Explaining Convolutional Neural Networks using Softmax Gradient Layer-wise Relevance Propagation
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Abstract (arXiv)
Convolutional Neural Networks (CNN) have become state-of-the-art in the field of image classification. However, not everything is understood about their inner representations. This paper tackles the interpretability and explainability of the predictions of CNNs for multi-class classification problems. Specifically, we propose a novel visualization method of pixel-wise input attribution called Softmax-Gradient Layer-wise Relevance Propagation (SGLRP). The proposed model is a class discriminate extension to Deep Taylor Decomposition (DTD) using the gradient of softmax to back propagate the relevance of the output probability to the input image. Through qualitative and quantitative analysis, we demonstrate that SGLRP can successfully localize and attribute the regions on input images which contribute to a target object's classification. We show that the proposed method excels at discriminating the target objects class from the other possible objects in the images. We confirm that SGLRP performs better than existing Layer-wise Relevance Propagation (LRP) based methods and can help in the understanding of the decision process of CNNs.
Key facts. Cited by 29 papers in the map (data through 7 Oct 2026). First posted on arXiv 6 Aug 2019.
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Citing papers per year: 2021: 4; 2022: 3; 2023: 5; 2024: 9; 2025: 5; 2026: 3.
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- 2021Generic Attention-model Explainability for Interpreting Bi-Modal and Encoder-Decoder Transformerscited by 316
- 2021Interpretable Deep Learning: Interpretation, Interpretability, Trustworthiness, and Beyondcited by 116
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17 more
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- 2023PAMI: partition input and aggregate outputs for model interpretationcited by 2
- 2024Neural network interpretability with layer-wise relevance propagation: novel techniques for neuron selection and visualizationcited by 2
- 2023ECGNet: A generative adversarial network (GAN) approach to the synthesis of 12-lead ECG signals from single lead inputscited by 1
- 2023Towards Better Visualizing the Decision Basis of Networks via Unfold and Conquer Attribution Guidancecited by 1
- 2024Sparse Explanations of Neural Networks Using Pruned Layer-Wise Relevance Propagationcited by 1
- 2024FovEx: Human-Inspired Explanations for Vision Transformers and Convolutional Neural Networkscited by 1
- 2021Layer-Wise Interpretation of Deep Neural Networks Using Identity Initializationcited by 0
- 2021Weakly Supervised Recovery of Semantic Attributescited by 0
- 2022Interpretable Diabetic Retinopathy Diagnosis based on Biomarker Activation Mapcited by 0
- 2024Enhancing Explainable AI: A Hybrid Approach Combining GradCAM and LRP for CNN Interpretabilitycited by 0
- 2025Matching-Based Few-Shot Semantic Segmentation Models Are Interpretable by Designcited by 0
- 2025Always Keep Your Promises: A Model-Agnostic Attribution Algorithm for Neural Networkscited by 0
- 2026The Neglected Baseline in Model Interpretationcited by 0
- 2026XtrAIn: Training-Guided Occlusion for Feature Attributioncited by 0
- 2026XtrAIn: Training-Guided Occlusion for Feature Attribution9 Jun 2026
- 2026The Neglected Baseline in Model Interpretation21 May 2026
- 2026Don't Ignore the Tail: Decoupling top-K Probabilities for Efficient Language Model Distillation24 Feb 2026
- 2025Always Keep Your Promises: A Model-Agnostic Attribution Algorithm for Neural Networks7 Dec 2025
- 2025Matching-Based Few-Shot Semantic Segmentation Models Are Interpretable by Design22 Nov 2025
- 2025Point-to-Region Loss for Semi-Supervised Point-Based Crowd Counting28 May 2025
- 2025Sparse Logit Sampling: Accelerating Knowledge Distillation in LLMs21 Mar 2025
- 2025Grad-ECLIP: Gradient-based Visual and Textual Explanations for CLIP26 Feb 2025
- 2024Neural network interpretability with layer-wise relevance propagation: novel techniques for neuron selection and visualization7 Dec 2024
- 2024LibraGrad: Balancing Gradient Flow for Universally Better Vision Transformer Attributions24 Nov 2024
- 2024FovEx: Human-Inspired Explanations for Vision Transformers and Convolutional Neural Networks4 Aug 2024
- 2024Enhancing Explainable AI: A Hybrid Approach Combining GradCAM and LRP for CNN Interpretability20 May 2024
17 more
- 2024Sparse Explanations of Neural Networks Using Pruned Layer-Wise Relevance Propagation22 Apr 2024
- 2024Token Transformation Matters: Towards Faithful Post-hoc Explanation for Vision Transformer21 Mar 2024
- 2024Gradient based Feature Attribution in Explainable AI: A Technical Review15 Mar 2024
- 2024TaylorShift: Shifting the Complexity of Self-Attention from Squared to Linear (and Back) using Taylor-Softmax5 Mar 2024
- 2024GOAt: Explaining Graph Neural Networks via Graph Output Attribution26 Jan 2024
- 2023Towards Better Visualizing the Decision Basis of Networks via Unfold and Conquer Attribution Guidance21 Dec 2023
- 2023ECGNet: A generative adversarial network (GAN) approach to the synthesis of 12-lead ECG signals from single lead inputs23 Sep 2023
- 2023Towards Evaluating Explanations of Vision Transformers for Medical Imaging12 Apr 2023
- 2023Empowering CAM-Based Methods with Capability to Generate Fine-Grained and High-Faithfulness Explanations16 Mar 2023
- 2023PAMI: partition input and aggregate outputs for model interpretation7 Feb 2023
- 2022Explainable AI for Bioinformatics: Methods, Tools, and Applications25 Dec 2022
- 2022Interpretable Diabetic Retinopathy Diagnosis based on Biomarker Activation Map13 Dec 2022
- 2022Transferable Adversarial Attack based on Integrated Gradients26 May 2022
- 2021Generic Attention-model Explainability for Interpreting Bi-Modal and Encoder-Decoder Transformers29 Mar 2021
- 2021Weakly Supervised Recovery of Semantic Attributes22 Mar 2021
- 2021Interpretable Deep Learning: Interpretation, Interpretability, Trustworthiness, and Beyond19 Mar 2021
- 2021Layer-Wise Interpretation of Deep Neural Networks Using Identity Initialization26 Feb 2021
- 2021Generic Attention-model Explainability for Interpreting Bi-Modal and Encoder-Decoder Transformerscited by 316
- 2021Interpretable Deep Learning: Interpretation, Interpretability, Trustworthiness, and Beyondcited by 116
- 2022Transferable Adversarial Attack based on Integrated Gradientscited by 35
- 2024Gradient based Feature Attribution in Explainable AI: A Technical Reviewcited by 34
- 2023Towards Evaluating Explanations of Vision Transformers for Medical Imagingcited by 22
- 2024Token Transformation Matters: Towards Faithful Post-hoc Explanation for Vision Transformercited by 19
- 2025Sparse Logit Sampling: Accelerating Knowledge Distillation in LLMscited by 14
- 2022Explainable AI for Bioinformatics: Methods, Tools, and Applicationscited by 11
- 2024GOAt: Explaining Graph Neural Networks via Graph Output Attributioncited by 10
- 2026Don't Ignore the Tail: Decoupling top-K Probabilities for Efficient Language Model Distillationcited by 7
- 2024TaylorShift: Shifting the Complexity of Self-Attention from Squared to Linear (and Back) using Taylor-Softmaxcited by 6
- 2025Point-to-Region Loss for Semi-Supervised Point-Based Crowd Countingcited by 6
12 most cited of 28 All 28 (JSON)
- 2026XtrAIn: Training-Guided Occlusion for Feature Attribution9 Jun 2026
- 2026The Neglected Baseline in Model Interpretation21 May 2026
- 2026Don't Ignore the Tail: Decoupling top-K Probabilities for Efficient Language Model Distillation24 Feb 2026
- 2025Always Keep Your Promises: A Model-Agnostic Attribution Algorithm for Neural Networks7 Dec 2025
- 2025Matching-Based Few-Shot Semantic Segmentation Models Are Interpretable by Design22 Nov 2025
- 2025Point-to-Region Loss for Semi-Supervised Point-Based Crowd Counting28 May 2025
- 2025Sparse Logit Sampling: Accelerating Knowledge Distillation in LLMs21 Mar 2025
- 2024Neural network interpretability with layer-wise relevance propagation: novel techniques for neuron selection and visualization7 Dec 2024
- 2024LibraGrad: Balancing Gradient Flow for Universally Better Vision Transformer Attributions24 Nov 2024
- 2024FovEx: Human-Inspired Explanations for Vision Transformers and Convolutional Neural Networks4 Aug 2024
- 2024Enhancing Explainable AI: A Hybrid Approach Combining GradCAM and LRP for CNN Interpretability20 May 2024
- 2024Sparse Explanations of Neural Networks Using Pruned Layer-Wise Relevance Propagation22 Apr 2024
12 newest of 28 All 28 (JSON)