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Diffusion models have emerged as a key pillar of foundation models in visual domains. One of their critical applications is to universally solve different downstream inverse tasks via a single diffusion prior without re-training for each…

机器学习 · 计算机科学 2023-10-03 Morteza Mardani , Jiaming Song , Jan Kautz , Arash Vahdat

Inverse problems lie at the heart of modern imaging science, with broad applications in areas such as medical imaging, remote sensing, and microscopy. Recent years have witnessed a paradigm shift in solving imaging inverse problems, where…

最优化与控制 · 数学 2025-11-20 Hong Ye Tan , Subhadip Mukherjee , Junqi Tang

The effectiveness of denoising-driven regularization for image reconstruction has been widely recognized. Two prominent algorithms in this area are Plug-and-Play ($\texttt{PnP}$) and Regularization-by-Denoising ($\texttt{RED}$). We consider…

最优化与控制 · 数学 2024-11-19 Arghya Sinha , Kunal N. Chaudhury

Plug-and-Play methods for image restoration are iterative algorithms that solve a variational problem to recover a clean image from a degraded observation. These algorithms are known to be flexible to changes of degradation and to perform…

图像与视频处理 · 电气工程与系统科学 2025-03-03 Marien Renaud , Julien Hermant , Nicolas Papadakis

The emergence of deep-learning-based methods to solve image-reconstruction problems has enabled a significant increase in reconstruction quality. Unfortunately, these new methods often lack reliability and explainability, and there is a…

图像与视频处理 · 电气工程与系统科学 2023-08-28 Alexis Goujon , Sebastian Neumayer , Pakshal Bohra , Stanislas Ducotterd , Michael Unser

Plug-and-Play (PnP) and Regularization-by-Denoising (RED) are recent paradigms for image reconstruction that leverage the power of modern denoisers for image regularization. In particular, they have been shown to deliver state-of-the-art…

图像与视频处理 · 电气工程与系统科学 2024-02-27 Pravin Nair , Kunal N. Chaudhury

In this paper we present a generalized Deep Learning-based approach for solving ill-posed large-scale inverse problems occuring in medical image reconstruction. Recently, Deep Learning methods using iterative neural networks and cascaded…

图像与视频处理 · 电气工程与系统科学 2020-08-26 Andreas Kofler , Markus Haltmeier , Tobias Schaeffter , Marc Kachelrieß , Marc Dewey , Christian Wald , Christoph Kolbitsch

Plug-and-play priors (PnP) is a powerful framework for regularizing imaging inverse problems by using advanced denoisers within an iterative algorithm. Recent experimental evidence suggests that PnP algorithms achieve state-of-the-art…

计算机视觉与模式识别 · 计算机科学 2021-03-25 Yu Sun , Brendt Wohlberg , Ulugbek S. Kamilov

Phase retrieval algorithms have become an important component in many modern computational imaging systems. For instance, in the context of ptychography and speckle correlation imaging, they enable imaging past the diffraction limit and…

Deep learning methods have been successfully used in various computer vision tasks. Inspired by that success, deep learning has been explored in magnetic resonance imaging (MRI) reconstruction. In particular, integrating deep learning and…

图像与视频处理 · 电气工程与系统科学 2023-10-06 Peizhou Huang , Chaoyi Zhang , Xiaoliang Zhang , Xiaojuan Li , Liang Dong , Leslie Ying

Inverse problems arise in a variety of imaging applications including computed tomography, non-destructive testing, and remote sensing. The characteristic features of inverse problems are the non-uniqueness and instability of their…

数值分析 · 数学 2020-06-09 Markus Haltmeier , Linh V. Nguyen

Phase retrieval is the nonlinear inverse problem of recovering a true signal from its Fourier magnitude measurements. It arises in many applications such as astronomical imaging, X-Ray crystallography, microscopy, and more. The problem is…

计算机视觉与模式识别 · 计算机科学 2023-05-11 Rohun Agrawal , Oscar Leong

Positron emission tomography (PET) reconstruction has become an ill-posed inverse problem due to low-count projection data, and a robust algorithm is urgently required to improve imaging quality. Recently, the deep image prior (DIP) has…

图像与视频处理 · 电气工程与系统科学 2021-11-01 Chenyu Shen , Wenjun Xia , Hongwei Ye , Mingzheng Hou , Hu Chen , Yan Liu , Jiliu Zhou , Yi Zhang

It has been well recognized that neural network based image classifiers are easily fooled by images with tiny perturbations crafted by an adversary. There has been a vast volume of research to generate and defend such adversarial attacks.…

计算机视觉与模式识别 · 计算机科学 2022-04-04 Yifan Gong , Yuguang Yao , Yize Li , Yimeng Zhang , Xiaoming Liu , Xue Lin , Sijia Liu

Partial differential equation (PDE)-governed inverse problems are fundamental across various scientific and engineering applications; yet they face significant challenges due to nonlinearity, ill-posedness, and sensitivity to noise. Here,…

机器学习 · 计算机科学 2026-03-03 Siming Shan , Min Zhu , Youzuo Lin , Lu Lu

The advancement of imaging devices and countless images generated everyday pose an increasingly high demand on image denoising, which still remains a challenging task in terms of both effectiveness and efficiency. To improve denoising…

图像与视频处理 · 电气工程与系统科学 2023-05-10 Zhaoming Kong , Fangxi Deng , Haomin Zhuang , Jun Yu , Lifang He , Xiaowei Yang

We introduce a new algorithm for regularized reconstruction of multispectral (MS) images from noisy linear measurements. Unlike traditional approaches, the proposed algorithm regularizes the recovery problem by using a prior specified…

图像与视频处理 · 电气工程与系统科学 2019-09-23 Jiaming Liu , Yu Sun , Ulugbek S. Kamilov

One key ingredient of image restoration is to define a realistic prior on clean images to complete the missing information in the observation. State-of-the-art restoration methods rely on a neural network to encode this prior. Moreover,…

图像与视频处理 · 电气工程与系统科学 2025-03-03 Marien Renaud , Arthur Leclaire , Nicolas Papadakis

Max-norm regularizer has been extensively studied in the last decade as it promotes an effective low-rank estimation for the underlying data. However, such max-norm regularized problems are typically formulated and solved in a batch manner,…

机器学习 · 统计学 2016-05-17 Jie Shen , Huan Xu , Ping Li

While variational methods have been among the most powerful tools for solving linear inverse problems in imaging, deep (convolutional) neural networks have recently taken the lead in many challenging benchmarks. A remaining drawback of deep…

计算机视觉与模式识别 · 计算机科学 2019-08-20 Tim Meinhardt , Michael Moeller , Caner Hazirbas , Daniel Cremers