4 papers
On the Convergence and Straightness of Rectified Flow
Vansh Bansal, Saptarshi Roy, Alessandro Rinaldo +1
Flow Matching has become a cornerstone of modern generative models like Stable Diffusion 3, largely due to the efficiency of its Rectified Flow (RF) variant. The success of RF hing…
Low-Dimensional Adaptation of Rectified Flow: A Diffusion and Stochastic Localization Perspective
Saptarshi Roy, Alessandro Rinaldo, Purnamrita Sarkar
In recent years, Rectified flow (RF) has gained considerable popularity largely due to its generation efficiency and state-of-the-art performance. In this paper, we investigate the…
A note on time-uniform concentration inequality for matrix products
Tuan Pham, Alessandro Rinaldo
This short note contains a simple argument that allows us to go from fixed-time to any-time bounds for the concentration of matrix products. The result presented here is motivated…
Time-uniform concentration bounds for iterative algorithms
Tuan Pham, Alessandro Rinaldo, Purnamrita Sarkar
We develop a new framework for deriving time-uniform concentration bounds for the output of stochastic sequential algorithms satisfying certain recursive inequalities akin to those…