Chiseling: Powerful and Valid Subgroup Selection via Interactive Machine Learning

Fuente: arXiv
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Main Authors: Cheng, Nathan, Spector, Asher, Janson, Lucas
Format: Preprint
Published: 2025
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author Cheng, Nathan
Spector, Asher
Janson, Lucas
author_facet Cheng, Nathan
Spector, Asher
Janson, Lucas
contents In regression and causal inference, controlled subgroup selection aims to identify, with inferential guarantees, a subgroup (defined as a subset of the covariate space) on which the average response or treatment effect is above a given threshold. E.g., in a clinical trial, it may be of interest to find a subgroup with a positive average treatment effect. However, existing methods either lack inferential guarantees, heavily restrict the search for the subgroup, or sacrifice efficiency by naive data splitting. We propose a novel framework called chiseling that allows the analyst to interactively refine and test a candidate subgroup by iteratively shrinking it. The sole restriction is that the shrinkage direction only depends on the points outside the current subgroup, but otherwise the analyst may leverage any prior information or machine learning algorithm. Despite this flexibility, chiseling controls the probability that the discovered subgroup is null (e.g., has a non-positive average treatment effect) under minimal assumptions: for example, in randomized experiments, this inferential validity guarantee holds under only bounded moment conditions. When applied to a variety of simulated datasets and a real survey experiment, chiseling identifies substantially better subgroups than existing methods with inferential guarantees.
format Preprint
id arxiv_https___arxiv_org_abs_2509_19490
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Chiseling: Powerful and Valid Subgroup Selection via Interactive Machine Learning
Cheng, Nathan
Spector, Asher
Janson, Lucas
Methodology
Machine Learning
In regression and causal inference, controlled subgroup selection aims to identify, with inferential guarantees, a subgroup (defined as a subset of the covariate space) on which the average response or treatment effect is above a given threshold. E.g., in a clinical trial, it may be of interest to find a subgroup with a positive average treatment effect. However, existing methods either lack inferential guarantees, heavily restrict the search for the subgroup, or sacrifice efficiency by naive data splitting. We propose a novel framework called chiseling that allows the analyst to interactively refine and test a candidate subgroup by iteratively shrinking it. The sole restriction is that the shrinkage direction only depends on the points outside the current subgroup, but otherwise the analyst may leverage any prior information or machine learning algorithm. Despite this flexibility, chiseling controls the probability that the discovered subgroup is null (e.g., has a non-positive average treatment effect) under minimal assumptions: for example, in randomized experiments, this inferential validity guarantee holds under only bounded moment conditions. When applied to a variety of simulated datasets and a real survey experiment, chiseling identifies substantially better subgroups than existing methods with inferential guarantees.
title Chiseling: Powerful and Valid Subgroup Selection via Interactive Machine Learning
topic Methodology
Machine Learning
url https://arxiv.org/abs/2509.19490