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Bayesian optimization under mixed constraints with a slack-variable augmented Lagrangian

NeurIPS 2016 · Probabilistic and scientific modeling › Bayesian optimization · approach: Acquisition function design · 49 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Aggressively optimize EI with L-BFGS-B in the slack-AL early on (ablation)Slack-AL · LSQ problem, iteration 10best valid objective: 0.902 -> 0.957Hurt
Add L-BFGS-B optimization of EI to the slack-AL at later iterations (ablation)Slack-AL · LSQ problem, iteration 30best valid objective: 0.6010 -> 0.6002Helped
Replace original AL with slack-variable ALALBO · LSQ problem, iteration 30best valid objective: 0.689 -> 0.6010Helped
Slack-AL+optim vs PESC (best vs worst at iteration 10)ALBO · LSQ problem, iteration 10best valid objective: 0.861 -> 0.957Hurt
Use slack-AL with L-BFGS-B optimized EI versus EFI, nlopt and NOMADALBO · Linear-Hartman-Ackley mixed constraintsbest valid objectiveHelped
Use slack-AL with optimization versus EFIALBO · GBSP problemproportion of valid and optimal runsHelped
Use slack-AL instead of original ALALBO · GBSP problembest valid objectiveHelped
Default slack choice relying on GP posterior mean under non-smooth constraintsSlack-AL · Lockwood problembest valid objectiveHurt

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