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Multilayer networks preserve full information about the different interactions among the constituents of a complex system, and have recently proven quite useful in modelling transportation networks, social circles, and the human brain. A…

Physics and Society · Physics 2020-06-29 Andrea Santoro , Vincenzo Nicosia

Network theory has proven to be a powerful tool in describing and analyzing systems by modelling the relations between their constituent objects. In recent years great progress has been made by augmenting `traditional' network theory.…

Data Analysis, Statistics and Probability · Physics 2016-06-03 Dominik Traxl , Niklas Boers , Jürgen Kurths

Patterns stored within pre-trained deep neural networks compose large and powerful descriptive languages that can be used for many different purposes. Typically, deep network representations are implemented within vector embedding spaces,…

Neural and Evolutionary Computing · Computer Science 2017-08-10 Dario Garcia-Gasulla , Armand Vilalta , Ferran Parés , Jonatan Moreno , Eduard Ayguadé , Jesus Labarta , Ulises Cortés , Toyotaro Suzumura

Network structure provides critical information for understanding the dynamic behavior of networks. However, the complete structure of real-world networks is often unavailable, thus it is crucially important to develop approaches to infer a…

Social and Information Networks · Computer Science 2023-01-11 Jin-Zhu Yu , Mincheng Wu , Gisela Bichler , Felipe Aros-Vera , Jianxi Gao

Research on graph representation learning has received great attention in recent years. However, most of the studies so far have focused on the embedding of single-layer graphs. The few studies dealing with the problem of representation…

Machine Learning · Computer Science 2022-06-28 Luca Gallo , Vito Latora , Alfredo Pulvirenti

Hyperbolic geometry has emerged as an effective latent space for representing complex networks, owing to its ability to capture hierarchical organization and heterogeneous connectivity patterns using low-dimensional embeddings. As a result,…

Machine Learning · Computer Science 2026-05-01 Sofía Pérez Casulo , Marcelo Fiori , Bernardo Marenco , Federico Larroca

Multiplex networks describe a large variety of complex systems, whose elements (nodes) can be connected by different types of interactions forming different layers (networks) of the multiplex. Multiplex networks include social networks,…

Physics and Society · Physics 2015-10-29 Jacopo Iacovacci , Zhihao Wu , Ginestra Bianconi

With the widespread use of information technologies, information networks are becoming increasingly popular to capture complex relationships across various disciplines, such as social networks, citation networks, telecommunication networks,…

Social and Information Networks · Computer Science 2018-07-20 Daokun Zhang , Jie Yin , Xingquan Zhu , Chengqi Zhang

Network embedding is a fervid topic in current networks science and observes that most real complex systems can be embedded in hidden metrics space and emerge as the geometrical property, where the geometric distance between nodes…

Physics and Society · Physics 2020-04-28 Zongning Wu , Zengru Di , Ying Fan

Graph embedding is a transformation of nodes of a network into a set of vectors. A good embedding should capture the underlying graph topology and structure, node-to-node relationship, and other relevant information about the graph, its…

Social and Information Networks · Computer Science 2021-12-02 Bogumił Kamiński , Łukasz Kraiński , Paweł Prałat , François Théberge

Latent space models are frequently used for modeling single-layer networks and include many popular special cases, such as the stochastic block model and the random dot product graph. However, they are not well-developed for more complex…

Methodology · Statistics 2021-07-09 Peter W. MacDonald , Elizaveta Levina , Ji Zhu

This tutorial covers a few recent papers in the field of network embedding. Network embedding is a collective term for techniques for mapping graph nodes to vectors of real numbers in a multidimensional space. To be useful, a good embedding…

Social and Information Networks · Computer Science 2019-10-17 Boaz Shmueli

Real world complex networks often exhibit multiplex structure, connecting entities from different aspects of physical systems such as social, transportation and biological networks. Little is known about general properties of such networks…

Social and Information Networks · Computer Science 2019-11-28 Blaž Škrlj , Benjamin Renoust

Multiplex network embedding is an effective technique to jointly learn the low-dimensional representations of nodes across network layers. However, the number of edges among layers may vary significantly. This data imbalance will lead to…

Social and Information Networks · Computer Science 2023-01-02 Kejia Chen , Yinchu Qiu , Zheng Liu

Graph Nerual Networks (GNNs) are effective models in graph embedding. It extracts shallow features and neighborhood information by aggregating neighbor information to learn the embedding representation of different nodes. However, the local…

Social and Information Networks · Computer Science 2023-12-14 Kejia Zhang

Many data-rich industries are interested in the efficient discovery and modelling of structures underlying large data sets, as it allows for the fast triage and dimension reduction of large volumes of data embedded in high dimensional…

Algebraic Topology · Mathematics 2019-09-30 Yossi Bokor , Daniel Grixti-Cheng , Markus Hegland , Stephen Roberts , Katharine Turner

Network embedding has attracted an increasing attention over the past few years. As an effective approach to solve graph mining problems, network embedding aims to learn a low-dimensional feature vector representation for each node of a…

Social and Information Networks · Computer Science 2020-08-10 Xiao Shen , Fu-Lai Chung

Multilayer networks offer a powerful framework for modeling complex systems across diverse domains, effectively capturing multiple types of connections and interdependent subsystems commonly found in real world scenarios. To analyze these…

Social and Information Networks · Computer Science 2026-02-20 Martin Guillemaud , Vera Dinkelacker , Mario Chavez

Graph embedding is a transformation of nodes of a graph into a set of vectors. A~good embedding should capture the graph topology, node-to-node relationship, and other relevant information about the graph, its subgraphs, and nodes. If these…

Social and Information Networks · Computer Science 2022-06-22 Arash Dehghan-Kooshkghazi , Bogumił Kamiński , Łukasz Kraiński , Paweł Prałat , François Théberge

The fundamental concept of applying the system methodology to network analysis declares that network architecture should take into account services and applications which this network provides and supports. This work introduces a formal…

Networking and Internet Architecture · Computer Science 2015-09-03 Andrey A. Shchurov