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D-optimal design for multivariate polynomial regression via the Christoffel function and semidefinite relaxations

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Publication:6283932

arXiv1703.01777MaRDI QIDQ6283932

Author name not available (Why is that?)

Publication date: 6 March 2017

Abstract: We present a new approach to the design of D-optimal experiments with multivariate polynomial regressions on compact semi-algebraic design spaces. We apply the moment-sum-of-squares hierarchy of semidefinite programming problems to solve numerically and approximately the optimal design problem. The geometry of the design is recovered with semidefinite programming duality theory and the Christoffel polynomial.












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