Towards Self-Adjusting Weighted Expected Improvement for Bayesian Optimization

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Authors

External Research Organisations

  • Computer Lab of Paris 6 (Lip6)
  • Sorbonne Université
  • Centre national de la recherche scientifique (CNRS)
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Details

Original languageEnglish
Title of host publicationGECCO '23: Proceedings of the Genetic and Evolutionary Computation Conference Companion
Publication statusAccepted/In press - 2023

Abstract

In optimization, we often encounter expensive black-box problems
with unknown problem structures. Bayesian Optimization (BO) is
a popular, surrogate-assisted and thus sample-efficient approach
for this setting. The BO pipeline itself is highly configurable with
many different design choices regarding the initial design, surrogate
model and acquisition function (AF). Unfortunately, our understand-
ing of how to select suitable components for a problem at hand is
very limited. In this work, we focus on the choice of the AF, whose
main purpose it is to balance the trade-off between exploring re-
gions with high uncertainty and those with high promise for good
solutions. We propose Self-Adjusting Weighted Expected Improve-
ment (SAWEI), where we let the exploration-exploitation trade-off
self-adjust in a data-driven manner based on a convergence crite-
rion for BO. On the BBOB functions of the COCO benchmark, our
method performs favorably compared to handcrafted baselines and
serves as a robust default choice for any problem structure. With
SAWEI, we are a step closer to on-the-fly, data-driven and robust
BO designs that automatically adjust their sampling behavior to
the problem at hand.

Keywords

    Bayesian optimization, Weighted Expected Improvement, Self-adjusting, Acquisition function schedules, Upper bound regret

Cite this

Towards Self-Adjusting Weighted Expected Improvement for Bayesian Optimization. / Benjamins, Carolin; Raponi, Elena; Jankovic, Anja et al.
GECCO '23: Proceedings of the Genetic and Evolutionary Computation Conference Companion. 2023.

Research output: Chapter in book/report/conference proceedingConference contributionResearchpeer review

Benjamins, C, Raponi, E, Jankovic, A, Doerr, C & Lindauer, M 2023, Towards Self-Adjusting Weighted Expected Improvement for Bayesian Optimization. in GECCO '23: Proceedings of the Genetic and Evolutionary Computation Conference Companion.
Benjamins, C., Raponi, E., Jankovic, A., Doerr, C., & Lindauer, M. (Accepted/in press). Towards Self-Adjusting Weighted Expected Improvement for Bayesian Optimization. In GECCO '23: Proceedings of the Genetic and Evolutionary Computation Conference Companion
Benjamins C, Raponi E, Jankovic A, Doerr C, Lindauer M. Towards Self-Adjusting Weighted Expected Improvement for Bayesian Optimization. In GECCO '23: Proceedings of the Genetic and Evolutionary Computation Conference Companion. 2023
Benjamins, Carolin ; Raponi, Elena ; Jankovic, Anja et al. / Towards Self-Adjusting Weighted Expected Improvement for Bayesian Optimization. GECCO '23: Proceedings of the Genetic and Evolutionary Computation Conference Companion. 2023.
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AU - Raponi, Elena

AU - Jankovic, Anja

AU - Doerr, Carola

AU - Lindauer, Marius

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N2 - In optimization, we often encounter expensive black-box problemswith unknown problem structures. Bayesian Optimization (BO) isa popular, surrogate-assisted and thus sample-efficient approachfor this setting. The BO pipeline itself is highly configurable withmany different design choices regarding the initial design, surrogatemodel and acquisition function (AF). Unfortunately, our understand-ing of how to select suitable components for a problem at hand isvery limited. In this work, we focus on the choice of the AF, whosemain purpose it is to balance the trade-off between exploring re-gions with high uncertainty and those with high promise for goodsolutions. We propose Self-Adjusting Weighted Expected Improve-ment (SAWEI), where we let the exploration-exploitation trade-offself-adjust in a data-driven manner based on a convergence crite-rion for BO. On the BBOB functions of the COCO benchmark, ourmethod performs favorably compared to handcrafted baselines andserves as a robust default choice for any problem structure. WithSAWEI, we are a step closer to on-the-fly, data-driven and robustBO designs that automatically adjust their sampling behavior tothe problem at hand.

AB - In optimization, we often encounter expensive black-box problemswith unknown problem structures. Bayesian Optimization (BO) isa popular, surrogate-assisted and thus sample-efficient approachfor this setting. The BO pipeline itself is highly configurable withmany different design choices regarding the initial design, surrogatemodel and acquisition function (AF). Unfortunately, our understand-ing of how to select suitable components for a problem at hand isvery limited. In this work, we focus on the choice of the AF, whosemain purpose it is to balance the trade-off between exploring re-gions with high uncertainty and those with high promise for goodsolutions. We propose Self-Adjusting Weighted Expected Improve-ment (SAWEI), where we let the exploration-exploitation trade-offself-adjust in a data-driven manner based on a convergence crite-rion for BO. On the BBOB functions of the COCO benchmark, ourmethod performs favorably compared to handcrafted baselines andserves as a robust default choice for any problem structure. WithSAWEI, we are a step closer to on-the-fly, data-driven and robustBO designs that automatically adjust their sampling behavior tothe problem at hand.

KW - Bayesian optimization

KW - Weighted Expected Improvement

KW - Self-adjusting

KW - Acquisition function schedules

KW - Upper bound regret

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