2 papers
cs.LG2025
GeoFunFlow: Geometric function flow matching for joint probabilistic inference of physical fields and complex geometries
Sifan Wang, Yajie Ji, Zhikai Wu +2
Inverse problems governed by partial differential equations (PDEs) arise widely in science and engineering, but are often ill-posed and limited by sparse, noisy observations. In ma…
cs.LG2025
FunDiff: Diffusion Models over Function Spaces for Physics-Informed Generative Modeling
Sifan Wang, Zehao Dou, Siming Shan +2
Recent advances in generative modeling -- particularly diffusion models and flow matching -- have achieved remarkable success in synthesizing discrete data such as images and video…