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We create a framework to analyse the timing and frequency of instantaneous interactions between pairs of entities. This type of interaction data is especially common nowadays, and easily available. Examples of instantaneous interactions…

Methodology · Statistics 2021-04-01 Riccardo Rastelli , Marco Corneli

Navigation on graphs is the problem how an agent walking on the graph can get from a source to a target with limited information about the graph. The information and the way to exploit it can vary. In this paper, we study navigation on…

Populations and Evolution · Quantitative Biology 2018-10-17 Sang Hoon Lee , Petter Holme

We consider paths in weighted and directed temporal networks, introducing tools to compute sets of paths of high probability. We quantify the relative importance of the most probable path between two nodes with respect to the whole set of…

Physics and Society · Physics 2015-08-05 Enrico Ser-Giacomi , Ruggero Vasile , Emilio Hernandez-Garcia , Cristobal Lopez

We study the emerging large-scale structures in networks subject to selective pressures that simultaneously drive towards higher modularity and robustness against random failures. We construct maximum-entropy null models that isolate the…

Physics and Society · Physics 2020-09-30 Sebastian Morel-Balbi , Tiago P. Peixoto

Reconstructing the structural connectivity between interacting units from observed activity is a challenge across many different disciplines. The fundamental first step is to establish whether or to what extent the interactions between the…

Neurons and Cognition · Quantitative Biology 2016-11-02 Elliot A. Martin , Jaroslav Hlinka , Jörn Davidsen

An information theoretic approach inspired by quantum statistical mechanics was recently proposed as a means to optimize network models and to assess their likelihood against synthetic and real-world networks. Importantly, this method does…

Statistical Mechanics · Physics 2018-09-12 Carlo Nicolini , Vladimir Vlasov , Angelo Bifone

Latent space models are powerful statistical tools for modeling and understanding network data. While the importance of accounting for uncertainty in network analysis has been well recognized, the current literature predominantly focuses on…

Statistics Theory · Mathematics 2025-08-15 Jinming Li , Shihao Wu , Chengyu Cui , Gongjun Xu , Ji Zhu

Graph mining to extract interesting components has been studied in various guises, e.g., communities, dense subgraphs, cliques. However, most existing works are based on notions of frequency and connectivity and do not capture subjective…

Social and Information Networks · Computer Science 2016-08-15 Hao Wu , Maoyuan Sun , Jilles Vreeken , Nikolaj Tatti , Chris North , Naren Ramakrishnan

One of the main challenges in the study of time-varying networks is the interplay of memory effects with structural heterogeneity. In particular, different nodes and dyads can have very different statistical properties in terms of both link…

Physics and Society · Physics 2026-04-20 Giulio Virginio Clemente , Claudio J. Tessone , Diego Garlaschelli

We analyze complexity in spatial network ensembles through the lens of graph entropy. Mathematically, we model a spatial network as a soft random geometric graph, i.e., a graph with two sources of randomness, namely nodes located randomly…

Physics and Society · Physics 2018-05-02 Justin P. Coon , Carl P. Dettmann , Orestis Georgiou

Many social and biological systems are characterized by enduring hierarchies, including those organized around prestige in academia, dominance in animal groups, and desirability in online dating. Despite their ubiquity, the general…

Social and Information Networks · Computer Science 2022-04-27 Mari Kawakatsu , Philip S. Chodrow , Nicole Eikmeier , Daniel B. Larremore

Existing tensor network models of holography are limited to representing the geometry of constant time slices of static spacetimes. We study the possibility of describing the geometry of a dynamic spacetime using tensor networks. We find it…

High Energy Physics - Theory · Physics 2019-10-24 Alex May

Interactions between people are the basis on which the structure of our society arises as a complex system and, at the same time, are the starting point of any physical description of it. In the last few years, much theoretical research has…

Computer Science and Game Theory · Computer Science 2017-12-06 Mattia Mazzoli , Angel Sanchez

Complex systems are very often organized under the form of networks where nodes and edges are embedded in space. Transportation and mobility networks, Internet, mobile phone networks, power grids, social and contact networks, neural…

Statistical Mechanics · Physics 2015-05-20 Marc Barthelemy

We demonstrate the application of the multiplex networks-approach for the analysis of various networks which connected individuals and communities in the politically highly fragmented late medieval Balkans (1204-1453 AD) within and across…

Physics and Society · Physics 2017-03-23 Johannes Preiser-Kapeller

Temporal networks of face-to-face interactions between individuals are useful proxies of the dynamics of social systems on fast time scales. Several empirical statistical properties of these networks have been shown to be robust across a…

Physics and Society · Physics 2023-02-03 Didier Le Bail , Mathieu Génois , Alain Barrat

Graphical models are widely used to make inferences concerning interplay in multivariate systems. In many applications, data are collected from multiple related but nonidentical units whose underlying networks may differ but are likely to…

Methodology · Statistics 2014-12-04 Chris J. Oates , Jim Korkola , Joe W. Gray , Sach Mukherjee

Understanding the structure of relationships between objects in a given database is one of the most important problems in the field of data mining. The structure can be defined for a set of single objects (clustering) or a set of groups of…

Instrumentation and Methods for Astrophysics · Physics 2011-11-22 Hesam T. Dashti , Mary E. Kloc , Tiago Simas , Rita A. Ribeiro , Amir H. Assadi

Temporal networks are widely used models for describing the architecture of complex systems. Network memory -- that is the dependence of a temporal network's structure on its past -- has been shown to play a prominent role in diffusion,…

Physics and Society · Physics 2020-04-28 Oliver E. Williams , Lucas Lacasa , Ana P. Millán , Vito Latora

Ecological systems show a variety of characteristic patterns of biodiversity in space and time. It is a challenge for theory to find models that can reproduce and explain the observed patterns. Since the advent of island biogeography these…

Populations and Evolution · Quantitative Biology 2019-10-21 Michaela Hamm , Barbara Drossel