Zhe-Hao Xu

Computational and Statistical Guarantees of the \textit{c}-Rectified flow

This work studies a cost-aware class of rectified flow, a cost-aware class of rectified flow that projects velocity fields onto a gradient class while preserving endpoint marginals, and establishes quantitative one-step contraction and exponential convergence guarantees under projection-stability assumptions for both quadratic and strongly convex displacement costs.