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In the study of infectious diseases on networks, researchers calculate epidemic thresholds to help forecast whether a disease will eventually infect a large fraction of a population. Because network structure typically changes in time,…

Social and Information Networks · Computer Science 2021-08-11 Qinyi Chen , Mason A. Porter

Explosive growth in spatio-temporal data and its wide range of applications have attracted increasing interests of researchers in the statistical and machine learning fields. The spatio-temporal regression problem is of paramount importance…

Machine Learning · Computer Science 2020-09-15 Aniruddha Rajendra Rao , Qiyao Wang , Haiyan Wang , Hamed Khorasgani , Chetan Gupta

We investigate disease spreading on eight empirical data sets of human contacts (mostly proximity networks recording who is close to whom, at what time). We compare three levels of representations of these data sets: temporal networks,…

Populations and Evolution · Quantitative Biology 2016-09-14 Petter Holme

Cascade models based on dynamical complex networks are proposed as models of turbulent energy cascade. Taking a simple shell model as the initial regular lattice with only nearest neighbor interactions, small world network models are…

Fluid Dynamics · Physics 2021-07-28 Özgür D. Gürcan

Although the spike-trains in neural networks are mainly constrained by the neural dynamics itself, global temporal constraints (refractoriness, time precision, propagation delays, ..) are also to be taken into account. These constraints are…

Adaptation and Self-Organizing Systems · Physics 2009-03-20 Bruno Cessac , Olivier Rochel , Thierry Viéville

It is well-known that biological and social interaction networks have a varying degree of redundancy, though a consensus of the precise cause of this is so far lacking. In this paper, we introduce a topological redundancy measure for…

A new representation of splines that targets efficiency in the analysis of functional data is implemented. The efficiency is achieved through two novel features: using the recently introduced orthonormal spline bases, the so-called {\it…

Computation · Statistics 2024-09-30 Krzysztof Podgórski

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

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

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

Complex networks are the subject of fundamental interest from the scientific community at large. Several metrics have been introduced to characterize the structure of these networks, such as the degree distribution, degree correlation, path…

Physics and Society · Physics 2019-01-14 Francesco Sorrentino , Abu Bakar Siddique , Louis M. Pecora

Correlated fluctuations in the activity of neural populations reflect the network's dynamics and connectivity. The temporal and spatial dimensions of neural correlations are interdependent. However, prior theoretical work mainly analyzed…

Neurons and Cognition · Quantitative Biology 2022-07-19 Yan-Liang Shi , Roxana Zeraati , Anna Levina , Tatiana A. Engel

In this paper we study the problem of discovering a timeline of events in a temporal network. We model events as dense subgraphs that occur within intervals of network activity. We formulate the event-discovery task as an optimization…

Social and Information Networks · Computer Science 2018-09-17 Polina Rozenshtein , Francesco Bonchi , Aristides Gionis , Mauro Sozio , Nikolaj Tatti

Spiking Neural Networks (SNNs), as one of the algorithmic models in neuromorphic computing, have gained a great deal of research attention owing to temporal information processing capability, low power consumption, and high biological…

Neural and Evolutionary Computing · Computer Science 2023-06-07 Chengting Yu , Zheming Gu , Da Li , Gaoang Wang , Aili Wang , Erping Li

Here we consider the topological properties of the integrated networks emerging from the activity driven model [Perra at al. Sci. Rep. 2, 469 (2012)], a temporal network model recently proposed to explain the power-law degree distribution…

Statistical Mechanics · Physics 2015-06-15 Michele Starnini , Romualdo Pastor Satorras

Functional networks of complex systems are obtained from the analysis of the temporal activity of their components, and are often used to infer their unknown underlying connectivity. We obtain the equations relating topology and function in…

Disordered Systems and Neural Networks · Physics 2015-03-18 Víctor M. Eguíluz , Toni Pérez , Javier Borge-Holtoefer , Alex Arenas

Graph Convolutional Networks (GCNs), which model skeleton data as graphs, have obtained remarkable performance for skeleton-based action recognition. Particularly, the temporal dynamic of skeleton sequence conveys significant information in…

Computer Vision and Pattern Recognition · Computer Science 2020-12-17 Jianan Li , Xuemei Xie , Zhifu Zhao , Yuhan Cao , Qingzhe Pan , Guangming Shi

One popular technique to solve temporal planning problems consists in decoupling the causal decisions, demanding them to heuristic search, from temporal decisions, demanding them to a simple temporal network (STN) solver. In this…

Artificial Intelligence · Computer Science 2023-08-14 Andrea Micheli

Network inference has been extensively studied in several fields, such as systems biology and social sciences. Learning network topology and internal dynamics is essential to understand mechanisms of complex systems. In particular, sparse…

Machine Learning · Statistics 2022-06-13 Yasen Wang , Junyang Jin , Jorge Goncalves

When investigating the spreading of a piece of information or the diffusion of an innovation, we often lack information on the underlying propagation network. Reconstructing the hidden propagation paths based on the observed diffusion…

Social and Information Networks · Computer Science 2019-04-05 Hao Liao , Ming-Kai Liu , Manuel Sebastian Mariani , Mingyang Zhou , Xingtong Wu