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We propose a data-driven way to reduce the noise of covariance matrices of nonstationary systems. In the case of stationary systems, asymptotic approaches were proved to converge to the optimal solutions. Such methods produce eigenvalues…

应用统计 · 统计学 2023-03-10 Christian Bongiorno , Damien Challet , Grégoire Loeper

Group sparse representation has shown promising results in image debulrring and image inpainting in GSR [3] , the main reason that lead to the success is by exploiting Sparsity and Nonlocal self-similarity (NSS) between patches on natural…

计算机视觉与模式识别 · 计算机科学 2022-12-23 Luoyu Chen , Fei Wu

With recent deep learning based approaches showing promising results in removing noise from images, the best denoising performance has been reported in a supervised learning setup that requires a large set of paired noisy images and ground…

图像与视频处理 · 电气工程与系统科学 2022-09-20 Rihuan Ke

We present a method for synthesizing dynamic, reduced-order output-feedback polynomial control policies for control-affine nonlinear systems which guarantees runtime stability to a goal state, when using visual observations and a learned…

机器人学 · 计算机科学 2023-09-29 Glen Chou , Russ Tedrake

It is well known that the linear stability of solutions of partial differential equations which are integrable can be very efficiently investigated by means of spectral methods. We present here a direct construction of the eigenmodes of the…

可精确求解与可积系统 · 物理学 2018-06-18 Antonio Degasperis , Sara Lombardo , Matteo Sommacal

Understanding the interactions of atoms such as forces in 3D atomistic systems is fundamental to many applications like molecular dynamics and catalyst design. However, simulating these interactions requires compute-intensive ab initio…

机器学习 · 计算机科学 2024-12-23 Yi-Lun Liao , Tess Smidt , Muhammed Shuaibi , Abhishek Das

Removal of noise from an image is an extensively studied problem in image processing. Indeed, the recent advent of sophisticated and highly effective denoising algorithms lead some to believe that existing methods are touching the ceiling…

计算机视觉与模式识别 · 计算机科学 2017-09-05 Yaniv Romano , Michael Elad , Peyman Milanfar

We propose an efficient neural network for RAW image denoising. Although neural network-based denoising has been extensively studied for image restoration, little attention has been given to efficient denoising for compute limited and power…

图像与视频处理 · 电气工程与系统科学 2021-03-19 Lucas D. Young , Fitsum A. Reda , Rakesh Ranjan , Jon Morton , Jun Hu , Yazhu Ling , Xiaoyu Xiang , David Liu , Vikas Chandra

Iterative denoising algorithms (IDAs) have been tremendously successful in a range of linear inverse problems arising in signal and image processing. The classic instance of this is the famous Iterative Soft-Thresholding Algorithm (ISTA),…

图像与视频处理 · 电气工程与系统科学 2023-02-17 Danica Fliss , Willem Marais , Robert D. Nowak

It's well-known that inverse problems are ill-posed and to solve them meaningfully, one has to employ regularization methods. Traditionally, popular regularization methods are the penalized Variational approaches. In recent years, the…

计算机视觉与模式识别 · 计算机科学 2021-09-06 Abinash Nayak

We address the problem of image denoising in additive white noise without placing restrictive assumptions on its statistical distribution. In the recent literature, specific noise distributions have been considered and correspondingly,…

计算机视觉与模式识别 · 计算机科学 2015-01-28 Sagar Venkatesh Gubbi , Chandra Sekhar Seelamantula

Diverse inverse problems in imaging can be cast as variational problems composed of a task-specific data fidelity term and a regularization term. In this paper, we propose a novel learnable general-purpose regularizer exploiting recent…

最优化与控制 · 数学 2020-02-19 Erich Kobler , Alexander Effland , Karl Kunisch , Thomas Pock

The use of denoisers for image reconstruction has shown significant potential, especially for the Plug-and-Play (PnP) framework. In PnP, a powerful denoiser is used as an implicit regularizer in proximal algorithms such as ISTA and ADMM.…

图像与视频处理 · 电气工程与系统科学 2025-05-22 Arghya Sinha , Bhartendu Kumar , Chirayu D. Athalye , Kunal N. Chaudhury

In this study, we investigated the stability of dynamic mode decomposition (DMD) algorithms to noisy data. To achieve a stable DMD algorithm, we applied the truncated total least squares (T-TLS) regression and optimal truncation level…

机器学习 · 计算机科学 2021-11-08 Yuya Ohmichi , Yosuke Sugioka , Kazuyuki Nakakita

Background noise in many fields such as medical imaging poses significant challenges for accurate diagnosis, prompting the development of denoising algorithms. Traditional methodologies, however, often struggle to address the complexities…

图像与视频处理 · 电气工程与系统科学 2025-02-03 Amirreza Hashemi , Sayantan Dutta , Bertrand Georgeot , Denis Kouame , Hamid Sabet

Recurrent models are a popular choice for video enhancement tasks such as video denoising or super-resolution. In this work, we focus on their stability as dynamical systems and show that they tend to fail catastrophically at inference time…

计算机视觉与模式识别 · 计算机科学 2023-03-14 Thomas Tanay , Aivar Sootla , Matteo Maggioni , Puneet K. Dokania , Philip Torr , Ales Leonardis , Gregory Slabaugh

We study the problem of estimating a large, low-rank matrix corrupted by additive noise of unknown covariance, assuming one has access to additional side information in the form of noise-only measurements. We study the Whiten-Shrink-reColor…

统计理论 · 数学 2023-07-18 Matan Gavish , William Leeb , Elad Romanov

In many applications, Image de-noising and improvement represent essential processes in presence of colored noise such that in underwater. Power spectral density of the noise is changeable within a definite frequency range, and…

图像与视频处理 · 电气工程与系统科学 2020-09-22 Yasin Yousif Al-Aboosi , Radhi Sehen Issa , Ali khalid Jassim

Generalizable Image Super-Resolution aims to enhance model generalization capabilities under unknown degradations. To achieve this goal, the models are expected to focus only on image content-related features instead of overfitting…

计算机视觉与模式识别 · 计算机科学 2025-09-19 Hongjun Wang , Jiyuan Chen , Zhengwei Yin , Xuan Song , Yinqiang Zheng

Being one of the oldest and most basic problems in image processing, image denoising has seen a resurgence spurred by rapid advances in deep learning. Yet, most modern denoising architectures make limited use of the technical knowledge…

图像与视频处理 · 电气工程与系统科学 2026-04-21 Marco Sánchez-Beeckman , Antoni Buades