Aligned Diffusion Schr\"odinger Bridges

arXiv:2302.11419v3 Announce Type: replace
Abstract: Diffusion Schr\"odinger bridges (DSB) have recently emerged as a powerful framework for recovering stochastic dynamics via their marginal observations at different time points. Despite numerous successful applications, existing algorithms for solving DSBs have so far failed to utilize the structure of aligned data, which naturally arises in many biological phenomena. In this paper, we propose a novel algorithmic framework that, for the first time, solves DSBs while respecting the data alignment. Our approach hinges on …

abstract algorithms applications arxiv cs.lg data diffusion dynamics framework q-bio.qm stochastic type via