Improving Molecular Graph Neural Network Explainability with Orthonormalization and Induced Sparsity
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Abstract (arXiv)
Rationalizing which parts of a molecule drive the predictions of a molecular graph convolutional neural network (GCNN) can be difficult. To help, we propose two simple regularization techniques to apply during the training of GCNNs: Batch Representation Orthonormalization (BRO) and Gini regularization. BRO, inspired by molecular orbital theory, encourages graph convolution operations to generate orthonormal node embeddings. Gini regularization is applied to the weights of the output layer and constrains the number of dimensions the model can use to make predictions. We show that Gini and BRO regularization can improve the accuracy of state-of-the-art GCNN attribution methods on artificial benchmark datasets. In a real-world setting, we demonstrate that medicinal chemists significantly prefer explanations extracted from regularized models. While we only study these regularizers in the context of GCNNs, both can be applied to other types of neural networks
Key facts. Cited by 20 papers in the map (data through 14 Oct 2026). Builds on 22 of its 47 references that are in the map. First posted on arXiv 11 May 2021.
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22 of 47 references.
References · 22
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Citing papers per year: 2022: 9; 2023: 4; 2024: 2; 2025: 3; 2026: 2.
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- 2022Interpretable and Generalizable Graph Learning via Stochastic Attention Mechanismcited by 171
- 2022Trustworthy Graph Neural Networks: Aspects, Methods and Trendscited by 89
- 2022Graph-based Molecular Representation Learningcited by 51
- 2023Encoding Time-Series Explanations through Self-Supervised Model Behavior Consistencycited by 42
- 2023A Survey on Explainability of Graph Neural Networkscited by 29
- 2022A Survey of Trustworthy Graph Learning: Reliability, Explainability, and Privacy Protectioncited by 20
- 2022Learning the Solution Operator of Boundary Value Problems using Graph Neural Networkscited by 17
- 2022MEGAN: Multi-Explanation Graph Attention Networkcited by 7
- 2022Explaining, Evaluating and Enhancing Neural Networks' Learned Representationscited by 6
- 2023Graph AI in Medicinecited by 3
- 2025Recent Developments in GNNs for Drug Discoverycited by 3
- 2022Physics-Informed Graph Learningcited by 2
8 more
- 2024Advancements in Molecular Property Prediction: A Survey of Single and Multimodal Approachescited by 2
- 2024Recent advances in interpretable machine learning using structure-based protein representationscited by 1
- 2025Fragment-Wise Interpretability in Graph Neural Networks via Molecule Decomposition and Contribution Analysiscited by 1
- 2022Towards Learning Self-Organized Criticality of Rydberg Atoms using Graph Neural Networkscited by 0
- 2023Streamlining models with explanations in the learning loopcited by 0
- 2025ARM-Explainer -- Explaining and improving graph neural network predictions for the maximum clique problem using node features and association rule miningcited by 0
- 2026Archetypal Graph Generative Models: Explainable and Identifiable Communities via Anchor-Dominant Convex Hullscited by 0
- 2026TAHB: A Comprehensive Benchmark for Text-Attributed Hypergraph Learningcited by 0
- 2026TAHB: A Comprehensive Benchmark for Text-Attributed Hypergraph Learning15 Aug 2026
- 2026Archetypal Graph Generative Models: Explainable and Identifiable Communities via Anchor-Dominant Convex Hulls24 Feb 2026
- 2025ARM-Explainer -- Explaining and improving graph neural network predictions for the maximum clique problem using node features and association rule mining28 Nov 2025
- 2025Fragment-Wise Interpretability in Graph Neural Networks via Molecule Decomposition and Contribution Analysis20 Aug 2025
- 2025Recent Developments in GNNs for Drug Discovery2 Jun 2025
- 2024Recent advances in interpretable machine learning using structure-based protein representations26 Sep 2024
- 2024Advancements in Molecular Property Prediction: A Survey of Single and Multimodal Approaches18 Aug 2024
- 2023Graph AI in Medicine20 Oct 2023
- 2023Encoding Time-Series Explanations through Self-Supervised Model Behavior Consistency3 Jun 2023
- 2023A Survey on Explainability of Graph Neural Networks2 Jun 2023
- 2023Streamlining models with explanations in the learning loop15 Feb 2023
- 2022MEGAN: Multi-Explanation Graph Attention Network23 Nov 2022
8 more
- 2022Graph-based Molecular Representation Learning8 Jul 2022
- 2022Towards Learning Self-Organized Criticality of Rydberg Atoms using Graph Neural Networks5 Jul 2022
- 2022Learning the Solution Operator of Boundary Value Problems using Graph Neural Networks28 Jun 2022
- 2022A Survey of Trustworthy Graph Learning: Reliability, Explainability, and Privacy Protection20 May 2022
- 2022Trustworthy Graph Neural Networks: Aspects, Methods and Trends16 May 2022
- 2022Physics-Informed Graph Learning22 Feb 2022
- 2022Explaining, Evaluating and Enhancing Neural Networks' Learned Representations18 Feb 2022
- 2022Interpretable and Generalizable Graph Learning via Stochastic Attention Mechanism31 Jan 2022
- 2022Interpretable and Generalizable Graph Learning via Stochastic Attention Mechanismcited by 171
- 2022Trustworthy Graph Neural Networks: Aspects, Methods and Trendscited by 89
- 2022Graph-based Molecular Representation Learningcited by 51
- 2023Encoding Time-Series Explanations through Self-Supervised Model Behavior Consistencycited by 42
- 2023A Survey on Explainability of Graph Neural Networkscited by 29
- 2022A Survey of Trustworthy Graph Learning: Reliability, Explainability, and Privacy Protectioncited by 20
- 2022Learning the Solution Operator of Boundary Value Problems using Graph Neural Networkscited by 17
- 2022MEGAN: Multi-Explanation Graph Attention Networkcited by 7
- 2022Explaining, Evaluating and Enhancing Neural Networks' Learned Representationscited by 6
- 2023Graph AI in Medicinecited by 3
- 2025Recent Developments in GNNs for Drug Discoverycited by 3
- 2022Physics-Informed Graph Learningcited by 2
12 most cited of 20 All 20 (JSON)
- 2026TAHB: A Comprehensive Benchmark for Text-Attributed Hypergraph Learning15 Aug 2026
- 2026Archetypal Graph Generative Models: Explainable and Identifiable Communities via Anchor-Dominant Convex Hulls24 Feb 2026
- 2025ARM-Explainer -- Explaining and improving graph neural network predictions for the maximum clique problem using node features and association rule mining28 Nov 2025
- 2025Fragment-Wise Interpretability in Graph Neural Networks via Molecule Decomposition and Contribution Analysis20 Aug 2025
- 2025Recent Developments in GNNs for Drug Discovery2 Jun 2025
- 2024Recent advances in interpretable machine learning using structure-based protein representations26 Sep 2024
- 2024Advancements in Molecular Property Prediction: A Survey of Single and Multimodal Approaches18 Aug 2024
- 2023Graph AI in Medicine20 Oct 2023
- 2023Encoding Time-Series Explanations through Self-Supervised Model Behavior Consistency3 Jun 2023
- 2023A Survey on Explainability of Graph Neural Networks2 Jun 2023
- 2023Streamlining models with explanations in the learning loop15 Feb 2023
- 2022MEGAN: Multi-Explanation Graph Attention Network23 Nov 2022
12 newest of 20 All 20 (JSON)