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Preference-Aware Constrained Multi-Objective Bayesian Optimization (Student Abstract)

AAAI 2024 · Probabilistic and scientific modeling › Bayesian optimization · approach: Multi-objective Bayesian optimization · 0 citations (OpenAlex)

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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

Measured effects reported in the paper

What was changedWhereMeasuredEffect
use PAC-MOO with equal preferences instead of baseline methodsConstrained multi-objective optimization · SCVRPHVHelped
use PAC-MOO with equal preferences instead of baseline methodsConstrained multi-objective optimization · HCRPHVHelped
use PAC-MOO with equal preferences instead of baseline methodsConstrained multi-objective optimization · OSYPHVHelped
add preferences for the target objectivePAC-MOO · SCVRmaximum discovered feasible value of the preferred objectiveHelped
add preferences for the target objectivePAC-MOO · HCRmaximum discovered feasible value of the preferred objectiveHelped
add preferences for the target objectivePAC-MOO · OSYmaximum discovered feasible value of the preferred objectiveHelped
add preferences for the target objectivePAC-MOO · SCVR and HCRPHVMixed
use a version of USEMOC instead of evolutionary baselinesUSEMOC · Reported benchmarksperformanceHelped

Surprising findings

Limitations

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

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