3 papers
cs.LG2026
Causal Schrödinger Bridges: Constrained Optimal Transport on Structural Manifolds
Rui Wu, Li YongJun
Generative modeling typically seeks the path of least action via deterministic flows (ODE). While effective for in-distribution tasks, we argue that these deterministic paths becom…
cs.LG2026
Smooth, Sparse, and Stable: Finite-Time Exact Skeleton Recovery via Smoothed Proximal Gradients
Rui Wu, Yongjun Li
Continuous optimization has significantly advanced causal discovery, yet existing methods (e.g., NOTEARS) generally guarantee only asymptotic convergence to a stationary point. Thi…
nlin.SI2025
Frequency Extraction from Invariant Flows
Derong Xu, Yongjun Li, Yue Hao +1
In non-degenerate integrable Hamiltonian systems, invariant tori can be parameterized equivalently by action variables or by their fundamental frequencies. We introduce an invarian…