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Total Generalized Variation (TGV) regularization in image reconstruction relies on an infimal convolution type combination of generalized first- and second-order derivatives. This helps to avoid the staircasing effect of Total Variation…

Optimization and Control · Mathematics 2022-05-09 Michael Hintermüller , Kostas Papafitsoros , Carlos N. Rautenberg , Hongpeng Sun

Wide dynamic range (WDR) images contain more scene details and contrast when compared to common images. However, it requires tone mapping to process the pixel values in order to display properly. The details of WDR images can diminish…

Image and Video Processing · Electrical Eng. & Systems 2021-02-02 Jie Yang , Ziyi Liu , Mengchen Lin , Svetlana Yanushkevich , Orly Yadid-Pecht

Artifacts, blur and noise are the common distortions degrading MRI images during the acquisition process, and deep neural networks have been demonstrated to help in improving image quality. To well exploit global structural information and…

Image and Video Processing · Electrical Eng. & Systems 2021-04-15 Xiaobin Hu , Yanyang Yan , Wenqi Ren , Hongwei Li , Yu Zhao , Amirhossein Bayat , Bjoern Menze

We consider a Canonical Polyadic (CP) decomposition approach to low-rank tensor completion (LRTC) by incorporating external pairwise similarity relations through graph Laplacian regularization on the CP factor matrices. The usage of graph…

Numerical Analysis · Mathematics 2023-11-14 Yu Guan , Shuyu Dong , Bin Gao , P. -A. Absil , François Glineur

Dynamic graphs arise in a plethora of practical scenarios such as social networks, communication networks, and financial transaction networks. Given a dynamic graph, it is fundamental and essential to learn a graph representation that is…

Machine Learning · Computer Science 2021-06-15 Menglin Yang , Ziqiao Meng , Irwin King

Multi-scale processing is essential in image processing and computer graphics. Halos are a central issue in multi-scale processing. Several edge-preserving decompositions resolve halos, e.g., local Laplacian filtering (LLF), by extending…

Image and Video Processing · Electrical Eng. & Systems 2022-06-13 Yuto Sumiya , Tomoki Otsuka , Yoshihiro Maeda , Norishige Fukushima

Graph neural network (GNN) is a powerful learning approach for graph-based recommender systems. Recently, GNNs integrated with contrastive learning have shown superior performance in recommendation with their data augmentation schemes,…

Information Retrieval · Computer Science 2023-06-16 Xuheng Cai , Chao Huang , Lianghao Xia , Xubin Ren

Semi-supervised Laplacian regularization, a standard graph-based approach for learning from both labelled and unlabelled data, was recently demonstrated to have an insignificant high dimensional learning efficiency with respect to…

Machine Learning · Computer Science 2020-06-16 Xiaoyi Mai , Romain Couillet

We consider the problem of matrix completion with graphs as side information depicting the interrelations between variables. The key challenge lies in leveraging the similarity structure of the graph to enhance matrix recovery. Existing…

Machine Learning · Computer Science 2025-02-13 Yao Wang , Yiyang Yang , Kaidong Wang , Shanxing Gao , Xiuwu Liao

Hypergraph learning with $p$-Laplacian regularization has attracted a lot of attention due to its flexibility in modeling higher-order relationships in data. This paper focuses on its fast numerical implementation, which is challenging due…

Numerical Analysis · Mathematics 2025-04-08 Kehan Shi , Martin Burger

In generalized graph signal processing (GGSP), the signal associated with each vertex in a graph is an element from a Hilbert space. In this paper, we study GGSP signal reconstruction as a kernel ridge regression (KRR) problem. By devising…

Signal Processing · Electrical Eng. & Systems 2023-08-15 Xingchao Jian , Wee Peng Tay , Yonina C. Eldar

Graph Neural Networks (GNNs) have achieved remarkable success in learning node representations and have shown strong performance in tasks such as node classification. However, recent findings indicate that the presence of noise in…

Machine Learning · Computer Science 2025-07-01 Yancheng Wang , Yingzhen Yang

We present a novel iterative scheme for restoring uneven illumination in grayscale images. Our approach solves, at each global iteration, a nonlinear elliptic equation for an auxiliary field $u$ and then updates the illumination via an…

Analysis of PDEs · Mathematics 2025-06-17 Dragos-Patru Covei

In a semi-supervised learning scenario, (possibly noisy) partially observed labels are used as input to train a classifier, in order to assign labels to unclassified samples. In this paper, we study this classifier learning problem from a…

Machine Learning · Computer Science 2017-07-21 Gene Cheung , Weng-Tai Su , Yu Mao , Chia-Wen Lin

We propose an efficient and robust iterative solution to the multi-object matching problem. We first clarify serious limitations of current methods as well as the inappropriateness of the standard iteratively reweighted least squares…

Computer Vision and Pattern Recognition · Computer Science 2021-10-11 Yunpeng Shi , Shaohan Li , Gilad Lerman

Graph signal processing (GSP) is a prominent framework for analyzing signals on non-Euclidean domains. The graph Fourier transform (GFT) uses the combinatorial graph Laplacian matrix to reveal the spectral decomposition of signals in the…

Machine Learning · Computer Science 2024-06-13 Changhao Shi , Gal Mishne

In most work to date, graph signal sampling and reconstruction algorithms are intrinsically tied to graph properties, assuming bandlimitedness and optimal sampling set choices. However, practical scenarios often defy these assumptions,…

Signal Processing · Electrical Eng. & Systems 2024-01-23 Darukeesan Pakiyarajah , Eduardo Pavez , Antonio Ortega

Image compression is a method to remove spatial redundancy between adjacent pixels and reconstruct a high-quality image. In the past few years, deep learning has gained huge attention from the research community and produced promising image…

Image and Video Processing · Electrical Eng. & Systems 2021-09-07 Khawar Islam , L. Minh Dang , Sujin Lee , Hyeonjoon Moon

Recommendation algorithm plays an important role in recommendation system (RS), which predicts users' interests and preferences for some given items based on their known information. Recently, a recommendation algorithm based on the graph…

Information Retrieval · Computer Science 2023-07-06 Guangrui Yang , Lihua Yang , Qing Zhang , Zhihua Yang

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…

Image and Video Processing · Electrical Eng. & Systems 2023-08-28 Alexis Goujon , Sebastian Neumayer , Pakshal Bohra , Stanislas Ducotterd , Michael Unser