54 citations · 96 across the 21 of their papers we have counts for
23 papers
Structure-preserving full- and low-rank exponential methods for the optimal control of Lindblad equations
Hao Chen, Alfio Borzi
Optimal control of open quantum systems governed by the Lindblad master equation requires the repeated solution of forward and adjoint evolution equations. For large Hilbert spaces…
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…
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…
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…
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…
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…
Adjoint-based optimal control of jump-diffusion processes
Jan Bartsch, Alfio Borzi, Gabriele Ciaramella +1
Stochastic differential equations (SDEs) using jump-diffusion processes describe many natural phenomena at the microscopic level. Since they are commonly used to model economic and…
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 Euler integrators for the Lindblad equation
Hao Chen, Alfio Borzì, Denis Janković +2
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. These soluti…
Optimal design of equilibrium solutions of the Vlasov-Poisson system by an external electric field
Alfio Borzì, Gennaro Infante, Giovanni Mascali
A new optimization framework to design steady equilibrium solutions of the Vlasov-Poisson system by means of external electric fields is presented. This optimization framework requ…
A high contrast and resolution reconstruction algorithm in quantitative photoacoustic tomography
Anwesa Dey, Alfio Borzi, Souvik Roy
A framework for reconstruction of optical diffusion and absorption coefficients in quantitative photoacoustic tomography is presented. This framework is based on a Tikhonov-type fu…
Fokker-Planck analysis of superresolution microscopy images
Mario Annunziato, Alfio Borzì
A method for the analysis of superresolution microscopy images is presented. This method is based on the analysis of stochastic trajectories of particles moving on the membrane of…
On the stabilization of a kinetic model by feedback-like control fields in a Monte Carlo framework
Jan Bartsch, Alfio Borzi
The construction of feedback-like control fields for a kinetic model in phase space is investigated. The purpose of these controls is to drive an initial density of particles in th…
Instability of oscillations in the Rosenzweig-MacArthur model of one consumer and two resources
Przemysław Gawroński, Alfio Borzì, Krzysztof Kułakowski
The system of two resources , and one consumer is investigated within the Rosenzweig-MacArthur model with Holling type II functional response. The rates of con…
A theoretical investigation of time-dependent Kohn-Sham equations: new proofs
Gabriele Ciaramella, Martin Sprengel, Alfio Borzi
In this paper, a new analysis for existence, uniqueness, and regularity of solutions to a time-dependent Kohn-Sham equation is presented. The Kohn-Sham equation is a nonlinear inte…
An extended model of wine fermentation including aromas and acids
Jan Bartsch, Alfio Borzì, Christina Schenk +4
The art of viticulture and the quest for making wines has a long tradition and it just started recently that mathematicians entered this field with their main contribution of model…
A theoretical investigation of Brockett's ensemble optimal control problems
Jan Bartsch, Alfio Borzì, Francesco Fanelli +1
This paper is devoted to the analysis of problems of optimal control of ensembles governed by the Liouville (or continuity) equation. The formulation and study of these problems ha…
Paradox of integration - mean field approach
Krzysztof Kulakowski, Piotr Gronek, Alfio Borzi
Recently a computational model has been proposed of the social integration, as described in sociological terms by Peter Blau. In this model, actors praise or critique each other, a…
Investigation of optimal control problems governed by a time-dependent Kohn-Sham model
Martin Sprengel, Gabriele Ciaramella, Alfio Borzì
Many application models in quantum physics and chemistry require to control multi-electron systems to achieve a desired target configuration. This challenging task appears possible…
A theoretical investigation of time-dependent Kohn-Sham equations
Martin Sprengel, Gabriele Ciaramella, Alfio Borzì
In this work, the existence, uniqueness and regularity of solutions to the time-dependent Kohn-Sham equations are investigated. The Kohn-Sham equations are a system of nonlinear co…
Novel model for wine fermentation including the yeast dying phase
Alfio Borzì, Juri Merger, Jonas Müller +8
This paper presents a novel model for wine fermentation including a death phase for yeast and the influence of oxygen on the process. A model for the inclusion of the yeast dying p…
Optimal quantum control in nanostructures: Theory and application to generic three-level system
Alfio Borzi, Georg Stadler, Ulrich Hohenester
Coherent carrier control in quantum nanostructures is studied within the framework of Optimal Control. We develop a general solution scheme for the optimization of an external cont…
A Multi-Grid Method for the Resolution of Thermodynamic Bethe Ansatz Equations
A. Borzi, A. Koubek
We present a multi-grid algorithm in order to solve numerically the thermodynamic Bethe ansatz equations. We specifically adapt the program to compute the data of the conformal fie…