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Although diffusion models have successfully extended to function-valued data, stochastic interpolants -- which offer a flexible way to bridge arbitrary distributions -- remain limited to finite-dimensional settings. This work bridges this…

Machine Learning · Statistics 2026-02-03 James Boran Yu , RuiKang OuYang , Julien Horwood , José Miguel Hernández-Lobato

Auto encoding models have been extensively studied in recent years. They provide an efficient framework for sample generation, as well as for analysing feature learning. Furthermore, they are efficient in performing interpolations between…

Machine Learning · Statistics 2021-03-30 Adam Lindhe , Carl Ringqvist , Henrik Hult

Diffusion models (DMs), which enable both image generation from noise and inversion from data, have inspired powerful unpaired image-to-image (I2I) translation algorithms. However, they often require a larger number of neural function…

Computer Vision and Pattern Recognition · Computer Science 2024-11-25 Jeongsol Kim , Beomsu Kim , Jong Chul Ye

Denoising diffusion bridge models (DDBMs) are a powerful variant of diffusion models for interpolating between two arbitrary paired distributions given as endpoints. Despite their promising performance in tasks like image translation, DDBMs…

Machine Learning · Computer Science 2025-05-01 Kaiwen Zheng , Guande He , Jianfei Chen , Fan Bao , Jun Zhu

A class of generative models that unifies flow-based and diffusion-based methods is introduced. These models extend the framework proposed in Albergo and Vanden-Eijnden (2023), enabling the use of a broad class of continuous-time stochastic…

Machine Learning · Computer Science 2025-10-10 Michael S. Albergo , Nicholas M. Boffi , Eric Vanden-Eijnden

Stochastically evolving geometric systems are studied in shape analysis and computational anatomy for modelling random evolutions of human organ shapes. The notion of geodesic paths between shapes is central to shape analysis and has a…

Numerical Analysis · Mathematics 2022-12-01 Alexis Arnaudon , Frank van der Meulen , Moritz Schauer , Stefan Sommer

Stable Diffusion fine-tuning technique is tried to assist bridge-type innovation. The bridge real photo dataset is built, and Stable Diffusion is fine tuned by using four methods that are Textual Inversion, Dreambooth, Hypernetwork and…

Machine Learning · Computer Science 2024-09-25 Leye Zhang , Xiangxiang Tian , Chengli Zhang , Hongjun Zhang

Stochastic Interpolants (SI) is a powerful framework for generative modeling, capable of flexibly transforming between two probability distributions. However, its use in jointly optimized latent variable models remains unexplored as it…

Machine Learning · Computer Science 2026-04-23 Saurabh Singh , Dmitry Lagun

The Schr\"odinger bridge problem is concerned with finding a stochastic dynamical system bridging two marginal distributions that minimises a certain transportation cost. This problem, which represents a generalisation of optimal transport…

Machine Learning · Computer Science 2026-03-03 Kirill Tamogashev , Nikolay Malkin

Contents generated by recent advanced Text-to-Image (T2I) diffusion models are sometimes too imaginative for existing off-the-shelf dense predictors to estimate due to the immitigable domain gap. We introduce DMP, a pipeline utilizing…

Computer Vision and Pattern Recognition · Computer Science 2024-04-04 Hsin-Ying Lee , Hung-Yu Tseng , Hsin-Ying Lee , Ming-Hsuan Yang

Image-to-image translation is an important and challenging problem in computer vision and image processing. Diffusion models (DM) have shown great potentials for high-quality image synthesis, and have gained competitive performance on the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-24 Bo Li , Kaitao Xue , Bin Liu , Yu-Kun Lai

We provide a general framework for learning diffusion bridges that transport prior to target distributions. It includes existing diffusion models for generative modeling, but also underdamped versions with degenerate diffusion matrices,…

Machine Learning · Computer Science 2025-08-14 Denis Blessing , Julius Berner , Lorenz Richter , Gerhard Neumann

Image-to-Image (I2I) multi-domain translation models are usually evaluated also using the quality of their semantic interpolation results. However, state-of-the-art models frequently show abrupt changes in the image appearance during…

Computer Vision and Pattern Recognition · Computer Science 2021-06-17 Yahui Liu , Enver Sangineto , Yajing Chen , Linchao Bao , Haoxian Zhang , Nicu Sebe , Bruno Lepri , Wei Wang , Marco De Nadai

Modality translation is inherently under-constrained, as multiple cross-modal mappings may yield the same marginals. Recent work has shown that diffusion bridges are effective for this task. However, most existing approaches rely on fully…

Machine Learning · Computer Science 2026-05-13 Eitan Kosman , Gabriele Serussi , Chaim Baskin

Flow and bridge matching are a novel class of processes which encompass diffusion models. One of the main aspect of their increased flexibility is that these models can interpolate between arbitrary data distributions i.e. they generalize…

Machine Learning · Computer Science 2023-11-14 Valentin De Bortoli , Guan-Horng Liu , Tianrong Chen , Evangelos A. Theodorou , Weilie Nie

Text-to-image (T2I) generative models have recently emerged as a powerful tool, enabling the creation of photo-realistic images and giving rise to a multitude of applications. However, the effective integration of T2I models into…

Computer Vision and Pattern Recognition · Computer Science 2024-03-29 Zhicai Wang , Longhui Wei , Tan Wang , Heyu Chen , Yanbin Hao , Xiang Wang , Xiangnan He , Qi Tian

Diffusion bridge models establish probabilistic paths between arbitrary paired distributions and exhibit great potential for universal image restoration. Most existing methods merely treat them as simple variants of stochastic interpolants,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-04 Hebaixu Wang , Jing Zhang , Haoyang Chen , Haonan Guo , Di Wang , Jiayi Ma , Bo Du

Diffusion Bridge and Flow Matching have both demonstrated compelling empirical performance in transformation between arbitrary distributions. However, there remains confusion about which approach is generally preferable, and the substantial…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Kaizhen Zhu , Mokai Pan , Zhechuan Yu , Jingya Wang , Jingyi Yu , Ye Shi

Diffusion-based image-to-image (I2I) translation excels in high-fidelity generation but suffers from slow sampling in state-of-the-art Diffusion Bridge Models (DBMs), often requiring dozens of function evaluations (NFEs). We introduce…

Computer Vision and Pattern Recognition · Computer Science 2026-05-08 Sankarshana Venugopal , Mohammad Mostafavi , Jonghyun Choi

As recent advances in large-scale Text-to-Image (T2I) diffusion models have yielded remarkable high-quality image generation, diverse downstream Image-to-Image (I2I) applications have emerged. Despite the impressive results achieved by…

Computer Vision and Pattern Recognition · Computer Science 2024-10-11 Geonung Kim , Beomsu Kim , Eunhyeok Park , Sunghyun Cho
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