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Deep neural networks have proven extremely efficient at solving a wide rangeof inverse problems, but most often the uncertainty on the solution they provideis hard to quantify. In this work, we propose a generic Bayesian framework…

Machine Learning · Statistics 2020-11-18 Zaccharie Ramzi , Benjamin Remy , Francois Lanusse , Jean-Luc Starck , Philippe Ciuciu

Underwater vision is crucial for autonomous underwater vehicles (AUVs), and enhancing degraded underwater images in real-time on a resource-constrained AUV is a key challenge due to factors like light absorption and scattering, or the…

Computer Vision and Pattern Recognition · Computer Science 2024-09-30 Nguyen Gia Bach , Chanh Minh Tran , Eiji Kamioka , Phan Xuan Tan

Diffusion probabilistic models (DPM) have been widely adopted in image-to-image translation to generate high-quality images. Prior attempts at applying the DPM to image super-resolution (SR) have shown that iteratively refining a pure…

Image and Video Processing · Electrical Eng. & Systems 2023-02-28 Axi Niu , Kang Zhang , Trung X. Pham , Jinqiu Sun , Yu Zhu , In So Kweon , Yanning Zhang

From a Bayesian perspective, score-based diffusion solves inverse problems through joint inference, embedding the likelihood with the prior to guide the sampling process. However, this formulation fails to explain its practical behavior:…

Artificial Intelligence · Computer Science 2026-05-13 Hao Chen , Renzheng Zhang , Scott S. Howard

Denoising diffusion probabilistic models (DDPMs) represent an entirely new class of generative AI methods that have yet to be fully explored. They use Langevin dynamics, represented as stochastic differential equations, to describe a…

Machine Learning · Statistics 2025-10-21 Benjamin Sterling , Chad Gueli , Mónica F. Bugallo

Diffusion Probabilistic Models (DPMs) have been recently utilized to deal with various blind image restoration (IR) tasks, where they have demonstrated outstanding performance in terms of perceptual quality. However, the task-specific…

Computer Vision and Pattern Recognition · Computer Science 2025-10-07 Magauiya Zhussip , Iaroslav Koshelev , Stamatis Lefkimmiatis

We propose the Binary Diffusion Probabilistic Model (BDPM), a generative framework specifically designed for data representations in binary form. Conventional denoising diffusion probabilistic models (DDPMs) assume continuous inputs, use…

Computer Vision and Pattern Recognition · Computer Science 2025-10-01 Vitaliy Kinakh , Slava Voloshynovskiy

Analysis of galaxy--galaxy strong lensing systems is strongly dependent on any prior assumptions made about the appearance of the source. Here we present a method of imposing a data-driven prior / regularisation for source galaxies based on…

Instrumentation and Methods for Astrophysics · Physics 2022-11-09 Konstantin Karchev , Noemi Anau Montel , Adam Coogan , Christoph Weniger

Comparing images captured by disparate sensors is a common challenge in remote sensing. This requires image translation -- converting imagery from one sensor domain to another while preserving the original content. Denoising Diffusion…

Computer Vision and Pattern Recognition · Computer Science 2024-12-05 João Gabriel Vinholi , Marco Chini , Anis Amziane , Renato Machado , Danilo Silva , Patrick Matgen

Score-based diffusion models, which generate new data by learning to reverse a diffusion process that perturbs data from the target distribution into noise, have achieved remarkable success across various generative tasks. Despite their…

Machine Learning · Computer Science 2025-01-23 Gen Li , Yuling Yan

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

Sampling from score-based diffusion models incurs bias due to both time discretisation and the approximation of the score function. A common strategy for reducing this bias is to apply corrector steps based on the unadjusted Langevin…

Machine Learning · Statistics 2026-05-12 Kevin H. Lam , Tyler Farghly , Christopher Williams , Jun Yang , Yee Whye Teh , Arnaud Doucet

This paper considers blind inverse image restoration, the task of predicting a target image from a degraded source when the degradation (i.e. the forward operator) is unknown. Existing solutions typically rely on restrictive assumptions…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Michail Dontas , Yutong He , Naoki Murata , Yuki Mitsufuji , J. Zico Kolter , Ruslan Salakhutdinov

The success of diffusion models has driven interest in performing conditional sampling via training-free guidance of the denoising process to solve image restoration and other inverse problems. A popular class of methods, based on Diffusion…

Machine Learning · Statistics 2025-06-17 Gregory Bellchambers

Due to various physical degradation factors and limited counts received, PET image quality needs further improvements. The denoising diffusion probabilistic models (DDPM) are distribution learning-based models, which try to transform a…

Image and Video Processing · Electrical Eng. & Systems 2022-09-15 Kuang Gong , Keith A. Johnson , Georges El Fakhri , Quanzheng Li , Tinsu Pan

Diffusion models have recently shown promise as powerful generative priors for inverse problems. However, conventional applications require solving the full reverse diffusion process and operating on noisy intermediate states, which poses…

Geophysics · Physics 2025-06-13 Yuke Xie , Hervé Chauris , Nicolas Desassis

Diffusion models have emerged as powerful priors for image editing tasks such as inpainting and local modification, where the objective is to generate realistic content that remains consistent with observed regions. In particular, zero-shot…

Computer Vision and Pattern Recognition · Computer Science 2026-04-30 Badr Moufad , Navid Bagheri Shouraki , Alain Oliviero Durmus , Thomas Hirtz , Eric Moulines , Jimmy Olsson , Yazid Janati

In supervised image restoration tasks, one key issue is how to obtain the aligned high-quality (HQ) and low-quality (LQ) training image pairs. Unfortunately, such HQ-LQ training pairs are hard to capture in practice, and hard to synthesize…

Computer Vision and Pattern Recognition · Computer Science 2023-03-14 Tao Yang , Peiran Ren , Xuansong xie , Lei Zhang

We propose a novel and unified method, measurement-conditioned denoising diffusion probabilistic model (MC-DDPM), for under-sampled medical image reconstruction based on DDPM. Different from previous works, MC-DDPM is defined in measurement…

Image and Video Processing · Electrical Eng. & Systems 2022-03-09 Yutong Xie , Quanzheng Li

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
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