Intelligent analysis of information

Conceptual thinking generation by patterns processing by algebra of Fourier-dual operations

A. V. Pavlov

St. Petersburg National Research University of Information Technologies, Mechanics and Optics

Abstract: Inductive concepts generation by set of examples processing by the algebra of Fourier-dual operations is considered. A model of initial, that is under yet existed concepts absence, concepts generation is proposed. Biological inspiration of the model is discussed. A phenomenon of cognitive saturation, manifesting by the estimation of the inductive hypothesis pattern determining efficiency stopping by the number of learning examples increasing is demonstrated. The phenomenon mechanism is analyzed with respect of information capacity of the patterns of inner representation of perceived information, that is determined by the individual peculiarities of cognitive agent. The phenomenon manifestation is decreased by using volume recording media for the interconnections registration. Theoretical conclusions are confirmed by numerical simulations for “Darii” syllogism inversion.

Keywords: figurative thinking, conceptual thinking, concepts, induction, inductive concepts generation, Fourier-duality, Fourier transform, neural networks, visual cortex, matching filtering.

 English version: , 2019, 46:5, 345–355

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