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Bayesian Optimization with a Finite Budget: An Approximate Dynamic Programming Approach

NeurIPS 2016 · Learning theory and algorithms › Combinatorial and search optimization · approach: Decision-focused optimization · 56 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace greedy EI with rollout (h=4, gamma=1.0) lookaheadBayesian optimization · GP-generated functions mean gapgap G: 0.762 -> 0.842Helped
Replace greedy EI with rollout (h=4, gamma=1.0) lookaheadBayesian optimization · GP-generated functions median gapgap G: 0.777 -> 0.917Helped
Use the worst rollout configuration (h=3, gamma=0.9) instead of EIRollout · GP-generated functions mean gapgap G: 0.762 -> 0.767Helped
Use the worst median rollout configuration (h=4, gamma=0.7) instead of EIRollout · GP-generated functions median gapgap G: 0.777 -> 0.806Helped
Increase rolling horizon h from 2 to 5 (ablation)Rollout · GP-generated functions mean gapgap G: 0.818 -> 0.812No clear effect
Vary discount factor gamma from 0.5 to 1.0 (ablation)Rollout · GP-generated functions mean gapgap G: 0.799 -> 0.842No clear effect
Replace GP-UCB with rollout (h=4, gamma=1.0)Bayesian optimization · GP-generated functions mean gapgap G: 0.711 -> 0.842Helped
Replace PI with rollout (h=4, gamma=1.0)Bayesian optimization · GP-generated functions mean gapgap G: 0.698 -> 0.842Helped
Replace non-greedy GLASSES with rollout R-4-9Bayesian optimization · Test functions (Table 2)gap G: 5 of 6 metrics betterMixed
Replace PES with rolloutBayesian optimization · Test functions (Table 2)gap G: 3 of 8 metrics best for rollout, 3 of 8 for PESMixed

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