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Pessimistic Off-Policy Multi-Objective Optimization
Proceedings of The 27th International Conference on Artificial Intelligence and Statistics, PMLR 238:2980-2988, 2024.
Abstract
Multi-objective optimization is a class of optimization problems with multiple conflicting objectives. We study offline optimization of multi-objective policies from data collected by a previously deployed policy. We propose a pessimistic estimator for policy values that can be easily plugged into existing formulas for hypervolume computation and optimized. The estimator is based on inverse propensity scores (IPS), and improves upon a naive IPS estimator in both theory and experiments. Our analysis is general, and applies beyond our IPS estimators and methods for optimizing them.