Initial Generation of Concepts in Image Processing Based on the Algebra of Fourier-Dual Operations

Abstract

Abstract—Inductive concept generation in image processing on neural networks that perform the algebra of Fourier-dual model-determining operations is considered. A model of initial (i.e., when there are no earlier concepts) concept generation is proposed. The biological inspiration of the model is established. The phenomenon of cognitive saturation is proposed, which is expressed by stopping the growth of the performance evaluation of the formation of an inductive hypothesis with an increasing number of examples. The mechanism of this phenomenon is analyzed and the relationship with the information capacity of patterns of the internal representations of perceived images, due to the inherent characteristics of the cognitive agent, is given. The simulation results are given based on the example of the Darii syllogism inversion when the weights of links are recorded in plane and in volume.