Finite-dimensional approximation of Gaussian processes with inequality constraints and errors measurements

Abstract : Due to their flexibility, Gaussian processes (GPs) have been widely used in nonparametric function estimation. A prior information about the underlying function is often available. For instance, the physical system (computer model output) may be known to satisfy inequality constraints with respect to some or all inputs. We develop a finite-dimensional approximation of GPs capable of incorporating inequality constraints and noisy observations for computer model emulators. It is based on a linear combination between Gaussian random coefficients and deterministic basis functions. By this methodology , the inequality constraints are respected in the entire domain. The mean and the maximum of the posterior distribution are well defined. A simulation study to show the efficiency and the performance of the proposed model in term of predictive accuracy and uncertainty quantification is included.
Type de document :
Pré-publication, Document de travail
2017
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https://hal.archives-ouvertes.fr/hal-01533356
Contributeur : Hassan Maatouk <>
Soumis le : samedi 18 novembre 2017 - 21:22:36
Dernière modification le : mardi 21 novembre 2017 - 20:36:00

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  • HAL Id : hal-01533356, version 2
  • ARXIV : 1706.02178

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Hassan Maatouk. Finite-dimensional approximation of Gaussian processes with inequality constraints and errors measurements. 2017. 〈hal-01533356v2〉

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