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A FUNCTIONAL EQUATION WITH POLYNOMIAL SOLUTIONS AND APPLICATION TO NEURAL NETWORKS

Abstract : We construct and discuss a functional equation with contraction property. The solutions are real univariate polynomials. The series solving the natural fixed point iterations have immediate interpretation in terms of Neural Networks with recursive properties and controlled accuracy.
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https://hal.sorbonne-universite.fr/hal-02959678
Contributor : Bruno Després Connect in order to contact the contributor
Submitted on : Tuesday, November 24, 2020 - 9:37:59 AM
Last modification on : Thursday, April 7, 2022 - 1:58:31 PM

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  • HAL Id : hal-02959678, version 3

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Bruno Després, Matthieu Ancellin. A FUNCTIONAL EQUATION WITH POLYNOMIAL SOLUTIONS AND APPLICATION TO NEURAL NETWORKS. 2020. ⟨hal-02959678v3⟩

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