Yuehaw Khoo, Haizhao Yang
Inverse wave scattering aims at determining the properties of an object using data on how the object scatters incoming waves. In order to collect information, sensors are put in di…
Finite Expression Method for Solving High-Dimensional Partial Differential Equations
Senwei Liang, Haizhao Yang
Designing efficient and accurate numerical solvers for high-dimensional partial differential equations (PDEs) remains a challenging and important topic in computational science and…