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A statistical approach to the identification of diploid cellular automata based on incomplete observations
Witold Bołt1, Aleksander Bołt2, Barbara Wolnik2
1Systems Research Institute, Polish Academy of Sciences, Newelska St. 6, 01-447 Warsaw, Poland; KERMIT, Department of Data Analysis and Mathematical Modelling, Ghent University, B-9000 Ghent, Belgium.
Abstract:
In this paper, the identification problem of diploid cellular automata is considered, in which, based on a series of incomplete observations, the underlying cellular automaton rules and the states of missing cell states are to be uncovered. An algorithm for identifying the rule, based on a statistical parameter estimation method using a normal distribution approximation, is presented. In addition, an algorithm for filling the missing cell states is formulated. The accuracy of these methods is examined in a series of computational experiments.
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