SW-KAN: Kolmogorov-Arnold Networks with Stieltjes-Wigert q-Orthogonal Polynomials

cs.LG, cs.AI

Submitted: 2026-09-03

Updated: 2026-09-03

Comments: 22 pages, Code and pretrained models available at: https://github.com/amirhoseinazarpour/SW-KAN

Code: https://github.com/amirhoseinazarpour/SW-KAN

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Sources

• KAN: Kolmogorov-Arnold Networks
• KAN 2.0: Kolmogorov-Arnold Networks Meet Science
• Exploring the Potential of Polynomial Basis Functions in Kolmogorov-Arnold Networks: A Comparative Study of Different Groups of Polynomials
• Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation
• rKAN: Rational Kolmogorov-Arnold Networks
• RecKAN: Kolmogorov-Arnold Networks with a Learnable Recursive Polynomial Basis
• Error bounds for deep ReLU networks using the Kolmogorov--Arnold superposition theorem
• Wav-KAN: Wavelet Kolmogorov-Arnold Networks
• MatrixKAN: Parallelized Kolmogorov-Arnold Network
• Want to train KANS at scale? Now UKAN!
• Free-Knots Kolmogorov-Arnold Network: On the Analysis of Spline Knots and Advancing Stability
• Physics-informed Kolmogorov-Arnold Network with Chebyshev Polynomials for Fluid Mechanics
• The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue

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