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Related papers: Adversarial Schr\"odinger Bridge Matching

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Recent diffusion probabilistic models (DPM) in the field of pansharpening have been gradually gaining attention and have achieved state-of-the-art (SOTA) performance. In this paper, we identify shortcomings in directly applying DPMs to the…

Computer Vision and Pattern Recognition · Computer Science 2024-04-18 Zihan Cao , Xiao Wu , Liang-Jian Deng

Audio-visual deepfake localization demands interval-level outputs that serve as temporal evidence. Despite recent progress, symmetric fusion under single-sided or asynchronous forgeries propagates cross-modal noise, degrading high-precision…

Computer Vision and Pattern Recognition · Computer Science 2026-05-25 Jiayu Xiong , Jing Wang , Qi Zhang , Wanlong Wang , Jun Xue

We study Diffusion Schr\"odinger Bridge (DSB) models in the context of dynamical astrophysical systems, specifically tackling observational inverse prediction tasks within Giant Molecular Clouds (GMCs) for star formation. We introduce the…

Instrumentation and Methods for Astrophysics · Physics 2025-11-13 Ye Zhu , Duo Xu , Zhiwei Deng , Jonathan C. Tan , Olga Russakovsky

Diffusion and Schr\"{o}dinger Bridge models have established state-of-the-art performance in generative modeling but are often hampered by significant computational costs and complex training procedures. While continuous-time bridges…

Machine Learning · Computer Science 2025-12-16 Maria Khilchuk , Vladimir Latypov , Pavel Kleshchev , Alexander Hvatov

We consider a Schr\"odinger bridge problem where the Markov process is subject to parameter perturbations, forming an ensemble of systems. Our objective is to steer this ensemble from the initial distribution to the final distribution using…

Optimization and Control · Mathematics 2024-12-05 Daniel Owusu Adu , Yongxin Chen

Denoising diffusion models have recently emerged as a powerful class of generative models. They provide state-of-the-art results, not only for unconditional simulation, but also when used to solve conditional simulation problems arising in…

Machine Learning · Statistics 2022-06-28 Yuyang Shi , Valentin De Bortoli , George Deligiannidis , Arnaud Doucet

We propose a novel generative model for time series based on Schr{\"o}dinger bridge (SB) approach. This consists in the entropic interpolation via optimal transport between a reference probability measure on path space and a target measure…

Optimization and Control · Mathematics 2023-04-12 Mohamed Hamdouche , Pierre Henry-Labordere , Huyên Pham

Schr\"odinger Bridge (SB) is an entropy-regularized optimal transport problem that has received increasing attention in deep generative modeling for its mathematical flexibility compared to the Scored-based Generative Model (SGM). However,…

Machine Learning · Statistics 2023-04-04 Tianrong Chen , Guan-Horng Liu , Evangelos A. Theodorou

Diffusion models are a powerful class of generative models which simulate stochastic differential equations (SDEs) to generate data from noise. While diffusion models have achieved remarkable progress, they have limitations in unpaired…

Computer Vision and Pattern Recognition · Computer Science 2024-03-05 Beomsu Kim , Gihyun Kwon , Kwanyoung Kim , Jong Chul Ye

Modern distribution matching algorithms for training diffusion or flow models directly prescribe the time evolution of the marginal distributions between two boundary distributions. In this work, we consider a generalized distribution…

In image generation, Schr\"odinger Bridge (SB)-based methods theoretically enhance the efficiency and quality compared to the diffusion models by finding the least costly path between two distributions. However, they are computationally…

Computer Vision and Pattern Recognition · Computer Science 2025-03-05 Xingyu Qiu , Mengying Yang , Xinghua Ma , Fanding Li , Dong Liang , Gongning Luo , Wei Wang , Kuanquan Wang , Shuo Li

We propose Image-to-Image Schr\"odinger Bridge (I$^2$SB), a new class of conditional diffusion models that directly learn the nonlinear diffusion processes between two given distributions. These diffusion bridges are particularly useful for…

Computer Vision and Pattern Recognition · Computer Science 2023-05-29 Guan-Horng Liu , Arash Vahdat , De-An Huang , Evangelos A. Theodorou , Weili Nie , Anima Anandkumar

The mean-field Schr\"odinger bridge (MFSB) problem concerns designing a minimum-effort controller that guides a diffusion process with nonlocal interaction to reach a given distribution from another by a fixed deadline. Unlike the standard…

Optimization and Control · Mathematics 2026-04-10 Asmaa Eldesoukey , Yongxin Chen , Abhishek Halder

Visual navigation is a core challenge in Embodied AI, requiring autonomous agents to translate high-dimensional sensory observations into continuous, long-horizon action trajectories. While generative policies based on diffusion models and…

Robotics · Computer Science 2026-05-28 Wuyang Luan , Junhui Li , Weiguang Zhao , Wenjian Zhang , Tieru Wu , Rui Ma

The momentum Schr\"odinger Bridge (mSB) has emerged as a leading method for accelerating generative diffusion processes and reducing transport costs. However, the lack of simulation-free properties inevitably results in high training costs…

Machine Learning · Statistics 2025-01-29 Kevin Rojas , Yixin Tan , Molei Tao , Yuriy Nevmyvaka , Wei Deng

Schr\"odinger Bridges (SB) have recently gained the attention of the ML community as a promising extension of classic diffusion models which is also interconnected to the Entropic Optimal Transport (EOT). Recent solvers for SB exploit the…

Machine Learning · Computer Science 2024-07-31 Nikita Gushchin , Sergei Kholkin , Evgeny Burnaev , Alexander Korotin

Diffusion-based models have demonstrated remarkable effectiveness in image restoration tasks; however, their iterative denoising process, which starts from Gaussian noise, often leads to slow inference speeds. The Image-to-Image…

Image and Video Processing · Electrical Eng. & Systems 2025-03-25 Yuang Wang , Siyeop Yoon , Pengfei Jin , Matthew Tivnan , Sifan Song , Zhennong Chen , Rui Hu , Li Zhang , Quanzheng Li , Zhiqiang Chen , Dufan Wu

Score-based diffusion models are frequently employed as structural priors in inverse problems. However, their iterative denoising process, initiated from Gaussian noise, often results in slow inference speeds. The Image-to-Image…

Image and Video Processing · Electrical Eng. & Systems 2024-07-08 Yuang Wang , Pengfei Jin , Siyeop Yoon , Matthew Tivnan , Quanzheng Li , Li Zhang , Dufan Wu

In this work, we revisit the discrete-time Schr\"{o}dinger Bridge (SB) and Density Steering (DS) problems for Gaussian mixture model (GMM) boundary distributions. Building on the existing literature, we construct a set of feasible Markovian…

Systems and Control · Electrical Eng. & Systems 2026-04-02 George Rapakoulias , Fengjiao Liu , Panagiotis Tsiotras

The Schr\"{o}dinger bridge (SB) has evolved into a universal class of probabilistic generative models. In practice, however, estimated learning signals are innately uncertain, and the reliability promised by existing methods is often based…

Machine Learning · Computer Science 2025-12-23 Dong-Sig Han , Jaein Kim , Hee Bin Yoo , Byoung-Tak Zhang