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The event graph representation of temporal networks suggests that the connectivity of temporal structures can be mapped to a directed percolation problem. However, similar to percolation theory on static networks, this mapping is valid…

Physics and Society · Physics 2023-06-13 Arash Badie-Modiri , Abbas K. Rizi , Márton Karsai , Mikko Kivelä

Temporal networks model how the interaction between elements in a complex system evolve over time. Just like complex systems display collective dynamics, here we interpret temporal networks as trajectories performing a collective motion in…

Social and Information Networks · Computer Science 2022-10-18 Lucas Lacasa , Jorge P. Rodriguez , Victor M. Eguiluz

Characterizing bursty temporal interaction patterns of temporal networks is crucial to investigate the evolution of temporal networks as well as various collective dynamics taking place in them. The temporal interaction patterns have been…

Physics and Society · Physics 2019-07-31 Hang-Hyun Jo , Takayuki Hiraoka

We consider asynchronous message-passing systems in which some links are timely and processes may crash. Each run defines a timeliness graph among correct processes: (p; q) is an edge of the timeliness graph if the link from p to q is…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-18 Carole Delporte-Gallet , Stéphane Devismes , Hugues Fauconnier , Mikel Larrea

The ever increasing adoption of mobile technologies and ubiquitous services allows to sense human behavior at unprecedented levels of details and scale. Wearable sensors are opening up a new window on human mobility and proximity at the…

Physics and Society · Physics 2015-06-15 Alain Barrat , Ciro Cattuto

The application of network analysis has found great success in a wide variety of disciplines; however, the popularity of these approaches has revealed the difficulty in handling networks whose complexity scales rapidly. One of the main…

Methodology · Statistics 2023-10-24 Anna Malinovskaya , Philipp Otto

From longitudinal biomedical studies to social networks, graphs have emerged as a powerful framework for describing evolving interactions between agents in complex systems. In such studies, after pre-processing, the data can be represented…

Applications · Statistics 2018-03-12 Claire Donnat , Susan Holmes

Owing to the influence of real-world networks both in science and society, numerous mathematical models have been developed to understand the structure and evolution of these systems, particularly in a temporal context. Recent advancements…

Probability · Mathematics 2025-10-29 Sayan Banerjee , Shankar Bhamidi , Partha Dey , Akshay Sakanaveeti

We present here two promising techniques for the application of the complex network approach to continuous spatio-temporal systems that have been developed in the last decade and show large potential for future application and development…

Data Analysis, Statistics and Probability · Physics 2015-07-19 Norbert Marwan , Jürgen Kurths

The statistical modeling of random networks has been widely used to uncover interaction mechanisms in complex systems and to predict unobserved links in real-world networks. In many applications, network connections are collected via…

Social and Information Networks · Computer Science 2023-03-21 Angus Chan , Tianxi Li

A person's decision to adopt an idea or product is often driven by the decisions of peers, mediated through a network of social ties. A common way of modeling adoption dynamics is to use threshold models, where a node may become an adopter…

Physics and Society · Physics 2014-06-30 Ville-Pekka Backlund , Jari Saramäki , Raj Kumar Pan

With network data becoming ubiquitous in many applications, many models and algorithms for network analysis have been proposed. Yet methods for providing uncertainty estimates in addition to point estimates of network parameters are much…

Methodology · Statistics 2022-06-28 Qianhua Shan , Elizaveta Levina

We study the fundamental problem of sampling independent events, called subset sampling. Specifically, consider a set of $n$ events $S=\{x_1, \ldots, x_n\}$, where each event $x_i$ has an associated probability $p(x_i)$. The subset sampling…

Data Structures and Algorithms · Computer Science 2023-09-22 Lu Yi , Hanzhi Wang , Zhewei Wei

Link prediction in networks is typically accomplished by estimating or ranking the probabilities of edges for all pairs of nodes. In practice, especially for social networks, the data are often collected by egocentric sampling, which means…

Computation · Statistics 2018-03-14 Yun-Jhong Wu , Elizaveta Levina , Ji Zhu

Predictive process monitoring is concerned with the analysis of events produced during the execution of a business process in order to predict as early as possible the final outcome of an ongoing case. Traditionally, predictive process…

Machine Learning · Computer Science 2018-10-24 Irene Teinemaa , Marlon Dumas , Anna Leontjeva , Fabrizio Maria Maggi

We introduce a time-varying network model accounting for burstiness and tie reinforcement observed in social networks. The analytical solution indicates a non-trivial phase diagram determined by the competition of the leading terms of the…

Physics and Society · Physics 2018-08-02 Enrico Ubaldi , Alessandro Vezzani , Marton Karsai , Nicola Perra , Raffaella Burioni

In evolving complex systems such as air traffic and social organizations, collective effects emerge from their many components' dynamic interactions. While the dynamic interactions can be represented by temporal networks with nodes and…

Social and Information Networks · Computer Science 2017-09-21 Tiago P. Peixoto , Martin Rosvall

In this thesis we contribute to the understanding of the pivotal role of the temporal dimension in networked social systems, previously neglected and now uncovered by the data revolution recently blossomed in this field. To this aim, we…

Physics and Society · Physics 2016-08-15 Michele Starnini

Dynamic networks have intrinsic structural, computational, and multidisciplinary advantages. Link prediction estimates the next relationship in dynamic networks. However, in the current link prediction approaches, only bipartite or…

Social and Information Networks · Computer Science 2020-06-09 Mohamoud Ali , Yugyung Lee , Praveen Rao

We live in a world increasingly dominated by networks -- communications, social, information, biological etc. A central attribute of many of these networks is that they are dynamic, that is, they exhibit structural changes over time. While…

Networking and Internet Architecture · Computer Science 2010-12-02 Prithwish Basu , Amotz Bar-Noy , Ram Ramanathan , Matthew P. Johnson