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A class of generative models that unifies flow-based and diffusion-based methods is introduced. These models extend the framework proposed in Albergo and Vanden-Eijnden (2023), enabling the use of a broad class of continuous-time stochastic…

Machine Learning · Computer Science 2025-10-10 Michael S. Albergo , Nicholas M. Boffi , Eric Vanden-Eijnden

Despite Flow Matching and diffusion models having emerged as powerful generative paradigms for continuous variables such as images and videos, their application to high-dimensional discrete data, such as language, is still limited. In this…

Machine Learning · Computer Science 2024-11-06 Itai Gat , Tal Remez , Neta Shaul , Felix Kreuk , Ricky T. Q. Chen , Gabriel Synnaeve , Yossi Adi , Yaron Lipman

This paper aims to conduct a comprehensive theoretical analysis of current diffusion models. We introduce a novel generative learning methodology utilizing the Schr{\"o}dinger bridge diffusion model in latent space as the framework for…

Machine Learning · Statistics 2024-12-24 Yuling Jiao , Lican Kang , Huazhen Lin , Jin Liu , Heng Zuo

Diffusion-based generative models have achieved promising results recently, but raise an array of open questions in terms of conceptual understanding, theoretical analysis, algorithm improvement and extensions to discrete, structured,…

Machine Learning · Computer Science 2022-09-01 Xingchao Liu , Lemeng Wu , Mao Ye , Qiang Liu

In this work, we build upon our previous publication and use diffusion-based generative models for speech enhancement. We present a detailed overview of the diffusion process that is based on a stochastic differential equation and delve…

Audio and Speech Processing · Electrical Eng. & Systems 2025-10-14 Julius Richter , Simon Welker , Jean-Marie Lemercier , Bunlong Lay , Timo Gerkmann

The prevailing method for neural speech enhancement predominantly utilizes fully-supervised deep learning with simulated pairs of far-field noisy-reverberant speech and clean speech. Nonetheless, these models frequently demonstrate…

Audio and Speech Processing · Electrical Eng. & Systems 2025-04-16 Tong Lei , Qinwen Hu , Ziyao Lin , Andong Li , Rilin Chen , Meng Yu , Dong Yu , Jing Lu

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

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

Speech enhancement(SE) aims to recover clean speech from noisy recordings. Although generative approaches such as score matching and Schrodinger bridge have shown strong effectiveness, they are often computationally expensive. Flow matching…

Sound · Computer Science 2025-12-12 Liusha Yang , Ziru Ge , Gui Zhang , Junan Zhang , Zhizheng Wu

Online Speech Enhancement was mainly reserved for predictive models. A key advantage of these models is that for an incoming signal frame from a stream of data, the model is called only once for enhancement. In contrast, generative Speech…

Audio and Speech Processing · Electrical Eng. & Systems 2025-10-22 Bunlong Lay , Rostislav Makarov , Simon Welker , Maris Hillemann , Timo Gerkmann

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

The bridge problem is to find an SDE (or sometimes an ODE) that bridges two given distributions. The application areas of the bridge problem are enormous, among which the recent generative modeling (e.g., conditional or unconditional image…

Machine Learning · Computer Science 2025-09-15 Minyoung Kim

Speech enhancement is a critical component of many user-oriented audio applications, yet current systems still suffer from distorted and unnatural outputs. While generative models have shown strong potential in speech synthesis, they are…

Audio and Speech Processing · Electrical Eng. & Systems 2022-02-11 Yen-Ju Lu , Zhong-Qiu Wang , Shinji Watanabe , Alexander Richard , Cheng Yu , Yu Tsao

Diffusion models have shown promising results in speech enhancement, using a task-adapted diffusion process for the conditional generation of clean speech given a noisy mixture. However, at test time, the neural network used for score…

Audio and Speech Processing · Electrical Eng. & Systems 2024-01-17 Bunlong Lay , Jean-Marie Lemercier , Julius Richter , Timo Gerkmann

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

Diffusion and flow-based models have become the state of the art for generative AI across a wide range of data modalities, including images, videos, shapes, molecules, music, and more. This tutorial provides a self-contained introduction to…

Machine Learning · Computer Science 2026-03-19 Peter Holderrieth , Ezra Erives

Diffusion models are a class of generative models that have been recently used for speech enhancement with remarkable success but are computationally expensive at inference time. Therefore, these models are impractical for processing…

Audio and Speech Processing · Electrical Eng. & Systems 2025-09-15 Bunlong Lay , Rostislav Makarov , Timo Gerkmann

Flow matching has recently emerged as a powerful paradigm for generative modeling and has been extended to probabilistic time series forecasting in latent spaces. However, the impact of the specific choice of probability path model on…

Machine Learning · Statistics 2025-08-19 Soon Hoe Lim , Yijin Wang , Annan Yu , Emma Hart , Michael W. Mahoney , Xiaoye S. Li , N. Benjamin Erichson

Diffusion models have shown a great ability at bridging the performance gap between predictive and generative approaches for speech enhancement. We have shown that they may even outperform their predictive counterparts for non-additive…

Audio and Speech Processing · Electrical Eng. & Systems 2024-03-13 Jean-Marie Lemercier , Julius Richter , Simon Welker , Timo Gerkmann

Diffusion models have attracted a lot of attention in recent years. These models view speech generation as a continuous-time process. For efficient training, this process is typically restricted to additive Gaussian noising, which is…

Machine Learning · Computer Science 2025-10-14 Xiaozhou Tan , Minghui Zhao , Anton Ragni