{"title":"The Identification of Cellular Automata","authors":"Yifan Zhao, S. Billings","doi":"10.1201/9781315274355","DOIUrl":null,"url":null,"abstract":"Although cellular automata have been widely studied as a class of the spatio temporal systems, very few investigators have studied how to identify the CA rules given observations of the patterns. A solution using a polynomial realization to describe the CA rule is reviewed in the present study based on the application of an orthogonal least squares algorithm. Three new neighbourhood detection methods are then reviewed as important preliminary analysis procedures to reduce the complexity of the estimation. The identification of excitable media is discussed using simulation examples and real data sets and a new method for the identification of hybrid CA is introduced.","PeriodicalId":55628,"journal":{"name":"Journal of Cellular Automata","volume":null,"pages":null},"PeriodicalIF":0.1000,"publicationDate":"2006-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"109","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Cellular Automata","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1201/9781315274355","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, THEORY & METHODS","Score":null,"Total":0}
引用次数: 109
Abstract
Although cellular automata have been widely studied as a class of the spatio temporal systems, very few investigators have studied how to identify the CA rules given observations of the patterns. A solution using a polynomial realization to describe the CA rule is reviewed in the present study based on the application of an orthogonal least squares algorithm. Three new neighbourhood detection methods are then reviewed as important preliminary analysis procedures to reduce the complexity of the estimation. The identification of excitable media is discussed using simulation examples and real data sets and a new method for the identification of hybrid CA is introduced.
期刊介绍:
The Journal of Cellular Automata publishes high-quality papers where cellular automata are studied theoretically or used as computational models of mathematical, physical, chemical, biological, social and engineering systems.
A few examples are given in the list below, which is but a small sample of the areas of interest explored by this journal: Structure formation, heat conduction, self-reproduction, language recognition, evolutionary games, image processing, cryptography, random number generation, computational universality, traffic dynamics, neural networks, alternative discrete-physics models, population dynamics etc.
Full length original papers, short communications, reviews and tutorial articles are welcome.