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PABBO: Preferential Amortized Black-Box Optimization

ICLR 2025 · Probabilistic and scientific modeling › Bayesian optimization · approach: Acquisition function design · 0 citations (OpenAlex)

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Fully amortizes preferential Bayesian optimization by meta-training a transformer neural process with RL and an auxiliary BCE preference-prediction loss, giving much faster inference than GP-based PBO.

Problem

Preferential Bayesian optimization needs costly approximate GP inference and acquisition optimization at every step, which is too slow for interactive human-in-the-loop use from pairwise duel feedback.

Approach

Meta-learn a transformer neural process that directly outputs acquisition values for candidate query pairs conditioned on preference history, trained with RL (discounted cumulative simple regret reward) plus an auxiliary binary-classification preference-prediction loss to handle sparse rewards.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use PABBO instead of the fastest GP-based strategyPreferential black-box optimization · 5 synthetic problemsinference speed: 12-foldHelped
Replace latent-value rewards with rankings during pre-training (ablation)PABBO · Forrester and other tested functionssimple regretNo clear effect
Use a smaller discount factor (ablation)PABBO · Forrestersimple regretMixed
Increase the discount factor (ablation)PABBO · Forrestercumulative simple regretHelped
Increase query set size from 256 to 1024 (ablation)PABBO · 2D Braninsimple regretHelped
Pre-train on a mixture of kernels instead of only an RBF kernel (ablation)PABBO · 30 2D GP drawssimple regretHelped
Add a prediction-task-only warm-up phase (ablation)PABBO · Three 2D functionsoptimization performanceHelped
Vary the auxiliary loss weight after including warm-up (ablation)PABBO · Three 2D functionsoptimization performanceNo clear effect
Include t/T as input to the acquisition head (ablation)PABBO · Forrestersimple regretHelped
Increase the query budget while providing t/T to the acquisition head (ablation)PABBO · Forrestercumulative simple regretHelped
Use a larger discount factor (ablation)PABBO · Forrestersimple regretMixed

Surprising findings

Limitations

Experimental setup

Datasets: synthetic GP draws HPO-B Candy power ranking dataset Sushi preference dataset

Benchmarks: Forrester Branin Beale HPO-B Candy Sushi

Metrics: simple regret cumulative simple regret inference time

Baselines: qEUBO qEI qNEI qTS MPES Random

Builds on: Deep Adaptive Design Transformer neural processes Conditional neural processes BoTorch

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