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Score-based generative models are a popular class of generative modelling techniques relying on stochastic differential equations (SDE). From their inception, it was realized that it was also possible to perform generation using ordinary…

Machine Learning · Statistics 2024-02-13 Joe Benton , George Deligiannidis , Arnaud Doucet

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

Drawing from the theory of stochastic differential equations, we introduce a novel sampling method for known distributions and a new algorithm for diffusion generative models with unknown distributions. Our approach is inspired by the…

Statistics Theory · Mathematics 2024-07-12 Xicheng Zhang

Diffusion-based stylization methods typically denoise from a specific partial noise state for image-to-image and video-to-video tasks. This multi-step diffusion process is computationally expensive and hinders real-world application. A…

Computer Vision and Pattern Recognition · Computer Science 2024-12-30 Sijie Xu , Runqi Wang , Wei Zhu , Dejia Song , Nemo Chen , Xu Tang , Yao Hu

Recent hybrid video generation models combine autoregressive temporal dynamics with diffusion-based spatial denoising, but their sequential, iterative nature leads to error accumulation and long inference times. In this work, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2026-03-19 Yongqi Yang , Huayang Huang , Xu Peng , Xiaobin Hu , Donghao Luo , Jiangning Zhang , Chengjie Wang , Yu Wu

We propose DiffSep, a new single channel source separation method based on score-matching of a stochastic differential equation (SDE). We craft a tailored continuous time diffusion-mixing process starting from the separated sources and…

Audio and Speech Processing · Electrical Eng. & Systems 2022-11-03 Robin Scheibler , Youna Ji , Soo-Whan Chung , Jaeuk Byun , Soyeon Choe , Min-Seok Choi

Score-based (denoising diffusion) generative models have recently gained a lot of success in generating realistic and diverse data. These approaches define a forward diffusion process for transforming data to noise and generate data by…

Machine Learning · Computer Science 2021-06-01 Alexia Jolicoeur-Martineau , Ke Li , Rémi Piché-Taillefer , Tal Kachman , Ioannis Mitliagkas

Diffusion models have achieved state-of-the-art results in generative modelling but remain computationally intensive at inference time, often requiring thousands of discretization steps. To this end, we propose Sig-DEG (Signature-based…

Machine Learning · Computer Science 2025-08-26 Lei Jiang , Wen Ge , Niels Cariou-Kotlarek , Mingxuan Yi , Po-Yu Chen , Lingyi Yang , Francois Buet-Golfouse , Gaurav Mittal , Hao Ni

Diffusion models suffer from slow sample generation at inference time. Therefore, developing a principled framework for fast deterministic/stochastic sampling for a broader class of diffusion models is a promising direction. We propose two…

Machine Learning · Computer Science 2023-10-13 Kushagra Pandey , Maja Rudolph , Stephan Mandt

Stochastic differential equations (SDEs) using jump-diffusion processes describe many natural phenomena at the microscopic level. Since they are commonly used to model economic and financial evolutions, the calibration and optimal control…

Optimization and Control · Mathematics 2025-05-08 Jan Bartsch , Alfio Borzi , Gabriele Ciaramella , Jan Reichle

Diffusion models (DMs) have shown promising results on single-image super-resolution and other image-to-image translation tasks. Benefiting from more computational resources and longer inference times, they are able to yield more realistic…

Computer Vision and Pattern Recognition · Computer Science 2024-10-24 Yuanting Fan , Chengxu Liu , Nengzhong Yin , Changlong Gao , Xueming Qian

Standard Latent Diffusion Models rely on a complex, three-part architecture consisting of a separate encoder, decoder, and diffusion network, which are trained in multiple stages. This modular design is computationally inefficient, leads to…

Computer Vision and Pattern Recognition · Computer Science 2025-11-19 Xiyuan Wang , Muhan Zhang

While diffusion models effectively generate remarkable synthetic images, a key limitation is the inference inefficiency, requiring numerous sampling steps. To accelerate inference and maintain high-quality synthesis, teacher-student…

Computer Vision and Pattern Recognition · Computer Science 2024-05-27 Chi Hong , Jiyue Huang , Robert Birke , Dick Epema , Stefanie Roos , Lydia Y. Chen

The ability of the deep learning model to recognize when a sample falls outside its learned distribution is critical for safe and reliable deployment. Recent state-of-the-art out-of-distribution (OOD) detection methods leverage activation…

Computer Vision and Pattern Recognition · Computer Science 2026-01-29 Sudarshan Regmi

This paper introduces a new approach to generating sample paths of unknown Markovian stochastic differential equations (SDEs) using diffusion models, a class of generative AI methods commonly employed in image and video applications. Unlike…

Machine Learning · Computer Science 2026-03-17 Xuefeng Gao , Jiale Zha , Xun Yu Zhou

We study the problem of training diffusion and flow generative models to sample from target distributions defined by an exponential tilting of a base density; a formulation that subsumes both sampling from unnormalized densities and reward…

Machine Learning · Statistics 2026-05-04 Carles Domingo-Enrich , Yuanqi Du , Michael S. Albergo

We introduce a novel paradigm for learning non-parametric drift and diffusion functions for stochastic differential equation (SDE). The proposed model learns to simulate path distributions that match observations with non-uniform time…

Machine Learning · Statistics 2018-08-01 Cagatay Yildiz , Markus Heinonen , Jukka Intosalmi , Henrik Mannerström , Harri Lähdesmäki

Diffusion (score-based) generative models have been widely used for modeling various types of complex data, including images, audios, and point clouds. Recently, the deep connection between forward-backward stochastic differential equations…

Machine Learning · Computer Science 2022-06-22 Weitao Du , Tao Yang , He Zhang , Yuanqi Du

We introduce a general framework for solving partial differential equations (PDEs) using generative diffusion models. In particular, we focus on the scenarios where we do not have the full knowledge of the scene necessary to apply classical…

Machine Learning · Computer Science 2024-11-04 Jiahe Huang , Guandao Yang , Zichen Wang , Jeong Joon Park

Although diffusion model has shown great potential for generating higher quality images than GANs, slow sampling speed hinders its wide application in practice. Progressive distillation is thus proposed for fast sampling by progressively…

Computer Vision and Pattern Recognition · Computer Science 2023-03-15 Wujie Sun , Defang Chen , Can Wang , Deshi Ye , Yan Feng , Chun Chen
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