Series of Semihypergroups of Time-Varying Artificial Neurons and Related Hyperstructures

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Detailed analysis of the function of multilayer perceptron (MLP) and its neurons together with the use of time-varying neurons allowed the authors to find an analogy with the use of structures of linear differential operators. This procedure allowed the construction of a group and a hypergroup of artificial neurons. In this article, focusing on semihyperstructures and using the above described procedure, the authors bring new insights into structures and hyperstructures of artificial neurons and their possible symmetric relations.

Klíčová slova
time-varying artificial neuron
ordered group
transposition hypergroup
linear differential operator