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Monte Carlo Tree Search based Variable Selection for High Dimensional Bayesian Optimization

NeurIPS 2022 · Probabilistic and scientific modeling › Bayesian optimization · approach: Acquisition function design · 10 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Select variables with MCTS instead of selecting a fixed-size subset randomlyBO on high-dimensional synthetic functions · Hartmann and Levyoptimization performanceHelped
Use MCTS variable selection with TuRBOTuRBO · Hartmann and Levy synthetic functionsoptimization performanceMixed
Use MCTS variable selection instead of optimizing all dimensionsBO on high-dimensional synthetic functions · Levy10_100, Levy10_300, Hartmann6_300, Hartmann6_500wall clock time (seconds): 3.190 -> 2.683; 4.140 -> 3.753; 4.844 -> 3.711; 5.540 -> 4.590Helped
Use MCTS variable partitioning instead of random variable selectionvariable selection · Levy10_100, Levy10_300, Hartmann6_300, Hartmann6_500recall: 0.100 -> 0.429; 0.030 -> 0.433; 0.020 -> 0.352; 0.012 -> 0.350Helped
Use MCTS-VS-BO rather than competing BO methodshigh-dimensional synthetic optimization · synthetic functionsoptimization performanceMixed
Use MCTS-VS-BO rather than other methodsBO on NAS-Bench tasks · NAS-Bench-101 and NAS-Bench-201performance versus wall clock timeHelped
Combine MCTS variable selection with TuRBOTuRBO on Hopper · Hopperaccumulative rewardHelped
Use MCTS-VS-BO rather than other methodsBO on Walker2d · Walker2daccumulative rewardHelped
Use the best-k fill-in strategy for unoptimized variables (ablation)MCTS-VS · high-dimensional BOoptimization performanceHelped
Optimize only selected variables rather than all dimensionsgeneral variable selection for BO · high-dimensional BOcomputational complexityHelped

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