Luca Dall'Asta - Politecnico di Torino # Optimal Immunization of Networks by Message-Passing # Network immunization against failures and epidemic spreading can be written as a constrained optimization problem, in which the constraints are fixed-point equations for some local (node or edge) variables describing the stationary state of the dynamics. I will show how the cavity method, and message-passing techniques, can be used to study this problem and design efficient algorithms on large networks.