Luis Felipe Vargas

collaborators

3 papers

math.OC2022

On the Exactness of Sum-of-Squares Approximations for the Cone of $5 \times 5$ Copositive Matrices

Monique Laurent, Luis Felipe Vargas

We investigate the hierarchy of conic inner approximations $K_{n}^{(r)}$ ( $r \in N$ ) for the copositive cone $COP_{n}$ , introduced by Parrilo (Structured Semid…

math.OC2021

Exactness of Parrilo's conic approximations for copositive matrices and associated low order bounds for the stability number of a graph

Monique Laurent, Luis Felipe Vargas

De Klerk and Pasechnik (2002) introduced the bounds $ϑ^{(r)} (G)$ ( $r \in N$ ) for the stability number $α (G)$ of a graph $G$ and conjectured exactness at order $α(G)…

math.OC2021

Minimum cross-entropy distributions on Wasserstein balls and their applications

Luis Felipe Vargas, Mauricio Velasco

Given a prior probability density $p$ on a compact set $K$ we characterize the probability distribution $q_{δ}^{*}$ on $K$ contained in a Wasserstein ball $B_{δ} (μ)$ centered in a given…

On the Exactness of Sum-of-Squares Approximations for the Cone of 5×5 Copositive Matrices

Exactness of Parrilo's conic approximations for copositive matrices and associated low order bounds for the stability number of a graph

Minimum cross-entropy distributions on Wasserstein balls and their applications

On the Exactness of Sum-of-Squares Approximations for the Cone of $5 \times 5$ Copositive Matrices