NoiseGrad: Enhancing Explanations by Introducing Stochasticity to Model Weights
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Abstract (arXiv)
Many efforts have been made for revealing the decision-making process of black-box learning machines such as deep neural networks, resulting in useful local and global explanation methods. For local explanation, stochasticity is known to help: a simple method, called SmoothGrad, has improved the visual quality of gradient-based attribution by adding noise to the input space and averaging the explanations of the noisy inputs. In this paper, we extend this idea and propose NoiseGrad that enhances both local and global explanation methods. Specifically, NoiseGrad introduces stochasticity in the weight parameter space, such that the decision boundary is perturbed. NoiseGrad is expected to enhance the local explanation, similarly to SmoothGrad, due to the dual relationship between the input perturbation and the decision boundary perturbation. We evaluate NoiseGrad and its fusion with SmoothGrad -- FusionGrad -- qualitatively and quantitatively with several evaluation criteria, and show that our novel approach significantly outperforms the baseline methods. Both NoiseGrad and FusionGrad are method-agnostic and as handy as SmoothGrad using a simple heuristic for the choice of the hyperparameter setting without the need of finetuning.
Key facts. Cited by 28 papers in the map (data through 7 Oct 2026). Builds on 41 of its 86 references that are in the map. First posted on arXiv 18 Jun 2021.
Builds on
41 of 86 references.
References · 41
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29 more
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Citing papers per year: 2021: 1; 2022: 7; 2023: 3; 2024: 10; 2025: 4; 2026: 3.
28 papers.
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- 2022Quantus: An Explainable AI Toolkit for Responsible Evaluation of Neural Network Explanations and Beyondcited by 171
- 2023The Meta-Evaluation Problem in Explainable AI: Identifying Reliable Estimators with MetaQuantuscited by 37
- 2023Finding the right XAI method -- A Guide for the Evaluation and Ranking of Explainable AI Methods in Climate Sciencecited by 25
- 2022What Makes a Good Explanation?: A Harmonized View of Properties of Explanationscited by 21
- 2021Explaining Bayesian Neural Networkscited by 18
- 2022DORA: Exploring Outlier Representations in Deep Neural Networkscited by 14
- 2022SInGE: Sparsity via Integrated Gradients Estimation of Neuron Relevancecited by 9
- 2024Sanity Checks Revisited: An Exploration to Repair the Model Parameter Randomisation Testcited by 9
- 2024A Fresh Look at Sanity Checks for Saliency Mapscited by 8
- 2022SoK: Modeling Explainability in Security Analytics for Interpretability, Trustworthiness, and Usabilitycited by 7
- 2024Provably Better Explanations with Optimized Aggregation of Feature Attributionscited by 6
- 2022Visualizing the Diversity of Representations Learned by Bayesian Neural Networkscited by 4
16 more
- 2024From Flexibility to Manipulation: The Slippery Slope of XAI Evaluationcited by 4
- 2024GARNN: An Interpretable Graph Attentive Recurrent Neural Network for Predicting Blood Glucose Levels via Multivariate Time Seriescited by 2
- 2024PASA: Attack Agnostic Unsupervised Adversarial Detection using Prediction & Attribution Sensitivity Analysiscited by 2
- 2024AdaptGrad: Adaptive Sampling to Reduce Noisecited by 2
- 2025On the Complexity-Faithfulness Trade-off of Gradient-Based Explanationscited by 2
- 2025On Spectral Properties of Gradient-based Explanation Methodscited by 2
- 2022Multi-Label Classification of Thoracic Diseases using Dense Convolutional Network on Chest Radiographscited by 1
- 2023The Paradox of Noise: An Empirical Study of Noise-Infusion Mechanisms to Improve Generalization, Stability, and Privacy in Federated Learningcited by 1
- 2024CNN-based explanation ensembling for dataset, representation and explanations evaluationcited by 1
- 2024Beyond the Black Box: Do More Complex Deep Learning Models Provide Superior XAI Explanations?cited by 1
- 2024Axiomatization of Gradient Smoothing in Neural Networkscited by 0
- 2025Pulling Back the Curtain on Deep Networkscited by 0
- 2025Smaller is Better: Enhancing Transparency in Vehicle AI Systems via Pruningcited by 0
- 2026Training for Trustworthy Saliency Maps: Adversarial Training Meets Feature-Map Smoothingcited by 0
- 2026Explanation of Dynamic Physical Field Predictions using WassersteinGrad: Application to Autoregressive Weather Forecastingcited by 0
- 2026Scaling Vision Models Does Not Consistently Improve Localisation-Based Explanation Qualitycited by 0
- 2026Scaling Vision Models Does Not Consistently Improve Localisation-Based Explanation Quality11 May 2026
- 2026Explanation of Dynamic Physical Field Predictions using WassersteinGrad: Application to Autoregressive Weather Forecasting24 Apr 2026
- 2026Training for Trustworthy Saliency Maps: Adversarial Training Meets Feature-Map Smoothing7 Mar 2026
- 2025Smaller is Better: Enhancing Transparency in Vehicle AI Systems via Pruning24 Sep 2025
- 2025On Spectral Properties of Gradient-based Explanation Methods14 Aug 2025
- 2025On the Complexity-Faithfulness Trade-off of Gradient-Based Explanations14 Aug 2025
- 2025Pulling Back the Curtain on Deep Networks30 Jul 2025
- 2024From Flexibility to Manipulation: The Slippery Slope of XAI Evaluation7 Dec 2024
- 2024AdaptGrad: Adaptive Sampling to Reduce Noise10 Oct 2024
- 2024Axiomatization of Gradient Smoothing in Neural Networks29 Jun 2024
- 2024Provably Better Explanations with Optimized Aggregation of Feature Attributions7 Jun 2024
- 2024Beyond the Black Box: Do More Complex Deep Learning Models Provide Superior XAI Explanations?14 May 2024
16 more
- 2024A Fresh Look at Sanity Checks for Saliency Maps3 May 2024
- 2024CNN-based explanation ensembling for dataset, representation and explanations evaluation16 Apr 2024
- 2024PASA: Attack Agnostic Unsupervised Adversarial Detection using Prediction & Attribution Sensitivity Analysis12 Apr 2024
- 2024GARNN: An Interpretable Graph Attentive Recurrent Neural Network for Predicting Blood Glucose Levels via Multivariate Time Series26 Feb 2024
- 2024Sanity Checks Revisited: An Exploration to Repair the Model Parameter Randomisation Test12 Jan 2024
- 2023The Paradox of Noise: An Empirical Study of Noise-Infusion Mechanisms to Improve Generalization, Stability, and Privacy in Federated Learning9 Nov 2023
- 2023Finding the right XAI method -- A Guide for the Evaluation and Ranking of Explainable AI Methods in Climate Science1 Mar 2023
- 2023The Meta-Evaluation Problem in Explainable AI: Identifying Reliable Estimators with MetaQuantus14 Feb 2023
- 2022What Makes a Good Explanation?: A Harmonized View of Properties of Explanations10 Nov 2022
- 2022SoK: Modeling Explainability in Security Analytics for Interpretability, Trustworthiness, and Usability31 Oct 2022
- 2022SInGE: Sparsity via Integrated Gradients Estimation of Neuron Relevance8 Jul 2022
- 2022DORA: Exploring Outlier Representations in Deep Neural Networks9 Jun 2022
- 2022Quantus: An Explainable AI Toolkit for Responsible Evaluation of Neural Network Explanations and Beyond14 Feb 2022
- 2022Multi-Label Classification of Thoracic Diseases using Dense Convolutional Network on Chest Radiographs8 Feb 2022
- 2022Visualizing the Diversity of Representations Learned by Bayesian Neural Networks26 Jan 2022
- 2021Explaining Bayesian Neural Networks23 Aug 2021
- 2022Quantus: An Explainable AI Toolkit for Responsible Evaluation of Neural Network Explanations and Beyondcited by 171
- 2023The Meta-Evaluation Problem in Explainable AI: Identifying Reliable Estimators with MetaQuantuscited by 37
- 2023Finding the right XAI method -- A Guide for the Evaluation and Ranking of Explainable AI Methods in Climate Sciencecited by 25
- 2022What Makes a Good Explanation?: A Harmonized View of Properties of Explanationscited by 21
- 2021Explaining Bayesian Neural Networkscited by 18
- 2022DORA: Exploring Outlier Representations in Deep Neural Networkscited by 14
- 2022SInGE: Sparsity via Integrated Gradients Estimation of Neuron Relevancecited by 9
- 2024Sanity Checks Revisited: An Exploration to Repair the Model Parameter Randomisation Testcited by 9
- 2024A Fresh Look at Sanity Checks for Saliency Mapscited by 8
- 2022SoK: Modeling Explainability in Security Analytics for Interpretability, Trustworthiness, and Usabilitycited by 7
- 2024Provably Better Explanations with Optimized Aggregation of Feature Attributionscited by 6
- 2022Visualizing the Diversity of Representations Learned by Bayesian Neural Networkscited by 4
12 most cited of 28 All 28 (JSON)
- 2026Scaling Vision Models Does Not Consistently Improve Localisation-Based Explanation Quality11 May 2026
- 2026Explanation of Dynamic Physical Field Predictions using WassersteinGrad: Application to Autoregressive Weather Forecasting24 Apr 2026
- 2026Training for Trustworthy Saliency Maps: Adversarial Training Meets Feature-Map Smoothing7 Mar 2026
- 2025Smaller is Better: Enhancing Transparency in Vehicle AI Systems via Pruning24 Sep 2025
- 2025On Spectral Properties of Gradient-based Explanation Methods14 Aug 2025
- 2025On the Complexity-Faithfulness Trade-off of Gradient-Based Explanations14 Aug 2025
- 2025Pulling Back the Curtain on Deep Networks30 Jul 2025
- 2024From Flexibility to Manipulation: The Slippery Slope of XAI Evaluation7 Dec 2024
- 2024AdaptGrad: Adaptive Sampling to Reduce Noise10 Oct 2024
- 2024Axiomatization of Gradient Smoothing in Neural Networks29 Jun 2024
- 2024Provably Better Explanations with Optimized Aggregation of Feature Attributions7 Jun 2024
- 2024Beyond the Black Box: Do More Complex Deep Learning Models Provide Superior XAI Explanations?14 May 2024
12 newest of 28 All 28 (JSON)