107 citations · 475 across the 51 of their papers we have counts for
12 papers · 1 filter
Sparse stabilization of mean-field agent dynamics through a three-operator splitting method
Giacomo Albi, Dante Kalise, Chiara Segala +1
We study the sparse stabilization of nonlinear multi-agent systems within a mean-field optimal control framework. The goal is to drive large populations of interacting agents towar…
Non-Convex Global Optimization as an Optimal Stabilization Problem: Dynamical Properties
Yuyang Huang, Dante Kalise, Hicham Kouhkouh
We study global optimization of non-convex functions through optimal control theory. Our main result establishes that (quasi-)optimal trajectories of a discounted control problem c…
A PDE-constrained Optimization Approach to Optimal Trajectory Planning under Uncertainty via Reflected Schrödinger Bridges
Dante Kalise, Wenxin Liu
A computational PDE-constrained optimization approach is proposed for optimal trajectory planning under uncertainty by means of an associated Schroedinger Bridge Problem (SBP). The…
Non-Convex Global Optimization as an Optimal Stabilization Problem: Convergence Rates
Yuyang Huang, Dante Kalise, Hicham Kouhkouh
We develop a rigorous framework for global non-convex optimization by reformulating the minimization problem as a discounted infinite-horizon optimal control problem. For non-conve…
An Inexact Tensor-Train Primal-Dual Interior-Point Method for Semidefinite Programs
Frederik Kelbel, Sergey Dolgov, Dante Kalise +1
In this work, we introduce an interior-point method that employs tensor decompositions to efficiently represent and manipulate the variables and constraints of semidefinite program…
Hierarchical clustering and dimensional reduction for optimal control of large-scale agent-based models
Angela Monti, Fasma Diele, Dante Kalise
Agent-based models (ABMs) provide a powerful framework to describe complex systems composed of interacting entities, capable of producing emergent collective behaviours such as con…
Linearization-Based Feedback Stabilization of McKean-Vlasov PDEs
Dante Kalise, Lucas M. Moschen, Grigorios A. Pavliotis
We develop a feedback control framework for stabilizing the McKean-Vlasov PDE on the torus. Our goal is to steer the dynamics toward a prescribed stationary distribution or acceler…
Parallel-in-Time Preconditioning for Time-Dependent Variational Mean Field Games
Heidi Wolles Ljósheim, Dante Kalise, John W. Pearson +1
We study the numerical approximation of a time-dependent variational mean field game system with local couplings and either periodic or Neumann boundary conditions. Following a var…
Optimal Control of Thin-Film Flow on a Flexible Topography
S. Alrashidy, A. Kalogirou, D. Kalise +1
This work presents a mathematical model for the optimal control of thin-film flows over a flexible substrate influenced by an external force. The objective is to find the optimal d…
Time-optimal neural feedback control of nilpotent systems as a binary classification problem
Sara Bicego, Samuel Gue, Dante Kalise +1
A computational method for the synthesis of time-optimal feedback control laws for linear nilpotent systems is proposed. The method is based on the use of the bang-bang theorem, wh…
A Spectral Approach to Optimal Control of the Fokker-Planck Equation
Dante Kalise, Lucas M. Moschen, Grigorios A. Pavliotis +1
In this paper, we present a spectral optimal control framework for Fokker-Planck equations based on the standard ground state transformation that maps the Fokker-Planck operator to…
Separable Approximations of Optimal Value Functions and Their Representation by Neural Networks
Mario Sperl, Luca Saluzzi, Dante Kalise +1
The use of separable approximations is proposed to mitigate the curse of dimensionality related to the approximation of high-dimensional value functions in optimal control. The sep…