Zobrazeno 1 - 10
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pro vyhledávání: '"Vargas, Luis Felipe"'
Autor:
Vargas, Luis Felipe
A polynomial optimization problem (POP) asks for minimizing a polynomial function given a finite set of polynomial constraints (equations and inequalities). This problem is well-known to be hard in general, as it encodes many hard combinatorial probl
Externí odkaz:
http://arxiv.org/abs/2401.12613
In 1995, Reznick showed an important variant of the obvious fact that any positive semidefinite (real) quadratic form is a sum of squares of linear forms: If a form (of arbitrary even degree) is positive definite then it becomes a sum of squares of f
Externí odkaz:
http://arxiv.org/abs/2310.12853
We investigate some graph parameters dealing with biindependent pairs $(A,B)$ in a bipartite graph $G=(V_1\cup V_2,E)$, i.e., pairs $(A,B)$ where $A\subseteq V_1$, $B\subseteq V_2$ and $A\cup B$ is independent. These parameters also allow to study bi
Externí odkaz:
http://arxiv.org/abs/2302.08886
Autor:
Vargas, Luis Felipe, Laurent, Monique
This chapter investigates the cone of copositive matrices, with a focus on the design and analysis of conic inner approximations for it. These approximations are based on various sufficient conditions for matrix copositivity, relying on positivity ce
Externí odkaz:
http://arxiv.org/abs/2302.04690
Autor:
Laurent, Monique, Vargas, Luis Felipe
We investigate the hierarchy of conic inner approximations $\mathcal{K}^{(r)}_n$ ($r\in \mathbb{N}$) for the copositive cone $\text{COP}_n$, introduced by Parrilo (Structured Semidefinite Programs and Semialgebraic Geometry Methods in Robustness and
Externí odkaz:
http://arxiv.org/abs/2205.05381
Autor:
Laurent, Monique, Vargas, Luis Felipe
De Klerk and Pasechnik (2002) introduced the bounds $\vartheta^{(r)}(G)$ ($r\in \mathbb{N}$) for the stability number $\alpha(G)$ of a graph $G$ and conjectured exactness at order $\alpha(G)-1$: $\vartheta^{(\alpha(G)-1)}(G)=\alpha(G)$. These bounds
Externí odkaz:
http://arxiv.org/abs/2109.12876
Autor:
Vargas, Luis Felipe, Velasco, Mauricio
Given a prior probability density $p$ on a compact set $K$ we characterize the probability distribution $q_{\delta}^*$ on $K$ contained in a Wasserstein ball $B_{\delta}(\mu)$ centered in a given discrete measure $\mu$ for which the relative-entropy
Externí odkaz:
http://arxiv.org/abs/2106.03226
Autor:
Laurent, Monique, Vargas, Luis Felipe
We investigate a hierarchy of semidefinite bounds $\vartheta^{(r)}(G)$ for the stability number $\alpha(G)$ of a graph $G$, based on its copositive programming formulation and introduced by de Klerk and Pasechnik [{\em SIAM J. Optim.} 12 (2002), pp.8
Externí odkaz:
http://arxiv.org/abs/2103.01574
Autor:
Garcia, Luis Fernando, Arroyo, Fernando, Vallejo, Carlo, Del Castillo, Javier, Moreno, Nicole, Forero, Nicolas, Cabrera Vargas, Luis Felipe
Publikováno v:
In Cirugía Cardiovascular November-December 2023 30(6):322-326
Autor:
Carrillo Montenegro, Andrés Felipe, Aristizabal Rojas, Sofía, Pulido Segura, Jean André, Pedraza, Mauricio, Padilla, Laura, Lozada-Martinez, Ivan David, Rafael Narvaez-Rojas, Alexis, Cabrera-Vargas, Luis Felipe
Publikováno v:
In Heliyon January 2023 9(1)