Séminaire du LPTMS: Andrey Lokhov


11:00 - 12:00

LPTMS, salle 201, 2ème étage, Bât 100, Campus d'Orsay
15 Rue Georges Clemenceau, Orsay, 91405
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Dynamic message-passing equations and applications to epidemic and information spreading on networks

Andrey Lokhov, LPTMS

Understanding and quantifying the out-of-equilibrium dynamics is one of the major tasks of today’s science. Using dynamic cavity method on time trajectories, we show how to derive dynamic message-passing (DMP) equations for a large class of models with irreversible dynamics – the key point that makes the problem solvable. These equations are asymptotically exact for locally tree-like graphs and generally provide a good approximation for real-world networks. We illustrate the approach by applying the DMP equations for susceptible-infected-recovered (SIR) and ignorant-spreader-stifler models (ISS) models to the problems of inference of epidemic origin and optimal information spreading with awareness.

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