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Too Good to Conform: The Inverse Quality Paradox in Counterfactual Filtering
Proceedings of the Fifteenth Symposium on Conformal and Probabilistic Prediction with Applications, PMLR 329:1073-1075, 2026.
Abstract
As machine learning models enter high-stakes decision-making, explanations must be interpretable, reliable, and uncertainty-aware (Löfström et al., 2024, 2026). Counterfactuals (CFs) are a prominent explanation form, but their plausibility remains difficult to guarantee (Guidotti, 2024). Conformal prediction (Vovk et al., 2022) addresses this through generate-then-filter, which validates candidates post-hoc (Bates et al., 2023; Maalej et al., 2025; Adams et al., 2025), or filter-then-generate, which incorporates conformal constraints into generation (Altmeyer et al., 2024; Bilkhoo et al., 2025). We study the former. Although nonconformity-measure (NCM) design is actively studied in other conformal settings (Narteni et al., 2026), its role as a structural failure point in counterfactual filtering remains unexplored. We show that an NCM assigning greater nonconformity to candidates closer to xi can systematically reject the most proximal valid CFs — as generator quality (proximity to xi among candidates achieving the desired prediction change) improves, nonconformity increases, producing an inverse quality paradox. Our contributions are to: (i) formalise this failure for the reciprocal-distance score Aprox; (ii) show that it can reject reference-supported candidates while accepting candidates outside the data-supported region; and (iii) demonstrate that a score AR anchored to a fixed in-distribution reference set removes this dependence on xi and retains standard conformal validity under exchangeability.