Гладкая кусочно-квадратичная аппроксимация в комплекснозначном нейросетевом базисе

Aleksey Mihaylovich Vulfin; Vahit Mansurovich Giniyatullin

The continuously differentiable piecewise-quadratic approximation in complex neural basis

Authors

Aleksey Mihaylovich Vulfin
Vahit Mansurovich Giniyatullin

Keywords:

Аппроксимация ; гладкая аппроксимация ; нейрон ; комплексный вектор ; паракомплексный вектор

Abstract

An algorithm of the continuously differentiable piecewise-quadratic approximation of functions of a single variable is discussed in this work. Elementary approximation functions are generated by complexvalued neurons (elliptical units) and by paracomplexvalued neurons (hyperbolical units).