10 citations · 19 across the 3 of their papers we have counts for
5 papers
A Mean Field Games model for finite mixtures of Bernoulli and Categorical distributions
Laura Aquilanti, Simone Cacace, Fabio Camilli +1
Finite mixture models are an important tool in the statistical analysis of data, for example in data clustering. The optimal parameters of a mixture model are usually computed by m…
A Mean Field Games approach to Cluster Analysis
Laura Aquilanti, Simone Cacace, Fabio Camilli +1
In this paper, we develop a Mean Field Games approach to Cluster Analysis. We consider a finite mixture model, given by a convex combination of probability density functions, to de…
Superposition principle and schemes for Measure Differential Equations
Fabio Camilli, Giulia Cavagnari, Raul De Maio +1
Measure Differential Equations (MDE) describe the evolution of probability measures driven by probability velocity fields, i.e. probability measures on the tangent bundle. They are…
Memory effects in measure transport equations
Fabio Camilli, Raul De Maio
Transport equations with a nonlocal velocity field have been introduced as a continuum model for interacting particle systems arising in physics, chemistry and biology. Fractional…
A time-fractional mean field game
Fabio Camilli, Raul De Maio
We consider a Mean Field Games model where the dynamics of the agents is subdiffusive. According to the optimal control interpretation of the problem, we get a system involving fra…