49 citations · 67 across the 9 of their papers we have counts for
4 papers · 1 filter
An exact and fast solution of the inverse Regularized Optimal Transport problem
Dario Mazzilli, Riccardo Piombo, Lorenzo Buffa +1
Optimal transport describes the most efficient way to move mass between two distributions, given a cost matrix for moving mass between each pair of locations. Entropic optimal tran…
Statistical Mechanics of the Sub-Optimal Transport
Riccardo Piombo, Lorenzo Buffa, Dario Mazzilli +1
Statistical mechanics is a powerful framework for analyzing optimization yielding analytical results for matching, optimal transport, and other combinatorial problems. However, the…
Maximum entropy modeling of Optimal Transport: the sub-optimality regime and the transition from dense to sparse networks
Lorenzo Buffa, Dario Mazzilli, Riccardo Piombo +3
We present a bipartite network model that captures intermediate stages of optimization by blending the Maximum Entropy approach with Optimal Transport. In this framework, the netwo…
Ranking species in complex ecosystems through nestedness maximization
Manuel Sebastian Mariani, Dario Mazzilli, Aurelio Patelli +1
Identifying the rank of species in a social or ecological network is a difficult task, since the rank of each species is invariably determined by complex interactions stipulated wi…