Demographic Parity-aware Individualized Treatment Rules

Fuente: arXiv
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Main Authors: Cui, Wenhai, Su, Wen, Yan, Xiaodong, Zeng, Donglin, Zhao, Xingqiu
Format: Preprint
Published: 2025
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_version_ 1866913810526240768
author Cui, Wenhai
Su, Wen
Yan, Xiaodong
Zeng, Donglin
Zhao, Xingqiu
author_facet Cui, Wenhai
Su, Wen
Yan, Xiaodong
Zeng, Donglin
Zhao, Xingqiu
contents There has been growing interest in developing optimal individualized treatment rules (ITRs) in various fields, such as precision medicine, business decision-making, and social welfare distribution. The application of ITRs within a societal context raises substantial concerns regarding potential discrimination over sensitive attributes such as age, gender, or race. To address this concern directly, we introduce the concept of demographic parity in ITRs. However, estimating an optimal ITR that satisfies the demographic parity requires solving a non-convex constrained optimization problem. To overcome these computational challenges, we employ tailored fairness proxies inspired by demographic parity and transform it into a convex quadratic programming problem. Additionally, we establish the consistency of the proposed estimator and the risk bound. The performance of the proposed method is demonstrated through extensive simulation studies and real data analysis.
format Preprint
id arxiv_https___arxiv_org_abs_2504_19914
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Demographic Parity-aware Individualized Treatment Rules
Cui, Wenhai
Su, Wen
Yan, Xiaodong
Zeng, Donglin
Zhao, Xingqiu
Methodology
There has been growing interest in developing optimal individualized treatment rules (ITRs) in various fields, such as precision medicine, business decision-making, and social welfare distribution. The application of ITRs within a societal context raises substantial concerns regarding potential discrimination over sensitive attributes such as age, gender, or race. To address this concern directly, we introduce the concept of demographic parity in ITRs. However, estimating an optimal ITR that satisfies the demographic parity requires solving a non-convex constrained optimization problem. To overcome these computational challenges, we employ tailored fairness proxies inspired by demographic parity and transform it into a convex quadratic programming problem. Additionally, we establish the consistency of the proposed estimator and the risk bound. The performance of the proposed method is demonstrated through extensive simulation studies and real data analysis.
title Demographic Parity-aware Individualized Treatment Rules
topic Methodology
url https://arxiv.org/abs/2504.19914