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Parallel Bayesian Optimization of Multiple Noisy Objectives with Expected Hypervolume Improvement

NeurIPS 2021 · Probabilistic and scientific modeling › Bayesian optimization · approach: Multi-objective Bayesian optimization · 40 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Integrate over uncertainty in the Pareto frontier of observed points (NEHVI) instead of using the observed Pareto frontier (EHVI) (ablation)Noisy multi-objective BO · BraninCurrin, DTLZ2, ABR, VehicleSafety (noisy)log hypervolume differenceHelped
Use NEHVI instead of plugging in the posterior mean (EHVI-PM) (ablation)qEHVI · noisy benchmarkslog hypervolume differenceHelped
Use cached box decompositions instead of inclusion-exclusion principle (ablation)qNEHVI/qEHVI · DTLZ2 batch sizesacquisition optimization wall timeHelped
Use full qNEHVI instead of single-sample-path approximation qNEHVI-1 as dimensionality grows (ablation)qNEHVI · higher-dimensional search spaceshypervolumeMixed
Increase observation noise level up to 30% of objective rangeqNEHVI · noise studyrelative performance vs baselinesNo clear effect

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