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Complex networks representing social interactions, brain activities, molecular structures have been studied widely to be able to understand and predict their characteristics as graphs. Models and algorithms for these networks are used in…

Social and Information Networks · Computer Science 2022-10-24 Murat Çelik , Ali Baran Taşdemir , Lale Özkahya

Higher-order networks effectively represent complex systems with group interactions. Existing methods usually overlook the relative contribution of group interactions (hyperlinks) of different sizes to the overall network structure. Yet,…

Physics and Society · Physics 2025-08-26 Alberto Ceria , Frank W. Takes

Many neural nets appear to represent data as linear combinations of "feature vectors." Algorithms for discovering these vectors have seen impressive recent success. However, we argue that this success is incomplete without an understanding…

Artificial Intelligence · Computer Science 2024-07-23 Martin Wattenberg , Fernanda B. Viégas

In this paper we review basic and emerging models and associated algorithms for large-scale tensor networks, especially Tensor Train (TT) decompositions using novel mathematical and graphical representations. We discus the concept of…

Numerical Analysis · Computer Science 2014-08-25 Andrzej Cichocki

Big Data has become the primary source of understanding the structure and dynamics of the society at large scale. The network of social interactions can be considered as a multiplex, where each layer corresponds to one communication channel…

Physics and Society · Physics 2016-12-21 János Török , Yohsuke Murase , Hang-Hyun Jo , János Kertész , Kimmo Kaski

Complex networks are frequently employed to model physical or virtual complex systems. When certain entities exist across multiple systems simultaneously, unveiling their corresponding relationships across the networks becomes crucial. This…

Physics and Society · Physics 2025-04-16 Rui Tang , Ziyun Yong , Shuyu Jiang , Xingshu Chen , Yaofang Liu , Yi-Cheng Zhang , Gui-Quan Sun , Wei Wang

We study the evolution of networks through `triplets' - three-node graphlets. We develop a method to compute a transition matrix to describe the evolution of triplets in temporal networks. To identify the importance of higher-order…

Physics and Society · Physics 2021-08-02 Qing Yao , Bingsheng Chen , Kim Christensen , Tim S. Evans

The constant increase in the complexity of data networks motivates the search for strategies that make it possible to reduce current monitoring times. This paper shows the way in which multilayer network representation and the application…

Networking and Internet Architecture · Computer Science 2021-06-08 Luz Angela Aristizábal Q , Nicolás Toro G

Understanding the causes and consequences of, and devising countermeasures to, global warming is a profoundly complex problem. Network representations are sometimes the only way forward, and sometimes able to reduce the complexity of the…

Physics and Society · Physics 2022-05-30 Petter Holme , Juan C. Rocha

Network data is increasingly being used in quantitative, data-driven public policy research. These are typically very rich datasets that contain complex correlations and inter-dependencies. This richness both promises to be quite useful for…

The analysis of complex and time-evolving interactions like social dynamics represents a current challenge for the science of complex systems. Temporal networks stand as a suitable tool to schematise such systems, encoding all the appearing…

Visualizing network data is applicable in domains such as biology, engineering, and social sciences. We report the results of a study comparing the effectiveness of the two primary techniques for showing network data: node-link diagrams and…

Human-Computer Interaction · Computer Science 2017-09-04 Mershack Okoe , Radu Jianu , Stephen Kobourov

Higher-order information is crucial for relational learning in many domains where relationships extend beyond pairwise interactions. Hypergraphs provide a natural framework for modeling such relationships, which has motivated recent…

Machine Learning · Computer Science 2025-02-21 Raphael Pellegrin , Lukas Fesser , Melanie Weber

The new age of digital growth has marked all fields. This technological evolution has impacted data flows which have witnessed a rapid expansion over the last decade that makes the data traditional processing unable to catch up with the…

Databases · Computer Science 2024-04-22 Rania Mkhinini Gahar , Olfa Arfaoui , Minyar Sassi Hidri

Higher-order networks have emerged as a powerful framework to model complex systems and their collective behavior. Going beyond pairwise interactions, they encode structured relations among arbitrary numbers of units through representations…

Adaptation and Self-Organizing Systems · Physics 2023-03-24 Yuanzhao Zhang , Maxime Lucas , Federico Battiston

Biological systems, from a cell to the human brain, are inherently complex. A powerful representation of such systems, described by an intricate web of relationships across multiple scales, is provided by complex networks. Recently, several…

Quantitative Methods · Quantitative Biology 2018-02-06 M. De Domenico

Modern communication networks are inherently complex in nature. First of all, they have a large number of heterogeneous components. Secondly, their connectivity is extremely dynamic. Nodes can come and go, links can be removed and added…

Social and Information Networks · Computer Science 2017-08-08 Bisma S. Khan , Muaz A. Niazi

We have witnessed an exponential growth in commercial data services, which has lead to the 'big data era'. Machine learning, as one of the most promising artificial intelligence tools of analyzing the deluge of data, has been invoked in…

Networking and Internet Architecture · Computer Science 2019-12-16 Yuanwei Liu , Suzhi Bi , Zhiyuan Shi , Lajos Hanzo

The field of neuroscience is facing an unprecedented expanse in the volume and diversity of available data. Traditionally, network models have provided key insights into the structure and function of the brain. With the advent of big data…

Neurons and Cognition · Quantitative Biology 2018-02-14 Michael Vaiana , Sarah Muldoon

The increasing power of computer technology does not dispense with the need to extract meaningful in- formation out of data sets of ever growing size, and indeed typically exacerbates the complexity of this task. To tackle this general…

Physics and Society · Physics 2016-06-22 M. Zanin , D. Papo , P. A. Sousa , E. Menasalvas , A. Nicchi , E. Kubik , S. Boccaletti