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To understand the formation, evolution, and function of complex systems, it is crucial to understand the internal organization of their interaction networks. Partly due to the impossibility of visualizing large complex networks, resolving…

Physics and Society · Physics 2011-11-30 Takashi Nishikawa , Adilson E. Motter

Most complex systems can be captured by graphs or networks. Networks connect nodes (e.g.\ neurons) through edges (synapses), thus summarizing the system's structure. A popular way of interrogating graphs is community detection, which…

Physics and Society · Physics 2024-09-23 Luis F Seoane

Humans interact through numerous channels to build and maintain social connections: they meet face-to-face, initiate phone calls or send text messages, and interact via social media. Although it is known that the network of physical…

Social and Information Networks · Computer Science 2016-11-16 Enys Mones , Arkadiusz Stopczynski , Sune Lehmann

In evolutionary studies it is common to use phylogenetic trees to represent the evolutionary history of a set of species. However, in case the transfer of genes or other genetic information between the species or their ancestors has…

Combinatorics · Mathematics 2022-02-15 Katharina T. Huber , Vincent Moulton , Guillaume E. Scholz

Several approaches to cognition and intelligence research rely on statistics-based models testing, namely factor analysis. In the present work we exploit the emerging dynamical systems perspective putting the focus on the role of the…

Physics and Society · Physics 2018-03-15 Gemma Rosell-Tarragó , Emanuele Cozzo , Albert Díaz-Guilera

A number of network structural characteristics have recently been the subject of particularly intense research, including degree distributions, community structure, and various measures of vertex centrality, to mention only a few. Vertices…

Social and Information Networks · Computer Science 2016-03-23 Igor Trpevski , Tamara Dimitrova , Tommy Boshkovski , Ljupco Kocarev

Given their importance in shaping social networks and determining how information or diseases propagate in a population, human interactions are the subject of many data collection efforts. To this aim, different methods are commonly used,…

Physics and Society · Physics 2015-09-03 Rossana Mastrandrea , Julie Fournet , Alain Barrat

Many real-world networks describe systems in which interactions decay with the distance between nodes. Examples include systems constrained in real space such as transportation and communication networks, as well as systems constrained in…

Statistical Mechanics · Physics 2009-11-10 Shalev Itzkovitz , Uri Alon

Many innovations are inspired by past ideas in a non-trivial way. Tracing these origins and identifying scientific branches is crucial for research inspirations. In this paper, we use citation relations to identify the descendant chart,…

Physics and Society · Physics 2015-05-30 S. Gualdi , C. H. Yeung , Y. -C. Zhang

The acknowledged model for networks of collaborations is the hypergraph model. Nonetheless when it comes to be visualized hypergraphs are transformed into simple graphs. Very often, the transformation is made by clique expansion of the…

Social and Information Networks · Computer Science 2017-07-04 Xavier Ouvrard , Jean-Marie Le Goff , Stéphane Marchand-Maillet

Network-based modeling of complex systems and data using the language of graphs has become an essential topic across a range of different disciplines. Arguably, this graph-based perspective derives its success from the relative simplicity…

Social and Information Networks · Computer Science 2023-08-11 Christian Bick , Elizabeth Gross , Heather A. Harrington , Michael T. Schaub

Network models describe the brain as sets of nodes and edges that represent its distributed organization. So far, most discoveries in network neuroscience have prioritized insights that highlight distinct groupings and specialized…

Neurons and Cognition · Quantitative Biology 2021-05-18 Joshua Faskowitz , Richard F. Betzel , Olaf Sporns

We propose Causal Interaction Trees for identifying subgroups of participants that have enhanced treatment effects using observational data. We extend the Classification and Regression Tree algorithm by using splitting criteria that focus…

Methodology · Statistics 2021-12-08 Jiabei Yang , Issa J. Dahabreh , Jon A. Steingrimsson

Evolving trees arise in many real-life scenarios from computer file systems and dynamic call graphs, to fake news propagation and disease spread. Most layout algorithms for static trees do not work well in an evolving setting (e.g., they…

Computational Geometry · Computer Science 2022-08-29 Kathryn Gray , Mingwei Li , Reyan Ahmed , Stephen Kobourov

Exposing latent knowledge in geospatial trajectories has the potential to provide a better understanding of the movements of individuals and groups. Motivated by such a desire, this work presents the context tree, a new hierarchical data…

Data Structures and Algorithms · Computer Science 2016-10-12 Alasdair Thomason , Nathan Griffiths , Victor Sanchez

Bayesian networks faithfully represent the symmetric conditional independences existing between the components of a random vector. Staged trees are an extension of Bayesian networks for categorical random vectors whose graph represents…

Machine Learning · Statistics 2022-03-10 Manuele Leonelli , Gherardo Varando

We investigate the properties of the spanning trees of various real-world and model networks. The spanning tree representing the communication kernel of the original network is determined by maximizing total weight of edges, whose weights…

Statistical Mechanics · Physics 2007-05-23 Dong-Hee Kim , Jae Dong Noh , Hawoong Jeong

A Concept Tree is a structure for storing knowledge where the trees are stored in a database called a Concept Base. It sits between the highly distributed neural architectures and the distributed information systems, with the intention of…

Artificial Intelligence · Computer Science 2020-04-07 Kieran Greer

Creating new ties in a social network facilitates knowledge exchange and affects positional advantage. In this paper, we study the process, which we call network building, of establishing ties between two existing social networks in order…

Social and Information Networks · Computer Science 2016-05-13 Anastasia Moskvina , Jiamou Liu

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