TRIBOLOGICAL PROCESS CHARACTERISTICS ON THE BASIS OF A NEURON ACTIVATION MODEL OBTAINED THROUGH THE MULTI-OPTIONAL FUNCTIONS ENTROPY DOCTRINE
Journal Title: Проблеми тертя та зношування - Year 2018, Vol 80, Issue
Abstract
It is made an attempt to propose some appropriate models of the friction and wear processes that could happen in the considered structural elements of the engineer-ing units. The uncertainty measure in the given consideration is the entropy of the special hybrid-optional effectiveness functions. Such kind of entropy originates from the Jaynes’ principle, being adapted to the subjective entropy maximum prin-ciple, with the implementation possibilities to the applicable fields of aviation in-dustry as that follows the readings of the references. The paper theoretically con-siders the possibility of the multi-optional hybrid functions entropy conditional op-timization doctrine applicability with the purpose of discovering substantiated rea-son for the special hybrid-optional effectiveness functions existence, as well as the reasons for the formula optimality. The neuron model activation function, or a squashing function, of a sigmoid type function like logistic function, formula is ob-tained with taking into account the degree of uncertainty for a certain type hybrid-optional effectiveness functions. With the help of the variational principle it is shown the optimality of the formula. The evolution of the proposed at this paper approach from the subjective analysis to the hybrid multi-optional functions opti-mization doctrine implies the use of the hybrid multi-optional functions, as an ob-jectively existing characteristic of a phenomenon, instead of the subjectively pre-ferred, by a human, functions, since no one chooses the objectively existential reali-ty. The approach has a significance of a plausible explanation for the phenomena stipulated by multi-optionality.
Authors and Affiliations
A. V. GONCHARENKO
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