How Important Is a Neuron?
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Abstract (arXiv)
The problem of attributing a deep network's prediction to its input/base features is well-studied. We introduce the notion of conductance to extend the notion of attribution to the understanding the importance of hidden units. Informally, the conductance of a hidden unit of a deep network is the flow of attribution via this hidden unit. We use conductance to understand the importance of a hidden unit to the prediction for a specific input, or over a set of inputs. We evaluate the effectiveness of conductance in multiple ways, including theoretical properties, ablation studies, and a feature selection task. The empirical evaluations are done using the Inception network over ImageNet data, and a sentiment analysis network over reviews. In both cases, we demonstrate the effectiveness of conductance in identifying interesting insights about the internal workings of these networks.
Key facts. Cited by 73 papers in the map (data through 7 Oct 2026). First posted on arXiv 30 May 2018.
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Citing papers per year: 2021: 16; 2022: 16; 2023: 9; 2024: 13; 2025: 8; 2026: 11.
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- 2023Finding Neurons in a Haystack: Case Studies with Sparse Probingcited by 328
- 2021Explaining in Style: Training a GAN to explain a classifier in StyleSpacecited by 122
- 2022Improving Adversarial Transferability via Neuron Attribution-Based Attackscited by 92
- 2024A Primer on the Inner Workings of Transformer-based Language Modelscited by 83
- 2021Neuron-level Interpretation of Deep NLP Models: A Surveycited by 81
- 2022A Rigorous Study of Integrated Gradients Method and Extensions to Internal Neuron Attributionscited by 64
- 2021Software for Dataset-wide XAI: From Local Explanations to Global Insights with Zennit, CoRelAy, and ViRelAycited by 53
- 2024Sharing Matters: Analysing Neurons Across Languages and Tasks in LLMscited by 33
- 2021Finding Discriminative Filters for Specific Degradations in Blind Super-Resolutioncited by 26
- 2022FedClassAvg: Local Representation Learning for Personalized Federated Learning on Heterogeneous Neural Networkscited by 23
- 2021Robust Models Are More Interpretable Because Attributions Look Normalcited by 21
- 2022Discovering Salient Neurons in Deep NLP Modelscited by 21
38 more
- 2024Optimal ablation for interpretabilitycited by 21
- 2024Restore Anything with Masks: Leveraging Mask Image Modeling for Blind All-in-One Image Restorationcited by 20
- 2024Decomposing and Editing Predictions by Modeling Model Computationcited by 19
- 2026Language Model Circuits Are Sparse in the Neuron Basiscited by 18
- 2021Truly Sparse Neural Networks at Scalecited by 15
- 2021MIMIC-IF: Interpretability and Fairness Evaluation of Deep Learning Models on MIMIC-IV Datasetcited by 15
- 2021Cartoon Explanations of Image Classifierscited by 15
- 2022The Manifold Hypothesis for Gradient-Based Explanationscited by 15
- 2022Debiasing Deep Chest X-Ray Classifiers using Intra- and Post-processing Methodscited by 15
- 2021A Unified Paths Perspective for Pruning at Initializationcited by 14
- 2022RoCourseNet: Distributionally Robust Training of a Prediction Aware Recourse Modelcited by 11
- 2023NeuroX Library for Neuron Analysis of Deep NLP Modelscited by 11
- 2022Continuous Human Action Recognition for Human-Machine Interaction: A Reviewcited by 10
- 2023Evaluating Neuron Interpretation Methods of NLP Modelscited by 8
- 2025Discovering Influential Neuron Path in Vision Transformerscited by 7
- 2022Deeply Explain CNN via Hierarchical Decompositioncited by 6
- 2022Adapting to Non-Centered Languages for Zero-shot Multilingual Translationcited by 6
- 2023Boosting Adversarial Transferability via Fusing Logits of Top-1 Decomposed Featurecited by 6
- 2024SRViT: Vision Transformers for Estimating Radar Reflectivity from Satellite Observations at Scalecited by 6
- 2022Visual Explanations from Deep Networks via Riemann-Stieltjes Integrated Gradient-based Localizationcited by 5
- 2022On the Robustness of Explanations of Deep Neural Network Models: A Surveycited by 5
- 2023On the special role of class-selective neurons in early trainingcited by 5
- 2023Four Axiomatic Characterizations of the Integrated Gradients Attribution Methodcited by 5
- 2021Fine-grained Interpretation and Causation Analysis in Deep NLP Modelscited by 4
- 2021TorchEsegeta: Framework for Interpretability and Explainability of Image-based Deep Learning Modelscited by 4
- 2021Neuron with Steady Response Leads to Better Generalizationcited by 4
- 2023Neuron Patching: Semantic-based Neuron-level Language Model Repair for Code Generationcited by 4
- 2024What Sketch Explainability Really Means for Downstream Taskscited by 4
- 2025Explanations of Large Language Models Explain Language Representations in the Braincited by 4
- 2022Interpretable Low-Resource Legal Decision Makingcited by 3
- 2024PrisonBreak: Jailbreaking Large Language Models with at Most Twenty-Five Targeted Bit-flipscited by 3
- 2021Robust and Interpretable Temporal Convolution Network for Event Detection in Lung Sound Recordingscited by 2
- 2025DFAMS: Dynamic-flow guided Federated Alignment based Multi-prototype Searchcited by 2
- 2026Normalized Relevance Measure as a Unifying Framework to Explain Neural Network Latent Structurescited by 2
- 2026Demystifying Variance in Circuit Discovery of LLMscited by 2
- 2021Resilience of Bayesian Layer-Wise Explanations under Adversarial Attackscited by 1
- 2022Sparsity-Inducing Categorical Prior Improves Robustness of the Information Bottleneckcited by 1
- 2022Quantifying Human Bias and Knowledge to guide ML models during Trainingcited by 1
50 most cited of 73 All 73 (JSON)
- 2026From Interpretability Methods to Interpretable Models4 Sep 2026
- 2026Local Additive Feature Attribution: A Mathematical Taxonomy and Reporting Checklist15 Jul 2026
- 2026IG-Lens: Exact Additive Probability Attribution Across Transformer Layers via Telescoping Integrated Gradients29 Jun 2026
- 2026Demystifying Variance in Circuit Discovery of LLMs15 Jun 2026
- 2026Normalized Relevance Measure as a Unifying Framework to Explain Neural Network Latent Structures30 May 2026
- 2026Rare Events, Real Signals: Functional Ensembles as Units of Computation in Deep Spiking Networks21 May 2026
- 2026Attribution-Based Neuron Utility for Plasticity Restoration in Deep Networks7 May 2026
- 2026Hessian-Enhanced Token Attribution (HETA): Interpreting Autoregressive LLMs14 Apr 2026
- 2026Model Specific Task Similarity for Vision Language Model Selection via Layer Conductance1 Feb 2026
- 2026Language Model Circuits Are Sparse in the Neuron Basis30 Jan 2026
- 2026Layer-wise Positional Bias in Short-Context Language Modeling7 Jan 2026
- 2025C-SWAP: Explainability-Aware Structured Pruning for Efficient Neural Networks Compression21 Oct 2025
38 more
- 2025RAM++: Robust Representation Learning via Adaptive Mask for All-in-One Image Restoration15 Sep 2025
- 2025DFAMS: Dynamic-flow guided Federated Alignment based Multi-prototype Search28 Aug 2025
- 2025Model Fusion via Retrofitting18 Jun 2025
- 2025Explainable AI-Guided Efficient Approximate DNN Generation for Multi-Pod Systolic Arrays20 Mar 2025
- 2025Algebraic Adversarial Attacks on Explainability Models16 Mar 2025
- 2025Discovering Influential Neuron Path in Vision Transformers12 Mar 2025
- 2025Explanations of Large Language Models Explain Language Representations in the Brain20 Feb 2025
- 2024PrisonBreak: Jailbreaking Large Language Models with at Most Twenty-Five Targeted Bit-flips10 Dec 2024
- 2024Restore Anything with Masks: Leveraging Mask Image Modeling for Blind All-in-One Image Restoration28 Sep 2024
- 2024Linking in Style: Understanding learned features in deep learning models25 Sep 2024
- 2024Optimal ablation for interpretability16 Sep 2024
- 2024Y-Drop: A Conductance based Dropout for fully connected layers11 Sep 2024
- 2024Enhancing Neural Network Interpretability Through Conductance-Based Information Plane Analysis26 Aug 2024
- 2024Which Neurons Matter in IR? Applying Integrated Gradients-based Methods to Understand Cross-Encoders27 Jun 2024
- 2024SRViT: Vision Transformers for Estimating Radar Reflectivity from Satellite Observations at Scale20 Jun 2024
- 2024Sharing Matters: Analysing Neurons Across Languages and Tasks in LLMs13 Jun 2024
- 2024Federated Learning with Multi-resolution Model Broadcast30 May 2024
- 2024A Primer on the Inner Workings of Transformer-based Language Models30 Apr 2024
- 2024Decomposing and Editing Predictions by Modeling Model Computation17 Apr 2024
- 2024What Sketch Explainability Really Means for Downstream Tasks14 Mar 2024
- 2023Neuron Patching: Semantic-based Neuron-level Language Model Repair for Code Generation8 Dec 2023
- 2023ONNXExplainer: an ONNX Based Generic Framework to Explain Neural Networks Using Shapley Values29 Sep 2023
- 2023Four Axiomatic Characterizations of the Integrated Gradients Attribution Method23 Jun 2023
- 2023On the special role of class-selective neurons in early training27 May 2023
- 2023NeuroX Library for Neuron Analysis of Deep NLP Models26 May 2023
- 2023Finding Neurons in a Haystack: Case Studies with Sparse Probing2 May 2023
- 2023Boosting Adversarial Transferability via Fusing Logits of Top-1 Decomposed Feature2 May 2023
- 2023ISimDL: Importance Sampling-Driven Acceleration of Fault Injection Simulations for Evaluating the Robustness of Deep Learning14 Mar 2023
- 2023Evaluating Neuron Interpretation Methods of NLP Models30 Jan 2023
- 2022Quantifying Human Bias and Knowledge to guide ML models during Training19 Nov 2022
- 2022On the Robustness of Explanations of Deep Neural Network Models: A Survey9 Nov 2022
- 2022FedClassAvg: Local Representation Learning for Personalized Federated Learning on Heterogeneous Neural Networks25 Oct 2022
- 2022Adapting to Non-Centered Languages for Zero-shot Multilingual Translation9 Sep 2022
- 2022Debiasing Deep Chest X-Ray Classifiers using Intra- and Post-processing Methods26 Jul 2022
- 2022Discovering Salient Neurons in Deep NLP Models27 Jun 2022
- 2022The Manifold Hypothesis for Gradient-Based Explanations15 Jun 2022
- 2022RoCourseNet: Distributionally Robust Training of a Prediction Aware Recourse Model1 Jun 2022
- 2022Visual Explanations from Deep Networks via Riemann-Stieltjes Integrated Gradient-based Localization22 May 2022
50 newest of 73 All 73 (JSON)
- 2023Finding Neurons in a Haystack: Case Studies with Sparse Probingcited by 328
- 2021Explaining in Style: Training a GAN to explain a classifier in StyleSpacecited by 122
- 2022Improving Adversarial Transferability via Neuron Attribution-Based Attackscited by 92
- 2024A Primer on the Inner Workings of Transformer-based Language Modelscited by 83
- 2021Neuron-level Interpretation of Deep NLP Models: A Surveycited by 81
- 2022A Rigorous Study of Integrated Gradients Method and Extensions to Internal Neuron Attributionscited by 64
- 2021Software for Dataset-wide XAI: From Local Explanations to Global Insights with Zennit, CoRelAy, and ViRelAycited by 53
- 2024Sharing Matters: Analysing Neurons Across Languages and Tasks in LLMscited by 33
- 2021Finding Discriminative Filters for Specific Degradations in Blind Super-Resolutioncited by 26
- 2022FedClassAvg: Local Representation Learning for Personalized Federated Learning on Heterogeneous Neural Networkscited by 23
- 2021Robust Models Are More Interpretable Because Attributions Look Normalcited by 21
- 2022Discovering Salient Neurons in Deep NLP Modelscited by 21
12 most cited of 70 All 70 (JSON)
- 2026From Interpretability Methods to Interpretable Models4 Sep 2026
- 2026Local Additive Feature Attribution: A Mathematical Taxonomy and Reporting Checklist15 Jul 2026
- 2026IG-Lens: Exact Additive Probability Attribution Across Transformer Layers via Telescoping Integrated Gradients29 Jun 2026
- 2026Demystifying Variance in Circuit Discovery of LLMs15 Jun 2026
- 2026Normalized Relevance Measure as a Unifying Framework to Explain Neural Network Latent Structures30 May 2026
- 2026Rare Events, Real Signals: Functional Ensembles as Units of Computation in Deep Spiking Networks21 May 2026
- 2026Attribution-Based Neuron Utility for Plasticity Restoration in Deep Networks7 May 2026
- 2026Hessian-Enhanced Token Attribution (HETA): Interpreting Autoregressive LLMs14 Apr 2026
- 2026Language Model Circuits Are Sparse in the Neuron Basis30 Jan 2026
- 2026Layer-wise Positional Bias in Short-Context Language Modeling7 Jan 2026
- 2025C-SWAP: Explainability-Aware Structured Pruning for Efficient Neural Networks Compression21 Oct 2025
- 2025RAM++: Robust Representation Learning via Adaptive Mask for All-in-One Image Restoration15 Sep 2025
12 newest of 70 All 70 (JSON)