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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

Diffusion Schr\"odinger bridges (DSB) have recently emerged as a powerful framework for recovering stochastic dynamics via their marginal observations at different time points. Despite numerous successful applications, existing algorithms…

Magnetic Resonance Imaging (MRI) is an inherently multi-contrast modality, where cross-contrast priors can be exploited to improve image reconstruction from undersampled data. Recently, diffusion models have shown remarkable performance in…

Image and Video Processing · Electrical Eng. & Systems 2025-10-27 Yue Wang , Yuanbiao Yang , Zhuo-xu Cui , Tian Zhou , Bingsheng Huang , Hairong Zheng , Dong Liang , Yanjie Zhu

This paper introduces a novel theoretical simplification of the Diffusion Schr\"odinger Bridge (DSB) that facilitates its unification with Score-based Generative Models (SGMs), addressing the limitations of DSB in complex data generation…

Machine Learning · Computer Science 2024-10-30 Zhicong Tang , Tiankai Hang , Shuyang Gu , Dong Chen , Baining Guo

In this work, we investigate application of generative speech enhancement to improve the robustness of ASR models in noisy and reverberant conditions. We employ a recently-proposed speech enhancement model based on Schr\"odinger bridge,…

Audio and Speech Processing · Electrical Eng. & Systems 2025-05-09 Rauf Nasretdinov , Roman Korostik , Ante Jukić

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…

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

This paper proposes a generative speech enhancement model based on Schr\"odinger bridge (SB). The proposed model is employing a tractable SB to formulate a data-to-data process between the clean speech distribution and the observed noisy…

Audio and Speech Processing · Electrical Eng. & Systems 2024-07-24 Ante Jukić , Roman Korostik , Jagadeesh Balam , Boris Ginsburg

Diffusion models have become the go-to method for large-scale generative models in real-world applications. These applications often involve data distributions confined within bounded domains, typically requiring ad-hoc thresholding…

Machine Learning · Statistics 2024-01-09 Wei Deng , Yu Chen , Nicole Tianjiao Yang , Hengrong Du , Qi Feng , Ricky T. Q. Chen

Recently, diffusion-based generative models have demonstrated remarkable performance in speech enhancement tasks. However, these methods still encounter challenges, including the lack of structural information and poor performance in low…

Audio and Speech Processing · Electrical Eng. & Systems 2024-09-16 Siyi Wang , Siyi Liu , Andrew Harper , Paul Kendrick , Mathieu Salzmann , Milos Cernak

This paper aims to unify Score-based Generative Models (SGMs), also known as Diffusion models, and the Schr\"odinger Bridge (SB) problem through three reparameterization techniques: Iterative Proportional Mean-Matching (IPMM), Iterative…

Computer Vision and Pattern Recognition · Computer Science 2025-08-26 Zhicong Tang , Tiankai Hang , Shuyang Gu , Dong Chen , Baining Guo

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 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

Progressively applying Gaussian noise transforms complex data distributions to approximately Gaussian. Reversing this dynamic defines a generative model. When the forward noising process is given by a Stochastic Differential Equation (SDE),…

Machine Learning · Statistics 2023-04-06 Valentin De Bortoli , James Thornton , Jeremy Heng , Arnaud Doucet

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

Image inpainting is an important image generation task, which aims to restore corrupted image from partial visible area. Recently, diffusion Schr\"odinger bridge methods effectively tackle this task by modeling the translation between…

Computer Vision and Pattern Recognition · Computer Science 2024-12-12 Zihao Han , Baoquan Zhang , Lisai Zhang , Shanshan Feng , Kenghong Lin , Guotao Liang , Yunming Ye , Xiaochen Qi , Guangming Ye

Adversarial diffusion and diffusion-inversion methods have advanced unpaired image-to-image translation, but each faces key limitations. Adversarial approaches require target-domain adversarial loss during training, which can limit…

Computer Vision and Pattern Recognition · Computer Science 2026-02-19 Jiaming Liu , Felix Petersen , Yunhe Gao , Yabin Zhang , Hyojin Kim , Akshay S. Chaudhari , Yu Sun , Stefano Ermon , Sergios Gatidis

Compared to the existing function-based models in deep generative modeling, the recently proposed diffusion models have achieved outstanding performance with a stochastic-process-based approach. But a long sampling time is required for this…

Machine Learning · Computer Science 2022-08-16 Ki-Ung Song

Generative diffusion models use time-forward and backward stochastic differential equations to connect the data and prior distributions. While conventional diffusion models (e.g., score-based models) only learn the backward process, more…

Machine Learning · Computer Science 2024-12-25 Kentaro Kaba , Reo Shimizu , Masayuki Ohzeki , Yuki Sughiyama

Speech enhancement (SE) utilizing diffusion models is a promising technology that improves speech quality in noisy speech data. Furthermore, the Schr\"odinger bridge (SB) has recently been used in diffusion-based SE to improve speech…

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