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Control Consistency Losses for Diffusion Bridges

Published: December 4, 2025 | arXiv ID: 2512.05070v1

By: Samuel Howard, Nikolas Nüsken, Jakiw Pidstrigach

Potential Business Impact:

Learns how things change from start to finish.

Business Areas:
Simulation Software

Simulating the conditioned dynamics of diffusion processes, given their initial and terminal states, is an important but challenging problem in the sciences. The difficulty is particularly pronounced for rare events, for which the unconditioned dynamics rarely reach the terminal state. In this work, we leverage a self-consistency property of the conditioned dynamics to learn the diffusion bridge in an iterative online manner, and demonstrate promising empirical results in a range of settings.

Page Count
26 pages

Category
Statistics:
Machine Learning (Stat)