Research map / Probabilistic and scientific modeling / Bayesian optimization
Preference-Aware Constrained Multi-Objective Bayesian Optimization (Student Abstract)
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Proposes PAC-MOO, a preference-aware constrained multi-objective Bayesian optimization method that weights an information-gain acquisition function (MESMOC-style) over objectives and constraints and adds a feasibility-seeking probability term.
Problem
Constrained multi-objective black-box optimization with user preferences over objectives, large design spaces, and rare feasible inputs that are expensive to find.
Approach
Injects designer preferences into an information-theoretic constrained MOO acquisition function by a convex combination of per-function entropy terms, and adds a product-of-constraint-probabilities acquisition for finding feasible regions.
Key results
- On the modified OSY problem, PAC-MOO with no preferences typically outperforms all baselines in PHV, per the paper's figures.
- PAC-MOO with preferences finds feasible designs with higher values of the preferred objective than all baselines (Figures 1b, 1d, 1f).
- Preference weighting can reduce hypervolume in some cases, while PHV remains competitive with PAC-MOO-0.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| use PAC-MOO with equal preferences instead of baseline methods | Constrained multi-objective optimization · SCVR | PHV | Helped |
| use PAC-MOO with equal preferences instead of baseline methods | Constrained multi-objective optimization · HCR | PHV | Helped |
| use PAC-MOO with equal preferences instead of baseline methods | Constrained multi-objective optimization · OSY | PHV | Helped |
| add preferences for the target objective | PAC-MOO · SCVR | maximum discovered feasible value of the preferred objective | Helped |
| add preferences for the target objective | PAC-MOO · HCR | maximum discovered feasible value of the preferred objective | Helped |
| add preferences for the target objective | PAC-MOO · OSY | maximum discovered feasible value of the preferred objective | Helped |
| add preferences for the target objective | PAC-MOO · SCVR and HCR | PHV | Mixed |
| use a version of USEMOC instead of evolutionary baselines | USEMOC · Reported benchmarks | performance | Helped |
Surprising findings
- Emphasizing preferred objectives can lower hypervolume, since PHV measures overall Pareto front quality rather than the preferred region.
Limitations
- Preference-weighted performance can trade off hypervolume against the preferred objective.
- Evaluation is limited to a modified OSY problem in this abstract; full details are deferred to an extended version.
Experimental setup
Datasets: modified OSY problem SCVR HCR
Benchmarks: modified OSY SCVR HCR
Metrics: pareto hypervolume (PHV) maximum discovered feasible preferred objective value
Baselines: PAC-MOO-0 USEMOC evolutionary baselines
Builds on: MESMOC USEMOC
Closest papers by meaning
- Multi-Objective Bayesian Optimization with Active Preference Learning (AAAI 2024 · similarity 0.92)
- User Preference Meets Pareto-Optimality in Multi-Objective Bayesian Optimization (AAAI 2025 · similarity 0.91)
- FERERO: A Flexible Framework for Preference-Guided Multi-Objective Learning (NeurIPS 2024 · similarity 0.89)
- MOBO-OSD: Batch Multi-Objective Bayesian Optimization via Orthogonal Search Directions (NeurIPS 2025 · similarity 0.89)
- Principled Preferential Bayesian Optimization (ICML 2024 · similarity 0.88)
- Pareto Front-Diverse Batch Multi-Objective Bayesian Optimization (AAAI 2024 · similarity 0.88)
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