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The dynamic Schr\"odinger bridge problem seeks a stochastic process that defines a transport between two target probability measures, while optimally satisfying the criteria of being closest, in terms of Kullback-Leibler divergence, to a…

Machine Learning · Statistics 2023-12-25 Stefano Peluchetti

Recently, a series of papers proposed deep learning-based approaches to sample from target distributions using controlled diffusion processes, being trained only on the unnormalized target densities without access to samples. Building on…

Machine Learning · Computer Science 2024-05-24 Lorenz Richter , Julius Berner

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

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

Offline planning often struggles with poor sampling efficiency as it tries to learn policies from scratch. Especially with diffusion models, such cold start practices mean that both training and sampling become very expensive. We…

Robotics · Computer Science 2024-06-19 Adarsh Srivastava

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

Despite the recent advances in the field of computational Schr\"odinger Bridges (SB), most existing SB solvers are still heavy-weighted and require complex optimization of several neural networks. It turns out that there is no principal…

Machine Learning · Computer Science 2024-03-20 Alexander Korotin , Nikita Gushchin , Evgeny Burnaev

Recently, reconstruction-based methods have gained attention for AIGC image detection. These methods leverage pre-trained diffusion models to reconstruct inputs and measure residuals for distinguishing real from fake images. Their key…

Computer Vision and Pattern Recognition · Computer Science 2026-01-15 Qingyu Liu , Zhongjie Ba , Jianmin Guo , Qiu Wang , Zhibo Wang , Jie Shi , Kui Ren

The application of the diffusion in many computer vision and artificial intelligence projects has been shown to give excellent improvements in performance. One of the main bottlenecks of this technique is the quadratic growth of the kNN…

Computer Vision and Pattern Recognition · Computer Science 2019-04-19 Federico Magliani , Kevin McGuinness , Eva Mohedano , Andrea Prati

At the core of modern generative modeling frameworks, including diffusion models, score-based models, and flow matching, is the task of transforming a simple prior distribution into a complex target distribution through stochastic paths in…

Machine Learning · Computer Science 2026-03-20 Sophia Tang

It is a crucial challenge to reconstruct population dynamics using unlabeled samples from distributions at coarse time intervals. Recent approaches such as flow-based models or Schr\"odinger Bridge (SB) models have demonstrated appealing…

Machine Learning · Statistics 2023-10-06 Tianrong Chen , Guan-Horng Liu , Molei Tao , Evangelos A. Theodorou

Accurate segmentation of medical images is challenging due to unclear lesion boundaries and mask variability. We introduce \emph{Segmentation Sch\"{o}dinger Bridge (SSB)}, the first application of Sch\"{o}dinger Bridge for ambiguous medical…

Computer Vision and Pattern Recognition · Computer Science 2025-09-23 Lalith Bharadwaj Baru , Kamalaker Dadi , Tapabrata Chakraborti , Raju S. Bapi

Diffusion models demonstrate remarkable capabilities in capturing complex data distributions and have achieved compelling results in many generative tasks. While they have recently been extended to dense prediction tasks such as depth…

Computer Vision and Pattern Recognition · Computer Science 2025-12-16 Haorui Ji , Taojun Lin , Hongdong Li

In recent advancements in proton therapy, MR-based treatment planning is gaining momentum to minimize additional radiation exposure compared to traditional CT-based methods. This transition highlights the critical need for accurate MR-to-CT…

Medical Physics · Physics 2024-07-02 Muheng Li , Xia Li , Sairos Safai , Damien Weber , Antony Lomax , Ye Zhang

Recent advances in diffusion bridge models leverage Doob's $h$-transform to establish fixed endpoints between distributions, demonstrating promising results in image translation and restoration tasks. However, these approaches often produce…

Computer Vision and Pattern Recognition · Computer Science 2025-11-12 Mokai Pan , Kaizhen Zhu , Yuexin Ma , Yanwei Fu , Jingyi Yu , Jingya Wang , Ye Shi

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

Existing diffusion-based 3D shape completion methods typically use a conditional paradigm, injecting incomplete shape information into the denoising network via deep feature interactions (e.g., concatenation, cross-attention) to guide…

Computer Vision and Pattern Recognition · Computer Science 2026-03-18 Dequan Kong , Honghua Chen , Zhe Zhu , Mingqiang Wei

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

Diffusion models are powerful generative models that map noise to data using stochastic processes. However, for many applications such as image editing, the model input comes from a distribution that is not random noise. As such, diffusion…

Computer Vision and Pattern Recognition · Computer Science 2023-12-06 Linqi Zhou , Aaron Lou , Samar Khanna , Stefano Ermon

The Dual Diffusion Implicit Bridge (DDIB) is an emerging image-to-image (I2I) translation method that preserves cycle consistency while achieving strong flexibility. It links two independently trained diffusion models (DMs) in the source…

Computer Vision and Pattern Recognition · Computer Science 2025-11-17 Zhanpeng Wang , Shuting Cao , Yuhang Lu , Yuhan Li , Na Lei , Zhongxuan Luo