The Spread Optimization Problem

Details The Spread Optimization Problem The Spread Optimization Problem

2012-03-07

arxiv.org/abs/1203.1426v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

Article: 5 pages, 5 figures Supplemental Material: 1 figure

Scientific paper

We analyze the irreversible dynamical process corresponding to the linear-threshold model of influence spread over a network, and propose an efficient algorithm to solve the inverse problem, namely that of finding an optimal initial condition that generates to a desired final state of the dynamics. This is a challenging problem which is crucial in many contexts, from systemic risk analysis to the design of viral marketing campaigns. Our approach is based on the cavity-method of statistical physics. We compare our algorithm to standard techniques (based on Monte Carlo and Linear Programming) and show that it has an excellent performance.

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