Incorporating Pre-trained Diffusion Models in Solving the Schrödinger Bridge Problem

Fuente: arXiv
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Auteurs principaux: Tang, Zhicong, Hang, Tiankai, Gu, Shuyang, Chen, Dong, Guo, Baining
Format: Preprint
Publié: 2025
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author Tang, Zhicong
Hang, Tiankai
Gu, Shuyang
Chen, Dong
Guo, Baining
author_facet Tang, Zhicong
Hang, Tiankai
Gu, Shuyang
Chen, Dong
Guo, Baining
contents This paper aims to unify Score-based Generative Models (SGMs), also known as Diffusion models, and the Schrödinger Bridge (SB) problem through three reparameterization techniques: Iterative Proportional Mean-Matching (IPMM), Iterative Proportional Terminus-Matching (IPTM), and Iterative Proportional Flow-Matching (IPFM). These techniques significantly accelerate and stabilize the training of SB-based models. Furthermore, the paper introduces novel initialization strategies that use pre-trained SGMs to effectively train SB-based models. By using SGMs as initialization, we leverage the advantages of both SB-based models and SGMs, ensuring efficient training of SB-based models and further improving the performance of SGMs. Extensive experiments demonstrate the significant effectiveness and improvements of the proposed methods. We believe this work contributes to and paves the way for future research on generative models.
format Preprint
id arxiv_https___arxiv_org_abs_2508_18095
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Incorporating Pre-trained Diffusion Models in Solving the Schrödinger Bridge Problem
Tang, Zhicong
Hang, Tiankai
Gu, Shuyang
Chen, Dong
Guo, Baining
Computer Vision and Pattern Recognition
Machine Learning
This paper aims to unify Score-based Generative Models (SGMs), also known as Diffusion models, and the Schrödinger Bridge (SB) problem through three reparameterization techniques: Iterative Proportional Mean-Matching (IPMM), Iterative Proportional Terminus-Matching (IPTM), and Iterative Proportional Flow-Matching (IPFM). These techniques significantly accelerate and stabilize the training of SB-based models. Furthermore, the paper introduces novel initialization strategies that use pre-trained SGMs to effectively train SB-based models. By using SGMs as initialization, we leverage the advantages of both SB-based models and SGMs, ensuring efficient training of SB-based models and further improving the performance of SGMs. Extensive experiments demonstrate the significant effectiveness and improvements of the proposed methods. We believe this work contributes to and paves the way for future research on generative models.
title Incorporating Pre-trained Diffusion Models in Solving the Schrödinger Bridge Problem
topic Computer Vision and Pattern Recognition
Machine Learning
url https://arxiv.org/abs/2508.18095