Black-Box Optimization with Implicit Constraints for Public Policy

Fuente: arXiv
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Autori principali: Xing, Wenqian, Lee, JungHo, Liu, Chong, Zhu, Shixiang
Natura: Preprint
Pubblicazione: 2023
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author Xing, Wenqian
Lee, JungHo
Liu, Chong
Zhu, Shixiang
author_facet Xing, Wenqian
Lee, JungHo
Liu, Chong
Zhu, Shixiang
contents Black-box optimization (BBO) has become increasingly relevant for tackling complex decision-making problems, especially in public policy domains such as police redistricting. However, its broader application in public policymaking is hindered by the complexity of defining feasible regions and the high-dimensionality of decisions. This paper introduces a novel BBO framework, termed as the Conditional And Generative Black-box Optimization (CageBO). This approach leverages a conditional variational autoencoder to learn the distribution of feasible decisions, enabling a two-way mapping between the original decision space and a simplified, constraint-free latent space. The CageBO efficiently handles the implicit constraints often found in public policy applications, allowing for optimization in the latent space while evaluating objectives in the original space. We validate our method through a case study on large-scale police redistricting problems in Atlanta, Georgia. Our results reveal that our CageBO offers notable improvements in performance and efficiency compared to the baselines.
format Preprint
id arxiv_https___arxiv_org_abs_2310_18449
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Black-Box Optimization with Implicit Constraints for Public Policy
Xing, Wenqian
Lee, JungHo
Liu, Chong
Zhu, Shixiang
Machine Learning
Computational Engineering, Finance, and Science
Black-box optimization (BBO) has become increasingly relevant for tackling complex decision-making problems, especially in public policy domains such as police redistricting. However, its broader application in public policymaking is hindered by the complexity of defining feasible regions and the high-dimensionality of decisions. This paper introduces a novel BBO framework, termed as the Conditional And Generative Black-box Optimization (CageBO). This approach leverages a conditional variational autoencoder to learn the distribution of feasible decisions, enabling a two-way mapping between the original decision space and a simplified, constraint-free latent space. The CageBO efficiently handles the implicit constraints often found in public policy applications, allowing for optimization in the latent space while evaluating objectives in the original space. We validate our method through a case study on large-scale police redistricting problems in Atlanta, Georgia. Our results reveal that our CageBO offers notable improvements in performance and efficiency compared to the baselines.
title Black-Box Optimization with Implicit Constraints for Public Policy
topic Machine Learning
Computational Engineering, Finance, and Science
url https://arxiv.org/abs/2310.18449