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Inferring the origin of an epidemic with a dynamic message-passing algorithm

Phys. Rev. E 90, 012801 – Published 1 July 2014
Andrey Y. Lokhov, Marc Mézard, Hiroki Ohta, and Lenka Zdeborová

Abstract

We study the problem of estimating the origin of an epidemic outbreak: given a contact network and a snapshot of epidemic spread at a certain time, determine the infection source. This problem is important in different contexts of computer or social networks. Assuming that the epidemic spread follows the usual susceptible-infected-recovered model, we introduce an inference algorithm based on dynamic message-passing equations and we show that it leads to significant improvement of performance compared to existing approaches. Importantly, this algorithm remains efficient in the case where the snapshot sees only a part of the network.

DOI: http://dx.doi.org/10.1103/PhysRevE.90.012801

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  • Published 1 July 2014
  • Received 19 March 2013
  • Revised 5 June 2014

©2014 American Physical Society

Authors & Affiliations

Andrey Y. Lokhov1, Marc Mézard1,2, Hiroki Ohta1, and Lenka Zdeborová3

  • 1LPTMS, Université Paris-Sud and CNRS-UMR 8626, 91405 Orsay, France
  • 2Ecole Normale Supérieure, 45 rue d'Ulm, 75005 Paris, France
  • 3IPhT, CEA Saclay and CNRS-URA 2306, 91191 Gif-sur-Yvette, France

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