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We consider the problem of denoising with the help of prior information taken from a database of clean signals or images. Denoising with variational methods is very efficient if a regularizer well adapted to the nature of the data is…

Machine Learning · Computer Science 2023-10-06 Hui Shi , Yann Traonmilin , J-F Aujol

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…

Optimization and Control · Mathematics 2024-11-19 Arghya Sinha , Kunal N. Chaudhury

Denoising and filtering are widely used in routine seismic-data-processing to improve the signal-to-noise ratio (SNR) of recorded signals and by doing so to improve subsequent analyses. In this paper we develop a new denoising/decomposition…

Geophysics · Physics 2020-01-08 Weiqiang Zhu , S. Mostafa Mousavi , Gregory C. Beroza

In this article, we improve extreme learning machines for regression tasks using a graph signal processing based regularization. We assume that the target signal for prediction or regression is a graph signal. With this assumption, we use…

Machine Learning · Statistics 2018-03-14 Arun Venkitaraman , Saikat Chatterjee , Peter Händel

Graph summarization via node grouping is a popular method to build concise graph representations by grouping nodes from the original graph into supernodes and encoding edges into superedges such that the loss of adjacency information is…

Social and Information Networks · Computer Science 2022-11-09 Arpit Merchant , Michael Mathioudakis , Yanhao Wang

Color image denoising is frequently encountered in various image processing and computer vision tasks. One traditional strategy is to convert the RGB image to a less correlated color space and denoise each channel of the new space…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Yiwen Shan , Dong Hu , Zhi Wang , Tao Jia

While deep learning (DL) architectures like convolutional neural networks (CNNs) have enabled effective solutions in image denoising, in general their implementations overly rely on training data, lack interpretability, and require tuning…

Computer Vision and Pattern Recognition · Computer Science 2021-03-25 Huy Vu , Gene Cheung , Yonina C. Eldar

This paper considers the problem of signal denoising using a sparse tight-frame analysis prior. The L1 norm has been extensively used as a regularizer to promote sparsity; however, it tends to under-estimate non-zero values of the…

Computer Vision and Pattern Recognition · Computer Science 2015-09-11 Ankit Parekh , Ivan W. Selesnick

We propose a supervised learning approach for predicting an underlying graph from a set of graph signals. Our approach is based on linear regression. In the linear regression model, we predict edge-weights of a graph as the output, given a…

Information Theory · Computer Science 2018-11-06 Arun Venkitaraman , Hermina Petric Maretic , Saikat Chatterjee , Pascal Frossard

In this study, the problem of computing a sparse representation of multi-dimensional visual data is considered. In general, such data e.g., hyperspectral images, color images or video data consists of signals that exhibit strong local…

Computer Vision and Pattern Recognition · Computer Science 2023-03-16 Alexandros Gkillas , Dimitris Ampeliotis , Kostas Berberidis

Modern digital cameras rely on the sequential execution of separate image processing steps to produce realistic images. The first two steps are usually related to denoising and demosaicking where the former aims to reduce noise from the…

Computer Vision and Pattern Recognition · Computer Science 2019-04-02 Filippos Kokkinos , Stamatios Lefkimmiatis

In this paper, we propose a new graph-based transform and illustrate its potential application to signal compression. Our approach relies on the careful design of a graph that optimizes the overall rate-distortion performance through an…

Information Theory · Computer Science 2019-07-31 Giulia Fracastoro , Dorina Thanou , Pascal Frossard

In this paper, we present GCN-Denoiser, a novel feature-preserving mesh denoising method based on graph convolutional networks (GCNs). Unlike previous learning-based mesh denoising methods that exploit hand-crafted or voxel-based…

Graphics · Computer Science 2023-08-16 Yuefan Shen , Hongbo Fu , Zhongshuo Du , Xiang Chen , Evgeny Burnaev , Denis Zorin , Kun Zhou , Youyi Zheng

Patient scans from MRI often suffer from noise, which hampers the diagnostic capability of such images. As a method to mitigate such artifact, denoising is largely studied both within the medical imaging community and beyond the community…

Image and Video Processing · Electrical Eng. & Systems 2022-03-25 Hyungjin Chung , Eun Sun Lee , Jong Chul Ye

Image deblurring is relevant in many fields of science and engineering. To solve this problem, many different approaches have been proposed and among the various methods, variational ones are extremely popular. These approaches are…

Numerical Analysis · Mathematics 2021-02-23 Davide Bianchi , Alessandro Buccini , Marco Donatelli , Emma Randazzo

Noise is ubiquitous during image acquisition. Sufficient denoising is often an important first step for image processing. In recent decades, deep neural networks (DNNs) have been widely used for image denoising. Most DNN-based image…

Computer Vision and Pattern Recognition · Computer Science 2024-08-02 Chenyin Gao , Shu Yang , Anru R. Zhang

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…

Computer Vision and Pattern Recognition · Computer Science 2019-08-20 Tim Meinhardt , Michael Moeller , Caner Hazirbas , Daniel Cremers

Noise removal in the standard RGB (sRGB) space remains a challenging task, in that the noise statistics of real-world images can be different in R, G and B channels. In fact, the green channel usually has twice the sampling rate in raw data…

Image and Video Processing · Electrical Eng. & Systems 2024-02-14 Zhaoming Kong , Xiaowei Yang

Learning-based image reconstruction models, such as those based on the U-Net, require a large set of labeled images if good generalization is to be guaranteed. In some imaging domains, however, labeled data with pixel- or voxel-level label…

Image and Video Processing · Electrical Eng. & Systems 2024-01-08 Sean I. Young , Adrian V. Dalca , Enzo Ferrante , Polina Golland , Christopher A. Metzler , Bruce Fischl , Juan Eugenio Iglesias

We consider the graph similarity computation (GSC) task based on graph edit distance (GED) estimation. State-of-the-art methods treat GSC as a learning-based prediction task using Graph Neural Networks (GNNs). To capture fine-grained…

Machine Learning · Computer Science 2024-06-24 Wei Zhuo , Guang Tan
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