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Denoising diffusion models (DDMs) have recently attracted increasing attention by showing impressive synthesis quality. DDMs are built on a diffusion process that pushes data to the noise distribution and the models learn to denoise. In…

Machine Learning · Computer Science 2023-05-16 Jaemoo Choi , Yesom Park , Myungjoo Kang

Bayesian models based on Gaussian processes (GPs) offer a flexible framework to predict spatially distributed variables with uncertainty. But the use of nonstationary priors, often necessary for capturing complex spatial patterns, makes…

Machine Learning · Statistics 2025-06-02 Gabriel V Cardoso , Mike Pereira

We develop a Bayesian inference method for diffusions observed discretely and with noise, which is free of discretisation bias. Unlike existing unbiased inference methods, our method does not rely on exact simulation techniques. Instead,…

Methodology · Statistics 2021-03-10 Neil K. Chada , Jordan Franks , Ajay Jasra , Kody J. H. Law , Matti Vihola

Diffusion models are capable of impressive feats of image generation with uncommon juxtapositions such as astronauts riding horses on the moon with properly placed shadows. These outputs indicate the ability to perform compositional…

Machine Learning · Computer Science 2024-05-01 Qiyao Liang , Ziming Liu , Ila Fiete

We suggest an explanation of typical incubation times statistical features based on the universal behavior of exit times for diffusion models. We give a mathematically rigorous proof of the characteristic right skewness of the incubation…

Quantitative Methods · Quantitative Biology 2018-04-18 Yuri Bakhtin

While learned image compression (LIC) focuses on efficient data transmission, generative image compression (GIC) extends this framework by integrating generative modeling to produce photo-realistic reconstructed images. In this paper, we…

Image and Video Processing · Electrical Eng. & Systems 2025-05-28 Minghao Han , Weiyi You , Jinhua Zhang , Leheng Zhang , Ce Zhu , Shuhang Gu

This work studies discrete diffusion probabilistic models with applications to natural language generation. We derive an alternative yet equivalent formulation of the sampling from discrete diffusion processes and leverage this insight to…

Computation and Language · Computer Science 2024-08-05 Lin Zheng , Jianbo Yuan , Lei Yu , Lingpeng Kong

Diffusion models are a powerful class of generative models capable of producing high-quality images from pure noise using a simple text prompt. While most methods which introduce additional spatial constraints into the generated images…

Computer Vision and Pattern Recognition · Computer Science 2024-09-18 Zakaria Patel , Kirill Serkh

Diffusion models have emerged as a promising alternative to autoregressive models in modeling discrete categorical data. However, diffusion models that directly work on discrete data space fail to fully exploit the power of iterative…

Machine Learning · Computer Science 2025-10-24 Jaehyeong Jo , Sung Ju Hwang

Diffusion models have shown promising results for a wide range of generative tasks with continuous data, such as image and audio synthesis. However, little progress has been made on using diffusion models to generate discrete symbolic music…

Sound · Computer Science 2023-10-24 Jincheng Zhang , György Fazekas , Charalampos Saitis

This work presents a forward-only diffusion (FoD) approach for generative modelling. In contrast to traditional diffusion models that rely on a coupled forward-backward diffusion scheme, FoD directly learns data generation through a single…

Machine Learning · Computer Science 2025-09-29 Ziwei Luo , Fredrik K. Gustafsson , Jens Sjölund , Thomas B. Schön

We provide the first complete continuous time framework for denoising diffusion models of discrete data. This is achieved by formulating the forward noising process and corresponding reverse time generative process as Continuous Time Markov…

Deep generative models have garnered significant attention in low-level vision tasks due to their generative capabilities. Among them, diffusion model-based solutions, characterized by a forward diffusion process and a reverse denoising…

Computer Vision and Pattern Recognition · Computer Science 2025-02-26 Chunming He , Yuqi Shen , Chengyu Fang , Fengyang Xiao , Longxiang Tang , Yulun Zhang , Wangmeng Zuo , Zhenhua Guo , Xiu Li

Diffusion models are a new class of generative models that have shown outstanding performance in image generation literature. As a consequence, studies have attempted to apply diffusion models to other tasks, such as speech enhancement. A…

Audio and Speech Processing · Electrical Eng. & Systems 2024-10-10 Philippe Gonzalez , Zheng-Hua Tan , Jan Østergaard , Jesper Jensen , Tommy Sonne Alstrøm , Tobias May

Diffusion models have achieved state-of-the-art results on many modalities including images, speech, and video. However, existing models are not tailored to support remote sensing data, which is widely used in important applications…

Computer Vision and Pattern Recognition · Computer Science 2024-05-28 Samar Khanna , Patrick Liu , Linqi Zhou , Chenlin Meng , Robin Rombach , Marshall Burke , David Lobell , Stefano Ermon

We develop a class of non-Gaussian translation processes that extend classical stochastic differential equations (SDEs) by prescribing arbitrary absolutely continuous marginal distributions. Our approach uses a copula-based transformation…

Statistics Theory · Mathematics 2025-08-06 Robert Richardson , H. Dennis Tolley , Kenneth Kuttler

Diffusion models generate samples through an iterative denoising process, guided by a neural network. While training the denoiser on real-world data is computationally demanding, the sampling procedure itself is more flexible. This…

Machine Learning · Computer Science 2026-02-10 Constant Bourdrez , Alexandre Vérine , Olivier Cappé

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 learn to reverse the progressive noising of a data distribution to create a generative model. However, the desired continuous nature of the noising process can be at odds with discrete data. To deal with this tension…

Machine Learning · Computer Science 2023-09-13 Griffin Floto , Thorsteinn Jonsson , Mihai Nica , Scott Sanner , Eric Zhengyu Zhu

Generative diffusion models have recently emerged as a leading approach for generating high-dimensional data. In this paper, we show that the dynamics of these models exhibit a spontaneous symmetry breaking that divides the generative…

Machine Learning · Computer Science 2023-10-27 Gabriel Raya , Luca Ambrogioni
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