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Counterfactual Training: Teaching Models Plausible and Actionable Explanations

arXiv 2601.16205 ↗First posted 22 Jan 2026cs.LG cs.AIcited by 0

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Abstract (arXiv)

We propose a novel training regime termed counterfactual training that leverages counterfactual explanations to increase the explanatory capacity of models. Counterfactual explanations have emerged as a popular post-hoc explanation method for opaque machine learning models: they inform how factual inputs would need to change in order for a model to produce some desired output. To be useful in real-world decision-making systems, counterfactuals should be plausible with respect to the underlying data and actionable with respect to the feature mutability constraints. Much existing research has therefore focused on developing post-hoc methods to generate counterfactuals that meet these desiderata. In this work, we instead hold models directly accountable for the desired end goal: counterfactual training employs counterfactuals during the training phase to minimize the divergence between learned representations and plausible, actionable explanations. We demonstrate empirically and theoretically that our proposed method facilitates training models that deliver inherently desirable counterfactual explanations and additionally exhibit improved adversarial robustness.

Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 28 of its 46 references that are in the map. First posted on arXiv 22 Jan 2026.

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28 of 46 references.

References · 28

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  12. 2021Hyperparameter Optimization: Foundations, Algorithms, Best Practices and Open Challengescited by 145
16 more
  1. 2019Towards Realistic Individual Recourse and Actionable Explanations in Black-Box Decision Making Systemscited by 131
  2. 2020A survey of algorithmic recourse: definitions, formulations, solutions, and prospectscited by 118
  3. 2021Counterfactual Generative Networkscited by 111
  4. 2020Adversarial Robustness on In- and Out-Distribution Improves Explainabilitycited by 73
  5. 2020The Case for Bayesian Deep Learningcited by 69
  6. 2020Learning What Makes a Difference from Counterfactual Examples and Gradient Supervisioncited by 66
  7. 2021Exploring Counterfactual Explanations Through the Lens of Adversarial Examples: A Theoretical and Empirical Analysiscited by 52
  8. 2020The Intriguing Relation Between Counterfactual Explanations and Adversarial Examplescited by 44
  9. 2021Generating Interpretable Counterfactual Explanations By Implicit Minimisation of Epistemic and Aleatoric Uncertaintiescited by 41
  10. 2021Counterfactual Explanations for Arbitrary Regression Modelscited by 22
  11. 2020Learning Models for Actionable Recoursecited by 18
  12. 2021CounterNet: End-to-End Training of Prediction Aware Counterfactual Explanationscited by 17
  13. 2024Fairness in Algorithmic Recourse Through the Lens of Substantive Equality of Opportunitycited by 9
  14. 2022Efficient Adversarial Training With Data Pruningcited by 7
  15. 2023Faithful Model Explanations through Energy-Constrained Conformal Counterfactualscited by 5
  16. 2023Explaining Black-Box Models through Counterfactualscited by 4

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