Fast Hierarchical Games for Image Explanations
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Abstract (arXiv)
As modern complex neural networks keep breaking records and solving harder problems, their predictions also become less and less intelligible. The current lack of interpretability often undermines the deployment of accurate machine learning tools in sensitive settings. In this work, we present a model-agnostic explanation method for image classification based on a hierarchical extension of Shapley coefficients--Hierarchical Shap (h-Shap)--that resolves some of the limitations of current approaches. Unlike other Shapley-based explanation methods, h-Shap is scalable and can be computed without the need of approximation. Under certain distributional assumptions, such as those common in multiple instance learning, h-Shap retrieves the exact Shapley coefficients with an exponential improvement in computational complexity. We compare our hierarchical approach with popular Shapley-based and non-Shapley-based methods on a synthetic dataset, a medical imaging scenario, and a general computer vision problem, showing that h-Shap outperforms the state of the art in both accuracy and runtime. Code and experiments are made publicly available.
Key facts. Cited by 15 papers in the map (data through 14 Oct 2026). Builds on 24 of its 50 references that are in the map. First posted on arXiv 13 Apr 2021.
Builds on
24 of 50 references.
References · 24
- 2015Deep Residual Learning for Image Recognitioncited by 52,096
- 2014Adam: A Method for Stochastic Optimizationcited by 37,240
- 2016Grad-CAM: Visual Explanations from Deep Networks via Gradient-based Localizationcited by 6,733
- 2017A Unified Approach to Interpreting Model Predictionscited by 6,555
- 2016"Why Should I Trust You?": Explaining the Predictions of Any Classifiercited by 5,070
- 2017Axiomatic Attribution for Deep Networkscited by 3,384
- 2017Learning Important Features Through Propagating Activation Differencescited by 1,458
- 2018Sanity Checks for Saliency Mapscited by 1,156
- 2019The many Shapley values for model explanationcited by 344
- 2020Explaining by Removing: A Unified Framework for Model Explanationcited by 218
- 2019Explaining individual predictions when features are dependent: More accurate approximations to Shapley valuescited by 208
- 2019Feature relevance quantification in explainable AI: A causal problemcited by 167
12 more
- 2020True to the Model or True to the Data?cited by 126
- 2019Asymmetric Shapley values: incorporating causal knowledge into model-agnostic explainabilitycited by 114
- 2018L-Shapley and C-Shapley: Efficient Model Interpretation for Structured Datacited by 100
- 2020Multi-scale Domain-adversarial Multiple-instance CNN for Cancer Subtype Classification with Unannotated Histopathological Imagescited by 81
- 2018Hierarchical interpretations for neural network predictionscited by 66
- 2020Generating Hierarchical Explanations on Text Classification via Feature Interaction Detectioncited by 57
- 2021Do Input Gradients Highlight Discriminative Features?cited by 52
- 2018Interpretable to Whom? A Role-based Model for Analyzing Interpretable Machine Learning Systemscited by 48
- 2019Explaining Models by Propagating Shapley Values of Local Componentscited by 29
- 2021On Baselines for Local Feature Attributionscited by 29
- 2019A Rate-Distortion Framework for Explaining Neural Network Decisionscited by 24
- 2020In-Distribution Interpretability for Challenging Modalitiescited by 5
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Citing papers per year: 2022: 4; 2023: 3; 2024: 2; 2025: 3; 2026: 3.
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- 2022Data Banzhaf: A Robust Data Valuation Framework for Machine Learningcited by 132
- 2022SHAP-XRT: The Shapley Value Meets Conditional Independence Testingcited by 6
- 2023Approximating Score-based Explanation Techniques Using Conformal Regressioncited by 4
- 2024I Bet You Did Not Mean That: Testing Semantic Importance via Bettingcited by 3
- 2024Sufficient and Necessary Explanations (and What Lies in Between)cited by 3
- 2025Prediction via Shapley Value Regressioncited by 3
- 2023Interpreting Vision and Language Generative Models with Semantic Visual Priorscited by 2
- 2023Fast Shapley Value Estimation: A Unified Approachcited by 2
- 2026ShapBPT: Image Feature Attributions Using Data-Aware Binary Partition Treescited by 2
- 2022MarkerMap: nonlinear marker selection for single-cell studiescited by 1
- 2022Weakly Supervised Learning Significantly Reduces the Number of Labels Required for Intracranial Hemorrhage Detection on Head CTcited by 1
- 2025Direct Preference Optimization for Adaptive Concept-based Explanationscited by 0
3 more
- 2026MorphoSHAP: Rethinking the Unit of Attribution in Explanation for Deep Visual Models22 Sep 2026
- 2026Owen-based Semantics and Hierarchy-Aware Explanation (O-Shap)19 Feb 2026
- 2026ShapBPT: Image Feature Attributions Using Data-Aware Binary Partition Trees4 Feb 2026
- 2025Desensitizing for Improving Corruption Robustness in Point Cloud Classification through Adversarial Training27 Sep 2025
- 2025Direct Preference Optimization for Adaptive Concept-based Explanations21 May 2025
- 2025Prediction via Shapley Value Regression7 May 2025
- 2024Sufficient and Necessary Explanations (and What Lies in Between)30 Sep 2024
- 2024I Bet You Did Not Mean That: Testing Semantic Importance via Betting29 May 2024
- 2023Fast Shapley Value Estimation: A Unified Approach2 Nov 2023
- 2023Approximating Score-based Explanation Techniques Using Conformal Regression23 Aug 2023
- 2023Interpreting Vision and Language Generative Models with Semantic Visual Priors28 Apr 2023
- 2022Weakly Supervised Learning Significantly Reduces the Number of Labels Required for Intracranial Hemorrhage Detection on Head CT29 Nov 2022
3 more
- 2022Data Banzhaf: A Robust Data Valuation Framework for Machine Learningcited by 132
- 2022SHAP-XRT: The Shapley Value Meets Conditional Independence Testingcited by 6
- 2023Approximating Score-based Explanation Techniques Using Conformal Regressioncited by 4
- 2024I Bet You Did Not Mean That: Testing Semantic Importance via Bettingcited by 3
- 2024Sufficient and Necessary Explanations (and What Lies in Between)cited by 3
- 2025Prediction via Shapley Value Regressioncited by 3
- 2023Interpreting Vision and Language Generative Models with Semantic Visual Priorscited by 2
- 2023Fast Shapley Value Estimation: A Unified Approachcited by 2
- 2026ShapBPT: Image Feature Attributions Using Data-Aware Binary Partition Treescited by 2
- 2022MarkerMap: nonlinear marker selection for single-cell studiescited by 1
- 2022Weakly Supervised Learning Significantly Reduces the Number of Labels Required for Intracranial Hemorrhage Detection on Head CTcited by 1
- 2025Desensitizing for Improving Corruption Robustness in Point Cloud Classification through Adversarial Trainingcited by 0
12 most cited of 14 All 14 (JSON)
- 2026MorphoSHAP: Rethinking the Unit of Attribution in Explanation for Deep Visual Models22 Sep 2026
- 2026Owen-based Semantics and Hierarchy-Aware Explanation (O-Shap)19 Feb 2026
- 2026ShapBPT: Image Feature Attributions Using Data-Aware Binary Partition Trees4 Feb 2026
- 2025Desensitizing for Improving Corruption Robustness in Point Cloud Classification through Adversarial Training27 Sep 2025
- 2025Prediction via Shapley Value Regression7 May 2025
- 2024Sufficient and Necessary Explanations (and What Lies in Between)30 Sep 2024
- 2024I Bet You Did Not Mean That: Testing Semantic Importance via Betting29 May 2024
- 2023Fast Shapley Value Estimation: A Unified Approach2 Nov 2023
- 2023Approximating Score-based Explanation Techniques Using Conformal Regression23 Aug 2023
- 2023Interpreting Vision and Language Generative Models with Semantic Visual Priors28 Apr 2023
- 2022Weakly Supervised Learning Significantly Reduces the Number of Labels Required for Intracranial Hemorrhage Detection on Head CT29 Nov 2022
- 2022MarkerMap: nonlinear marker selection for single-cell studies28 Jul 2022
12 newest of 14 All 14 (JSON)