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…
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…
Numerical Solution of Monge-Kantorovich Equations via a dynamic formulation
Enrico Facca, Sara Daneri, Franco Cardin +1
We propose a biologically inspired dynamic model for the numerical solution of the -PDE based optimal transportation model.
Towards a stationary Monge-Kantorovich dynamics: the Physarum Polycephalum experience
Enrico Facca, Franco Cardin, Mario Putti
In this work we study and expand a model describing the dynamics of a unicellular slime mold, Physarum Polycephalum (PP), which was proposed to simulate the ability of PP to find t…