Improving kriging surrogates of high-dimensional design models by Partial Least Squares dimension reduction

Mohamed Amine Bouhlel (1) , Nathalie Bartoli (2) , Abdelkader Otsmane (1) , Joseph Morlier (3)

1 SNECMA Villaroche [Moissy-Cramayel]
2 ONERA - The French Aerospace Lab [Toulouse]
3 ICA - Institut Clément Ader

Engineering computer codes are often compu- tationally expensive. To lighten this load, we exploit new covariance kernels to replace computationally expensive codes with surrogate models. For input spaces with large dimensions, using the kriging model in the standard way is computationally expensive because a large covariance matrix must be inverted several times to estimate the param- eters of the model. We address this issue herein by con- structing a covariance kernel that depends on only a few parameters. The new kernel is constructed based on infor- mation obtained from the Partial Least Squares method. Promising results are obtained for numerical examples with up to 100 dimensions, and significant computational gain is obtained while maintaining sufficient accuracy.

Mots clés: Dimension reduction; Partial least square; Kriging; Surrogate modelling

Domaines: Autre

Mohamed Amine Bouhlel, Nathalie Bartoli, Abdelkader Otsmane, Joseph Morlier. Improving kriging surrogates of high-dimensional design models by Partial Least Squares dimension reduction. Structural and Multidisciplinary Optimization, 2016, vol. 53 (n° 5), pp. 935-952. ⟨10.1007/s00158-015-1395-9⟩. ⟨hal-01598259v2⟩