Mathematics – Optimization and Control
Scientific paper
2011-11-21
Mathematics
Optimization and Control
Scientific paper
We consider the problem of optimizing a real-valued continuous function $f$ using a Bayesian approach, where the evaluations of $f$ are chosen sequentially by combining prior information about $f$, which is described by a random process model, and past evaluation results. The main difficulty with this approach is to be able to compute the posterior distributions of quantities of interest which are used to choose evaluation points. In this article, we decide to use a Sequential Monte Carlo (SMC) approach.
Bect Julien
Benassi Romain
Vazquez Emmanuel
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