Abstract: Chebyshev polynomials are employed in various applications, such as cryptography and pseudorandom numbers. The sequences generated by iterating Chebyshev polynomials over finite sets should ...

Abstract: Gaussian processes (GP) are becoming more and more popular way to solve statistics and machine learning problems. One of the reasons is the increase in computational power that can handle ...

Department of Mathematics, Faculty of Science, Hadhramout University, Hadhranout, Yemen. The main aim of this paper is to consider a new generalization of the Hermite matrix polynomials and to derive ...

ABSTRACT: A time-spectral method for solution of initial value partial differential equations is outlined. Multivariate Chebyshev series are used to represent all temporal, spatial and physical ...

This project provides an optimized implementation of Recursive Least Squares (RLS) for polynomial regression that leverages a Chebyshev polynomial basis for improved numerical stability. The algorithm ...

The implied volatility is a crucial element in any financial toolbox, since it is used to both quote and hedge options as well as for model calibration. In contrast to the Black–Scholes formula, its ...

Kolmogorov-Arnold Networks (KAN) using Chebyshev polynomials instead of B-splines. This is inspired by Kolmogorov-Arnold Networks https://arxiv.org/abs/2404.19756v2 ...