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Pattern association and retrieval in a continuous neural system
Author(s) -
Hung-Jen Chang,
Joydeep Ghosh
Publication year - 1993
Publication title -
biological cybernetics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.608
H-Index - 95
eISSN - 1432-0770
pISSN - 0340-1200
DOI - 10.1007/bf00201410
Subject(s) - invariant (physics) , nonlinear system , visual cortex , scaling , associative property , content addressable memory , artificial neural network , computer science , complex system , translation (biology) , artificial intelligence , mathematics , algorithm , pattern recognition (psychology) , physics , pure mathematics , geometry , neuroscience , biochemistry , chemistry , quantum mechanics , messenger rna , gene , mathematical physics , biology
This paper studies the behavior of a large body of neurons in the continuum limit. A mathematical characterization of such systems is obtained by approximating the inverse input-output nonlinearity of a cell (or an assembly of cells) by three adjustable linearized sections. The associative spatio-temporal patterns for storage in the neural system are obtained by using approaches analogous to solving space-time field equations in physics. A noise-reducing equation is also derived from this neural model. In addition, conditions that make a noisy pattern retrievable are identified. Based on these analyses, a visual cortex model is proposed and an exact characterization of the patterns that are storable in this cortex is obtained. Furthermore, we show that this model achieves pattern association that is invariant to scaling, translation, rotation and mirror-reflection.

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