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Graph Neural Networks (GNNs) are computationally demanding and inefficient when applied to graph classification tasks in resource-constrained edge scenarios due to their inherent process, involving multiple rounds of forward and backward…

Machine Learning · Computer Science 2024-05-30 Yuxi Han , Jihe Wang , Danghui Wang

We consider the densest $k$-subgraph problem, which seeks to identify the $k$-node subgraph of a given input graph with maximum number of edges. This problem is well-known to be NP-hard, by reduction to the maximum clique problem. We…

Optimization and Control · Mathematics 2019-04-09 Polina Bombina , Brendan Ames

Clustering nodes in heterophilous graphs is challenging as traditional methods assume that effective clustering is characterized by high intra-cluster and low inter-cluster connectivity. To address this, we introduce HeNCler-a novel…

Machine Learning · Computer Science 2025-06-25 Sonny Achten , Zander Op de Beeck , Francesco Tonin , Volkan Cevher , Johan A. K. Suykens

The hypergraph minimum cut problem aims to partition its vertices into two blocks while minimizing the total weight of the cut hyperedges. This fundamental problem arises in network reliability, VLSI design, and community detection. We…

Data Structures and Algorithms · Computer Science 2025-05-01 Adil Chhabra , Christian Schulz , Bora Uçar , Loris Wilwert

Hypergraphs have gained increasing attention in the machine learning community lately due to their superiority over graphs in capturing super-dyadic interactions among entities. In this work, we propose a novel approach for the partitioning…

Machine Learning · Computer Science 2020-11-17 Deepak Maurya , Balaraman Ravindran

Graph-based variational methods have recently shown to be highly competitive for various classification problems of high-dimensional data, but are inherently difficult to handle from an optimization perspective. This paper proposes a convex…

Optimization and Control · Mathematics 2017-02-17 Egil Bae , Ekaterina Merkurjev

Network representation learning and node classification in graphs got significant attention due to the invent of different types graph neural networks. Graph convolution network (GCN) is a popular semi-supervised technique which aggregates…

Social and Information Networks · Computer Science 2020-02-11 Sambaran Bandyopadhyay , Kishalay Das , M. Narasimha Murty

Nearest neighbor (NN) graph based visual re-ranking has emerged as a powerful approach for improving retrieval accuracy, offering the advantages of effectively exploring high-dimensional manifolds without requiring additional fine-tuning.…

Computer Vision and Pattern Recognition · Computer Science 2025-07-09 Jaeyoon Kim , Yoonki Cho , Taeyoung Kim , Sung-Eui Yoon

Real-world events exhibit a high degree of interdependence and connections, and hence data points generated also inherit the linkages. However, the majority of AI/ML techniques leave out the linkages among data points. The recent surge of…

Social and Information Networks · Computer Science 2020-06-17 Shrey Dabhi , Manojkumar Parmar

Hyperdimensional Computing (HDC) developed by Kanerva is a computational model for machine learning inspired by neuroscience. HDC exploits characteristics of biological neural systems such as high-dimensionality, randomness and a…

Machine Learning · Computer Science 2022-05-17 Igor Nunes , Mike Heddes , Tony Givargis , Alexandru Nicolau , Alex Veidenbaum

Signed graphs, which are characterized by both positive and negative edge weights, have recently attracted significant attention in the field of graph signal processing (GSP). Existing works on signed graph learning typically assume that…

Signal Processing · Electrical Eng. & Systems 2025-09-12 Rong Ye , Xue-Qin Jiang , Hui Feng , Jian Wang , Runhe Qiu

Normalized-Cut (N-Cut) is a famous model of spectral clustering. The traditional N-Cut solvers are two-stage: 1) calculating the continuous spectral embedding of normalized Laplacian matrix; 2) discretization via $K$-means or spectral…

Machine Learning · Computer Science 2023-11-28 Feiping Nie , Jitao Lu , Danyang Wu , Rong Wang , Xuelong Li

The graph matching problem is a significant special case of the Quadratic Assignment Problem, with extensive applications in pattern recognition, computer vision, protein alignments and related fields. As the problem is NP-hard, relaxation…

Optimization and Control · Mathematics 2025-04-01 Rongxuan Li

Fair graph clustering is crucial for ensuring equitable representation and treatment of diverse communities in network analysis. Traditional methods often ignore disparities among social, economic, and demographic groups, perpetuating…

Machine Learning · Computer Science 2024-10-22 Sina Baharlouei , Sadra Sabouri

To read the final version please go to IEEE TGRS on IEEE Xplore. Convolutional neural networks (CNNs) have been attracting increasing attention in hyperspectral (HS) image classification, owing to their ability to capture spatial-spectral…

Computer Vision and Pattern Recognition · Computer Science 2021-07-07 Danfeng Hong , Lianru Gao , Jing Yao , Bing Zhang , Antonio Plaza , Jocelyn Chanussot

Convolutional neural networks (CNNs) have achieved great success on grid-like data such as images, but face tremendous challenges in learning from more generic data such as graphs. In CNNs, the trainable local filters enable the automatic…

Machine Learning · Computer Science 2018-09-05 Hongyang Gao , Zhengyang Wang , Shuiwang Ji

For the high dimensional data representation, nonnegative tensor ring (NTR) decomposition equipped with manifold learning has become a promising model to exploit the multi-dimensional structure and extract the feature from tensor data.…

Machine Learning · Computer Science 2021-09-07 Xinhai Zhao , Yuyuan Yu , Guoxu Zhou , Qibin Zhao , Weijun Sun

In many real-world network datasets such as co-authorship, co-citation, email communication, etc., relationships are complex and go beyond pairwise. Hypergraphs provide a flexible and natural modeling tool to model such complex…

Machine Learning · Computer Science 2019-05-23 Naganand Yadati , Madhav Nimishakavi , Prateek Yadav , Vikram Nitin , Anand Louis , Partha Talukdar

Group convolution works well with many deep convolutional neural networks (CNNs) that can effectively compress the model by reducing the number of parameters and computational cost. Using this operation, feature maps of different group…

Computer Vision and Pattern Recognition · Computer Science 2019-06-11 Xukai Xie , Yuan Zhou , Sun-Yuan Kung

Graph Convolutional Networks (GCNs) are extensively utilized for deep learning on graphs. The large data sizes of graphs and their vertex features make scalable training algorithms and distributed memory systems necessary. Since the…

Machine Learning · Computer Science 2022-12-14 Gunduz Vehbi Demirci , Aparajita Haldar , Hakan Ferhatosmanoglu
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