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Max-value Entropy Search for Efficient Bayesian Optimization

ICML 2017 · Probabilistic and scientific modeling › Bayesian optimization · approach: Local and high-dimensional Bayesian optimization · 189 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use MES-G instead of PESBayesian optimization · Eggholderinference regret: 37.94 ± 26.05 -> 46.56 ± 27.05Hurt
Use MES-G instead of ESTBayesian optimization · Shekelinference regret: 5.57 ± 2.56 -> 5.45 ± 2.07Helped
Use MES-G instead of EIBayesian optimization · Michalewiczinference regret: 4.80 ± 0.60 -> 4.49 ± 0.51Helped
Use MES-G instead of PESBayesian optimization · Boston housinginference regret: 1.52 ± 0.32 -> 1.51 ± 0.61Helped
Use MES-G instead of UCBBayesian optimization · Breast cancerinference regret (%): 3.83 ± 0.01 -> 3.83 ± 0.01No clear effect
Use MES-R instead of PIBayesian optimization · Robot pushing, 4-d actioninference regret: 0.16 ± 0.20 -> 0.16 ± 0.10No clear effect
Use MES-G instead of ESBayesian optimization · Robot pushing, 3-d actioninference regret: 0.62 ± 0.59 -> 0.61 ± 1.26Helped
Use Gumbel sampling rather than posterior-function random-feature sampling (ablation)MES · Synthetic functions, 3-dimensional GPsimple and inference regretHelped
Increase the number of sampled maxima from 1 to 10 or 100 (ablation)MES-G and MES-R · Synthetic functions, 3-dimensional GPsimple and inference regretNo clear effect
Increase the number of sampled argmaxes from 1 or 10 to 100 (ablation)PES · Synthetic functions, 3-dimensional GPsimple and inference regretHelped
Use MES-G instead of MES-R (ablation)Add-MES · Synthetic additive functions, d=10, 20, 30simple regretHelped
Use MES-R instead of MES-G (ablation)Add-MES · Synthetic additive functions, d=50, 100simple regretHelped

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