AI RESEARCH

SplineFlow: Flow Matching for Dynamical Systems with B-Spline Interpolants

arXiv CS.LG

ArXi:2601.23072v2 Announce Type: replace Flow matching is a scalable generative framework for characterizing continuous normalizing flows with wide-range applications. However, current state-of-the-art methods are not well-suited for modeling dynamical systems, as they construct conditional paths using linear interpolants that may not capture the underlying state evolution, especially when learning higher-order dynamics from irregular sampled observations.