mlsanityData to 14 Oct 2026

Kolmogorov-Arnold Graph Neural Networks

arXiv 2406.18354 ↗First posted 26 Jun 2024cs.LG cs.AIcited by 32

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Abstract (arXiv)

Graph neural networks (GNNs) excel in learning from network-like data but often lack interpretability, making their application challenging in domains requiring transparent decision-making. We propose the Graph Kolmogorov-Arnold Network (GKAN), a novel GNN model leveraging spline-based activation functions on edges to enhance both accuracy and interpretability. Our experiments on five benchmark datasets demonstrate that GKAN outperforms state-of-the-art GNN models in node classification, link prediction, and graph classification tasks. In addition to the improved accuracy, GKAN's design inherently provides clear insights into the model's decision-making process, eliminating the need for post-hoc explainability techniques. This paper discusses the methodology, performance, and interpretability of GKAN, highlighting its potential for applications in domains where interpretability is crucial.

Key facts. Cited by 32 papers in the map (data through 14 Oct 2026). Builds on 25 of its 48 references that are in the map. First posted on arXiv 26 Jun 2024.

Builds on

25 of 48 references.

References · 25

  1. 2017Attention Is All You Needcited by 60,361
  2. 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,305
  3. 2016Semi-Supervised Classification with Graph Convolutional Networkscited by 11,361
  4. 2017Graph Attention Networkscited by 8,923
  5. 2017Inductive Representation Learning on Large Graphscited by 6,320
  6. 2018How Powerful are Graph Neural Networks?cited by 4,393
  7. 2017Neural Message Passing for Quantum Chemistrycited by 3,487
  8. 2019A Comprehensive Survey on Graph Neural Networkscited by 2,919
  9. 2019Fast Graph Representation Learning with PyTorch Geometriccited by 2,434
  10. 2016Variational Graph Auto-Encoderscited by 1,382
  11. 2020Simple and Deep Graph Convolutional Networkscited by 860
  12. 2021How Attentive are Graph Attention Networks?cited by 835
13 more
  1. 2024KAN: Kolmogorov-Arnold Networkscited by 649
  2. 2019DeepGCNs: Can GCNs Go as Deep as CNNs?cited by 527
  3. 2016Interaction Networks for Learning about Objects, Relations and Physicscited by 509
  4. 2023A Survey on Oversmoothing in Graph Neural Networkscited by 247
  5. 2020A Survey on the Explainability of Supervised Machine Learningcited by 227
  6. 2024Kolmogorov-Arnold Networks are Radial Basis Function Networkscited by 128
  7. 2021Dirichlet Energy Constrained Learning for Deep Graph Neural Networkscited by 97
  8. 2023Everything is Connected: Graph Neural Networkscited by 85
  9. 2024TKAN: Temporal Kolmogorov-Arnold Networkscited by 71
  10. 2020Tackling Over-Smoothing for General Graph Convolutional Networkscited by 66
  11. 2021GraphSVX: Shapley Value Explanations for Graph Neural Networkscited by 64
  12. 2024GKAN: Graph Kolmogorov-Arnold Networkscited by 53
  13. 2024GraphKAN: Enhancing Feature Extraction with Graph Kolmogorov Arnold Networkscited by 32

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2024: 14; 2025: 12; 2026: 6.

32 papers.

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  1. 2024KAN 2.0: Kolmogorov-Arnold Networks Meet Sciencecited by 118
  2. 2024A Survey on Kolmogorov-Arnold Networkcited by 68
  3. 2024On the expressiveness and spectral bias of KANscited by 37
  4. 2024PointNet with KAN versus PointNet with MLP for 3D Classification and Segmentation of Point Setscited by 15
  5. 2024DropKAN: Regularizing KANs by masking post-activationscited by 14
  6. 2024F-KANs: Federated Kolmogorov-Arnold Networkscited by 14
  7. 2024Generalization Bounds and Model Complexity for Kolmogorov-Arnold Networkscited by 11
  8. 2024Addressing common misinterpretations of KART and UAT in neural network literaturecited by 9
  9. 2024Multifidelity Kolmogorov-Arnold Networkscited by 9
  10. 2024Bayesian Kolmogorov Arnold Networks (Bayesian_KANs): A Probabilistic Approach to Enhance Accuracy and Interpretabilitycited by 8
  11. 2024Architectural Scaling Surpass Basis Complexity? Efficient KANs with Single-Parameter Designcited by 6
  12. 2024Rethinking the Function of Neurons in KANscited by 5
20 more
  1. 2026FEKAN: Feature-Enriched Kolmogorov-Arnold Networkscited by 5
  2. 2024Incorporating Arbitrary Matrix Group Equivariance into KANscited by 4
  3. 2025KAC: Kolmogorov-Arnold Classifier for Continual Learningcited by 4
  4. 2025AF-KAN: Activation Function-Based Kolmogorov-Arnold Networks for Efficient Representation Learningcited by 3
  5. 2025Interpretable Graph Kolmogorov-Arnold Networks for Multi-Cancer Classification and Biomarker Identification using Multi-Omics Datacited by 3
  6. 2025Physics-informed KAN PointNet: Deep learning for simultaneous solutions to inverse problems in incompressible flow on numerous irregular geometriescited by 3
  7. 2025Conformalized-KANs: Uncertainty Quantification with Coverage Guarantees for Kolmogorov-Arnold Networks (KANs) in Scientific Machine Learningcited by 3
  8. 2026SINDy-KANs: Sparse identification of non-linear dynamics through Kolmogorov-Arnold networkscited by 3
  9. 2024Quantum Kolmogorov-Arnold networks by combining quantum signal processing circuitscited by 1
  10. 2025KAA: Kolmogorov-Arnold Attention for Enhancing Attentive Graph Neural Networkscited by 1
  11. 2025MLPs and KANs for data-driven learning in physical problems: A performance comparisoncited by 1
  12. 2025Automated Modeling Method for Pathloss Model Discoverycited by 1
  13. 2025KAN KAN Buff Signed Graph Neural Networks?cited by 0
  14. 2025HyperKAN: Hypergraph Representation Learning with Kolmogorov-Arnold Networkscited by 0
  15. 2025Transferring Social Network Knowledge from Multiple GNN Teachers to Kolmogorov-Arnold Networkscited by 0
  16. 2025Kolmogorov-Arnold graph neural networks for chemically informed prediction tasks on inorganic nanomaterialscited by 0
  17. 2026MGKAN: Predicting Asymmetric Drug-Drug Interactions via a Multimodal Graph Kolmogorov-Arnold Networkcited by 0
  18. 2026Singularity Formation: Synergy in Theoretical, Numerical and Machine Learning Approachescited by 0
  19. 2026KAN Text to Vision? The Exploration of Kolmogorov-Arnold Networks for Multi-Scale Sequence-Based Pose Animation from Sign Language Notationcited by 0
  20. 2026PGP-Clinical-TimeKAN: Prior-Guided Joint Probabilistic Forecasting of Clinical Trajectoriescited by 0