Provably Robust Bayesian Counterfactual Explanations under Model Changes

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Hauptverfasser: Duell, Jamie, Fan, Xiuyi
Format: Preprint
Veröffentlicht: 2026
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author Duell, Jamie
Fan, Xiuyi
author_facet Duell, Jamie
Fan, Xiuyi
contents Counterfactual explanations (CEs) offer interpretable insights into machine learning predictions by answering ``what if?" questions. However, in real-world settings where models are frequently updated, existing counterfactual explanations can quickly become invalid or unreliable. In this paper, we introduce Probabilistically Safe CEs (PSCE), a method for generating counterfactual explanations that are $δ$-safe, to ensure high predictive confidence, and $ε$-robust to ensure low predictive variance. Based on Bayesian principles, PSCE provides formal probabilistic guarantees for CEs under model changes which are adhered to in what we refer to as the $\langle δ, ε\rangle$-set. Uncertainty-aware constraints are integrated into our optimization framework and we validate our method empirically across diverse datasets. We compare our approach against state-of-the-art Bayesian CE methods, where PSCE produces counterfactual explanations that are not only more plausible and discriminative, but also provably robust under model change.
format Preprint
id arxiv_https___arxiv_org_abs_2601_16659
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Provably Robust Bayesian Counterfactual Explanations under Model Changes
Duell, Jamie
Fan, Xiuyi
Machine Learning
Artificial Intelligence
Counterfactual explanations (CEs) offer interpretable insights into machine learning predictions by answering ``what if?" questions. However, in real-world settings where models are frequently updated, existing counterfactual explanations can quickly become invalid or unreliable. In this paper, we introduce Probabilistically Safe CEs (PSCE), a method for generating counterfactual explanations that are $δ$-safe, to ensure high predictive confidence, and $ε$-robust to ensure low predictive variance. Based on Bayesian principles, PSCE provides formal probabilistic guarantees for CEs under model changes which are adhered to in what we refer to as the $\langle δ, ε\rangle$-set. Uncertainty-aware constraints are integrated into our optimization framework and we validate our method empirically across diverse datasets. We compare our approach against state-of-the-art Bayesian CE methods, where PSCE produces counterfactual explanations that are not only more plausible and discriminative, but also provably robust under model change.
title Provably Robust Bayesian Counterfactual Explanations under Model Changes
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2601.16659