Construction of feedforward neural networks with simple architectures and approximation abilities

On the approximation by single hidden layer feedforward neural networks with fixed weights

(2018) Namig J. Guliyev et al.   NEURAL NETWORKS

Multidimensional Bernstein polynomials and Bezier curves: Analysis of machine learning algorithm for facial expression recognition based on curvature

(2018) Irem Kucukoglu et al.   APPLIED MATHEMATICS AND COMPUTATION

A Single Hidden Layer Feedforward Network with Only One Neuron in the Hidden Layer Can Approximate Any Univariate Function

(2016) Namig J. Guliyev et al.   NEURAL COMPUTATION

On a problem of Hornik

(2015) Ting Fan Xie et al.   ACTA MATHEMATICA SINICA-ENGLISH SERIES

Neural network operators: Constructive interpolation of multivariate functions

(2015) Danilo Costarelli   NEURAL NETWORKS

Interpolation by neural network operators activated by ramp functions

(2014) Danilo Costarelli   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

On the approximation by neural networks with bounded number of neurons in hidden layers

(2014) Vugar E. Ismailov   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Analysis of the Bernstein basis functions: an approach to combinatorial sums involving binomial coefficients and Catalan numbers

(2014) Yilmaz Simsek   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Generating Functions for the $q$-Bernstein Bases

(2014) Ron Goldman et al.   SIAM JOURNAL ON DISCRETE MATHEMATICS

A new class of polynomials associated with Bernstein and beta polynomials

(2013) Yilmaz Simsek   MATHEMATICAL METHODS IN THE APPLIED SCIENCES

Approximation results for neural network operators activated by sigmoidal functions

(2013) Danilo Costarelli et al.   NEURAL NETWORKS

The Bernstein polynomial basis: A centennial retrospective

(2012) Rida T. Farouki   COMPUTER AIDED GEOMETRIC DESIGN

Multivariate sigmoidal neural network approximation

(2011) George A. Anastassiou   NEURAL NETWORKS

The approximation operators with sigmoidal functions

(2009) Zhixiang Chen et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

The estimate for approximation error of neural networks: A constructive approach

(2007) Feilong Cao et al.   NEUROCOMPUTING