Monotone Approximation by Quadratic Neural Network of Functions in Lp Spaces for p<1

Hawraa Abbas Almurieb, Eman Samir Bhaya · Iraqi Journal of Science · 2020

Some researchers are interested in using the flexible and applicable properties of quadratic functions as activation functions for FNNs. We study the essential approximation rate of any Lebesgue-integrable monotone function by a neural network of quadratic activation functions. The simultaneous degree of essential approximation is also studied. Both estimates are proved to be within the second order of modulus of smoothness.

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