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Complexity measurement based on information theory and kolmogorov complexity
Leong Ting Lui, Germán Terrazas1, Hector Zenil2
1University of Nottingham.
Abstract:
In the past decades many definitions of complexity have been proposed. Most of these definitions are based either on Shannon's information theory or on Kolmogorov complexity; these two are often compared, but very few studies integrate the two ideas. In this article we introduce a new measure of complexity that builds on both of these theories. As a demonstration of the concept, the technique is applied to elementary cellular automata and simulations of the self-organization of porphyrin molecules.
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