69 citations · 174 across the 18 of their papers we have counts for
4 papers · 1 filter
Physarum Dynamics and Optimal Transport for Basis Pursuit
Enrico Facca, Franco Cardin, Mario Putti
We study the connections between Physarum Dynamics and Dynamic Monge Kantorovich (DMK) Optimal Transport algorithms for the solution of Basis Pursuit problems. We show the equivale…
Pontryagin Maximum Principle and Stokes Theorem
Franco Cardin, Andrea Spiro
We present a new geometric unfolding of a prototype problem of optimal control theory, the Mayer problem. This approach is crucially based on the Stokes Theorem and yields to a nec…
Branching structures emerging from a continuous optimal transport model
Enrico Facca, Franco Cardin, Mario Putti
Recently a Dynamic-Monge-Kantorovich formulation of the PDE-based -optimal transport problem was presented. The model considers a diffusion equation enforcing the balance of t…
Integrability of close encounters in the spatial restricted three-body problem
Franco Cardin, Massimiliano Guzzo
We extend to the spatial case a technique of integration of the close encounters formulated by Tullio Levi-Civita for the planar restricted three-body problem. We consider the Hami…