Fractals, neural networks, cellular automata, formal language and coding theory

Author

Liu, Ying

Author_Institution

Dept. of Math. & Comput. Sci., Savannah State Coll., GA, USA

fYear

1992

Firstpage

1663

Abstract

The authors unify fractal theory for: learning, computer graphics, and data compression; Hopfield neural networks for pattern recognition; cellular automata for parallel computation; formal language theory; and coding theory for fault tolerance, data compression, and cryptography. It is shown that each of these fields is a piece of a big `pie,´ featuring storing information in stable configurations of dynamical systems. It is noted that this unified view will make the understanding of each field deeper and help its further development. This unified view will also provide a basis for proposing numerous models in various fields

Keywords

Hopfield neural nets; cellular automata; cryptography; data compression; encoding; formal languages; fractals; Hopfield neural networks; cellular automata; coding theory; computer graphics; cryptography; data compression; dynamical systems; formal language; fractal theory; parallel computation; pattern recognition; Cellular neural networks; Computer graphics; Computer networks; Concurrent computing; Data compression; Formal languages; Fractals; Hopfield neural networks; Neural networks; Pattern recognition;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man and Cybernetics, 1992., IEEE International Conference on

Conference_Location

Chicago, IL

Print_ISBN

0-7803-0720-8

Type

conf

DOI

10.1109/ICSMC.1992.271557

Filename

271557