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Machine learning techniques are immensely deployed in both industry and academy. Recent studies indicate that machine learning models used for classification tasks are vulnerable to adversarial examples, which limits the usage of…

Computer Vision and Pattern Recognition · Computer Science 2020-07-14 Yutong Gao , Yi Pan

Graph filters are one of the core tools in graph signal processing. A central aspect of them is their direct distributed implementation. However, the filtering performance is often traded with distributed communication and computational…

Signal Processing · Electrical Eng. & Systems 2019-05-01 Mario Coutino , Elvin Isufi , Geert Leus

De-noising is a prominent step in the spectra post-processing procedure. Previous machine learning-based methods are fast but mostly based on supervised learning and require a training set that may be typically expensive in real…

Materials Science · Physics 2024-03-06 Dongchen Huang , Junde Liu , Tian Qian , Hongming Weng

This work proposes an Accelerated Primal-Dual Fixed-Point (APDFP) method that employs Nesterov type acceleration to solve composite problems of the form min f(x) + g(Bx), where g is nonsmooth and B is a linear operator. The APDFP features…

Optimization and Control · Mathematics 2025-11-04 Ya-Nan Zhu

Gradient restarting has been shown to improve the numerical performance of accelerated gradient methods. This paper provides a mathematical analysis to understand these advantages. First, we establish global linear convergence guarantees…

Optimization and Control · Mathematics 2025-05-28 Chenglong Bao , Liang Chen , Jiahong Li , Zuowei Shen

Image denoising is one of the preliminary steps in image processing methods in which the presence of noise can deteriorate the image quality. To overcome this limitation, in this paper a improved two-stage fuzzy filter is proposed for…

Computer Vision and Pattern Recognition · Computer Science 2020-08-11 Vikas Singh , Pooja Agrawal , Teena Sharma , Nishchal K. Verma

Image classification and denoising suffer from complementary issues of lack of robustness or partially ignoring conditioning information. We argue that they can be alleviated by unifying both tasks through a model of the joint probability…

Computer Vision and Pattern Recognition · Computer Science 2024-10-07 Louis Thiry , Florentin Guth

Denoising is one of the fundamental steps of the processing pipeline that converts data captured by a camera sensor into a display-ready image or video. It is generally performed early in the pipeline, usually before demosaicking, although…

Image and Video Processing · Electrical Eng. & Systems 2024-12-02 Marco Sánchez-Beeckman , Antoni Buades , Nicola Brandonisio , Bilel Kanoun

We design a novel network architecture for learning discriminative image models that are employed to efficiently tackle the problem of grayscale and color image denoising. Based on the proposed architecture, we introduce two different…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Stamatios Lefkimmiatis

Graph signal processing analyzes signals supported on the nodes of a graph by defining the shift operator in terms of a matrix, such as the graph adjacency matrix or Laplacian matrix, related to the structure of the graph. With respect to…

Signal Processing · Electrical Eng. & Systems 2018-03-01 Stephen Kruzick , José M. F. Moura

Magnetic Resonance Imaging (MRI) is an essential diagnostic tool in clinical settings but its utility is often hindered by noise artifacts introduced during the imaging process. Effective denoising is critical for enhancing image quality…

Image and Video Processing · Electrical Eng. & Systems 2025-06-23 Zeyun Deng , Joseph Campbell

Most of the classical denoising methods restore clear results by selecting and averaging pixels in the noisy input. Instead of relying on hand-crafted selecting and averaging strategies, we propose to explicitly learn this process with deep…

Computer Vision and Pattern Recognition · Computer Science 2019-04-16 Xiangyu Xu , Muchen Li , Wenxiu Sun

Image restoration has been an extensively researched topic in numerous fields. With the advent of deep learning, a lot of the current algorithms were replaced by algorithms that are more flexible and robust. Deep networks have demonstrated…

Computer Vision and Pattern Recognition · Computer Science 2019-04-30 Rohit Jena

Convergence analysis of Nesterov's accelerated gradient method has attracted significant attention over the past decades. While extensive work has explored its theoretical properties and elucidated the intuition behind its acceleration, a…

Optimization and Control · Mathematics 2025-07-08 Jun Liu

In this paper, we study the problem of reverse image filtering. An image filter denoted g(.), which is available as a black box, produces an observation b = g(x) when provided with an input x. The problem is to estimate the original input…

Image and Video Processing · Electrical Eng. & Systems 2022-06-22 Fernando Galetto , Guang Deng

The effectiveness of existing denoising algorithms typically relies on accurate pre-defined noise statistics or plenty of paired data, which limits their practicality. In this work, we focus on denoising in the more common case where noise…

Image and Video Processing · Electrical Eng. & Systems 2020-12-01 Huangxing Lin , Yihong Zhuang , Yue Huang , Xinghao Ding , Yizhou Yu , Xiaoqing Liu , John Paisley

Using graphs to model irregular information domains is an effective approach to deal with some of the intricacies of contemporary (network) data. A key aspect is how the data, represented as graph signals, depend on the topology of the…

Signal Processing · Electrical Eng. & Systems 2023-05-02 Fernando J. Iglesias Garcia , Santiago Segarra , Antonio G. Marques

Robust and computationally efficient anomaly detection in videos is a problem in video surveillance systems. We propose a technique to increase robustness and reduce computational complexity in a Convolutional Neural Network (CNN) based…

Machine Learning · Computer Science 2019-11-01 Usama Muneeb , Erdem Koyuncu , Yasaman Keshtkarjahromi , Hulya Seferoglu , Mehmet Fatih Erden , Ahmet Enis Cetin

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 present a totally asynchronous algorithm for convex optimization that is based on a novel generalization of Nesterov's accelerated gradient method. This algorithm is developed for fast convergence under "total asynchrony," i.e., allowing…

Optimization and Control · Mathematics 2024-06-17 Ellie Pond , April Sebok , Zachary Bell , Matthew Hale
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