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We propose a framework to perform Bayesian inference using conditional score-based diffusion models to solve a class of inverse problems in mechanics involving the inference of a specimen's spatially varying material properties from noisy…

A diffusion probabilistic model (DPM), which constructs a forward diffusion process by gradually adding noise to data points and learns the reverse denoising process to generate new samples, has been shown to handle complex data…

Computer Vision and Pattern Recognition · Computer Science 2023-10-16 Zhengxiong Luo , Dayou Chen , Yingya Zhang , Yan Huang , Liang Wang , Yujun Shen , Deli Zhao , Jingren Zhou , Tieniu Tan

Image denoising has achieved unprecedented progress as great efforts have been made to exploit effective deep denoisers. To improve the denoising performance in realworld, two typical solutions are used in recent trends: devising better…

Image and Video Processing · Electrical Eng. & Systems 2022-04-06 Yunhao Zou , Ying Fu

Generative diffusion processes are an emerging and effective tool for image and speech generation. In the existing methods, the underline noise distribution of the diffusion process is Gaussian noise. However, fitting distributions with…

Machine Learning · Computer Science 2021-06-17 Eliya Nachmani , Robin San Roman , Lior Wolf

Recently, diffusion models have been used to solve various inverse problems in an unsupervised manner with appropriate modifications to the sampling process. However, the current solvers, which recursively apply a reverse diffusion step…

Machine Learning · Computer Science 2024-05-21 Hyungjin Chung , Byeongsu Sim , Dohoon Ryu , Jong Chul Ye

Many complex systems are described by Langevin-type equations in which the noise exhibits long-range correlations and couples to the system in a state-dependent, multiplicative manner, leading to heterogeneous non-Markovian diffusion. Here,…

Statistical Mechanics · Physics 2026-05-13 David Santiago Quevedo , Felipe Segundo Abril-Bermúdez , Cristiane Morais Smith

Diffusion models have garnered considerable interest in computer vision, owing both to their capacity to synthesize photorealistic images and to their proven effectiveness in image reconstruction tasks. However, existing approaches fail to…

Computer Vision and Pattern Recognition · Computer Science 2025-03-20 Jonas Dornbusch , Emanuel Pfarr , Florin-Alexandru Vasluianu , Frank Werner , Radu Timofte

Ultrasound imaging is an incontestable vital tool for diagnosis, it provides in non-invasive manner the internal structure of the body to detect eventually diseases or abnormalities tissues. Unfortunately, the presence of speckle noise in…

Computer Vision and Pattern Recognition · Computer Science 2013-05-08 Faouzi Benzarti , Hamid Amiri

Discrete diffusion models are a powerful class of generative models with strong performance across many domains. For efficiency, however, discrete diffusion typically parameterizes the generative (reverse) process with factorized…

Machine Learning · Statistics 2026-05-19 Grigory Bartosh , Teodora Pandeva , Sushrut Karmalkar , Javier Zazo

Generative diffusion models can provide powerful prior probability models for inverse problems in imaging, but existing implementations suffer from two key limitations: $(i)$ the prior density is represented implicitly, and $(ii)$ they rely…

Machine Learning · Computer Science 2026-05-19 Nicolas Zilberstein , Santiago Segarra , Eero Simoncelli , Florentin Guth

Denoising diffusion models are a recent class of generative models exhibiting state-of-the-art performance in image and audio synthesis. Such models approximate the time-reversal of a forward noising process from a target distribution to a…

Machine Learning · Statistics 2023-05-30 Valentin De Bortoli

Denoising diffusion models are a powerful type of generative models used to capture complex distributions of real-world signals. However, their applicability is limited to scenarios where training samples are readily available, which is not…

Computer Vision and Pattern Recognition · Computer Science 2023-11-20 Ayush Tewari , Tianwei Yin , George Cazenavette , Semon Rezchikov , Joshua B. Tenenbaum , Frédo Durand , William T. Freeman , Vincent Sitzmann

Imaging inverse problems can be solved in an unsupervised manner using pre-trained diffusion models, but doing so requires approximating the gradient of the measurement-conditional score function in the diffusion reverse process. We show…

Computer Vision and Pattern Recognition · Computer Science 2025-08-28 Matt C. Bendel , Saurav K. Shastri , Rizwan Ahmad , Philip Schniter

Given a factorization of an image into a sum of linear components, we present a zero-shot method to control each individual component through diffusion model sampling. For example, we can decompose an image into low and high spatial…

Computer Vision and Pattern Recognition · Computer Science 2025-01-13 Daniel Geng , Inbum Park , Andrew Owens

Methods based on diffusion models (DMs) for solving inverse problems (IPs) have recently achieved remarkable performance. However, DM-based methods typically struggle against outliers, which are common in real-world measurements. In this…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Yang Zheng , Jiahua Liu , Tongyao Pang , Wen Li , Zhaoqiang Liu

Recent advancements in text-guided diffusion models have unlocked powerful image manipulation capabilities. However, applying these methods to real images necessitates the inversion of the images into the domain of the pretrained diffusion…

Computer Vision and Pattern Recognition · Computer Science 2024-03-22 Daniel Garibi , Or Patashnik , Andrey Voynov , Hadar Averbuch-Elor , Daniel Cohen-Or

Denoising diffusion models have emerged as a powerful tool for various image generation and editing tasks, facilitating the synthesis of visual content in an unconditional or input-conditional manner. The core idea behind them is learning…

Computer Vision and Pattern Recognition · Computer Science 2025-03-12 Yi Huang , Jiancheng Huang , Yifan Liu , Mingfu Yan , Jiaxi Lv , Jianzhuang Liu , Wei Xiong , He Zhang , Liangliang Cao , Shifeng Chen

Real-world image noise removal is a long-standing yet very challenging task in computer vision. The success of deep neural network in denoising stimulates the research of noise generation, aiming at synthesizing more clean-noisy image pairs…

Computer Vision and Pattern Recognition · Computer Science 2020-07-14 Zongsheng Yue , Qian Zhao , Lei Zhang , Deyu Meng

Currently, applying diffusion models in pixel space of high resolution images is difficult. Instead, existing approaches focus on diffusion in lower dimensional spaces (latent diffusion), or have multiple super-resolution levels of…

Computer Vision and Pattern Recognition · Computer Science 2023-12-13 Emiel Hoogeboom , Jonathan Heek , Tim Salimans

Spatial mode demultiplexing was proved to be a successful tool for estimation of the separation between incoherent sources, allowing for sensitivity much below the Rayleigh limit. However, with the presence of measurement's noise,…

Quantum Physics · Physics 2024-07-23 Fattah Sakuldee , Łukasz Rudnicki
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