Black-box Mixed-Variable Optimisation using a Surrogate Model that Satisfies Integer Constraints
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Publication:6342347
arXiv2006.04508MaRDI QIDQ6342347
Author name not available (Why is that?)
Publication date: 8 June 2020
Abstract: A challenging problem in both engineering and computer science is that of minimising a function for which we have no mathematical formulation available, that is expensive to evaluate, and that contains continuous and integer variables, for example in automatic algorithm configuration. Surrogate-based algorithms are very suitable for this type of problem, but most existing techniques are designed with only continuous or only discrete variables in mind. Mixed-Variable ReLU-based Surrogate Modelling (MVRSM) is a surrogate-based algorithm that uses a linear combination of rectified linear units, defined in such a way that (local) optima satisfy the integer constraints. This method outperforms the state of the art on several synthetic benchmarks with up to 238 continuous and integer variables, and achieves competitive performance on two real-life benchmarks: XGBoost hyperparameter tuning and Electrostatic Precipitator optimisation.
Has companion code repository: https://github.com/lbliek/MVRSM
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