THE KOLMOGOROV METRIC AND A GENERALIZATION ON A. CLASSIFICATION OF CELLULAR AUTOMATA. LOUIS D'ALOtto. Department of Mathematics/Computer Science. St. John's ...
This paper introduces and applies a new metric, on the space of bi-infinite strings (sequences), to the linear cellular automata classification approach of ...
Kolmogorov Complexity and Cellular Automata Classification
www.researchgate.net › publication › 22...
We present a new approach to cellular automata (CA) classification based on algorithmic complexity. We construct a parameter κ which is based only on the ...
The Kolmogorov complexity is an interesting measure that is in many ways similar to entropy. Complexity in the rule table is reflected in the space–time ...
Jan 17, 2024 · [131] H. A. Gutowitz, A hierarchical classification of cellular automata, Physica ... [369] D. A. Zaitsev, A generalized neighborhood for cellular ...
Jul 24, 2023 · We show that cellular automata can classify data by inducing a form of dynamical phase coexis- tence. We use Monte Carlo methods to search ...
The Kolmogorov metric and a generalization on a classification of cellular automata ... The Kolmogorov metric and a classification of linear cellular automata.
This universality implies that many details of the construction of a cellular automaton are irrelevant in determining its qualitative behaviour. Thus complex ...
Cellular Automata Modeling of Physical Systems. (1998). L. D'Alotto et al. The Kolmogorov metric and a generalization on a classification of cellular automata ...
Kolmogorov (or algorithmic) complexity was introduced to precisely formalize the notion of“randomness.” Former definitions of randomness were based on ...