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Affine continuous cellular automata solving the fixed-length density classification problem

(2018) NATURAL COMPUTING. 17(3). p.467-477
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Abstract
In this paper, the classical density classification problem is considered in the context of affine continuous cellular automata. It has been shown earlier that there exists no general solution to this problem that is valid for any number of cells. Here, we consider this problem in the case of a fixed number of cells. Necessary conditions for solving the problem are formulated. Based on this knowledge, a specific class of affine continuous cellular automata is evaluated experimentally for 23 cells. A rich solution set is analysed and visualised.
Keywords
Density classification problem, Affine continuous cellular automata, Majority problem, RULES, 2-STATE

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Chicago
Dembowski, Marcin, Barbara Wolnik, Witold Tadeusz Bolt, Jan Baetens, and Bernard De Baets. 2018. “Affine Continuous Cellular Automata Solving the Fixed-length Density Classification Problem.” Natural Computing 17 (3): 467–477.
APA
Dembowski, M., Wolnik, B., Bolt, W. T., Baetens, J., & De Baets, B. (2018). Affine continuous cellular automata solving the fixed-length density classification problem. NATURAL COMPUTING, 17(3), 467–477.
Vancouver
1.
Dembowski M, Wolnik B, Bolt WT, Baetens J, De Baets B. Affine continuous cellular automata solving the fixed-length density classification problem. NATURAL COMPUTING. 2018;17(3):467–77.
MLA
Dembowski, Marcin et al. “Affine Continuous Cellular Automata Solving the Fixed-length Density Classification Problem.” NATURAL COMPUTING 17.3 (2018): 467–477. Print.
@article{8579010,
  abstract     = {In this paper, the classical density classification problem is considered in the context of affine continuous cellular automata. It has been shown earlier that there exists no general solution to this problem that is valid for any number of cells. Here, we consider this problem in the case of a fixed number of cells. Necessary conditions for solving the problem are formulated. Based on this knowledge, a specific class of affine continuous cellular automata is evaluated experimentally for 23 cells. A rich solution set is analysed and visualised.},
  author       = {Dembowski, Marcin and Wolnik, Barbara and Bolt, Witold Tadeusz and Baetens, Jan and De Baets, Bernard},
  issn         = {1567-7818},
  journal      = {NATURAL COMPUTING},
  language     = {eng},
  number       = {3},
  pages        = {467--477},
  title        = {Affine continuous cellular automata solving the fixed-length density classification problem},
  url          = {http://dx.doi.org/10.1007/s11047-017-9631-4},
  volume       = {17},
  year         = {2018},
}

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