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Batched High-dimensional Bayesian Optimization via Structural Kernel Learning

ICML 2017 · Probabilistic and scientific modeling › Bayesian optimization · approach: High-dimensional Bayesian optimization · 20 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
learn the additive decomposition with Gibbs sampling instead of using no partitionsAdd-GP-UCB · Synthetic additive functions, including higher-dimensional settingsregretHelped
learn decompositions with Gibbs sampling instead of randomly sampling candidate decompositionsAdd-GP-UCB · Synthetic additive functionsregretHelped
increase the number of observations used for decomposition learningGibbs decomposition learner · Synthetic additive functionsdecomposition recovery: 0.21 ± 0.13 -> 0.93 ± 0.15Helped
limit learned group sizes to at most 2 (ablation)Gibbs decomposition learner on Walker · Walker, 25 parameterssimple regretHelped
use an unconstrained additive decomposition on a function without additive structure (ablation)Gibbs decomposition learner on Walker · Walker, 25 parameterssimple regretHurt
use diverse batch selection (PE or DPP) rather than uniform random batch samplingBatch-UCB methods with known additive structure · Synthetic functions, D=2, 10, 20, and 50regretHelped
combine DPP samples by maximizing UCB quality rather than random combination (ablation)Batch-UCB-DPP · Walkersimple regretHelped
vary the Dirichlet prior scale α (ablation)Gibbs decomposition learner · Decomposition recoveryRand IndexNo clear effect

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