Binary Choice under Asymmetric Loss in a Data-Rich Environment: Theory and an Application to Algorithmic Fairness

Fuente: arXiv
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Autores principales: Babii, Andrii, Chen, Xi, Ghysels, Eric, Kumar, Rohit
Formato: Preprint
Publicado: 2020
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author Babii, Andrii
Chen, Xi
Ghysels, Eric
Kumar, Rohit
author_facet Babii, Andrii
Chen, Xi
Ghysels, Eric
Kumar, Rohit
contents We study the binary choice problem in a data-rich environment with asymmetric loss functions. The econometrics literature covers nonparametric binary choice problems but does not offer computationally attractive solutions in data-rich environments. The machine learning literature has many algorithms but is focused mostly on loss functions that are independent of covariates. We show that theoretically valid decisions on binary outcomes with general loss functions can be achieved via a very simple loss-based reweighting of logistic regression or state-of-the-art machine learning techniques. We apply our analysis to algorithmic fairness in pretrial detentions.
format Preprint
id arxiv_https___arxiv_org_abs_2010_08463
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Binary Choice under Asymmetric Loss in a Data-Rich Environment: Theory and an Application to Algorithmic Fairness
Babii, Andrii
Chen, Xi
Ghysels, Eric
Kumar, Rohit
Econometrics
Statistics Theory
Applications
Methodology
Machine Learning
We study the binary choice problem in a data-rich environment with asymmetric loss functions. The econometrics literature covers nonparametric binary choice problems but does not offer computationally attractive solutions in data-rich environments. The machine learning literature has many algorithms but is focused mostly on loss functions that are independent of covariates. We show that theoretically valid decisions on binary outcomes with general loss functions can be achieved via a very simple loss-based reweighting of logistic regression or state-of-the-art machine learning techniques. We apply our analysis to algorithmic fairness in pretrial detentions.
title Binary Choice under Asymmetric Loss in a Data-Rich Environment: Theory and an Application to Algorithmic Fairness
topic Econometrics
Statistics Theory
Applications
Methodology
Machine Learning
url https://arxiv.org/abs/2010.08463