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The structure of social relations is fundamental for the construction of plausible simulation scenarios. It shapes the way actors interact and create their identity within overlapping social contexts. Each actor interacts in multiple…

Multiagent Systems · Computer Science 2015-09-14 Davide Nunes , Luis Antunes

Multiplex networks are a powerful framework for representing systems with multiple types of interactions among a common set of entities. Understanding their structure requires statistical tools capturing higher-order cross-layer…

Statistics Theory · Mathematics 2026-03-30 Karl Sawaya , Sofia Olhede

Multilayer networks are a useful way to capture and model multiple, binary or weighted relationships among a fixed group of objects. While community detection has proven to be a useful exploratory technique for the analysis of single-layer…

Social and Information Networks · Computer Science 2017-11-09 James D. Wilson , John Palowitch , Shankar Bhamidi , Andrew B. Nobel

Many recent developments in network analysis have focused on multilayer networks, which one can use to encode time-dependent interactions, multiple types of interactions, and other complications that arise in complex systems. Like their…

Social and Information Networks · Computer Science 2021-01-04 A. Roxana Pamfil , Sam D. Howison , Mason A. Porter

As deep learning systems are scaled up to many billions of parameters, relating their internal structure to external behaviors becomes very challenging. Although daunting, this problem is not new: Neuroscientists and cognitive scientists…

Relational information between different types of entities is often modelled by a multilayer network (MLN) -- a network with subnetworks represented by layers. The layers of an MLN can be arranged in different ways in a visual…

Understanding the structural complexity and predictability of complex networks is a central challenge in network science. Although recent studies have revealed a relationship between compression-based entropy and link prediction…

Social and Information Networks · Computer Science 2025-10-14 Sebastián Brzovic , Cristóbal Rojas , Andrés Abeliuk

Many biological and man-made networked systems are characterized by the simultaneous presence of different sub-networks organized in separate layers, with links and nodes of qualitatively different types. While during the past few years…

In multiplex networks with a large number of layers, the nodes can have different activities, indicating the total number of layers in which the nodes are present. Here we model multiplex networks with heterogeneous activity of the nodes…

Physics and Society · Physics 2016-03-15 Davide Cellai , Ginestra Bianconi

Multilayer and multiplex networks are becoming common network data sets in recent times. We consider the problem of identifying the common community structure for a special type of multilayer networks called multi-relational networks. We…

Social and Information Networks · Computer Science 2020-04-08 Sharmodeep Bhattacharyya , Shirshendu Chatterjee

Systematic relations between multiple objects that occur in various fields can be represented as networks. Real-world networks typically exhibit complex topologies whose structural properties are key factors in characterizing and further…

Physics and Society · Physics 2021-04-09 Yoshihisa Tanaka , Ryosuke Kojima , Shoichi Ishida , Fumiyoshi Yamashita , Yasushi Okuno

Can multilayer neural networks -- typically constructed as highly complex structures with many nonlinearly activated neurons across layers -- behave in a non-trivial way that yet simplifies away a major part of their complexities? In this…

Machine Learning · Computer Science 2019-02-11 Phan-Minh Nguyen

Perceptual learning enables humans to recognize and represent stimuli invariant to various transformations and build a consistent representation of the self and physical world. Such representations preserve the invariant physical relations…

Neural and Evolutionary Computing · Computer Science 2020-07-02 Du Xiaorui , Yavuzhan Erdem , Immanuel Schweizer , Cristian Axenie

Identifying the most influential spreaders is important to understand and control the spreading process in a network. As many real-world complex systems can be modeled as multilayer networks, the question of identifying important nodes in…

Physics and Society · Physics 2021-01-08 Qi Zeng , Ying Liu , Liming Pan , Ming Tang

From critical infrastructure, to physiology and the human brain, complex systems rarely occur in isolation. Instead, the functioning of nodes in one system often promotes or suppresses the functioning of nodes in another. Despite advances…

Statistical Mechanics · Physics 2019-02-20 Michael M. Danziger , Ivan Bonamassa , Stefano Boccaletti , Shlomo Havlin

Networks are a powerful tool to model complex systems, and the definition of many Graph Neural Networks (GNN), Deep Learning algorithms that can handle networks, has opened a new way to approach many real-world problems that would be hardly…

Machine Learning · Computer Science 2021-09-28 Marco Grassia , Manlio De Domenico , Giuseppe Mangioni

The study of the sub-structure of complex networks is of major importance to relate topology and functionality. Many efforts have been devoted to the analysis of the modular structure of networks using the quality function known as…

Data Analysis, Statistics and Probability · Physics 2011-07-01 Belkacem Serrour , Alex Arenas , Sergio Gomez

Networks in the real world do not exist as isolated entities, but they are often part of more complicated structures composed of many interconnected network layers. Recent studies have shown that such mutual dependence makes real networked…

Physics and Society · Physics 2014-04-23 Filippo Radicchi

To understand the controllability of complex networks is a forefront problem relevant to different fields of science and engineering. Despite recent advances in network controllability theories, an outstanding issue is to understand the…

Physics and Society · Physics 2016-07-01 Zhesi Shen , Wen-Xu Wang , Chen Zhao , Ying-Cheng Lai

Multiplex networks are a type of multilayer network in which entities are connected to each other via multiple types of connections. We propose a method, based on computing pairwise similarities between layers and then doing community…

Physics and Society · Physics 2017-09-20 Ta-Chu Kao , Mason A. Porter