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Graph convolutional networks(GCNs) have become the most popular approaches for graph data in these days because of their powerful ability to extract features from graph. GCNs approaches are divided into two categories, spectral-based and…

Machine Learning · Computer Science 2019-07-23 Yi Ma , Jianye Hao , Yaodong Yang , Han Li , Junqi Jin , Guangyong Chen

In this paper, we present a novel way to summarize the structure of large graphs, based on non-parametric estimation of edge density in directed multigraphs. Following coclustering approach, we use a clustering of the vertices, with a…

Social and Information Networks · Computer Science 2015-08-07 Marc Boullé

Graph clustering discovers groups or communities within networks. Deep learning methods such as autoencoders (AE) extract effective clustering and downstream representations but cannot incorporate rich structural information. While Graph…

Machine Learning · Computer Science 2022-04-28 Gayan K. Kulatilleke , Marius Portmann , Shekhar S. Chandra

Graph condensation (GC) has recently garnered considerable attention due to its ability to reduce large-scale graph datasets while preserving their essential properties. The core concept of GC is to create a smaller, more manageable graph…

Machine Learning · Computer Science 2024-11-25 Qingyun Sun , Ziying Chen , Beining Yang , Cheng Ji , Xingcheng Fu , Sheng Zhou , Hao Peng , Jianxin Li , Philip S. Yu

Graph convolutional networks (GCNs) are \emph{discriminative models} that directly model the class posterior $p(y|\mathbf{x})$ for semi-supervised classification of graph data. While being effective, as a representation learning approach,…

Machine Learning · Computer Science 2023-05-30 Tianchun Wang , Farzaneh Mirzazadeh , Xiang Zhang , Jie Chen

Clustering has become an indispensable tool in the presence of increasingly large and complex data sets. Most clustering algorithms depend, either explicitly or implicitly, on the sampled density. However, estimated densities are fragile…

Chemical Physics · Physics 2023-08-21 Moritz Thürlemann , Sereina Riniker

The decentralized gradient descent (DGD) algorithm, and its sibling, diffusion, are workhorses in decentralized machine learning, distributed inference and estimation, and multi-agent coordination. We propose a novel, principled framework…

Signal Processing · Electrical Eng. & Systems 2025-06-04 Erik G. Larsson , Nicolo Michelusi

Graph distillation (GD) is an effective approach to extract useful information from large-scale network structures. However, existing methods, which operate in Euclidean space to generate condensed graphs, struggle to capture the inherent…

Machine Learning · Computer Science 2025-01-28 Yunbo Long , Liming Xu , Stefan Schoepf , Alexandra Brintrup

Since the representative capacity of graph-based clustering methods is usually limited by the graph constructed on the original features, it is attractive to find whether graph neural networks (GNNs) can be applied to augment the capacity.…

Machine Learning · Computer Science 2022-12-22 Hongyuan Zhang , Jiankun Shi , Rui Zhang , Xuelong Li

Many problems can be presented in an abstract form through a wide range of binary objects and relations which are defined over problem domain. In these problems, graphical demonstration of defined binary objects and solutions is the most…

Graphics · Computer Science 2016-03-24 Mohammadreza Ashouri , Ali Golshani , Dara Moazzmi , Mandana Ghasemi

Temporal Graph Clustering (TGC) is a new task with little attention, focusing on node clustering in temporal graphs. Compared with existing static graph clustering, it can find the balance between time requirement and space requirement…

Machine Learning · Computer Science 2026-01-21 Meng Liu , Ke Liang , Siwei Wang , Xingchen Hu , Sihang Zhou , Xinwang Liu

As the most typical graph clustering method, spectral clustering is popular and attractive due to the remarkable performance, easy implementation, and strong adaptability. Classical spectral clustering measures the edge weights of graph…

Machine Learning · Computer Science 2023-12-08 Dehua Peng , Zhipeng Gui , Huayi Wu

The mining and exploitation of graph structural information have been the focal points in the study of complex networks. Traditional structural measures in Network Science focus on the analysis and modelling of complex networks from the…

Social and Information Networks · Computer Science 2023-06-21 Mingshan Jia , Bogdan Gabrys , Katarzyna Musial

Gland instance segmentation is an essential but challenging task in the diagnosis and treatment of adenocarcinoma. The existing models usually achieve gland instance segmentation through multi-task learning and boundary loss constraint.…

Computer Vision and Pattern Recognition · Computer Science 2023-12-14 Caiqing Jian , Yongbin Qin , Lihui Wang

Recent years have witnessed a growing academic interest in multi-view subspace clustering. In this paper, we propose a novel Double Graphs Regularized Multi-view Subspace Clustering (DGRMSC) method, which aims to harness both global and…

Machine Learning · Computer Science 2022-10-03 Longlong Chen , Yulong Wang , Youheng Liu , Yutao Hu , Libin Wang

Given entities and their interactions in the web data, which may have occurred at different time, how can we find communities of entities and track their evolution? In this paper, we approach this important task from graph clustering…

Social and Information Networks · Computer Science 2023-03-29 Namyong Park , Ryan Rossi , Eunyee Koh , Iftikhar Ahamath Burhanuddin , Sungchul Kim , Fan Du , Nesreen Ahmed , Christos Faloutsos

Decentralized optimization has become a fundamental tool for large-scale learning systems; however, most existing methods rely on the classical Lipschitz smoothness assumption, which is often violated in problems with rapidly varying…

Optimization and Control · Mathematics 2026-01-08 Yanan Bo , Yongqiang Wang

The energy of a graph is the sum of the moduli of the eigenvalues of its adjacency matrix. We study the energy of integral circulant graphs, also called gcd graphs, which can be characterized by their vertex count $n$ and a set $\cal D$ of…

Combinatorics · Mathematics 2018-08-21 Jürgen W. Sander , Torsten Sander

Spectral clustering is widely used to partition graphs into distinct modules or communities. Existing methods for spectral clustering use the eigenvalues and eigenvectors of the graph Laplacian, an operator that is closely associated with…

Social and Information Networks · Computer Science 2015-06-15 Laura M. Smith , Kristina Lerman , Cristina Garcia-Cardona , Allon G. Percus , Rumi Ghosh

In the effective mass approximation, electronic property in graphene can be characterized by the relativistic Dirac equation. Within such a continuum model we investigate the electronic transport through graphene waveguides formed by…

Strongly Correlated Electrons · Physics 2015-05-13 Haidong Li , Lin Wang , Zhihuan Lan , Yisong Zheng