[2512.14190] Random-Bridges as Stochastic Transports for Generative Models

Computer Science > Machine Learning arXiv:2512.14190 (cs) [Submitted on 16 Dec 2025 (v1), last revised 4 Apr 2026 (this version, v3)] Title:Random-Bridges as Stochastic Transports for Generative Models Authors:Stefano Goria, Levent A. Mengütürk, Murat C. Mengütürk, Berkan Sesen View a PDF of the paper titled Random-Bridges as Stochastic Transports for Generative Models, by Stefano Goria and 3 other authors View PDF HTML (experimental) Abstract:This paper motivates the use of random-bridges -- stochastic processes conditioned to take target distributions at fixed timepoints -- in the realm of generative modelling. Herein, random-bridges can act as stochastic transports between two probability distributions when appropriately initialized, and can display either Markovian or non-Markovian, and either continuous, discontinuous or hybrid patterns depending on the driving process. We show how one can start from general probabilistic statements and then branch out into specific representations for learning and simulation algorithms in terms of information processing. Our empirical results, built on Gaussian random bridges, produce high-quality samples in significantly fewer steps compared to traditional approaches, while achieving competitive Frechet inception distance scores. Our analysis provides evidence that the proposed framework is computationally cheap and suitable for high-speed generation tasks. Subjects: Machine Learning (cs.LG); Probability (math.PR) Cite as: arXiv:251...