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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

Imitation learning with diffusion models has advanced robotic control by capturing the multi-modal action distributions. However, existing methods typically treat observations only as high-level conditions to the denoising network, rather…

Artificial Intelligence · Computer Science 2026-02-05 Zhaoyang Liu , Mokai Pan , Zhongyi Wang , Kaizhen Zhu , Haotao Lu , Haipeng Zhang , Jingya Wang , Ye Shi

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

Conditional generative models represent a significant advancement in the field of machine learning, allowing for the controlled synthesis of data by incorporating additional information into the generation process. In this work we introduce…

Machine Learning · Statistics 2024-09-27 Hanwen Huang

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…

Flow matching casts sample generation as learning a continuous-time velocity field that transports noise to data. Existing flow matching networks typically predict each point's velocity independently, considering only its location and time…

Machine Learning · Computer Science 2025-11-11 Md Shahriar Rahim Siddiqui , Moshe Eliasof , Eldad Haber

Generative models have shown robust performance on speech enhancement and restoration tasks, but most prior approaches operate offline with high latency, making them unsuitable for streaming applications. In this work, we investigate the…

Audio and Speech Processing · Electrical Eng. & Systems 2025-10-21 Tsun-An Hsieh , Sebastian Braun

Simulation-free methods for training continuous-time generative models construct probability paths that go between noise distributions and individual data samples. Recent works, such as Flow Matching, derived paths that are optimal for each…

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

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

Speech enhancement (SE) improves degraded speech's quality, with generative models like flow matching gaining attention for their outstanding perceptual quality. However, the flow-based model requires multiple numbers of function…

Audio and Speech Processing · Electrical Eng. & Systems 2025-09-26 Jiahe Wang , Hongyu Wang , Wei Wang , Lei Yang , Chenda Li , Wangyou Zhang , Lufen Tan , Yanmin Qian

Predicting the intermediate trajectories between an initial and target distribution is a central problem in generative modeling. Existing approaches, such as flow matching and Schr\"odinger bridge matching, effectively learn mappings…

Machine Learning · Computer Science 2026-03-03 Sophia Tang , Yinuo Zhang , Alexander Tong , Pranam Chatterjee

We study generative modeling for time series using entropic optimal transport and the Schr\"odinger bridge (SB) framework, with a focus on applications in finance and energy modeling. Extending the diffusion-based approach of Hamdouche,…

Mathematical Finance · Quantitative Finance 2026-02-24 Stefano De Marco , Huyên Pham , Davide Zanni

Diffusion-based generative models have greatly impacted the speech processing field in recent years, exhibiting high speech naturalness and spawning a new research direction. Their application in real-time communication is, however, still…

Signal Processing · Electrical Eng. & Systems 2026-04-22 Simon Welker , Bunlong Lay , Maris Hillemann , Tal Peer , Timo Gerkmann

We study diffusion-based speech enhancement using a Schrodinger bridge formulation and extend the EDM2 framework to this setting. We employ time-dependent preconditioning of network inputs and outputs to stabilize training and explore two…

Audio and Speech Processing · Electrical Eng. & Systems 2026-01-30 Julius Richter , Danilo de Oliveira , Timo Gerkmann

We present Fractional Diffusion Bridge Models (FDBM), a novel generative diffusion bridge framework driven by an approximation of the rich and non-Markovian fractional Brownian motion (fBM). Real stochastic processes exhibit a degree of…

Time series generation is widely used in real-world applications such as simulation, data augmentation, and hypothesis testing. Recently, diffusion models have emerged as the de facto approach to time series generation, enabling diverse…

Machine Learning · Computer Science 2025-12-25 Jinseong Park , Seungyun Lee , Woojin Jeong , Yujin Choi , Jaewook Lee

We propose a novel method for simulating conditioned diffusion processes (diffusion bridges) in Euclidean spaces. By training a neural network to approximate bridge dynamics, our approach eliminates the need for computationally intensive…

Machine Learning · Statistics 2025-06-23 Gefan Yang , Frank van der Meulen , Stefan Sommer

Simulation of conditioned diffusion processes is an essential tool in inference for stochastic processes, data imputation, generative modelling, and geometric statistics. Whilst simulating diffusion bridge processes is already difficult on…

Probability · Mathematics 2024-04-24 Erlend Grong , Karen Habermann , Stefan Sommer

We tackle the problem of sampling from intractable high-dimensional density functions, a fundamental task that often appears in machine learning and statistics. We extend recent sampling-based approaches that leverage controlled stochastic…

Machine Learning · Computer Science 2024-03-12 Dinghuai Zhang , Ricky T. Q. Chen , Cheng-Hao Liu , Aaron Courville , Yoshua Bengio
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