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Related papers: Network reconstruction from infection cascades

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We propose a novel method of reconstructing the topology and interaction functions for a general oscillator network. An ensemble of initial phases and the corresponding instantaneous frequencies is constructed by repeating random…

Chaotic Dynamics · Physics 2015-05-20 Zoran Levnajić , Arkady Pikovsky

Network representation learning has exploded recently. However, existing studies usually reconstruct networks as sequences or matrices, which may cause information bias or sparsity problem during model training. Inspired by a cognitive…

Machine Learning · Computer Science 2019-10-01 Jie Bai , Linjing Li , Daniel Zeng

Network reconstruction is the task of inferring the unseen interactions between elements of a system, based only on their behavior or dynamics. This inverse problem is in general ill-posed, and admits many solutions for the same…

Machine Learning · Statistics 2025-03-12 Tiago P. Peixoto

Information diffusion and virus propagation are fundamental processes taking place in networks. While it is often possible to directly observe when nodes become infected with a virus or adopt the information, observing individual…

Data Structures and Algorithms · Computer Science 2015-03-17 Manuel Gomez-Rodriguez , Jure Leskovec , Andreas Krause

Individual-based models of contagious processes are useful for predicting epidemic trajectories and informing intervention strategies. In such models, the incorporation of contact network information can capture the non-randomness and…

Populations and Evolution · Quantitative Biology 2023-11-09 Maxwell H. Wang , Jukka-Pekka Onnela

The network inference problem consists of reconstructing the edge set of a network given traces representing the chronology of infection times as epidemics spread through the network. This problem is a paradigmatic representative of…

Data Structures and Algorithms · Computer Science 2013-08-14 Bruno Abrahao , Flavio Chierichetti , Robert Kleinberg , Alessandro Panconesi

Given a subset of active nodes in a network can we re- construct the cascade that has generated these observa- tions? This is a problem that has been studied in the literature, but here we focus in the case that tempo- ral information is…

Social and Information Networks · Computer Science 2019-02-05 Han Xiao , Polina Rozenshtein , Nikolaj Tatti , Aristides Gionis

When a piece of malicious information becomes rampant in an information diffusion network, can we identify the source node that originally introduced the piece into the network and infer the time when it initiated this? Being able to do so…

Social and Information Networks · Computer Science 2015-01-28 Mehrdad Farajtabar , Manuel Gomez-Rodriguez , Nan Du , Mohammad Zamani , Hongyuan Zha , Le Song

We study the dynamics of secondary infections on networks, in which only the individuals currently carrying a certain primary infection are susceptible to the secondary infection. In the limit of large sparse networks, the model is mapped…

Probability · Mathematics 2018-05-23 Sam Moore , Peter Mörters , Tim Rogers

Network models are widely used to represent relational information among interacting units and the structural implications of these relations. Recently, social network studies have focused a great deal of attention on random graph models of…

Applications · Statistics 2010-10-06 Mark S. Handcock , Krista J. Gile

Understanding how and how far information, behaviors, or pathogens spread in social networks is an important problem, having implications for both predicting the size of epidemics, as well as for planning effective interventions. There are,…

Physics and Society · Physics 2015-05-28 Jukka-Pekka Onnela , Nicholas A. Christakis

Cascade processes are responsible for many important phenomena in natural and social sciences. Simple models of irreversible dynamics on graphs, in which nodes activate depending on the state of their neighbors, have been successfully…

Disordered Systems and Neural Networks · Physics 2013-09-16 Fabrizio Altarelli , Alfredo Braunstein , Luca Dall'Asta , Riccardo Zecchina

Disease awareness in infection dynamics can be modeled with adaptive contact networks whose rewiring rules reflect the attempt by susceptibles to avoid infectious contacts. Simulations of this type of models show an active phase with…

Adaptation and Self-Organizing Systems · Physics 2012-12-06 Stefan Wieland , Tomas Aquino , Ana Nunes

We present a method for the reconstruction of networks, based on the order of nodes visited by a stochastic branching process. Our algorithm reconstructs a network of minimal size that ensures consistency with the data. Crucially, we show…

Data Structures and Algorithms · Computer Science 2010-06-07 Nick Fyson , Tijl De Bie , Nello Cristianini

We consider the problem of estimating the latent structure of a social network based on the observed information diffusion events, or cascades, where the observations for a given cascade consist of only the timestamps of infection for…

Machine Learning · Statistics 2020-03-27 Ming Yu , Varun Gupta , Mladen Kolar

Networks underpin systems that range from finance to biology, yet their structure is often only partially observed. Current reconstruction methods typically fit the parameters of a model anew to each snapshot, thus offering no guidance to…

Physics and Society · Physics 2026-05-28 Mattia Marzi , Tiziano Squartini

Spreading processes are ubiquitous in natural and artificial systems. They can be studied via a plethora of models, depending on the specific details of the phenomena under study. Disease contagion and rumor spreading are among the most…

The dynamics of diffusion in complex networks are widely studied to understand how entities, such as information, diseases, or behaviors, spread in an interconnected environment. Complex networks often present community structure, and tools…

Physics and Society · Physics 2025-12-09 Alina Dubovskaya , Caroline B. Pena , David J. P. O'Sullivan

We present a new inference method based on approximate Bayesian computation for estimating parameters governing an entire network based on link-traced samples of that network. To do this, we first take summary statistics from an observed…

Computation · Statistics 2017-01-17 Jack Davis , Steven K. Thompson

Reconstructing the topology of complex networks from observational data remains a central challenge in network science. Here we propose a framework that is based on the Dempster-Shafer evidence theory to infer network structures directly…

Physics and Society · Physics 2026-03-04 Yishu Xian , Zhaobo Zhang , Cai Zhang , Meizhu Li , Qi Zhang