66 citations · 187 across the 28 of their papers we have counts for
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math.OC2014★ 3 cited
Convergence analysis for Lasserre's measure--based hierarchy of upper bounds for polynomial optimization
Etienne de Klerk, Monique Laurent, Zhao Sun
We consider the problem of minimizing a continuous function f over a compact set K. We analyze a hierarchy of upper bounds proposed by Lasserre in [SIAM J. Optim. 21(3) (2011), pp.…
math.OC2014★ 1 cited
An error analysis for polynomial optimization over the simplex based on the multivariate hypergeometric distribution
Etienne de Klerk, Monique Laurent, Zhao Sun
We study the minimization of fixed-degree polynomials over the simplex. This problem is well-known to be NP-hard, as it contains the maximum stable set problem in graph theory as a…