10 citations · 12 across the 5 of their papers we have counts for
5 papers
Algorithmic Solution for Systems of Linear Equations, in time
Nikolaos P. Bakas
We present a novel algorithm attaining excessively fast, the sought solution of linear systems of equations. The algorithm is short in its basic formulation and, by definition, vec…
The Lagrangian remainder of Taylor's series, distinguishes time complexities to polynomials or not
Nikolaos P. Bakas, Elias Kosmatopoulos, Mihalis Nicolaou +1
The purpose of this letter is to investigate the time complexity consequences of the truncated Taylor series, known as Taylor Polynomials \cite{bakas2019taylor,Katsoprinakis2011,Ne…
ITSO: A novel Inverse Transform Sampling-based Optimization algorithm for stochastic search
Nikolaos P. Bakas, Vagelis Plevris, Andreas Langousis +1
Optimization algorithms appear in the core calculations of numerous Artificial Intelligence (AI) and Machine Learning methods, as well as Engineering and Business applications. Fol…
Taylor Polynomials in High Arithmetic Precision as Universal Approximators
Nikolaos P. Bakas
Function approximation is a generic process in a variety of computational problems, from data interpolation to the solution of differential equations and inverse problems. In this…
A Gradient Free Neural Network Framework Based on Universal Approximation Theorem
Nikolaos P. Bakas, Andreas Langousis, Mihalis Nicolaou +1
We present a numerical scheme for computation of Artificial Neural Networks (ANN) weights, which stems from the Universal Approximation Theorem, avoiding laborious iterations. The…