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Fully supervised deep-learning based denoisers are currently the most performing image denoising solutions. However, they require clean reference images. When the target noise is complex, e.g. composed of an unknown mixture of primary…

Image and Video Processing · Electrical Eng. & Systems 2020-08-03 Florian Lemarchand , Erwan Nogues , Maxime Pelcat

Primal-dual methods for solving convex optimization problems with functional constraints often exhibit a distinct two-stage behavior. Initially, they converge towards a solution at a sublinear rate. Then, after a certain point, the method…

Optimization and Control · Mathematics 2026-02-12 Mateo Díaz , Pedro Izquierdo Lehmann , Haihao Lu , Jinwen Yang

Non-local self similarity (NSS) is a powerful prior of natural images for image denoising. Most of existing denoising methods employ similar patches, which is a patch-level NSS prior. In this paper, we take one step forward by introducing a…

Computer Vision and Pattern Recognition · Computer Science 2020-04-22 Yingkun Hou , Jun Xu , Mingxia Liu , Guanghai Liu , Li Liu , Fan Zhu , Ling Shao

Image-based anomaly detection systems are of vital importance in various manufacturing applications. The resolution and acquisition rate of such systems is increasing significantly in recent years under the fast development of image sensing…

Image and Video Processing · Electrical Eng. & Systems 2022-07-19 Shancong Mou , Jianjun Shi

We address the problem of signal denoising and pattern recognition in processing batch-mode time-series data by combining linear time-invariant filters, orthogonal multiresolution representations, and sparsity-based methods. We propose a…

Signal Processing · Electrical Eng. & Systems 2019-06-28 G. V. Prateek , Yo-El Ju , Arye Nehorai

Deep learning methods have shown remarkable performance in image denoising, particularly when trained on large-scale paired datasets. However, acquiring such paired datasets for real-world scenarios poses a significant challenge. Although…

Image and Video Processing · Electrical Eng. & Systems 2023-08-15 Xin Lin , Chao Ren , Xiao Liu , Jie Huang , Yinjie Lei

For the linear inverse problem with sparsity constraints, the $l_0$ regularized problem is NP-hard, and existing approaches either utilize greedy algorithms to find almost-optimal solutions or to approximate the $l_0$ regularization with…

Machine Learning · Computer Science 2024-02-14 Qinghua Tao , Xiangming Xi , Jun Xu , Johan A. K. Suykens

Regularized optimization has been a classical approach to solving imaging inverse problems, where the regularization term enforces desirable properties of the unknown image. Recently, the integration of flow matching generative models into…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Ji Li , Chao Wang

When it comes to image compression in digital cameras, denoising is traditionally performed prior to compression. However, there are applications where image noise may be necessary to demonstrate the trustworthiness of the image, such as…

Image and Video Processing · Electrical Eng. & Systems 2022-09-07 Saeed Ranjbar Alvar , Mateen Ulhaq , Hyomin Choi , Ivan V. Bajić

The truncated singular value decomposition (SVD) of the measurement matrix is the optimal solution to the_representation_ problem of how to best approximate a noisy measurement matrix using a low-rank matrix. Here, we consider the…

Statistics Theory · Mathematics 2014-04-21 Raj Rao Nadakuditi

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…

Image and Video Processing · Electrical Eng. & Systems 2023-05-10 Zhaoming Kong , Fangxi Deng , Haomin Zhuang , Jun Yu , Lifang He , Xiaowei Yang

The field of image denoising is currently dominated by discriminative deep learning methods that are trained on pairs of noisy input and clean target images. Recently it has been shown that such methods can also be trained without clean…

Computer Vision and Pattern Recognition · Computer Science 2019-04-08 Alexander Krull , Tim-Oliver Buchholz , Florian Jug

Recent denoising algorithms based on the "blind-spot" strategy show impressive blind image denoising performances, without utilizing any external dataset. While the methods excel in recovering highly contaminated images, we observe that…

Image and Video Processing · Electrical Eng. & Systems 2022-04-07 Chaewon Kim , Jaeho Lee , Jinwoo Shin

We propose a new type of efficient deep-unrolling networks for solving imaging inverse problems. Conventional deep-unrolling methods require full forward operator and its adjoint across each layer, and hence can be significantly more…

Image and Video Processing · Electrical Eng. & Systems 2022-02-16 Junqi Tang , Subhadip Mukherjee , Carola-Bibiane Schönlieb

In this paper, we propose a new method for Salt-and-Pepper noise removal from images. Whereas most of the existing methods are based on Ordered Statistics filters, our method is based on the growing theory of Sparse Signal Processing. In…

Information Theory · Computer Science 2011-11-15 Abbas Kazerooni , Azarang Golmohammadi , Farokh Marvasti

We study $k$-SVD that is to obtain the first $k$ singular vectors of a matrix $A$. Recently, a few breakthroughs have been discovered on $k$-SVD: Musco and Musco [1] proved the first gap-free convergence result using the block Krylov…

Numerical Analysis · Computer Science 2017-01-24 Zeyuan Allen-Zhu , Yuanzhi Li

The paper proposes a new high spatial resolution hyperspectral (HR-HS) image estimation method based on convex optimization. The method assumes a low spatial resolution HS (LR-HS) image and a guide image as observations, where both…

Image and Video Processing · Electrical Eng. & Systems 2023-02-08 Saori Takeyama , Shunsuke Ono

Several recent works discussed application-driven image restoration neural networks, which are capable of not only removing noise in images but also preserving their semantic-aware details, making them suitable for various high-level…

Computer Vision and Pattern Recognition · Computer Science 2019-05-23 Sicheng Wang , Bihan Wen , Junru Wu , Dacheng Tao , Zhangyang Wang

We investigate the distributed multi-agent sharing optimization problem in a directed graph, with a composite objective function consisting of a smooth function plus a convex (possibly non-smooth) function shared by all agents. While…

Optimization and Control · Mathematics 2024-06-21 Sajad Zandi , Mehdi Korki

Recently, a new line of works has emerged to understand and improve self-attention in Transformers by treating it as a kernel machine. However, existing works apply the methods for symmetric kernels to the asymmetric self-attention,…

Machine Learning · Computer Science 2023-12-06 Yingyi Chen , Qinghua Tao , Francesco Tonin , Johan A. K. Suykens