Saturation Classes for Max-Product Neural Network Operators Activated by Sigmoidal Functions

Author:

Costarelli Danilo,Vinti Gianluca

Funder

Department of Mathematics and Computer Science of the University of Perugia

GNAMPA of the INdAM

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mathematics (miscellaneous)

Reference48 articles.

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2. Anastassiou, G.A., Coroianu, L., Gal, S.G.: Approximation by a nonlinear Cardaliaguet-Euvrard neural network operator of max-product kind. J. Comput. Anal. Appl. 12(2), 396–406 (2010)

3. Bardaro, C., Karsli, H., Vinti, G.: Nonlinear integral operators with homogeneous kernels: Pointwise approximation theorems. Appl. Anal. 90(3–4), 463–474 (2011)

4. Barron, A.R.: Universal approximation bounds for superpositions of a sigmoidal function. IEEE Trans. Inf. Theory 39(3), 930–945 (1993)

5. Barron, A.R., Klusowski, J.M.: Uniform approximation by neural networks activated by first and second order ridge splines, arXiv preprint arXiv:1607.07819 , (2016)

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