7 papers
Analysis and Optimal Design of Equilibria in the Vlasov-Poisson System
Alfio Borzì, Gennaro Infante, Giovanni Mascali +1
The optimal design of equilibrium particle distributions generated by external electric fields is investigated in the framework of stationary Maxwellian equilibria of the Vlasov-Po…
A Low-Rank Symplectic Gradient Adjustment Method for Computing Nash Equilibria
Nadja Vater, Katherine Rossella Foglia, Vittorio Colao +1
This work presents a theoretical and numerical investigation of the symplectic gradient adjustment (SGA) method and of a low-rank SGA (LRSGA) method for efficiently solving revviol…
A Moser-Type Construction for the Liouville Equation
Alfio Borzì, Marco Caponigro, Arianna Vicari
A Moser-type construction for the kinetic Liouville equation is proposed, which is based on a characteristic-adapted interpolation. For Hamiltonian accelerations, the construction…
MultiLRSGA: A method for multi-player differentiable games
Katherine Rossella Foglia, Vittorio Colao, Alfio Borzì
We propose MultiLRSGA, an -player extension of LRSGA for the computation of stable Nash equilibria in differentiable games. The method originates from the decomposition of the g…
The Pontryagin Maximum Principle for Training Convolutional Neural Networks
Sebastian Hofmann, Alfio Borzì
A novel batch sequential quadratic Hamiltonian (bSQH) algorithm for training convolutional neural networks (CNNs) with -based regularization is presented. This methodology is…
Full- and low-rank exponential midpoint schemes for forward and adjoint Lindblad equations
Hao Chen, Alfio Borzi
The Lindblad equation is a widely used quantum master equation to model the dynamical evolution of open quantum systems whose states are described by density matrices. This equatio…