mlsanityData to 7 Oct 2026

CVKAN: Complex-Valued Kolmogorov-Arnold Networks

arXiv 2502.02417 ↗First posted 4 Feb 2025cs.LGcited by 5

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Abstract (arXiv)

In this work we propose CVKAN, a complex-valued Kolmogorov-Arnold Network (KAN), to join the intrinsic interpretability of KANs and the advantages of Complex-Valued Neural Networks (CVNNs). We show how to transfer a KAN and the necessary associated mechanisms into the complex domain. To confirm that CVKAN meets expectations we conduct experiments on symbolic complex-valued function fitting and physically meaningful formulae as well as on a more realistic dataset from knot theory. Our proposed CVKAN is more stable and performs on par or better than real-valued KANs while requiring less parameters and a shallower network architecture, making it more explainable.

Key facts. Cited by 5 papers in the map (data through 7 Oct 2026). Builds on 22 of its 44 references that are in the map. First posted on arXiv 4 Feb 2025.

Builds on

22 of 44 references.

References · 22

  1. 2015Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shiftcited by 6,979
  2. 2024KAN: Kolmogorov-Arnold Networkscited by 634
  3. 2017Deep Complex Networkscited by 215
  4. 2024Kolmogorov-Arnold Networks are Radial Basis Function Networkscited by 125
  5. 2024KAN 2.0: Kolmogorov-Arnold Networks Meet Sciencecited by 116
  6. 2024DeepOKAN: Deep Operator Network Based on Kolmogorov Arnold Networks for Mechanics Problemscited by 82
  7. 2024Convolutional Kolmogorov-Arnold Networkscited by 76
  8. 2024KAN or MLP: A Fairer Comparisoncited by 71
  9. 2024Kolmogorov Arnold Informed neural network: A physics-informed deep learning framework for solving forward and inverse problems based on Kolmogorov Arnold Networkscited by 64
  10. 2021A Survey of Complex-Valued Neural Networkscited by 61
  11. 2024Kolmogorov-Arnold Transformercited by 56
  12. 2024GKAN: Graph Kolmogorov-Arnold Networkscited by 52
10 more
  1. 2024KAGNNs: Kolmogorov-Arnold Networks meet Graph Learningcited by 48
  2. 2024A Benchmarking Study of Kolmogorov-Arnold Networks on Tabular Datacited by 25
  3. 2024CoxKAN: Kolmogorov-Arnold Networks for Interpretable, High-Performance Survival Analysiscited by 22
  4. 2024How to Learn More? Exploring Kolmogorov-Arnold Networks for Hyperspectral Image Classificationcited by 19
  5. 2023Building Blocks for a Complex-Valued Transformer Architecturecited by 16
  6. 2024On the Robustness of Kolmogorov-Arnold Networks: An Adversarial Perspectivecited by 11
  7. 2024KAN You See It? KANs and Sentinel for Effective and Explainable Crop Field Segmentationcited by 8
  8. 2022Phase Aberration Correction for in vivo Ultrasound Localization Microscopy Using a Spatiotemporal Complex-Valued Neural Networkcited by 4
  9. 2024Towards Explaining Hypercomplex Neural Networkscited by 3
  10. 2024Deep Complex-valued Radial Basis Function Neural Networks and Parameter Selectioncited by 1

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2025: 2; 2026: 3.

5 papers.

  1. 2026Making Gaussian Kolmogorov-Arnold Networks Reliable and Accuratecited by 3
  2. 2025SOH-KLSTM: A Hybrid Kolmogorov-Arnold Network and LSTM Model for Enhanced Lithium-Ion Battery Health Monitoringcited by 1
  3. 2026Partition-of-Unity Gaussian Kolmogorov-Arnold Networkscited by 1
  4. 2025Novel Complex-Valued Hopfield Neural Networks with Phase and Magnitude Quantizationcited by 0
  5. 2026Clifford Kolmogorov-Arnold Networkscited by 0