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Inverse problems generally require a regularizer or prior for a good solution. A recent trend is to train a convolutional net to denoise images, and use this net as a prior when solving the inverse problem. Several proposals depend on a…

Computer Vision and Pattern Recognition · Computer Science 2023-07-12 Kyle Luther , H. Sebastian Seung

In this paper, conditional denoising diffusion probabilistic models (DDPMs) are proposed to enhance the data transmission and reconstruction over wireless channels. The underlying mechanism of DDPM is to decompose the data generation…

Information Theory · Computer Science 2024-11-21 Mehdi Letafati , Samad Ali , Matti Latva-aho

Diffusion models have emerged as the de facto choice for generating high-quality visual signals across various domains. However, training a single model to predict noise across various levels poses significant challenges, necessitating…

Computer Vision and Pattern Recognition · Computer Science 2024-11-28 Tiankai Hang , Shuyang Gu , Xin Geng , Baining Guo

In the realm of medical imaging, inverse problems aim to infer high-quality images from incomplete, noisy measurements, with the objective of minimizing expenses and risks to patients in clinical settings. The Diffusion Models have recently…

Image and Video Processing · Electrical Eng. & Systems 2024-04-08 Hossein Askari , Fred Roosta , Hongfu Sun

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

Existing image restoration methods mostly leverage the posterior distribution of natural images. However, they often assume known degradation and also require supervised training, which restricts their adaptation to complex real…

Computer Vision and Pattern Recognition · Computer Science 2023-04-05 Ben Fei , Zhaoyang Lyu , Liang Pan , Junzhe Zhang , Weidong Yang , Tianyue Luo , Bo Zhang , Bo Dai

The gradient discretisation method (GDM) is a generic framework for designing and analysing numerical schemes for diffusion models. In this paper, we study the GDM for the porous medium equation, including fast diffusion and slow diffusion…

Numerical Analysis · Mathematics 2020-04-02 Jerome Droniou , Kim-Ngan Le

It has been recognized that the data generated by the denoising diffusion probabilistic model (DDPM) improves adversarial training. After two years of rapid development in diffusion models, a question naturally arises: can better diffusion…

Computer Vision and Pattern Recognition · Computer Science 2023-06-02 Zekai Wang , Tianyu Pang , Chao Du , Min Lin , Weiwei Liu , Shuicheng Yan

Diffusion models have garnered significant attention since they can effectively learn complex multivariate Gaussian distributions, resulting in diverse, high-quality outcomes. They introduce Gaussian noise into training data and reconstruct…

Computer Vision and Pattern Recognition · Computer Science 2023-12-27 Vidya Prasad , Chen Zhu-Tian , Anna Vilanova , Hanspeter Pfister , Nicola Pezzotti , Hendrik Strobelt

Accurate dose distribution prediction is crucial in the radiotherapy planning. Although previous methods based on convolutional neural network have shown promising performance, they have the problem of over-smoothing, leading to prediction…

Image and Video Processing · Electrical Eng. & Systems 2024-10-31 Xin Liao , Zhenghao Feng , Jianghong Xiao , Xingchen Peng , Yan Wang

Practical diffusion sampling is a numerical approximation problem: under a fixed inference budget, one must simulate a reverse-time ODE or SDE using only a limited number of denoising steps, so discretization error is often the dominant…

Machine Learning · Computer Science 2026-05-12 Samuel Hurault , Thomas Moreau , Gabriel Peyré

Diffusion models are emerging expressive generative models, in which a large number of time steps (inference steps) are required for a single image generation. To accelerate such tedious process, reducing steps uniformly is considered as an…

Computer Vision and Pattern Recognition · Computer Science 2023-09-26 Lijiang Li , Huixia Li , Xiawu Zheng , Jie Wu , Xuefeng Xiao , Rui Wang , Min Zheng , Xin Pan , Fei Chao , Rongrong Ji

Diffusion models (DM) can gradually learn to remove noise, which have been widely used in artificial intelligence generated content (AIGC) in recent years. The property of DM for eliminating noise leads us to wonder whether DM can be…

Information Theory · Computer Science 2023-09-19 Tong Wu , Zhiyong Chen , Dazhi He , Liang Qian , Yin Xu , Meixia Tao , Wenjun Zhang

This paper introduces a novel speech enhancement (SE) approach based on a denoising diffusion probabilistic model (DDPM), termed Guided diffusion for speech enhancement (GDiffuSE). In contrast to conventional methods that directly map noisy…

Sound · Computer Science 2026-03-03 Efrayim Yanir , David Burshtein , Sharon Gannot

In this paper, we introduce an innovative NLP model specifically fine-tuned to determine the minimal number of denoising steps required for any given text prompt. This advanced model serves as a real-time tool that recommends the ideal…

Computer Vision and Pattern Recognition · Computer Science 2024-08-06 Jean Yu , Haim Barad

Denoising diffusion probabilistic models (DDPMs) (Ho et al. 2020) have shown impressive results on image and waveform generation in continuous state spaces. Here, we introduce Discrete Denoising Diffusion Probabilistic Models (D3PMs),…

Machine Learning · Computer Science 2023-02-23 Jacob Austin , Daniel D. Johnson , Jonathan Ho , Daniel Tarlow , Rianne van den Berg

Denoising diffusion models have shown great potential in multiple research areas. Existing diffusion-based generative methods on de novo 3D molecule generation face two major challenges. Since majority heavy atoms in molecules allow…

Machine Learning · Computer Science 2024-04-23 Can Xu , Haosen Wang , Weigang Wang , Pengfei Zheng , Hongyang Chen

Many self-supervised denoising approaches have been proposed in recent years. However, these methods tend to overly smooth images, resulting in the loss of fine structures that are essential for medical applications. In this paper, we…

Image and Video Processing · Electrical Eng. & Systems 2025-04-02 Basar Demir , Yikang Liu , Xiao Chen , Eric Z. Chen , Lin Zhao , Boris Mailhe , Terrence Chen , Shanhui Sun

Diffusion magnetic resonance imaging datasets suffer from low Signal-to-Noise Ratio, especially at high b-values. Acquiring data at high b-values contains relevant information and is now of great interest for microstructural and…

Computer Vision and Pattern Recognition · Computer Science 2016-06-27 Samuel St-Jean , Pierrick Coupé , Maxime Descoteaux

Diffusion models have achieved remarkable success in generating samples from unknown data distributions. Most popular stochastic differential equation-based diffusion models perturb the target distribution by adding Gaussian noise,…

Machine Learning · Statistics 2026-05-20 Wenpin Tang , Nizar Touzi , Zikun Zhang , Xun Yu Zhou