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math.ST2017
Approximate Optimal Designs for Multivariate Polynomial Regression
Yohann De Castro, Fabrice Gamboa, Didier Henrion +2
We introduce a new approach aiming at computing approximate optimal designs for multivariate polynomial regressions on compact (semi-algebraic) design spaces. We use the moment-sum…
math.ST2017
D-optimal design for multivariate polynomial regression via the Christoffel function and semidefinite relaxations
Yohann De Castro, F Gamboa, D Henrion +2
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-square…