Group Distributionally Robust Machine Learning under Group Level Distributional Uncertainty

Fuente: arXiv
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Main Authors: Konti, Xenia, Shen, Yi, Wang, Zifan, Johansson, Karl Henrik, Pencina, Michael J., Economou-Zavlanos, Nicoleta J., Zavlanos, Michael M.
Format: Preprint
Published: 2025
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author Konti, Xenia
Shen, Yi
Wang, Zifan
Johansson, Karl Henrik
Pencina, Michael J.
Economou-Zavlanos, Nicoleta J.
Zavlanos, Michael M.
author_facet Konti, Xenia
Shen, Yi
Wang, Zifan
Johansson, Karl Henrik
Pencina, Michael J.
Economou-Zavlanos, Nicoleta J.
Zavlanos, Michael M.
contents The performance of machine learning (ML) models critically depends on the quality and representativeness of the training data. In applications with multiple heterogeneous data generating sources, standard ML methods often learn spurious correlations that perform well on average but degrade performance for atypical or underrepresented groups. Prior work addresses this issue by optimizing the worst-group performance. However, these approaches typically assume that the underlying data distributions for each group can be accurately estimated using the training data, a condition that is frequently violated in noisy, non-stationary, and evolving environments. In this work, we propose a novel framework that relies on Wasserstein-based distributionally robust optimization (DRO) to account for the distributional uncertainty within each group, while simultaneously preserving the objective of improving the worst-group performance. We develop a gradient descent-ascent algorithm to solve the proposed DRO problem and provide convergence results. Finally, we validate the effectiveness of our method on real-world data.
format Preprint
id arxiv_https___arxiv_org_abs_2509_08942
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Group Distributionally Robust Machine Learning under Group Level Distributional Uncertainty
Konti, Xenia
Shen, Yi
Wang, Zifan
Johansson, Karl Henrik
Pencina, Michael J.
Economou-Zavlanos, Nicoleta J.
Zavlanos, Michael M.
Machine Learning
The performance of machine learning (ML) models critically depends on the quality and representativeness of the training data. In applications with multiple heterogeneous data generating sources, standard ML methods often learn spurious correlations that perform well on average but degrade performance for atypical or underrepresented groups. Prior work addresses this issue by optimizing the worst-group performance. However, these approaches typically assume that the underlying data distributions for each group can be accurately estimated using the training data, a condition that is frequently violated in noisy, non-stationary, and evolving environments. In this work, we propose a novel framework that relies on Wasserstein-based distributionally robust optimization (DRO) to account for the distributional uncertainty within each group, while simultaneously preserving the objective of improving the worst-group performance. We develop a gradient descent-ascent algorithm to solve the proposed DRO problem and provide convergence results. Finally, we validate the effectiveness of our method on real-world data.
title Group Distributionally Robust Machine Learning under Group Level Distributional Uncertainty
topic Machine Learning
url https://arxiv.org/abs/2509.08942