Interpretable Counterfactual Explanations Guided by Prototypes
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Abstract (arXiv)
We propose a fast, model agnostic method for finding interpretable counterfactual explanations of classifier predictions by using class prototypes. We show that class prototypes, obtained using either an encoder or through class specific k-d trees, significantly speed up the the search for counterfactual instances and result in more interpretable explanations. We introduce two novel metrics to quantitatively evaluate local interpretability at the instance level. We use these metrics to illustrate the effectiveness of our method on an image and tabular dataset, respectively MNIST and Breast Cancer Wisconsin (Diagnostic). The method also eliminates the computational bottleneck that arises because of numerical gradient evaluation for textitblack box models.
Key facts. Cited by 223 papers in the map (data through 7 Oct 2026). First posted on arXiv 3 Jul 2019.
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Citing papers per year: 2020: 1; 2021: 52; 2022: 43; 2023: 51; 2024: 30; 2025: 28; 2026: 18.
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- 2021Benchmarking and Survey of Explanation Methods for Black Box Modelscited by 136
- 2022OpenXAI: Towards a Transparent Evaluation of Model Explanationscited by 125
- 2021Human-Centered Explainable AI (XAI): From Algorithms to User Experiencescited by 123
- 2021Counterfactual Explanations Can Be Manipulatedcited by 113
- 2021Towards Robust and Reliable Algorithmic Recoursecited by 101
- 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
- 2021If Only We Had Better Counterfactual Explanations: Five Key Deficits to Rectify in the Evaluation of Counterfactual XAI Techniquescited by 82
- 2022Diffusion Models for Counterfactual Explanationscited by 79
- 2022Which Explanation Should I Choose? A Function Approximation Perspective to Characterizing Post Hoc Explanationscited by 77
- 2021NICE: An Algorithm for Nearest Instance Counterfactual Explanationscited by 62
38 more
- 2021Counterfactuals and Causability in Explainable Artificial Intelligence: Theory, Algorithms, and Applicationscited by 59
- 2021Beyond Trivial Counterfactual Explanations with Diverse Valuable Explanationscited by 56
- 2021Explaining Black-Box Algorithms Using Probabilistic Contrastive Counterfactualscited by 55
- 2023High Fidelity Image Counterfactuals with Probabilistic Causal Modelscited by 53
- 2021Exploring Counterfactual Explanations Through the Lens of Adversarial Examples: A Theoretical and Empirical Analysiscited by 52
- 2022Rethinking Explainability as a Dialogue: A Practitioner's Perspectivecited by 52
- 2021Towards the Unification and Robustness of Perturbation and Gradient Based Explanationscited by 47
- 2022Probabilistic Conformal Prediction Using Conditional Random Samplescited by 47
- 2023Adversarial Counterfactual Visual Explanationscited by 47
- 2021Evaluating Robustness of Counterfactual Explanationscited by 41
- 2021Generating Interpretable Counterfactual Explanations By Implicit Minimisation of Epistemic and Aleatoric Uncertaintiescited by 41
- 2022Probabilistically Robust Recourse: Navigating the Trade-offs between Costs and Robustness in Algorithmic Recoursecited by 40
- 2021Consistent Counterfactuals for Deep Modelscited by 37
- 2023Measuring axiomatic soundness of counterfactual image modelscited by 34
- 2022Cycle-Consistent Counterfactuals by Latent Transformationscited by 33
- 2021MEG: Generating Molecular Counterfactual Explanations for Deep Graph Networkscited by 32
- 2022On the Robustness of Sparse Counterfactual Explanations to Adverse Perturbationscited by 32
- 2022On the Privacy Risks of Algorithmic Recoursecited by 32
- 2022Diffeomorphic Counterfactuals with Generative Modelscited by 29
- 2021Conditional Generative Models for Counterfactual Explanationscited by 28
- 2021How Well do Feature Visualizations Support Causal Understanding of CNN Activations?cited by 28
- 2023GLOBE-CE: A Translation-Based Approach for Global Counterfactual Explanationscited by 27
- 2021ECINN: Efficient Counterfactuals from Invertible Neural Networkscited by 26
- 2021Amortized Generation of Sequential Algorithmic Recourses for Black-box Modelscited by 24
- 2022Formalising the Robustness of Counterfactual Explanations for Neural Networkscited by 24
- 2022Explainable AI for clinical and remote health applications: a survey on tabular and time series datacited by 24
- 2022Evaluation Methods and Measures for Causal Learning Algorithmscited by 23
- 2021Counterfactual Explanations for Arbitrary Regression Modelscited by 22
- 2024Benchmarking Counterfactual Image Generationcited by 22
- 2021CX-ToM: Counterfactual Explanations with Theory-of-Mind for Enhancing Human Trust in Image Recognition Modelscited by 20
- 2022On the Trade-Off between Actionable Explanations and the Right to be Forgottencited by 20
- 2022VCNet: A self-explaining model for realistic counterfactual generationcited by 20
- 2023Provably Robust and Plausible Counterfactual Explanations for Neural Networks via Robust Optimisationcited by 20
- 2024Counterfactual Image Editingcited by 20
- 2021A Framework and Benchmarking Study for Counterfactual Generating Methods on Tabular Datacited by 19
- 2021Diverse, Global and Amortised Counterfactual Explanations for Uncertainty Estimatescited by 19
- 2023Model Based Explanations of Concept Driftcited by 19
- 2021Counterfactual Explanations as Interventions in Latent Spacecited by 18
50 most cited of 223 All 223 (JSON)
- 2026Algorithmic Recourse Under Competition30 Sep 2026
- 2026The Role of Causality in Algorithmic Recourse30 Jul 2026
- 2026CEL: Comprehensive Counterfactual Explanations Library and Benchmark24 Jul 2026
- 2026Counterfactuals for Feature-Weighted Clustering16 Jul 2026
- 2026Optimized Instance Alteration for Explaining and Assessing Robustness of Classifiers7 Jul 2026
- 2026Optimal Counterfactual Search in Tree Ensembles: A Study Across Modeling and Solution Paradigms7 May 2026
- 2026Towards Counterfactual Explanation and Assertion Inference for CPS Debugging9 Apr 2026
- 2026Informative Semi-Factuals for XAI: The Elaborated Explanations that People Prefer18 Mar 2026
- 2026Do Metrics for Counterfactual Explanations Align with User Perception?16 Mar 2026
- 2026CEPAE: Conditional Entropy-Penalized Autoencoders for Time Series Counterfactuals17 Feb 2026
- 2026Axiomatic Foundations of Counterfactual Explanations3 Feb 2026
- 2026Fair Recourse for All: Ensuring Individual and Group Fairness in Counterfactual Explanations28 Jan 2026
38 more
- 2026PAR: Plausibility-aware Amortized Recourse Generation24 Jan 2026
- 2026Provably Robust Bayesian Counterfactual Explanations under Model Changes23 Jan 2026
- 2026The Impact of Machine Learning Uncertainty on the Robustness of Counterfactual Explanations20 Jan 2026
- 2026KTCF: Actionable Recourse in Knowledge Tracing via Counterfactual Explanations for Education14 Jan 2026
- 2026Physics-Guided Counterfactual Explanations for Large-Scale Multivariate Time Series: Application in Scalable and Interpretable SEP Event Prediction13 Jan 2026
- 2026On the Definition and Detection of Cherry-Picking in Counterfactual Explanations8 Jan 2026
- 2025Classifier Reconstruction Through Counterfactual-Aware Wasserstein Prototypes11 Dec 2025
- 2025Actionable and diverse counterfactual explanations incorporating domain knowledge and plausibility constraints25 Nov 2025
- 2025Formal Abductive Latent Explanations for Prototype-Based Networks20 Nov 2025
- 2025FunnyNodules: A Customizable Medical Dataset Tailored for Evaluating Explainable AI19 Nov 2025
- 2025From Prototypes to Sparse ECG Explanations: SHAP-Driven Counterfactuals for Multivariate Time-Series Multi-class Classification22 Oct 2025
- 2025LeapFactual: Reliable Visual Counterfactual Explanation Using Conditional Flow Matching16 Oct 2025
- 2025Optimal Robust Recourse with Lp-Bounded Model Change25 Sep 2025
- 2025Learning Conformal Explainers for Image Classifiers25 Sep 2025
- 2025GenFacts-Generative Counterfactual Explanations for Multi-Variate Time Series25 Sep 2025
- 2025An Explainable Gaussian Process Auto-encoder for Tabular Data31 Aug 2025
- 2025Tabular Diffusion Counterfactual Explanations31 Aug 2025
- 2025RealAC: A Domain-Agnostic Framework for Realistic and Actionable Counterfactual Explanations14 Aug 2025
- 2025Counterfactual Visual Explanation via Causally-Guided Adversarial Steering14 Jul 2025
- 2025Explainable Artificial Intelligence in Biomedical Image Analysis: A Comprehensive Survey9 Jul 2025
- 2025Argumentative Ensembling for Robust Recourse under Model Multiplicity25 Jun 2025
- 2025Towards Desiderata-Driven Design of Visual Counterfactual Explainers17 Jun 2025
- 2025Diffusion Counterfactual Generation with Semantic Abduction9 Jun 2025
- 2025Training on Plausible Counterfactuals Removes Spurious Correlations22 May 2025
- 2025On Measuring Intrinsic Causal Attributions in Deep Neural Networks14 May 2025
- 2025Interpretable Event Diagnosis in Water Distribution Networks12 May 2025
- 2025Prediction via Shapley Value Regression7 May 2025
- 2025Predicting Satisfaction of Counterfactual Explanations from Human Ratings of Explanatory Qualities7 Apr 2025
- 2025Explaining Low Perception Model Competency with High-Competency Counterfactuals7 Apr 2025
- 2025HyConEx: Hypernetwork classifier with counterfactual explanations for tabular data16 Mar 2025
- 2025Flexible Counterfactual Explanations with Generative Models24 Feb 2025
- 2025Model-Free Counterfactual Subset Selection at Scale12 Feb 2025
- 2025Counterfactual Explanations for k-means and Gaussian Clustering17 Jan 2025
- 2025Faithful Counterfactual Visual Explanations (FCVE)12 Jan 2025
- 2024Multi-SpaCE: Multi-Objective Subsequence-based Sparse Counterfactual Explanations for Multivariate Time Series Classification14 Dec 2024
- 2024A Comprehensive Guide to Explainable AI: From Classical Models to LLMs1 Dec 2024
- 2024S-CFE: Simple Counterfactual Explanations21 Oct 2024
- 2024HR-Bandit: Human-AI Collaborated Linear Recourse Bandit18 Oct 2024
50 newest of 223 All 223 (JSON)
- 2022Diffusion Models for Counterfactual Explanationscited by 79
- 2023Adversarial Counterfactual Visual Explanationscited by 47
- 2023Latent Diffusion Counterfactual Explanationscited by 17
- 2024Global Counterfactual Directionscited by 15
- 2024Generating Counterfactual Trajectories with Latent Diffusion Models for Concept Discoverycited by 8
- 2025Diffusion Counterfactual Generation with Semantic Abductioncited by 8
- 2023Navigating the Structured What-If Spaces: Counterfactual Generation via Structured Diffusioncited by 5
- 2025LeapFactual: Reliable Visual Counterfactual Explanation Using Conditional Flow Matchingcited by 4
- 2025LeapFactual: Reliable Visual Counterfactual Explanation Using Conditional Flow Matching16 Oct 2025
- 2025Diffusion Counterfactual Generation with Semantic Abduction9 Jun 2025
- 2024Global Counterfactual Directions18 Apr 2024
- 2024Generating Counterfactual Trajectories with Latent Diffusion Models for Concept Discovery16 Apr 2024
- 2023Navigating the Structured What-If Spaces: Counterfactual Generation via Structured Diffusion21 Dec 2023
- 2023Latent Diffusion Counterfactual Explanations10 Oct 2023
- 2023Adversarial Counterfactual Visual Explanations17 Mar 2023
- 2022Diffusion Models for Counterfactual Explanations29 Mar 2022
- 2022On the Privacy Risks of Algorithmic Recoursecited by 32
- 2024The Effect of Data Poisoning on Counterfactual Explanationscited by 3
- 2024The Effect of Data Poisoning on Counterfactual Explanations13 Feb 2024
- 2022On the Privacy Risks of Algorithmic Recourse10 Nov 2022
- 2021Benchmarking and Survey of Explanation Methods for Black Box Modelscited by 136
- 2022OpenXAI: Towards a Transparent Evaluation of Model Explanationscited by 125
- 2021Human-Centered Explainable AI (XAI): From Algorithms to User Experiencescited by 123
- 2021Counterfactual Explanations Can Be Manipulatedcited by 113
- 2021Towards Robust and Reliable Algorithmic Recoursecited by 101
- 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
- 2021If Only We Had Better Counterfactual Explanations: Five Key Deficits to Rectify in the Evaluation of Counterfactual XAI Techniquescited by 82
- 2022Which Explanation Should I Choose? A Function Approximation Perspective to Characterizing Post Hoc Explanationscited by 77
- 2021NICE: An Algorithm for Nearest Instance Counterfactual Explanationscited by 62
- 2021Counterfactuals and Causability in Explainable Artificial Intelligence: Theory, Algorithms, and Applicationscited by 59
12 most cited of 211 All 211 (JSON)
- 2026Algorithmic Recourse Under Competition30 Sep 2026
- 2026The Role of Causality in Algorithmic Recourse30 Jul 2026
- 2026CEL: Comprehensive Counterfactual Explanations Library and Benchmark24 Jul 2026
- 2026Counterfactuals for Feature-Weighted Clustering16 Jul 2026
- 2026Optimized Instance Alteration for Explaining and Assessing Robustness of Classifiers7 Jul 2026
- 2026Optimal Counterfactual Search in Tree Ensembles: A Study Across Modeling and Solution Paradigms7 May 2026
- 2026Towards Counterfactual Explanation and Assertion Inference for CPS Debugging9 Apr 2026
- 2026Informative Semi-Factuals for XAI: The Elaborated Explanations that People Prefer18 Mar 2026
- 2026Do Metrics for Counterfactual Explanations Align with User Perception?16 Mar 2026
- 2026CEPAE: Conditional Entropy-Penalized Autoencoders for Time Series Counterfactuals17 Feb 2026
- 2026Axiomatic Foundations of Counterfactual Explanations3 Feb 2026
- 2026Fair Recourse for All: Ensuring Individual and Group Fairness in Counterfactual Explanations28 Jan 2026
12 newest of 211 All 211 (JSON)