Luca Dall'Asta - Politecnico di Torino # Spread Optimization on Networks # Irreversible propagation processes are responsible of important phenomena observed in real-world networks, from the spread of influence and viral marketing to financial contagion, liquidity-shock propagation and cascading failures. Motivated by recent literature in computer science, I will consider these dynamical processes from the inverse point of view of optimization over the initial conditions. A prototypical example is the algorithmic problem of finding the smallest set of initial seeds that maximizes the final outcome of a threshold dynamics. For this problem, efficient algorithms can be derived using a cavity approach. I will discuss some numerical results, possible applications and limitations of the method.