7 citations · 9 across the 6 of their papers we have counts for
7 papers
Sufficient conditions for the absence of relaxation gaps in state-constrained optimal control
Nicolas Augier, Milan Korda, Rodolfo Rios-Zertuche
This work presents new sufficient conditions for the absence of a gap corresponding to Young measure and occupation measure relaxations for constrained optimal control problems. Un…
Young measure relaxation gaps for controllable systems with smooth state constraints
Nicolas Augier, Milan Korda, Rodolfo Rios-Zertuche
In this article, we tackle the problem of the existence of a gap corresponding to Young measure relaxations for state-constrained optimal control problems. We provide a counterexam…
Examples of pathological dynamics of the subgradient method for Lipschitz path-differentiable functions
Rodolfo Rios-Zertuche
We show that the vanishing stepsize subgradient method -- widely adopted for machine learning applications -- can display rather messy behavior even in the presence of favorable as…
Long term dynamics of the subgradient method for Lipschitz path differentiable functions
Jerome Bolte, Edouard Pauwels, Rodolfo Rios-Zertuche
We consider the long-term dynamics of the vanishing stepsize subgradient method in the case when the objective function is neither smooth nor convex. We assume that this function i…
Deformations of closed measures and variational characterization of measures invariant under the Euler-Lagrange flow
Rodolfo Rios-Zertuche
The set of closed (or holonomic) measures provides a useful setting for studying optimization problems because it contains all curves, while also enjoying good compactness and conv…
Existence of differentiable curves in convex sets and the concept of direction of the flow in mass transportation
Rodolfo Rios-Zertuche
In this paper we consider convex subsets of locally-convex topological vector spaces. Given a fixed point in such a convex subset, we show that there exists a curve completely cont…