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Accelerating magnetic resonance imaging (MRI) remains challenging, particularly under realistic acquisition noise. While diffusion models have recently shown promise for reconstructing undersampled MRI data, many approaches lack an explicit…

Image and Video Processing · Electrical Eng. & Systems 2026-02-06 Nikola Janjušević , Amirhossein Khalilian-Gourtani , Yao Wang , Li Feng

The performance of optimization-based robot motion planning algorithms is highly dependent on the initial solutions, commonly obtained by running a sampling-based planner to obtain a collision-free path. However, these methods can be slow…

Robotics · Computer Science 2025-08-15 J. Carvalho , A. Le , P. Kicki , D. Koert , J. Peters

We present a randomized maximum a posteriori (rMAP) method for generating approximate samples of posteriors in high dimensional Bayesian inverse problems governed by large-scale forward problems. We derive the rMAP approach by: 1) casting…

Computation · Statistics 2016-02-12 Kainan Wang , Tan Bui-Thanh , Omar Ghattas

This work investigates both direct and inverse problems of the variable-exponent sub-diffusion model, which attracts increasing attentions in both practical applications and theoretical aspects. Based on the perturbation method, which…

Numerical Analysis · Mathematics 2025-01-31 Zhiyuan Li , Chunlong Sun , Xiangcheng Zheng

Recently, diffusion models (DMs) have been increasingly used in audio processing tasks, including speech super-resolution (SR), which aims to restore high-frequency content given low-resolution speech utterances. This is commonly achieved…

Audio and Speech Processing · Electrical Eng. & Systems 2024-10-22 Chin-Yun Yu , Sung-Lin Yeh , György Fazekas , Hao Tang

In recent years, the ascendance of diffusion modeling as a state-of-the-art generative modeling approach has spurred significant interest in their use as priors in Bayesian inverse problems. However, it is unclear how to optimally integrate…

Optimization and Control · Mathematics 2025-08-28 Evan Scope Crafts , Umberto Villa

In many inverse problems such as 3D X-ray Computed Tomography (CT), the estimation of an unknown quantity, such as a volume or an image, can be greatly enhanced, compared to maximum-likelihood techniques, by incorporating a prior model on…

Computation · Statistics 2018-09-03 Camille Chapdelaine

Model inversion attacks (MIAs) aim to reconstruct private images from a target classifier's training set, thereby raising privacy concerns in AI applications. Previous GAN-based MIAs tend to suffer from inferior generative fidelity due to…

Computer Vision and Pattern Recognition · Computer Science 2024-11-22 Ouxiang Li , Yanbin Hao , Zhicai Wang , Bin Zhu , Shuo Wang , Zaixi Zhang , Fuli Feng

Diffusion-based posterior sampling (PS) is a leading framework for imaging inverse problems, combining learned priors with measurement constraints. Yet, its standard formulations rely on instantaneous data-consistent estimates, which induce…

Computer Vision and Pattern Recognition · Computer Science 2026-05-14 Davide Evangelista , Elena Morotti , Francesco Pivi , Maurizio Gabbrielli

Inverse problems are pervasive mathematical methods in inferring knowledge from observational and experimental data by leveraging simulations and models. Unlike direct inference methods, inverse problem approaches typically require many…

Computational Physics · Physics 2019-12-20 Sheroze Sheriffdeen , Jean C. Ragusa , Jim E. Morel , Marvin L. Adams , Tan Bui-Thanh

Recovering a signal from its degraded measurements is a long standing challenge in science and engineering. Recently, zero-shot diffusion based methods have been proposed for such inverse problems, offering a posterior sampling based…

Machine Learning · Computer Science 2026-05-19 Roi Benita , Michael Elad , Joseph Keshet

This paper aims to address the unsupervised video anomaly detection (VAD) problem, which involves classifying each frame in a video as normal or abnormal, without any access to labels. To accomplish this, the proposed method employs…

Computer Vision and Pattern Recognition · Computer Science 2023-07-20 Anil Osman Tur , Nicola Dall'Asen , Cigdem Beyan , Elisa Ricci

Diffusion models can be used as learned priors for solving various inverse problems. However, most existing approaches are restricted to linear inverse problems, limiting their applicability to more general cases. In this paper, we build…

Image and Video Processing · Electrical Eng. & Systems 2022-11-28 Bahjat Kawar , Jiaming Song , Stefano Ermon , Michael Elad

Sampling from diffusion probabilistic models (DPMs) can be viewed as a piecewise distribution transformation, which generally requires hundreds or thousands of steps of the inverse diffusion trajectory to get a high-quality image. Recent…

Computer Vision and Pattern Recognition · Computer Science 2023-07-24 Zezeng Li , ShengHao Li , Zhanpeng Wang , Na Lei , Zhongxuan Luo , Xianfeng Gu

Diffusion models have emerged as powerful generative priors for solving inverse imaging problems. However, their practical deployment is hindered by the substantial computational cost of slow, multi-step sampling. Although Consistency…

Image and Video Processing · Electrical Eng. & Systems 2025-12-04 Amirreza Tanevardi , Pooria Abbas Rad Moghadam , Seyed Mohammad Eshtehardian , Sajjad Amini , Babak Khalaj

Regularization of inverse problems is of paramount importance in computational imaging. The ability of neural networks to learn efficient image representations has been recently exploited to design powerful data-driven regularizers. While…

Computer Vision and Pattern Recognition · Computer Science 2025-08-28 Maud Biquard , Marie Chabert , Florence Genin , Christophe Latry , Thomas Oberlin

Recent progress in imitation learning has been enabled by policy architectures that scale to complex visuomotor tasks, multimodal distributions, and large datasets. However, these methods often rely on learning from large amount of expert…

Robotics · Computer Science 2025-04-24 Amber Xie , Oleh Rybkin , Dorsa Sadigh , Chelsea Finn

Using diffusion models to solve inverse problems is a growing field of research. Current methods assume the degradation to be known and provide impressive results in terms of restoration quality and diversity. In this work, we leverage the…

Computer Vision and Pattern Recognition · Computer Science 2025-06-02 Charles Laroche , Andrés Almansa , Eva Coupete

Recovering high-dimensional signals from corrupted measurements is a central challenge in inverse problems. Recent advances in generative diffusion models have shown remarkable empirical success in providing strong data-driven priors, but…

Machine Learning · Computer Science 2025-09-26 Oscar Leong , Yann Traonmilin

As one of the most successful generative models, diffusion models have demonstrated remarkable efficacy in synthesizing high-quality images. These models learn the underlying high-dimensional data distribution in an unsupervised manner.…

Computer Vision and Pattern Recognition · Computer Science 2024-12-12 Min Hou , Yueying Wu , Chang Xu , Yu-Hao Huang , Chenxi Bai , Le Wu , Jiang Bian