On the approximation by single hidden layer feedforward neural networks with fixed weights NJ Guliyev, VE Ismailov Neural Networks 98, 296-304, 2018 | 130 | 2018 |
A single hidden layer feedforward network with only one neuron in the hidden layer can approximate any univariate function NJ Guliyev, VE Ismailov Neural computation 28 (7), 1289-1304, 2016 | 122 | 2016 |
On the approximation by neural networks with bounded number of neurons in hidden layers VE Ismailov Journal of Mathematical Analysis and Applications 417 (2), 963-969, 2014 | 116 | 2014 |
Approximation capability of two hidden layer feedforward neural networks with fixed weights NJ Guliyev, VE Ismailov Neurocomputing 316, 262-269, 2018 | 75 | 2018 |
Approximation by neural networks with weights varying on a finite set of directions VE Ismailov Journal of Mathematical Analysis and Applications 389 (1), 72-83, 2012 | 42 | 2012 |
On the representation by linear superpositions VE Ismailov Journal of approximation theory 151 (2), 113-125, 2008 | 36 | 2008 |
Characterization of an extremal sum of ridge functions VE Ismailov Journal of computational and applied mathematics 205 (1), 105-115, 2007 | 34 | 2007 |
Interpolation on lines by ridge functions VE Ismailov, A Pinkus Journal of Approximation Theory 175, 91-113, 2013 | 25 | 2013 |
Ridge functions and applications in neural networks VE Ismailov American Mathematical Society, 2021 | 23* | 2021 |
On a smoothness problem in ridge function representation RA Aliev, VE Ismailov Advances in Applied Mathematics 73, 154-169, 2016 | 22 | 2016 |
Approximation by ridge functions and neural networks with a bounded number of neurons VE Ismailov Applicable Analysis 94 (11), 2245-2260, 2015 | 22 | 2015 |
Approximation by sums of ridge functions with fixed directions V Ismailov St. Petersburg Mathematical Journal 28 (6), 741-772, 2017 | 20 | 2017 |
A note on the representation of continuous functions by linear superpositions VE Ismailov Expositiones Mathematicae 30 (1), 96-101, 2012 | 18 | 2012 |
Methods for computing the least deviation from the sums of functions of one variable VE Ismailov Siberian Mathematical Journal 47, 883-888, 2006 | 18 | 2006 |
Representation of multivariate functions by sums of ridge functions VE Ismailov Journal of mathematical analysis and applications 331 (1), 184-190, 2007 | 17 | 2007 |
A note on the best L2 approximation by ridge functions VE Ismailov Appl. Math. E-Notes 7, 71-76, 2007 | 17 | 2007 |
On error formulas for approximation by sums of univariate functions VE Ismailov International journal of mathematics and mathematical sciences 2006, 2006 | 16 | 2006 |
A three layer neural network can represent any multivariate function VE Ismailov Journal of Mathematical Analysis and Applications 523 (1), 127096, 2023 | 15 | 2023 |
On the proximinality of ridge functions VE Ismailov Sarajevo J. Math. 5 (1), 109--118, 2009 | 15 | 2009 |
A review of some results on ridge function approximation VE Ismailov Azerb. J. Math 3 (1), 3-51, 2013 | 14 | 2013 |