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Neural networks are the pinnacle of Artificial Intelligence, as in recent years we witnessed many novel architectures, learning and optimization techniques for deep learning. Capitalizing on the fact that neural networks inherently…

Machine Learning · Computer Science 2022-09-12 Stratis Limnios , George Dasoulas , Dimitrios M. Thilikos , Michalis Vazirgiannis

Graph Neural Networks (GNN) exhibit superior performance in graph representation learning, but their inference cost can be high, due to an aggregation operation that can require a memory fetch for a very large number of nodes. This…

Machine Learning · Computer Science 2025-03-18 Yaochen Hu , Mai Zeng , Ge Zhang , Pavel Rumiantsev , Liheng Ma , Yingxue Zhang , Mark Coates

We present a generalized method for calculating the k-shell structure of weighted networks. The method takes into account both the weight and the degree of a network, in such a way that in the absence of weights we resume the shell…

Physics and Society · Physics 2012-08-28 Antonios Garas , Frank Schweitzer , Shlomo Havlin

The k-shell decomposition plays an important role in unveiling the structural properties of a network, i.e., it is widely adopted to find the densest part of a network across a broad range of scientific fields, including Internet,…

Social and Information Networks · Computer Science 2021-07-30 B. Zhou , Y. Q. Lv , Y. C. Mao , J. H. Wang , S. Q. Yu , Q. Xuan

K-cores are maximal induced subgraphs where all vertices have degree at least k. These dense patterns have applications in community detection, network visualization and protein function prediction. However, k-cores can be quite unstable to…

Social and Information Networks · Computer Science 2020-04-22 Sourav Medya , Tiyani Ma , Arlei Silva , Ambuj Singh

Multi-layer networks or multiplex networks are generally considered as the networks that have the same set of vertices but different types of edges. Multi-layer networks are especially useful when describing the systems with several kinds…

Physics and Society · Physics 2018-12-31 Rui-jie Wu , Yi-Xiu Kong , Gui-Yuan Shi , Yi-Cheng Zhang

We introduce a new network statistic that measures diverse structural properties at the micro-, meso-, and macroscopic scales, while still being easy to compute and easy to interpret at a glance. Our statistic, the onion spectrum, is based…

Physics and Society · Physics 2017-03-07 Laurent Hébert-Dufresne , Joshua A. Grochow , Antoine Allard

With the advent of the big data, graph are processed in an iterative manner, which incrementally described in the form of graph in big data applications. Most currently, graph processing methods treat the underlying map data as black boxes.…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-05 Beibei Si

Graphs are essential for representing relationships in various domains, driving modern AI applications such as graph analytics and neural networks across science, engineering, cybersecurity, transportation, and economics. However, the size…

Emerging Technologies · Computer Science 2024-04-05 William Shaddix , Mahyar Samani , Marjan Fariborz , S. J. Ben Yoo , Jason Lowe-Power , Venkatesh Akella

Maintaining a dynamic $k$-core decomposition is an important problem that identifies dense subgraphs in dynamically changing graphs. Recent work by Liu et al. [SPAA 2022] presents a parallel batch-dynamic algorithm for maintaining an…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-17 Quanquan C. Liu , Julian Shun , Igor Zablotchi

Graph learning is often a necessary step in processing or representing structured data, when the underlying graph is not given explicitly. Graph learning is generally performed centrally with a full knowledge of the graph signals, namely…

Signal Processing · Electrical Eng. & Systems 2021-12-14 Isabela Cunha Maia Nobre , Mireille El Gheche , Pascal Frossard

Multiplex networks are convenient mathematical representations for many real-world -- biological, social, and technological -- systems of interacting elements, where pairwise interactions among elements have different flavors. Previous…

Physics and Society · Physics 2020-05-26 Saeed Osat , Filippo Radicchi , Fragkiskos Papadopoulos

Graph clustering, aiming to partition nodes of a graph into various groups via an unsupervised approach, is an attractive topic in recent years. To improve the representative ability, several graph auto-encoder (GAE) models, which are based…

Machine Learning · Computer Science 2021-03-16 Hongyuan Zhang , Rui Zhang , Xuelong Li

Differentially private algorithms allow large-scale data analytics while preserving user privacy. Designing such algorithms for graph data is gaining importance with the growth of large networks that model various (sensitive) relationships…

Data Structures and Algorithms · Computer Science 2022-11-22 Laxman Dhulipala , Quanquan C. Liu , Sofya Raskhodnikova , Jessica Shi , Julian Shun , Shangdi Yu

Analyzing large-scale graphs provides valuable insights in different application scenarios. While many graph processing systems working on top of distributed infrastructures have been proposed to deal with big graphs, the tasks of profiling…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-09-05 Alessio Arleo , Walter Didimo , Giuseppe Liotta , Fabrizio Montecchiani

There has been a lot of recent interest in mining patterns from graphs. Often, the exact structure of the patterns of interest is not known. This happens, for example, when molecular structures are mined to discover fragments useful as…

Data Structures and Algorithms · Computer Science 2007-05-23 Pavel Dmitriev , Carl Lagoze

Community detection is expensive, and the cost generally depends at least linearly on the number of vertices in the graph. We propose working with a reduced graph that has many fewer nodes but nonetheless captures key community structure.…

Physics and Society · Physics 2014-10-14 Chengbin Peng , Tamara G. Kolda , Ali Pinar

Graph is a ubiquitous structure in many domains. The rapidly increasing data volume calls for efficient and scalable graph data processing. In recent years, designing distributed graph processing systems has been an increasingly important…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-03 Xubo Wang , Lu Qin , Lijun Chang , Ying Zhang , Dong Wen , Xuemin Lin

Network embedding has been widely used in social recommendation and network analysis, such as recommendation systems and anomaly detection with graphs. However, most of previous approaches cannot handle large graphs efficiently, due to that…

Social and Information Networks · Computer Science 2025-10-30 Wenqing Lin

Decentralized and asynchronous communications are two popular techniques to speedup communication complexity of distributed machine learning, by respectively removing the dependency over a central orchestrator and the need for…

Optimization and Control · Mathematics 2023-11-02 Mathieu Even , Anastasia Koloskova , Laurent Massoulié
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