Convergence for a family of neural network operators in Orlicz spaces

Solving numerically nonlinear systems of balance laws by multivariate sigmoidal functions approximation

(2016) Danilo Costarelli et al.   COMPUTATIONAL & APPLIED MATHEMATICS

Max-product neural network and quasi-interpolation operators activated by sigmoidal functions

(2016) Danilo Costarelli et al.   JOURNAL OF APPROXIMATION THEORY

Solving numerically nonlinear systems of balance laws by multivariate sigmoidal functions approximation

(2016) Danilo Costarelli et al.   computational and applied mathematics

Discontinuous Neural Networks for Finite-Time Solution of Time-Dependent Linear Equations

(2016) Mauro Di Marco et al.   IEEE Transactions on Cybernetics

Approximation Results for a General Class of Kantorovich Type Operators

(2016) Gianluca Vinti et al.   ADVANCED NONLINEAR STUDIES

Enhancement of thermographic images as tool for structural analysis in earthquake engineering

(2015) F. Cluni et al.   NDT & E INTERNATIONAL

Neural network operators: Constructive interpolation of multivariate functions

(2015) Danilo Costarelli   NEURAL NETWORKS

Degree of Approximation for Nonlinear Multivariate Sampling Kantorovich Operators on Some Functions Spaces

(2015) Danilo Costarelli et al.   NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION

Rate of approximation for multivariate sampling Kantorovich operators on some functions spaces

(2015) Danilo Costarelli et al.   Journal of Integral Equations and Applications

Convergence of a family of neural network operators of the Kantorovich type

(2014) Danilo Costarelli et al.   JOURNAL OF APPROXIMATION THEORY

Order of approximation for sampling Kantorovich operators

(2014) Danilo Costarelli et al.   Journal of Integral Equations and Applications

A collocation method for solving nonlinear Volterra integro-differential equations of neutral type by sigmoidal functions

(2014) Danilo Costarelli et al.   Journal of Integral Equations and Applications

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

Necessary and sufficient condition for multistability of neural networks evolving on a closed hypercube

(2014) Mauro Di Marco et al.   NEURAL NETWORKS

Error Estimate for Spherical Neural Networks Interpolation

(2014) Shaobo Lin et al.   NEURAL PROCESSING LETTERS

Approximation by series of sigmoidal functions with applications to neural networks

(2013) Danilo Costarelli et al.   ANNALI DI MATEMATICA PURA ED APPLICATA

Solving Volterra integral equations of the second kind by sigmoidal functions approximation

(2013) Danilo Costarelli et al.   Journal of Integral Equations and Applications

Multivariate neural network operators with sigmoidal activation functions

(2013) Danilo Costarelli et al.   NEURAL NETWORKS

Image classification based on effective extreme learning machine

(2012) Feilong Cao et al.   NEUROCOMPUTING

Nonlinear integral operators with homogeneous kernels: pointwise approximation theorems

(2011) Carlo Bardaro et al.   APPLICABLE ANALYSIS

Prediction by Samples From the Past With Error Estimates Covering Discontinuous Signals

(2010) Carlo Bardaro et al.   IEEE TRANSACTIONS ON INFORMATION THEORY

Approximation with neural networks activated by ramp sigmoids

(2010) Gerald H.L. Cheang   JOURNAL OF APPROXIMATION THEORY

Approximation with Respect to Goffman–Serrin Variation by Means of Non-Convolution Type Integral Operators

(2010) Laura Angeloni et al.   NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION

The approximation operators with sigmoidal functions

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

An Integral Upper Bound for Neural Network Approximation

(2009) Paul C. Kainen et al.   NEURAL COMPUTATION

On pointwise convergence of linear integral operators with homogeneous kernels

(2008) Carlo Bardaro et al.   INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

The errors of approximation for feedforward neural networks in the Lp metric

(2008) Feilong Cao et al.   MATHEMATICAL AND COMPUTER MODELLING