Differential Subgroup Discovery: Characterizing Where Two Populations Differ, and Why
- URL: http://arxiv.org/abs/2604.27741v1
- Date: Thu, 30 Apr 2026 11:31:42 GMT
- Title: Differential Subgroup Discovery: Characterizing Where Two Populations Differ, and Why
- Abstract summary: We study the problem of understanding where two populations differ within a feature space.<n> Differential subgroups reveal the regions of the feature space where population-level gaps are most pronounced.
- Score: 36.94047915240195
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We study the problem of understanding where two populations differ within a feature space, which we formalize in the concept of a differential subgroup: a subset of individuals from both populations who, despite sharing similar characteristics, exhibit exceptional differences in a target outcome. Differential subgroups reveal the regions of the feature space where population-level gaps are most pronounced and can help practitioners identify the covariate combinations that are structurally responsible for these differences, e.g.~in clinical analysis, model diagnostics, or treatment-effect studies. We introduce a general optimization objective for discovering differential subgroups and establish conditions under which the resulting subgroups admit a causal interpretation of population differences. We propose DiffSub, a gradient-based approach that discovers interpretable differential subgroups in tabular data. Across synthetic benchmarks, medical case studies, model-error analyses, and treatment-effect settings, DiffSub identifies informative subgroups that reveal where population differences arise and why.
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