31 citations · 145 across the 11 of their papers we have counts for
4 papers · 1 filter
Momentum-based gradient descent methods for Lie groups
Cédric M. Campos, David Martín de Diego, José Torrente-Teruel
Polyak's Heavy Ball (PHB; Polyak, 1964), a.k.a. Classical Momentum, and Nesterov's Accelerated Gradient (NAG; Nesterov, 1983) are well-established momentum-descent methods for opti…
A Discrete Variational Derivation of Accelerated Methods in Optimization
Cédric M. Campos, Alejandro Mahillo, David Martín de Diego
Many of the new developments in machine learning are connected with gradient-based optimization methods. Recently, these methods have been studied using a variational perspective.…
High order variational integrators in the optimal control of mechanical systems
Cédric M. Campos, Sina Ober-Blöbaum, Emmanuel Trélat
In recent years, much effort in designing numerical methods for the simulation and optimization of mechanical systems has been put into schemes which are structure preserving. One…
Higher order variational time discretization of optimal control problems
C. M. Campos, O. Junge, S. Ober-Blöbaum
We reconsider the variational integration of optimal control problems for mechanical systems based on a direct discretization of the Lagrange-d'Alembert principle. This approach yi…