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Multilayer network analysis has become a vital tool for understanding different relationships and their interactions in a complex system, where each layer in a multilayer network depicts the topological structure of a group of nodes…

Social and Information Networks · Computer Science 2017-09-18 Weiyi Liu , Pin-Yu Chen , Sailung Yeung , Toyotaro Suzumura , Lingli Chen

Modern network datasets are often composed of multiple layers, either as different views, time-varying observations, or independent sample units, resulting in collections of networks over the same set of vertices but with potentially…

Statistics Theory · Mathematics 2025-06-05 Joshua Agterberg , Zachary Lubberts , Jesús Arroyo

Multilayer graphs are commonly used for representing different relations between entities and handling heterogeneous data processing tasks. New challenges arise in multilayer graph clustering for assigning clusters to a common multilayer…

Machine Learning · Computer Science 2018-02-15 Pin-Yu Chen , Alfred O. Hero

We use statistically validated networks, a recently introduced method to validate links in a bipartite system, to identify clusters of investors trading in a financial market. Specifically, we investigate a special database allowing to…

Trading and Market Microstructure · Quantitative Finance 2015-05-28 Michele Tumminello , Fabrizio Lillo , Jyrki Piilo , Rosario N. Mantegna

We investigate the trading behavior of Finnish individual investors trading the stocks selected to compute the OMXH25 index in 2003 by tracking the individual daily investment decisions. We verify that the set of investors is a highly…

Trading and Market Microstructure · Quantitative Finance 2021-08-30 Federico Musciotto , Luca Marotta , Salvatore Miccichè , Jyrki Piilo , Rosario N. Mantegna

Financial institutions increasingly require scalable tools to analyse complex transactional networks, yet traditional graph embedding methods struggle with dynamic, real-world banking data. This paper demonstrates the practical application…

Machine Learning · Computer Science 2025-09-17 Mihir Tare , Clemens Rattasits , Yiming Wu , Euan Wielewski

Multilayer networks are a useful data structure for simultaneously capturing multiple types of relationships between a set of nodes. In such networks, each relational definition gives rise to a layer. While each layer provides its own set…

Social and Information Networks · Computer Science 2016-10-21 Natalie Stanley , Saray Shai , Dane Taylor , Peter J. Mucha

Observational data usually comes with a multimodal nature, which means that it can be naturally represented by a multi-layer graph whose layers share the same set of vertices (users) with different edges (pairwise relationships). In this…

Machine Learning · Computer Science 2015-08-31 Xiaowen Dong , Pascal Frossard , Pierre Vandergheynst , Nikolai Nefedov

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

Bootstrap aggregation, known as bagging, is one of the most popular ensemble methods used in machine learning (ML). An ensemble method is a ML method that combines multiple hypotheses to form a single hypothesis used for prediction. A…

Machine Learning · Computer Science 2021-08-18 Jeremy Charlier , Vladimir Makarenkov

Relationship between agents can be conveniently represented by graphs. When these relationships have different modalities, they are better modelled by multilayer graphs where each layer is associated with one modality. Such graphs arise…

Machine Learning · Statistics 2021-03-05 Guillaume Braun , Hemant Tyagi , Christophe Biernacki

Structure inference is an important task for network data processing and analysis in data science. In recent years, quite a few approaches have been developed to learn the graph structure underlying a set of observations captured in a data…

Machine Learning · Computer Science 2020-04-16 Eda Bayram , Dorina Thanou , Elif Vural , Pascal Frossard

We introduce a methodology based on averaging similarity matrices with the aim of integrating the layers of a multiplex network into a single monoplex network. Multiplex networks are adopted for modelling a wide variety of real-world…

Physics and Society · Physics 2025-04-30 Federica Baccini , Lucio Barabesi , Eugenio Petrovich

The increasing availability of time --and space-- resolved data describing human activities and interactions gives insights into both static and dynamic properties of human behavior. In practice, nevertheless, real-world datasets can often…

Physics and Society · Physics 2013-11-27 Nicolas Tremblay , Alain Barrat , Cary Forest , Mark Nornberg , Jean-François Pinton , Pierre Borgnat

We describe two different bootstrap methods applied to the detection of a minimum spanning tree obtained from a set of multivariate variables. We show that two different bootstrap procedures provide partly distinct information that can be…

Methodology · Statistics 2021-08-25 Federico Musciotto , Luca Marotta , Salvatore Miccichè , Rosario N. Mantegna

The rapidly increasing availability of large amounts of granular financial data, paired with the advances of big data related technologies induces the need of suitable analytics that can represent and extract meaningful information from…

Statistical Finance · Quantitative Finance 2026-01-07 Ilias Aarab , Thomas Gottron

Network data appears in very diverse applications, like biological, social, or sensor networks. Clustering of network nodes into categories or communities has thus become a very common task in machine learning and data mining. Network data…

Machine Learning · Computer Science 2020-01-24 Mireille El Gheche , Giovanni Chierchia , Pascal Frossard

Multilayer networks are in the focus of the current complex network study. In such networks multiple types of links may exist as well as many attributes for nodes. To fully use multilayer -- and other types of complex networks in…

Physics and Society · Physics 2023-05-23 Hannu Reittu , Lasse Leskelä , Tomi Räty

Although much of the focus of statistical works on networks has been on static networks, multiple networks are currently becoming more common among network data sets. Usually, a number of network data sets, which share some form of…

Methodology · Statistics 2018-05-29 Sharmodeep Bhattacharyya , Shirshendu Chatterjee

This paper proposes a multilayer graph model for the community detection from multiple observations. This is a very frequent situation, when different estimators are applied to infer graph edges from signals at its nodes, or when different…

Neurons and Cognition · Quantitative Biology 2024-10-23 Tiziana Cattai , Gaetano Scarano , Marie-Constance Corsi , Fabrizio De Vico Fallani , Stefania Colonnese
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