18 citations · 45 across the 14 of their papers we have counts for
18 papers
On the Regularization of Primal-Dual Dynamics in Time-Dependent Nonconvex Optimization
Miguel Vaquero, Jorge Cortés
We study continuous-time primal-dual dynamics for tracking solutions of time-dependent constrained optimization problems. First, for uniformly strongly convex-strongly concave sadd…
Learning Hamiltonians from Trajectory Data with Kernel Methods
Jianyu Hu, David Martin de Diego, Juan-Pablo Ortega +1
We study the recovery of a Hamiltonian from discrete trajectory observations using structure-preserving kernel methods. When exact-flow data are fitted through a symplectic one-ste…
A Unified Discrete Gradient-SAV Framework for Structure-Preserving Integration
Elena Celledoni, David Martín de Diego, Brynjulf Owren +1
We present a framework combining discrete gradient (DG) methods with the Scalar Auxiliary Variable (SAV) approach to construct structure-preserving integrators for dissipative and…
Approximating Symplectic Realizations: A General Framework for the Construction of Poisson Integrators
Alejandro Cabrera, David Martín de Diego, Miguel Vaquero
While the construction of symplectic integrators for Hamiltonian dynamics is well understood, an analogous general theory for Poisson integrators is still lacking. The main challen…
Designing Poisson Integrators Through Machine Learning
Miguel Vaquero, David Martín de Diego, Jorge Cortés
This paper presents a general method to construct Poisson integrators, i.e., integrators that preserve the underlying Poisson geometry. We assume the Poisson manifold is integrable…
Beltrami Fields with Morse Proportionality Factor
Daniel Peralta-Salas, Miguel Vaquero
In this work we study Beltrami fields with non-constant proportionality factor on . More precisely, we analyze the existence of vector fields satisfying the equat…
Symmetry Preservation in Hamiltonian Systems: Simulation and Learning
Miguel Vaquero, Jorge Cortés, David Martín de Diego
This work presents a general geometric framework for simulating and learning the dynamics of Hamiltonian systems that are invariant under a Lie group of transformations. This means…
k-Dimensional Agreement in Multiagent Systems
Gianluca Bianchin, Miguel Vaquero, Jorge Cortes +1
Given a network of agents, we study the problem of designing a distributed algorithm that computes k independent weighted means of the network's initial conditions (namely, the age…
Online Stochastic Optimization for Unknown Linear Systems: Data-Driven Synthesis and Controller Analysis
Gianluca Bianchin, Miguel Vaquero, Jorge Cortes +1
This paper proposes a data-driven control framework to regulate an unknown, stochastic linear dynamical system to the solution of a (stochastic) convex optimization problem. Despit…
Data-Driven Synthesis of Optimization-Based Controllers for Regulation of Unknown Linear Systems
Gianluca Bianchin, Miguel Vaquero, Jorge Cortes +1
This paper proposes a data-driven framework to solve time-varying optimization problems associated with unknown linear dynamical systems. Making online control decisions to regulat…
Resource-Aware Discretization of Accelerated Optimization Flows
Miguel Vaquero, Pol Mestres, Jorge Cortés
This paper tackles the problem of discretizing accelerated optimization flows while retaining their convergence properties. Inspired by the success of resource-aware control in dev…
On the Geometry of the Hamilton-Jacobi Equation and Generating Functions
Sebastián Ferraro, Manuel de León, Juan Carlos Marrero +2
In this paper we develop a geometric version of the Hamilton-Jacobi equation in the Poisson setting. Specifically, we "geometrize" what is usually called a complete solution of the…
Hamilton-Jacobi theory, Symmetries and Coisotropic Reduction
Manuel de León, David Martín de Diego, Miguel Vaquero
Reduction theory has played a major role in the study of Hamiltonian systems. On the other hand, the Hamilton-Jacobi theory is one of the main tools to integrate the dynamics of ce…
Hamilton-Jacobi theory in Cauchy data space
Cédirc M. Campos, Manuel de León, David Martín de Diego +1
Recently, M. de León el al. ([9]) have developed a geometric Hamilton-Jacobi theory for Classical Field Theories in the setting of multisymplectic geometry. Our purpose in the curr…
A Universal Hamilton-Jacobi Theory
Manuel de León, David Martín de Diego, Miguel Vaquero
In this paper we develop a Hamilton-Jacobi theory in the setting of almost Poisson manifolds. The theory extends the classical Hamilton-Jacobi theory and can be also applied to ver…
Poly-Poisson structures
D. Iglesias-Ponte, J. C. Marrero, M. Vaquero
In this paper we introduce poly-Poisson structures as a higher-order extension of Poisson structures. It is shown that any poly-Poisson structure is endowed with a polysymplectic f…
A Hamilton-Jacobi Theory for Singular Lagrangian Systems in the Skinner and Rusk Setting
Manuel de León, David Martín de Diego, Miguel Vaquero
We develop a Hamilton-Jacobi theory for singular lagrangian systems in the Skinner-Rusk formalism. Comparisons with the Hamilton-Jacobi problem in the lagrangian and hamiltonian se…
On the Hamilton-Jacobi Theory for Singular Lagrangian Systems
Manuel de León, Juan Carlos Marrero, David Martín de Diego +1
We develop a Hamilton-Jacobi theory for singular lagrangian systems using the Gotay-Nester-Hinds constraint algorithm. The procedure works even if the system has secondary constrai…