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The topological information is essential for studying the relationship between nodes in a network. Recently, Network Representation Learning (NRL), which projects a network into a low-dimensional vector space, has been shown their…

Social and Information Networks · Computer Science 2019-02-19 Guoji Fu , Chengbin Hou , Xin Yao

A temporal graph is a graph in which vertices communicate with each other at specific time, e.g., $A$ calls $B$ at 11 a.m. and talks for 7 minutes, which is modeled by an edge from $A$ to $B$ with starting time "11 a.m." and duration "7…

Databases · Computer Science 2016-01-26 Huanhuan Wu , Yuzhen Huang , James Cheng , Jinfeng Li , Yiping Ke

Recently emerged Topological Deep Learning (TDL) methods aim to extend current Graph Neural Networks (GNN) by naturally processing higher-order interactions, going beyond the pairwise relations and local neighborhoods defined by graph…

A great variety of complex systems ranging from user interactions in communication networks to transactions in financial markets can be modeled as temporal graphs, which consist of a set of vertices and a series of timestamped and directed…

Social and Information Networks · Computer Science 2020-07-29 Jingjing Wang , Yanhao Wang , Wenjun Jiang , Yuchen Li , Kian-Lee Tan

In the context of the compressed sensing problem, we propose a new ensemble of sparse random matrices which allow one (i) to acquire and compress a {\rho}0-sparse signal of length N in a time linear in N and (ii) to perfectly recover the…

Information Theory · Computer Science 2013-04-15 Maria Chiara Angelini , Federico Ricci-Tersenghi , Yoshiyuki Kabashima

Spreading processes on graphs are a natural model for a wide variety of real-world phenomena, including information spread over social networks and biological diseases spreading over contact networks. Often, the networks over which these…

Data Structures and Algorithms · Computer Science 2021-02-12 Jessica Enright , Kitty Meeks , George B. Mertzios , Viktor Zamaraev

Finding patterns in graphs is a fundamental problem in databases and data mining. In many applications, graphs are temporal and evolve over time, so we are interested in finding durable patterns, such as triangles and paths, which persist…

Databases · Computer Science 2024-03-26 Pankaj K. Agarwal , Xiao Hu , Stavros Sintos , Jun Yang

Complex systems are large collections of entities that organize themselves into non-trivial structures that can be represented by networks. A key emergent property of such systems is robustness against random failures or targeted attacks…

Physics and Society · Physics 2021-06-14 Arsham Ghavasieh , Massimo Stella , Jacob Biamonte , Manlio De Domenico

In this paper I introduce a framework for modeling temporal communication networks and dynamical processes unfolding on such networks. The framework originates from the realization that there is a meaningful division of temporal…

Physics and Society · Physics 2019-07-24 Sune Lehmann

A social interaction (so-called higher-order event/interaction) can be regarded as the activation of the hyperlink among the corresponding individuals. Social interactions can be, thus, represented as higher-order temporal networks, that…

Physics and Society · Physics 2024-08-12 H. A. Bart Peters , Alberto Ceria , Huijuan Wang

When analyzing temporal networks, a fundamental task is the identification of dense structures (i.e., groups of vertices that exhibit a large number of links), together with their temporal span (i.e., the period of time for which the high…

Social and Information Networks · Computer Science 2018-08-30 Edoardo Galimberti , Alain Barrat , Francesco Bonchi , Ciro Cattuto , Francesco Gullo

We propose a procedure to generate dynamical networks with bursty, possibly repetitive and correlated temporal behaviors. Regarding any weighted directed graph as being composed of the accumulation of paths between its nodes, our…

Physics and Society · Physics 2013-04-10 Alain Barrat , Bastien Fernandez , Kevin K Lin , Lai-Sang Young

Given a dynamic network, where edges appear and disappear over time, we are interested in finding sets of edges that have similar temporal behavior and form a dense subgraph. Formally, we define the problem as the enumeration of the maximal…

Social and Information Networks · Computer Science 2021-03-02 Giulia Preti , Polina Rozenshtein , Aristides Gionis , Yannis Velegrakis

Hypergraphs, increasingly utilised to model complex and diverse relationships in modern networks, have gained significant attention for representing intricate higher-order interactions. Among various challenges, cohesive subgraph discovery…

Social and Information Networks · Computer Science 2025-07-14 Dahee Kim , Hyewon Kim , Song Kim , Minseok Kim , Junghoon Kim , Yeon-Chang Lee , Sungsu Lim

In many data sets, crucial elements co-exist with non-essential ones and noise. For data represented as networks in particular, several methods have been proposed to extract a "network backbone", i.e., the set of most important links.…

Physics and Society · Physics 2021-05-07 Charley Presigny , Petter Holme , Alain Barrat

We consider the problem of optimally compressing and caching data across a communication network. Given the data generated at edge nodes and a routing path, our goal is to determine the optimal data compression ratios and caching decisions…

Networking and Internet Architecture · Computer Science 2018-01-25 Jian Li , Faheem Zafari , Don Towsley , Kin K. Leung , Ananthram Swami

Temporal networks have gained significant prominence in the past decade for modelling dynamic interactions within complex systems. A key challenge in this domain is Temporal Link Prediction (TLP), which aims to forecast future connections…

Artificial Intelligence · Computer Science 2025-03-03 Jiafeng Xiong , Ahmad Zareie , Rizos Sakellariou

Current understanding of the critical outbreak condition on temporal networks relies on approximations (time scale separation, discretization) that may bias the results. We propose a theoretical framework to compute the epidemic threshold…

Physics and Society · Physics 2018-02-08 Eugenio Valdano , Michele Re Fiorentin , Chiara Poletto , Vittoria Colizza

Three fundamental elements to understand human information networks are the individuals (actors) in the network, the information they exchange, that is often observable online as text content (emails, social media posts, etc.), and the time…

Social and Information Networks · Computer Science 2018-06-26 Davide Vega , Matteo Magnani

Being fundamentally a non-equilibrium process, synchronization comes with unavoidable energy costs and has to be maintained under the constraint of limited resources. Such resource constraints are often reflected as a finite coupling budget…

Adaptation and Self-Organizing Systems · Physics 2021-06-02 Yuanzhao Zhang , Steven H. Strogatz
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