An Experimental Study in Adaptive Kernel Selection for Bayesian Optimization

Bayesian Optimization has been widely used along with Gaussian Processes for solving expensive-to-evaluate black-box optimization problems. Overall, this approach has shown good results, and particularly for parameter tuning of machine learning algorithms. Nonetheless, Bayesian Optimization has to b...

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Main Authors: Ibai Roman, Roberto Santana, Alexander Mendiburu, Jose A. Lozano
Format: Article
Language:English
Published: IEEE 2019-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8936460/
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author Ibai Roman
Roberto Santana
Alexander Mendiburu
Jose A. Lozano
author_facet Ibai Roman
Roberto Santana
Alexander Mendiburu
Jose A. Lozano
author_sort Ibai Roman
collection DOAJ
description Bayesian Optimization has been widely used along with Gaussian Processes for solving expensive-to-evaluate black-box optimization problems. Overall, this approach has shown good results, and particularly for parameter tuning of machine learning algorithms. Nonetheless, Bayesian Optimization has to be also configured to achieve the best possible performance, being the selection of the kernel function a crucial choice. This paper investigates the convenience of adaptively changing the kernel function during the optimization process, instead of fixing it a priori. Six adaptive kernel selection strategies are introduced and tested in well-known synthetic and real-world optimization problems. In order to provide a more complete evaluation of the proposed kernel selection variants, two major kernel parameter setting approaches have been tested. According to our results, apart from having the advantage of removing the selection of the kernel out of the equation, adaptive kernel selection criteria show a better performance than fixed-kernel approaches.
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spelling doaj.art-e2c2e5f278a2485487cb348ea6d16ba42022-12-21T17:14:40ZengIEEEIEEE Access2169-35362019-01-01718429418430210.1109/ACCESS.2019.29604988936460An Experimental Study in Adaptive Kernel Selection for Bayesian OptimizationIbai Roman0https://orcid.org/0000-0003-3574-6681Roberto Santana1https://orcid.org/0000-0002-1005-8535Alexander Mendiburu2https://orcid.org/0000-0002-7271-1931Jose A. Lozano3https://orcid.org/0000-0002-4683-8111Intelligent Systems Group, University of the Basque Country UPV/EHU, Donostia, SpainIntelligent Systems Group, University of the Basque Country UPV/EHU, Donostia, SpainIntelligent Systems Group, University of the Basque Country UPV/EHU, Donostia, SpainIntelligent Systems Group, University of the Basque Country UPV/EHU, Donostia, SpainBayesian Optimization has been widely used along with Gaussian Processes for solving expensive-to-evaluate black-box optimization problems. Overall, this approach has shown good results, and particularly for parameter tuning of machine learning algorithms. Nonetheless, Bayesian Optimization has to be also configured to achieve the best possible performance, being the selection of the kernel function a crucial choice. This paper investigates the convenience of adaptively changing the kernel function during the optimization process, instead of fixing it a priori. Six adaptive kernel selection strategies are introduced and tested in well-known synthetic and real-world optimization problems. In order to provide a more complete evaluation of the proposed kernel selection variants, two major kernel parameter setting approaches have been tested. According to our results, apart from having the advantage of removing the selection of the kernel out of the equation, adaptive kernel selection criteria show a better performance than fixed-kernel approaches.https://ieeexplore.ieee.org/document/8936460/Adaptive kernel selectionBayesian optimizationGaussian processparameter tuning
spellingShingle Ibai Roman
Roberto Santana
Alexander Mendiburu
Jose A. Lozano
An Experimental Study in Adaptive Kernel Selection for Bayesian Optimization
IEEE Access
Adaptive kernel selection
Bayesian optimization
Gaussian process
parameter tuning
title An Experimental Study in Adaptive Kernel Selection for Bayesian Optimization
title_full An Experimental Study in Adaptive Kernel Selection for Bayesian Optimization
title_fullStr An Experimental Study in Adaptive Kernel Selection for Bayesian Optimization
title_full_unstemmed An Experimental Study in Adaptive Kernel Selection for Bayesian Optimization
title_short An Experimental Study in Adaptive Kernel Selection for Bayesian Optimization
title_sort experimental study in adaptive kernel selection for bayesian optimization
topic Adaptive kernel selection
Bayesian optimization
Gaussian process
parameter tuning
url https://ieeexplore.ieee.org/document/8936460/
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