June 6, 2024, 4:41 a.m. | Seyd Teymoor Seydi

cs.LG updates on arXiv.org arxiv.org

arXiv:2406.02583v1 Announce Type: new
Abstract: This paper presents a comprehensive survey of 18 distinct polynomials and their potential applications in Kolmogorov-Arnold Network (KAN) models as an alternative to traditional spline-based methods. The polynomials are classified into various groups based on their mathematical properties, such as orthogonal polynomials, hypergeometric polynomials, q-polynomials, Fibonacci-related polynomials, combinatorial polynomials, and number-theoretic polynomials. The study aims to investigate the suitability of these polynomials as basis functions in KAN models for complex tasks like handwritten digit classification …

arxiv comparative study cs.ai cs.cv cs.lg functions networks polynomial potential study type

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