Convergence rates of moment-sum-of-squares hierarchies for volume approximation of semialgebraic sets

Moment-sum-of-squares hierarchies of semidefinite programs can be used to approximate the volume of a given compact basic semialgebraic set K . The idea consists of approximating from above the indicator function of K with a sequence of polynomials of increasing degree d , so that the integrals of t...

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Bibliographic Details

Published in:	Optimization letters Vol. 12; no. 3; pp. 435 - 442
Main Authors:	Korda, Milan, Henrion, Didier
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2018
Subjects:	Computational Intelligence Mathematics Mathematics and Statistics Numerical and Computational Physics Operations Research/Decision Theory Optimization Original Paper Simulation Convergence rate Polynomial sums of squares Moment relaxations Semidefinite programming Approximation theory
ISSN:	1862-4472, 1862-4480
Online Access:	Get full text
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