Abstract

A neural network model of visual pattern recognition called the “neocognitron,” was earlier proposed by the author. It is capable of deformation-invariant visual pattern recognition. After learning, it can recognize input patterns without being affected by deformation, changes in size, or shifts in position. This paper offers a mathematical analysis of the process of visual pattern recognition by the neocognitron. The neocognitron is a hierarchical multilayered network. Its initial stage is an input layer, and each succeeding stage has a layer of “S-cells” followed by a layer of “C-cells.” Thus, in the whole network, layers of S-cells and C-cells are arranged alternately. The process of feature extraction by an S-cell is analyzed mathematically in this paper, and the role of the C-cells in deformation-invariant pattern recognition is discussed.

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