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26 April 2024
 
  » arxiv » 1612.0393

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Hypervolume-based Multi-objective Bayesian Optimization with Student-t Processes
Joachim van der Herten ; Ivo Couckuyt ; Tom Dhaene ;
Date 1 Dec 2016
AbstractStudent-$t$ processes have recently been proposed as an appealing alternative non-parameteric function prior. They feature enhanced flexibility and predictive variance. In this work the use of Student-$t$ processes are explored for multi-objective Bayesian optimization. In particular, an analytical expression for the hypervolume-based probability of improvement is developed for independent Student-$t$ process priors of the objectives. Its effectiveness is shown on a multi-objective optimization problem which is known to be difficult with traditional Gaussian processes.
Source arXiv, 1612.0393
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