A Stepwise uncertainty reduction approach to constrained global optimization

International audience Using statistical emulators to guide sequential evaluations of complex computer experiments is now a well-established practice. When a model provides multiple outputs, a typical objective is to optimize one of the outputs with constraints (for instance, a threshold not to exce...

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Bibliographic Details
Main Author: Picheny, Victor
Other Authors: Unité de Mathématiques et Informatique Appliquées de Toulouse (MIAT INRA), Institut National de la Recherche Agronomique (INRA)
Format: Conference Object
Language:English
Published: HAL CCSD 2014
Subjects:
Online Access:https://hal.inrae.fr/hal-02743553
https://hal.inrae.fr/hal-02743553/document
https://hal.inrae.fr/hal-02743553/file/a%20stepwise%20uncertainty%20reduction%20approach%20to%20constrained%20global%20optimization_VP_1.pdf
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Summary:International audience Using statistical emulators to guide sequential evaluations of complex computer experiments is now a well-established practice. When a model provides multiple outputs, a typical objective is to optimize one of the outputs with constraints (for instance, a threshold not to exceed) on the values of the other outputs. We propose here a new optimization strategy based on the stepwise uncertainty reduction paradigm, which o ers an e cient trade-off between exploration and local search near the boundaries. The strategy is illustrated on numerical examples.