Meta-Patterns and Higher Order Meta-Patterns in Cellular Systems

Authors:
Philip Van Loocke
Affiliations:
Lab for Applied Epistemology, Universiteit Gent, Blandijnberg 2, 9000 Gent, Belgium E-mail: philip.vanloocke@rug.ac.be
Venue:
Artificial Intelligence Review
Year:
2001

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Abstract

A new method for function approximation and classification in cellular systems is developed. The solution of a function approximation or a classification problem does not correspond to a connection matrix, but to a pattern in a cellular automaton. The pattern is obtained by a procedure of chaotic growth. It acts as a map between input- and ouput-patterns, and in this sense it is a meta-pattern. It is shown that problems with symmetry are typically solved by fractal patterns with aesthetic attractiveness. Also meta-meta-patterns are introduced, which are patterns that solve sets of problems instead of a single problem. Such patterns specify sets of sets of couples of input- and ouput-patterns. This schema is generalized straightforwardly for higher order meta-patterns.