Building Reliable Explanations of Unreliable Neural Networks: Locally Smoothing Perspective of Model Interpretation
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Abstract (arXiv)
We present a novel method for reliably explaining the predictions of neural networks. We consider an explanation reliable if it identifies input features relevant to the model output by considering the input and the neighboring data points. Our method is built on top of the assumption of smooth landscape in a loss function of the model prediction: locally consistent loss and gradient profile. A theoretical analysis established in this study suggests that those locally smooth model explanations are learned using a batch of noisy copies of the input with the L1 regularization for a saliency map. Extensive experiments support the analysis results, revealing that the proposed saliency maps retrieve the original classes of adversarial examples crafted against both naturally and adversarially trained models, significantly outperforming previous methods. We further demonstrated that such good performance results from the learning capability of this method to identify input features that are truly relevant to the model output of the input and the neighboring data points, fulfilling the requirements of a reliable explanation.
Key facts. Cited by 12 papers in the map (data through 7 Oct 2026). Builds on 33 of its 41 references that are in the map. First posted on arXiv 26 Mar 2021.
Builds on
33 of 41 references.
References · 33
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21 more
- 2014Striving for Simplicity: The All Convolutional Netcited by 983
- 2018Robustness May Be at Odds with Accuracycited by 873
- 2018RISE: Randomized Input Sampling for Explanation of Black-box Modelscited by 825
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Built on by
Citing papers per year: 2021: 1; 2022: 3; 2023: 3; 2024: 3; 2025: 0; 2026: 2.
12 papers.
- 2021Robust Explainability: A Tutorial on Gradient-Based Attribution Methods for Deep Neural Networkscited by 48
- 2022What Makes a Good Explanation?: A Harmonized View of Properties of Explanationscited by 21
- 2022The Manifold Hypothesis for Gradient-Based Explanationscited by 15
- 2023MoreauGrad: Sparse and Robust Interpretation of Neural Networks via Moreau Envelopecited by 5
- 2023PAMI: partition input and aggregate outputs for model interpretationcited by 2
- 2022Illuminating Salient Contributions in Neuron Activation with Attribution Equilibriumcited by 1
- 2023On Model Explanations with Transferable Neural Pathwayscited by 1
- 2024Explainable Transformer Prototypes for Medical Diagnosescited by 1
- 2024HOLMES: HOLonym-MEronym based Semantic inspection for Convolutional Image Classifierscited by 0
- 2024Robust Explainable Recommendationcited by 0
- 2026Training for Trustworthy Saliency Maps: Adversarial Training Meets Feature-Map Smoothingcited by 0
- 2026Improving Adversarial Robustness of Attribution via Implicit Regularizationcited by 0
- 2026Improving Adversarial Robustness of Attribution via Implicit Regularization28 May 2026
- 2026Training for Trustworthy Saliency Maps: Adversarial Training Meets Feature-Map Smoothing7 Mar 2026
- 2024Robust Explainable Recommendation3 May 2024
- 2024HOLMES: HOLonym-MEronym based Semantic inspection for Convolutional Image Classifiers13 Mar 2024
- 2024Explainable Transformer Prototypes for Medical Diagnoses11 Mar 2024
- 2023On Model Explanations with Transferable Neural Pathways18 Sep 2023
- 2023PAMI: partition input and aggregate outputs for model interpretation7 Feb 2023
- 2023MoreauGrad: Sparse and Robust Interpretation of Neural Networks via Moreau Envelope8 Jan 2023
- 2022What Makes a Good Explanation?: A Harmonized View of Properties of Explanations10 Nov 2022
- 2022The Manifold Hypothesis for Gradient-Based Explanations15 Jun 2022
- 2022Illuminating Salient Contributions in Neuron Activation with Attribution Equilibrium23 May 2022
- 2021Robust Explainability: A Tutorial on Gradient-Based Attribution Methods for Deep Neural Networks23 Jul 2021