Decision-Focused Evaluation of Worst-Case Distribution Shift

Fuente: arXiv
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Auteurs principaux: Ren, Kevin, Byun, Yewon, Wilder, Bryan
Format: Preprint
Publié: 2024
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author Ren, Kevin
Byun, Yewon
Wilder, Bryan
author_facet Ren, Kevin
Byun, Yewon
Wilder, Bryan
contents Distribution shift is a key challenge for predictive models in practice, creating the need to identify potentially harmful shifts in advance of deployment. Existing work typically defines these worst-case shifts as ones that most degrade the individual-level accuracy of the model. However, when models are used to make a downstream population-level decision like the allocation of a scarce resource, individual-level accuracy may be a poor proxy for performance on the task at hand. We introduce a novel framework that employs a hierarchical model structure to identify worst-case distribution shifts in predictive resource allocation settings by capturing shifts both within and across instances of the decision problem. This task is more difficult than in standard distribution shift settings due to combinatorial interactions, where decisions depend on the joint presence of individuals in the allocation task. We show that the problem can be reformulated as a submodular optimization problem, enabling efficient approximations of worst-case loss. Applying our framework to real data, we find empirical evidence that worst-case shifts identified by one metric often significantly diverge from worst-case distributions identified by other metrics.
format Preprint
id arxiv_https___arxiv_org_abs_2407_03557
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Decision-Focused Evaluation of Worst-Case Distribution Shift
Ren, Kevin
Byun, Yewon
Wilder, Bryan
Machine Learning
Distribution shift is a key challenge for predictive models in practice, creating the need to identify potentially harmful shifts in advance of deployment. Existing work typically defines these worst-case shifts as ones that most degrade the individual-level accuracy of the model. However, when models are used to make a downstream population-level decision like the allocation of a scarce resource, individual-level accuracy may be a poor proxy for performance on the task at hand. We introduce a novel framework that employs a hierarchical model structure to identify worst-case distribution shifts in predictive resource allocation settings by capturing shifts both within and across instances of the decision problem. This task is more difficult than in standard distribution shift settings due to combinatorial interactions, where decisions depend on the joint presence of individuals in the allocation task. We show that the problem can be reformulated as a submodular optimization problem, enabling efficient approximations of worst-case loss. Applying our framework to real data, we find empirical evidence that worst-case shifts identified by one metric often significantly diverge from worst-case distributions identified by other metrics.
title Decision-Focused Evaluation of Worst-Case Distribution Shift
topic Machine Learning
url https://arxiv.org/abs/2407.03557