Clifford Kolmogorov-Arnold Networks
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Abstract (arXiv)
We introduce Clifford Kolmogorov-Arnold Network (ClKAN), a flexible and efficient architecture for function approximation in arbitrary Clifford Algebra spaces. We propose the use of Randomized Quasi-Monte Carlo grid generation as a solution to the exponential scaling associated with higher-dimensional algebras. Our ClKAN also introduces new batch normalization strategies to deal with variable domain input. ClKAN finds application in scientific discovery and engineering, and is validated in synthetic and physics-inspired tasks.
Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 16 of its 37 references that are in the map. First posted on arXiv 5 Feb 2026.
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16 of 37 references.
References · 16
- 2024KAN: Kolmogorov-Arnold Networkscited by 634
- 2022Clifford Neural Layers for PDE Modelingcited by 91
- 2024KAN or MLP: A Fairer Comparisoncited by 71
- 2024A Survey on Kolmogorov-Arnold Networkcited by 67
- 2024Kolmogorov-Arnold Transformercited by 56
- 2023Clifford Group Equivariant Neural Networkscited by 54
- 2023Geometric Clifford Algebra Networkscited by 37
- 2023On the Kolmogorov neural networkscited by 19
- 2024KANICE: Kolmogorov-Arnold Networks with Interactive Convolutional Elementscited by 12
- 2025Free-Knots Kolmogorov-Arnold Network: On the Analysis of Spline Knots and Advancing Stabilitycited by 6
- 2024Residual Kolmogorov-Arnold Network for Enhanced Deep Learningcited by 5
- 2025CVKAN: Complex-Valued Kolmogorov-Arnold Networkscited by 5
4 more
- 2024Incorporating Arbitrary Matrix Group Equivariance into KANscited by 4
- 2025Automatic Grid Updates for Kolmogorov-Arnold Networks using Layer Histogramscited by 3
- 2025Geometric Kolmogorov-Arnold Superposition Theoremcited by 2
- 2025Variational Kolmogorov-Arnold Networkcited by 1
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