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Computational methods for learning to sample from the Boltzmann distribution -- where the target distribution is known only up to an unnormalized energy function -- have advanced significantly recently. Due to the lack of explicit target…

Machine Learning · Statistics 2025-11-26 Guan-Horng Liu , Jaemoo Choi , Yongxin Chen , Benjamin Kurt Miller , Ricky T. Q. Chen

Most modern bridge-diffusion methods achieve finite-time transport by specifying an interpolation, Schr\"odinger-bridge, or stochastic-control objective and then learning the associated score or drift field with a neural network. In…

Machine Learning · Computer Science 2026-05-06 Michael Chertkov

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

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

This study employs a neural network that represents the solution to a Schr\"odinger bridge problem to perform super-resolution of 2-m temperature in an urban area. Schr\"odinger bridges generally describe transformations between two data…

Atmospheric and Oceanic Physics · Physics 2025-12-15 Yuki Yasuda , Ryo Onishi

Score-based generative models have recently attracted significant attention for their ability to generate high-fidelity data by learning maps from simple Gaussian priors to complex data distributions. A natural generalization of this idea…

Computation · Statistics 2025-11-19 Hanwen Huang

Recent advancements in optimization-based text-to-3D generation heavily rely on distilling knowledge from pre-trained text-to-image diffusion models using techniques like Score Distillation Sampling (SDS), which often introduce artifacts…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Ziying Li , Xuequan Lu , Xinkui Zhao , Guanjie Cheng , Shuiguang Deng , Jianwei Yin

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

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

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

Leveraging connections between diffusion-based sampling, optimal transport, and stochastic optimal control through their shared links to the Schr\"odinger bridge problem, we propose novel objective functions that can be used to transport…

Machine Learning · Statistics 2024-10-11 Qijia Jiang , David Nabergoj

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

Understanding the continuous evolution of populations from discrete temporal snapshots is a critical research challenge, particularly in fields like developmental biology and systems medicine where longitudinal tracking of individual…

Machine Learning · Statistics 2025-10-21 Byoungwoo Park , Juho Lee

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

Scientists often want to make predictions beyond the observed time horizon of "snapshot" data following latent stochastic dynamics. For example, in time course single-cell mRNA profiling, scientists have access to cellular transcriptional…

Machine Learning · Statistics 2025-05-23 Renato Berlinghieri , Yunyi Shen , Jialong Jiang , Tamara Broderick

Generalized Schr\"odinger Bridges (GSBs) are a fundamental mathematical framework used to analyze the most likely particle evolution based on the principle of least action including kinetic and potential energy. In parallel to their…

Machine Learning · Statistics 2024-12-31 Guan-Horng Liu , Tianrong Chen , Evangelos A. Theodorou

The Schr\"odinger Bridge (SB) problem offers a powerful framework for combining optimal transport and diffusion models. A promising recent approach to solve the SB problem is the Iterative Markovian Fitting (IMF) procedure, which alternates…

Machine Learning · Computer Science 2024-11-06 Nikita Gushchin , Daniil Selikhanovych , Sergei Kholkin , Evgeny Burnaev , Alexander Korotin

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

We present Schr\"odinger Bridge Mamba (SBM), a novel model for efficient speech enhancement by integrating the Schr\"odinger Bridge (SB) training paradigm and the Mamba architecture. Experiments of joint denoising and dereverberation tasks…

Sound · Computer Science 2026-03-06 Jing Yang , Sirui Wang , Chao Wu , Lei Guo , Fan Fan

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