Explanations can be manipulated and geometry is to blame
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Abstract (arXiv)
Explanation methods aim to make neural networks more trustworthy and interpretable. In this paper, we demonstrate a property of explanation methods which is disconcerting for both of these purposes. Namely, we show that explanations can be manipulated arbitrarily by applying visually hardly perceptible perturbations to the input that keep the network's output approximately constant. We establish theoretically that this phenomenon can be related to certain geometrical properties of neural networks. This allows us to derive an upper bound on the susceptibility of explanations to manipulations. Based on this result, we propose effective mechanisms to enhance the robustness of explanations.
Key facts. Cited by 215 papers in the map (data through 7 Oct 2026). First posted on arXiv 19 Jun 2019.
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Citing papers per year: 2021: 39; 2022: 56; 2023: 36; 2024: 40; 2025: 25; 2026: 19.
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- 2022From Anecdotal Evidence to Quantitative Evaluation Methods: A Systematic Review on Evaluating Explainable AIcited by 299
- 2022Extremely Simple Activation Shaping for Out-of-Distribution Detectioncited by 212
- 2022The Disagreement Problem in Explainable Machine Learning: A Practitioner's Perspectivecited by 156
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- 2022Toward Transparent AI: A Survey on Interpreting the Inner Structures of Deep Neural Networkscited by 126
- 2023Faithfulness Tests for Natural Language Explanationscited by 107
- 2021Guided Integrated Gradients: An Adaptive Path Method for Removing Noisecited by 102
- 2022Which Explanation Should I Choose? A Function Approximation Perspective to Characterizing Post Hoc Explanationscited by 77
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- 2021Synthetic Benchmarks for Scientific Research in Explainable Machine Learningcited by 59
- 2022Post hoc Explanations may be Ineffective for Detecting Unknown Spurious Correlationcited by 59
- 2021Do Input Gradients Highlight Discriminative Features?cited by 52
38 more
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- 2021Robust Explainability: A Tutorial on Gradient-Based Attribution Methods for Deep Neural Networkscited by 48
- 2022Beyond Explaining: Opportunities and Challenges of XAI-Based Model Improvementcited by 48
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- 2022Fairness via Explanation Quality: Evaluating Disparities in the Quality of Post hoc Explanationscited by 40
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- 2021Consistent Counterfactuals for Deep Modelscited by 37
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- 2021Perturbing Inputs for Fragile Interpretations in Deep Natural Language Processingcited by 30
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- 2021Explaining Bayesian Neural Networkscited by 18
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50 most cited of 215 All 215 (JSON)
- 2026Faithful Faithfulness Evaluations: Challenges & Pitfalls Learned from a Breast MRI Case Study22 Sep 2026
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- 2026Measuring Explainer Stability via Attribution Separability3 Aug 2026
- 2026qZACH-ViT: Quantization-Aware Intrinsic Explanations with Recursive Attribution-Stabilized Optimization16 Jul 2026
- 2026Local Additive Feature Attribution: A Mathematical Taxonomy and Reporting Checklist15 Jul 2026
- 2026We Need Explanation Cards to Connect Explanation Algorithms to the Real World15 Jun 2026
- 2026The Perceived Fragility of Explanations in Audio Models: Manipulation of Attribution with Unchanged Predictions12 Jun 2026
- 2026Position: Don't Just "Fix it in Post": A Science of AI Must Study Training Dynamics3 Jun 2026
- 2026Improving Adversarial Robustness of Attribution via Implicit Regularization28 May 2026
- 2026Right Predictions, Misleading Explanations: On the Vulnerability of Vision-Language Model Explanations15 May 2026
- 2026FRInGe: Distribution-Space Integrated Gradients with Fisher--Rao Geometry7 May 2026
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- 2025Activation-Deactivation: A General Framework for Robust Post-hoc Explainable AI1 Oct 2025
- 2025Attribution Explanations for Deep Neural Networks: A Theoretical Perspective11 Aug 2025
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- 2025Robust Answers, Fragile Logic: Probing the Decoupling Hypothesis in LLM Reasoning23 May 2025
- 2025Fixed Point Explainability18 May 2025
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- 2025DiCE-Extended: A Robust Approach to Counterfactual Explanations in Machine Learning26 Apr 2025
- 2025Uncovering the Structure of Explanation Quality with Spectral Analysis11 Apr 2025
- 2025Interpretable Non-linear Survival Analysis with Evolutionary Symbolic Regression8 Apr 2025
- 2025Fast Fourier Correlation is a Highly Efficient and Accurate Feature Attribution Algorithm from the Perspective of Control Theory and Game Theory2 Apr 2025
- 2025Algebraic Adversarial Attacks on Explainability Models16 Mar 2025
- 2025Birds look like cars: Adversarial analysis of intrinsically interpretable deep learning11 Mar 2025
- 2025Using the Path of Least Resistance to Explain Deep Networks17 Feb 2025
- 2024Impact of Adversarial Attacks on Deep Learning Model Explainability15 Dec 2024
- 2024Axiomatic Explainer Globalness via Optimal Transport2 Nov 2024
- 2024Unlearning-based Neural Interpretations10 Oct 2024
- 2024AdaptGrad: Adaptive Sampling to Reduce Noise10 Oct 2024
- 2024Faithful Interpretation for Graph Neural Networks9 Oct 2024
- 2024Explainable AI needs formalization22 Sep 2024
50 newest of 215 All 215 (JSON)
- 2021Fooling Partial Dependence via Data Poisoningcited by 16
- 2026Feature salience - not task-informativeness - drives machine learning model explanationscited by 2
- 2024Unlearning-based Neural Interpretationscited by 0
- 2026Feature salience - not task-informativeness - drives machine learning model explanations9 Feb 2026
- 2024Unlearning-based Neural Interpretations10 Oct 2024
- 2021Fooling Partial Dependence via Data Poisoning26 May 2021
- 2022From Anecdotal Evidence to Quantitative Evaluation Methods: A Systematic Review on Evaluating Explainable AIcited by 299
- 2022Extremely Simple Activation Shaping for Out-of-Distribution Detectioncited by 212
- 2022The Disagreement Problem in Explainable Machine Learning: A Practitioner's Perspectivecited by 156
- 2021Anti-Adversarially Manipulated Attributions for Weakly and Semi-Supervised Semantic Segmentationcited by 134
- 2022Toward Transparent AI: A Survey on Interpreting the Inner Structures of Deep Neural Networkscited by 126
- 2023Faithfulness Tests for Natural Language Explanationscited by 107
- 2021Guided Integrated Gradients: An Adaptive Path Method for Removing Noisecited by 102
- 2022Which Explanation Should I Choose? A Function Approximation Perspective to Characterizing Post Hoc Explanationscited by 77
- 2022GlanceNets: Interpretabile, Leak-proof Concept-based Modelscited by 73
- 2021Synthetic Benchmarks for Scientific Research in Explainable Machine Learningcited by 59
- 2022Post hoc Explanations may be Ineffective for Detecting Unknown Spurious Correlationcited by 59
- 2021Do Input Gradients Highlight Discriminative Features?cited by 52
12 most cited of 209 All 209 (JSON)
- 2026Faithful Faithfulness Evaluations: Challenges & Pitfalls Learned from a Breast MRI Case Study22 Sep 2026
- 2026From Interpretability Methods to Interpretable Models4 Sep 2026
- 2026Decomposition of Evidence, Contradiction, and Fragility in Perturbation Responses13 Aug 2026
- 2026Measuring Explainer Stability via Attribution Separability3 Aug 2026
- 2026qZACH-ViT: Quantization-Aware Intrinsic Explanations with Recursive Attribution-Stabilized Optimization16 Jul 2026
- 2026Local Additive Feature Attribution: A Mathematical Taxonomy and Reporting Checklist15 Jul 2026
- 2026We Need Explanation Cards to Connect Explanation Algorithms to the Real World15 Jun 2026
- 2026The Perceived Fragility of Explanations in Audio Models: Manipulation of Attribution with Unchanged Predictions12 Jun 2026
- 2026Position: Don't Just "Fix it in Post": A Science of AI Must Study Training Dynamics3 Jun 2026
- 2026Improving Adversarial Robustness of Attribution via Implicit Regularization28 May 2026
- 2026FRInGe: Distribution-Space Integrated Gradients with Fisher--Rao Geometry7 May 2026
- 2026From Local to Global to Mechanistic: An iERF-Centered Unified Framework for Interpreting Vision Models1 May 2026
12 newest of 209 All 209 (JSON)