Approximation error of single hidden layer neural networks with fixed weights

This paper provides an explicit formula for the approximation error of single hidden layer neural networks with two fixed weights.

cs.LG math.CA stat.ML Neural Networks and Applications Machine Learning and ELM Face and Expression Recognition Computer Science Mathematics

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References (53)

01Approximation capability of two hidden layer feedforward neural networks with fixed weightsNamig J. Guliyev, V. Ismailov2018 · Neurocomputing · 89 citations In Library

02On the approximation by single hidden layer feedforward neural networks with fixed weightsNamig J. Guliyev, V. Ismailov2017 · Neural Networks · 131 citations In Library

03Saturation Classes for Max-Product Neural Network Operators Activated by Sigmoidal FunctionsD. Costarelli, G. Vinti2017 · Results in Mathematics · 44 citations

04Measure Theoretic Results for Approximation by Neural Networks with Limited WeightsV. Ismailov, E. Savaş2017 · arXiv.org · 7 citations In Library

05Diliberto–Straus algorithm for the uniform approximation by a sum of two algebrasA. Asgarova, V. Ismailov2017 · Proceedings - Mathematical Sciences · 2 citations

06APPROXIMATION OF THE CUT FUNCTION BY STANNARD AND RICHARD SIGMOID FUNCTIONSA. Iliev, N. Kyurkchiev, S. Markov2016 · 20 citations

07A note on the equioscillation theorem for best ridge function approximationV. Ismailov2016 · 10 citations

08On the Diliberto-Straus algorithm for the uniform approximation by a sum of two algebrasA. Asgarova, V. Ismailov2016 · 9 citations

09Sigmoid Functions: Some Approximation and Modelling AspectsMarkov Svetoslav, Kyurkchiev Nikolay2015 · 161 citations

10Sigmoidal Functions: Some Computational and Modelling AspectsN. Kyurkchiev, S. Markov2015 · 60 citations

11Jackson-type inequalities for spherical neural networks with doubling weightsShaobo Lin, Jinshan Zeng, Lin Xu et al.2015 · Neural Networks · 3 citations

12A note on the representation of continuous functions by linear superpositionsV. Ismailov2015 · 15 citations

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