A Warped Kernel Improving Robustness in Bayesian Optimization Via Random Embeddings

  • Mickaël Binois
  • David Ginsbourger
  • Olivier Roustant
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8994)


This works extends the Random Embedding Bayesian Optimization approach by integrating a warping of the high dimensional subspace within the covariance kernel. The proposed warping, that relies on elementary geometric considerations, allows mitigating the drawbacks of the high extrinsic dimensionality while avoiding the algorithm to evaluate points giving redundant information. It also alleviates constraints on bound selection for the embedded domain, thus improving the robustness, as illustrated with a test case with 25 variables and intrinsic dimension 6.


Black-box optimization Expected Improvement Low-intrinsic dimensionality Gaussian processes REMBO 



This work has been conducted within the frame of the ReDice Consortium, gathering industrial (CEA, EDF, IFPEN, IRSN, Renault) and academic (Ecole des Mines de Saint-Etienne, INRIA, and the University of Bern) partners around advanced methods for Computer Experiments.

The authors also thanks the anonymous reviewers as well as Frank Hutter for their helpful suggestions.


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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Mickaël Binois
    • 1
    • 2
  • David Ginsbourger
    • 3
  • Olivier Roustant
    • 1
  1. 1.Mines Saint-Étienne, UMR CNRS 6158, LIMOSSaint-ÉtienneFrance
  2. 2.Renault S.A.S.GuyancourtFrance
  3. 3.Department of Mathematics and StatisticsUniversity of BernBernSwitzerland

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