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Embedding dyadic data into a latent space has long been a popular approach to modeling networks of all kinds. While clustering has been done using this approach for static networks, this paper gives two methods of community detection within…

Methodology · Statistics 2020-05-19 Daniel K. Sewell , Yuguo Chen

Dynamic networks represent the complex and evolving interrelationships between real-world entities. Given the scale and variability of these networks, finding an optimal slicing interval is essential for meaningful analysis. Nonuniform…

Human-Computer Interaction · Computer Science 2024-04-10 Seokweon Jung , DongHwa Shin , Hyeon Jeon , Jinwook Seo

Graph Signal Processing generalizes classical signal processing to signal or data indexed by the vertices of a weighted graph. So far, the research efforts have been focused on static graph signals. However numerous applications involve…

Machine Learning · Computer Science 2016-06-22 Francesco Grassi , Nathanael Perraudin , Benjamin Ricaud

Graph models provide efficient tools to capture the underlying structure of data defined over networks. Many real-world network topologies are subject to change over time. Learning to model the dynamic interactions between entities in such…

Machine Learning · Computer Science 2025-01-03 Amirhossein Javaheri , Jiaxi Ying , Daniel P. Palomar , Farokh Marvasti

The detection of community structure in networks is intimately related to finding a concise description of the network in terms of its modules. This notion has been recently exploited by the Map equation formalism (M. Rosvall and C.T.…

Physics and Society · Physics 2015-03-19 Michael T. Schaub , Renaud Lambiotte , Mauricio Barahona

Community detection in graphs has many important and fundamental applications including in distributed systems, compression, image segmentation, divide-and-conquer graph algorithms such as nested dissection, document and word clustering,…

Social and Information Networks · Computer Science 2019-06-18 Ryan A. Rossi , Nesreen K. Ahmed , Eunyee Koh , Sungchul Kim

The topology of social networks can be understood as being inherently dynamic, with edges having a distinct position in time. Most characterizations of dynamic networks discretize time by converting temporal information into a sequence of…

Data Analysis, Statistics and Probability · Physics 2012-12-03 Aaron Clauset , Nathan Eagle

The customary perspective to reason about epidemic mitigation in temporal networks hinges on the identification of nodes with specific features or network roles. The ensuing individual-based control strategies, however, are difficult to…

Physics and Society · Physics 2015-01-13 Laetitia Gauvin , André Panisson , Alain Barrat , Ciro Cattuto

Not all nodes in a network are created equal. Differences and similarities exist at both individual node and group levels. Disentangling single node from group properties is crucial for network modeling and structural inference. Based on…

Statistical Mechanics · Physics 2015-05-20 Joerg Reichardt , Roberto Alamino , David Saad

This study examines long-term trends and shifting behavior in the collaboration network of mathematics literature, using a subset of data from Mathematical Reviews spanning 1985-2009. Rather than modeling the network cumulatively, this…

For data represented by networks, the community structure of the underlying graph is of great interest. A classical clustering problem is to uncover the overall ``best'' partition of nodes in communities. Here, a more elaborate description…

Physics and Society · Physics 2013-11-11 Nicolas Tremblay , Pierre Borgnat

Stream graphs are a very useful mode of representation for temporal network data, whose richness offers a wide range of possible approaches. The various methods aimed at generalising the classical approaches applied to static networks are…

Social and Information Networks · Computer Science 2021-04-14 Mehdi Djellabi , Bertrand Jouve

Understanding pattern formation in crossing pedestrian flows is essential for analyzing and managing high-density crowd dynamics in urban environments. This study presents two complementary methodological approaches to detect and…

Physics and Society · Physics 2025-04-24 Piotr Nyczka , Pratik Mullick

Increased attention has been paid over the last four years to dynamic network embedding. Existing dynamic embedding methods, however, consider the problem as limited to the evolution of a topology over a sequence of global, discrete states.…

Machine Learning · Computer Science 2021-11-23 David Bayani

Graphs are widely used in various fields of computer science. They have also found application in unrelated areas, leading to a diverse range of problems. These problems can be modeled as relationships between entities in various contexts,…

Data Structures and Algorithms · Computer Science 2024-05-20 Davide Rucci

A great variety of systems in nature, society and technology -- from the web of sexual contacts to the Internet, from the nervous system to power grids -- can be modeled as graphs of vertices coupled by edges. The network structure,…

Adaptation and Self-Organizing Systems · Physics 2012-10-10 Petter Holme , Jari Saramäki

Researchers have devoted themselves to exploring static features of social networks and further discovered many representative characteristics, such as power law in the degree distribution and assortative value used to differentiate social…

Physics and Society · Physics 2008-04-29 Yi Wang , Bin Wu , Nan Du

The analysis of multilayer networks is among the most active areas of network science, and there are now several methods to detect dense "communities" of nodes in multilayer networks. One way to define a community is as a set of nodes that…

Social and Information Networks · Computer Science 2016-05-24 Lucas G. S. Jeub , Michael W. Mahoney , Peter J. Mucha , Mason A. Porter

Most methods proposed to uncover communities in complex networks rely on combinatorial graph properties. Usually an edge-counting quality function, such as modularity, is optimized over all partitions of the graph compared against a null…

Physics and Society · Physics 2015-02-17 Renaud Lambiotte , Jean-Charles Delvenne , Mauricio Barahona

Temporal social networks of human interactions are preponderant in understanding the fundamental patterns of human behavior. In these networks, interactions occur locally between individuals (i.e., nodes) who connect with each other at…

Physics and Society · Physics 2022-10-11 Shaunette T. Ferguson , Teruyoshi Kobayashi
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