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- W2502087804 abstract "In this paper, we develop the theory for a family of neural network (NN) operators of the Kantorovich type, in the general setting of Orlicz spaces. In particular, a modular convergence theorem is established. In this way, we study the above family of operators in many instances of useful spaces by a unique general approach. The above NN operators provide a constructive approximation process, in which the coefficients, the weights, and the thresholds of the networks needed in order to approximate a given function f , are known. At the end of the paper, several examples of Orlicz spaces, and of sigmoidal activation functions for which the present theory can be applied, are studied in details." @default.
- W2502087804 created "2016-08-23" @default.
- W2502087804 creator A5032527090 @default.
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- W2502087804 date "2016-07-27" @default.
- W2502087804 modified "2023-10-05" @default.
- W2502087804 title "Convergence for a family of neural network operators in Orlicz spaces" @default.
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- W2502087804 doi "https://doi.org/10.1002/mana.201600006" @default.
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