Generating Interpretable Counterfactual Explanations By Implicit Minimisation of Epistemic and Aleatoric Uncertainties
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Abstract (arXiv)
Counterfactual explanations (CEs) are a practical tool for demonstrating why machine learning classifiers make particular decisions. For CEs to be useful, it is important that they are easy for users to interpret. Existing methods for generating interpretable CEs rely on auxiliary generative models, which may not be suitable for complex datasets, and incur engineering overhead. We introduce a simple and fast method for generating interpretable CEs in a white-box setting without an auxiliary model, by using the predictive uncertainty of the classifier. Our experiments show that our proposed algorithm generates more interpretable CEs, according to IM1 scores, than existing methods. Additionally, our approach allows us to estimate the uncertainty of a CE, which may be important in safety-critical applications, such as those in the medical domain.
Key facts. Cited by 41 papers in the map (data through 7 Oct 2026). Builds on 23 of its 33 references that are in the map. First posted on arXiv 16 Mar 2021.
Builds on
23 of 33 references.
References · 23
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11 more
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- 2018Actionable Recourse in Linear Classificationcited by 327
- 2018Explanations based on the Missing: Towards Contrastive Explanations with Pertinent Negativescited by 261
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- 2019Towards Realistic Individual Recourse and Actionable Explanations in Black-Box Decision Making Systemscited by 128
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Citing papers per year: 2021: 7; 2022: 11; 2023: 7; 2024: 5; 2025: 7; 2026: 4.
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- 2022Diffusion Visual Counterfactual Explanationscited by 96
- 2022Diffusion Causal Models for Counterfactual Estimationcited by 87
- 2021CARLA: A Python Library to Benchmark Algorithmic Recourse and Counterfactual Explanation Algorithmscited by 85
- 2022Diffusion Models for Counterfactual Explanationscited by 79
- 2023High Fidelity Image Counterfactuals with Probabilistic Causal Modelscited by 53
- 2023Adversarial Counterfactual Visual Explanationscited by 47
- 2022Sparse Visual Counterfactual Explanations in Image Spacecited by 30
- 2022Diffeomorphic Counterfactuals with Generative Modelscited by 29
- 2022Scientific Inference With Interpretable Machine Learning: Analyzing Models to Learn About Real-World Phenomenacited by 21
- 2021CounterNet: End-to-End Training of Prediction Aware Counterfactual Explanationscited by 17
- 2021Uncertainty Estimation and Out-of-Distribution Detection for Counterfactual Explanations: Pitfalls and Solutionscited by 16
- 2024Global Counterfactual Directionscited by 15
29 more
- 2024Rethinking Visual Counterfactual Explanations Through Region Constraintcited by 14
- 2022Counterfactual Explanations for Misclassified Images: How Human and Machine Explanations Differcited by 12
- 2023Endogenous Macrodynamics in Algorithmic Recoursecited by 9
- 2021Attribution of Predictive Uncertainties in Classification Modelscited by 8
- 2025Diffusion Counterfactual Generation with Semantic Abductioncited by 8
- 2021On Quantitative Evaluations of Counterfactualscited by 7
- 2021DeDUCE: Generating Counterfactual Explanations Efficientlycited by 6
- 2022What is Flagged in Uncertainty Quantification? Latent Density Models for Uncertainty Categorizationcited by 5
- 2023Designing User-Centric Behavioral Interventions to Prevent Dysglycemia with Novel Counterfactual Explanationscited by 5
- 2023Faithful Model Explanations through Energy-Constrained Conformal Counterfactualscited by 5
- 2025GlyTwin: Digital Twin for Glucose Control in Type 1 Diabetes Through Optimal Behavioral Modifications Using Patient-Centric Counterfactualscited by 5
- 2025From Search To Sampling: Generative Models For Robust Algorithmic Recoursecited by 5
- 2023Explaining Black-Box Models through Counterfactualscited by 4
- 2024Causal Generative Explainers using Counterfactual Inference: A Case Study on the Morpho-MNIST Datasetcited by 4
- 2024Generating Feasible and Plausible Counterfactual Explanations for Outcome Prediction of Business Processescited by 4
- 2025Uncertainty Quantification as a Principled Foundation for Explainable Artificial Intelligence: A Case Study of Counterfactual Explanationscited by 2
- 2026Concerning Uncertainty -- A Systematic Survey of Uncertainty-Aware XAIcited by 2
- 2025Improving Counterfactual Truthfulness for Molecular Property Prediction through Uncertainty Quantificationcited by 1
- 2025Counterfactual Visual Explanation via Causally-Guided Adversarial Steeringcited by 1
- 2026Provably Robust Bayesian Counterfactual Explanations under Model Changescited by 1
- 2021Dense Uncertainty Estimation via an Ensemble-based Conditional Latent Variable Modelcited by 0
- 2022Beyond Model Interpretability: On the Faithfulness and Adversarial Robustness of Contrastive Textual Explanationscited by 0
- 2022Decomposing Counterfactual Explanations for Consequential Decision Makingcited by 0
- 2022Clarity: an improved gradient method for producing quality visual counterfactual explanationscited by 0
- 2023Two-step counterfactual generation for OOD examplescited by 0
- 2024Natural Counterfactuals With Necessary Backtrackingcited by 0
- 2025CONFEX: Uncertainty-Aware Counterfactual Explanations with Conformal Guaranteescited by 0
- 2026Counterfactual Training: Teaching Models Plausible and Actionable Explanationscited by 0
- 2026AVCG: A Generalized Variational Framework for Counterfactual Generation under Hypothesis Distributionscited by 0
- 2026AVCG: A Generalized Variational Framework for Counterfactual Generation under Hypothesis Distributions7 Sep 2026
- 2026Concerning Uncertainty -- A Systematic Survey of Uncertainty-Aware XAI27 Mar 2026
- 2026Provably Robust Bayesian Counterfactual Explanations under Model Changes23 Jan 2026
- 2026Counterfactual Training: Teaching Models Plausible and Actionable Explanations22 Jan 2026
- 2025CONFEX: Uncertainty-Aware Counterfactual Explanations with Conformal Guarantees22 Oct 2025
- 2025Counterfactual Visual Explanation via Causally-Guided Adversarial Steering14 Jul 2025
- 2025Diffusion Counterfactual Generation with Semantic Abduction9 Jun 2025
- 2025From Search To Sampling: Generative Models For Robust Algorithmic Recourse12 May 2025
- 2025GlyTwin: Digital Twin for Glucose Control in Type 1 Diabetes Through Optimal Behavioral Modifications Using Patient-Centric Counterfactuals14 Apr 2025
- 2025Improving Counterfactual Truthfulness for Molecular Property Prediction through Uncertainty Quantification3 Apr 2025
- 2025Uncertainty Quantification as a Principled Foundation for Explainable Artificial Intelligence: A Case Study of Counterfactual Explanations24 Feb 2025
- 2024Rethinking Visual Counterfactual Explanations Through Region Constraint16 Oct 2024
29 more
- 2024Global Counterfactual Directions18 Apr 2024
- 2024Generating Feasible and Plausible Counterfactual Explanations for Outcome Prediction of Business Processes14 Mar 2024
- 2024Natural Counterfactuals With Necessary Backtracking2 Feb 2024
- 2024Causal Generative Explainers using Counterfactual Inference: A Case Study on the Morpho-MNIST Dataset21 Jan 2024
- 2023Faithful Model Explanations through Energy-Constrained Conformal Counterfactuals17 Dec 2023
- 2023Designing User-Centric Behavioral Interventions to Prevent Dysglycemia with Novel Counterfactual Explanations2 Oct 2023
- 2023Endogenous Macrodynamics in Algorithmic Recourse16 Aug 2023
- 2023Explaining Black-Box Models through Counterfactuals14 Aug 2023
- 2023High Fidelity Image Counterfactuals with Probabilistic Causal Models27 Jun 2023
- 2023Adversarial Counterfactual Visual Explanations17 Mar 2023
- 2023Two-step counterfactual generation for OOD examples10 Feb 2023
- 2022Counterfactual Explanations for Misclassified Images: How Human and Machine Explanations Differ16 Dec 2022
- 2022Clarity: an improved gradient method for producing quality visual counterfactual explanations22 Nov 2022
- 2022Decomposing Counterfactual Explanations for Consequential Decision Making3 Nov 2022
- 2022Diffusion Visual Counterfactual Explanations21 Oct 2022
- 2022Beyond Model Interpretability: On the Faithfulness and Adversarial Robustness of Contrastive Textual Explanations17 Oct 2022
- 2022What is Flagged in Uncertainty Quantification? Latent Density Models for Uncertainty Categorization11 Jul 2022
- 2022Scientific Inference With Interpretable Machine Learning: Analyzing Models to Learn About Real-World Phenomena11 Jun 2022
- 2022Diffeomorphic Counterfactuals with Generative Models10 Jun 2022
- 2022Sparse Visual Counterfactual Explanations in Image Space16 May 2022
- 2022Diffusion Models for Counterfactual Explanations29 Mar 2022
- 2022Diffusion Causal Models for Counterfactual Estimation21 Feb 2022
- 2021DeDUCE: Generating Counterfactual Explanations Efficiently29 Nov 2021
- 2021Dense Uncertainty Estimation via an Ensemble-based Conditional Latent Variable Model22 Nov 2021
- 2021On Quantitative Evaluations of Counterfactuals30 Oct 2021
- 2021CounterNet: End-to-End Training of Prediction Aware Counterfactual Explanations15 Sep 2021
- 2021CARLA: A Python Library to Benchmark Algorithmic Recourse and Counterfactual Explanation Algorithms2 Aug 2021
- 2021Uncertainty Estimation and Out-of-Distribution Detection for Counterfactual Explanations: Pitfalls and Solutions20 Jul 2021
- 2021Attribution of Predictive Uncertainties in Classification Models19 Jul 2021
- 2022Diffusion Models for Counterfactual Explanationscited by 79
- 2023Adversarial Counterfactual Visual Explanationscited by 47
- 2024Global Counterfactual Directionscited by 15
- 2025Diffusion Counterfactual Generation with Semantic Abductioncited by 8
- 2025Diffusion Counterfactual Generation with Semantic Abduction9 Jun 2025
- 2024Global Counterfactual Directions18 Apr 2024
- 2023Adversarial Counterfactual Visual Explanations17 Mar 2023
- 2022Diffusion Models for Counterfactual Explanations29 Mar 2022
- 2022Diffusion Visual Counterfactual Explanationscited by 96
- 2022Diffusion Causal Models for Counterfactual Estimationcited by 87
- 2021CARLA: A Python Library to Benchmark Algorithmic Recourse and Counterfactual Explanation Algorithmscited by 85
- 2023High Fidelity Image Counterfactuals with Probabilistic Causal Modelscited by 53
- 2022Sparse Visual Counterfactual Explanations in Image Spacecited by 30
- 2022Diffeomorphic Counterfactuals with Generative Modelscited by 29
- 2022Scientific Inference With Interpretable Machine Learning: Analyzing Models to Learn About Real-World Phenomenacited by 21
- 2021CounterNet: End-to-End Training of Prediction Aware Counterfactual Explanationscited by 17
- 2021Uncertainty Estimation and Out-of-Distribution Detection for Counterfactual Explanations: Pitfalls and Solutionscited by 16
- 2024Rethinking Visual Counterfactual Explanations Through Region Constraintcited by 14
- 2022Counterfactual Explanations for Misclassified Images: How Human and Machine Explanations Differcited by 12
- 2023Endogenous Macrodynamics in Algorithmic Recoursecited by 9
12 most cited of 37 All 37 (JSON)
- 2026AVCG: A Generalized Variational Framework for Counterfactual Generation under Hypothesis Distributions7 Sep 2026
- 2026Concerning Uncertainty -- A Systematic Survey of Uncertainty-Aware XAI27 Mar 2026
- 2026Provably Robust Bayesian Counterfactual Explanations under Model Changes23 Jan 2026
- 2026Counterfactual Training: Teaching Models Plausible and Actionable Explanations22 Jan 2026
- 2025CONFEX: Uncertainty-Aware Counterfactual Explanations with Conformal Guarantees22 Oct 2025
- 2025Counterfactual Visual Explanation via Causally-Guided Adversarial Steering14 Jul 2025
- 2025From Search To Sampling: Generative Models For Robust Algorithmic Recourse12 May 2025
- 2025GlyTwin: Digital Twin for Glucose Control in Type 1 Diabetes Through Optimal Behavioral Modifications Using Patient-Centric Counterfactuals14 Apr 2025
- 2025Improving Counterfactual Truthfulness for Molecular Property Prediction through Uncertainty Quantification3 Apr 2025
- 2025Uncertainty Quantification as a Principled Foundation for Explainable Artificial Intelligence: A Case Study of Counterfactual Explanations24 Feb 2025
- 2024Rethinking Visual Counterfactual Explanations Through Region Constraint16 Oct 2024
- 2024Generating Feasible and Plausible Counterfactual Explanations for Outcome Prediction of Business Processes14 Mar 2024
12 newest of 37 All 37 (JSON)