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2016 | OriginalPaper | Buchkapitel

On the Identification of \(\alpha \)-Asynchronous Cellular Automata in the Case of Partial Observations with Spatially Separated Gaps

verfasst von : Witold Bołt, Barbara Wolnik, Jan M. Baetens, Bernard De Baets

Erschienen in: Challenging Problems and Solutions in Intelligent Systems

Verlag: Springer International Publishing

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Abstract

In this paper we present a statistical method, based on frequencies, for identifying so-called \(\alpha \)-asynchronous Cellular Automata from partial observations, i.e. pre-recorded configurations of the system with some cells having an unknown (missing) state. The presented method, in addition to finding the unknown Cellular Automaton, is able to unveil the missing state values with high accuracy.

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Literatur
1.
Zurück zum Zitat Adamatzky, A.: Identification of Cellular Automata. Taylor & Francis Group, London (1994)MATH Adamatzky, A.: Identification of Cellular Automata. Taylor & Francis Group, London (1994)MATH
2.
Zurück zum Zitat Al-Kheder, S., Wang, J., Shan, J.: Cellular automata urban growth model calibration with genetic algorithms. In: Urban Remote Sensing Joint Event, pp. 1–5. IEEE Press (2007) Al-Kheder, S., Wang, J., Shan, J.: Cellular automata urban growth model calibration with genetic algorithms. In: Urban Remote Sensing Joint Event, pp. 1–5. IEEE Press (2007)
3.
Zurück zum Zitat Andre, D., Bennett, III, F.H., Koza, J.R.: Discovery by genetic programming of a cellular automata rule that is better than any known rule for the majority classification problem. In: Proceedings of the 1st Annual Conference on Genetic Programming, pp. 3–11. MIT Press, Cambridge (1996) Andre, D., Bennett, III, F.H., Koza, J.R.: Discovery by genetic programming of a cellular automata rule that is better than any known rule for the majority classification problem. In: Proceedings of the 1st Annual Conference on Genetic Programming, pp. 3–11. MIT Press, Cambridge (1996)
4.
Zurück zum Zitat Baetens, J.M., Van der Weeën, P., De Baets, B.: Effect of asynchronous updating on the stability of cellular automata. Chaos Solitons Fractals 45, 383–394 (2012)CrossRefMATH Baetens, J.M., Van der Weeën, P., De Baets, B.: Effect of asynchronous updating on the stability of cellular automata. Chaos Solitons Fractals 45, 383–394 (2012)CrossRefMATH
5.
Zurück zum Zitat Bandini, S., Manzoni, S., Vanneschi, L.: Evolving robust cellular automata rules with genetic programming. In: Adamatzky, A., Alonso-Sanz, R., Lawniczak, A.T., Martínez, G.J., Morita, K., Worsch, T. (eds.) Automata, pp. 542–556. Luniver Press, Frome (2008) Bandini, S., Manzoni, S., Vanneschi, L.: Evolving robust cellular automata rules with genetic programming. In: Adamatzky, A., Alonso-Sanz, R., Lawniczak, A.T., Martínez, G.J., Morita, K., Worsch, T. (eds.) Automata, pp. 542–556. Luniver Press, Frome (2008)
6.
Zurück zum Zitat Billings, S.A., Yang, Y.: Identification of probabilistic cellular automata. IEEE Trans. Syst. Man Cybern. Part B Cybern. 33, 225–236 (2003)CrossRef Billings, S.A., Yang, Y.: Identification of probabilistic cellular automata. IEEE Trans. Syst. Man Cybern. Part B Cybern. 33, 225–236 (2003)CrossRef
7.
Zurück zum Zitat Bołt, W., Baetens, J.M., De Baets, B.: Identifying CAs with evolutionary algorithms. In: Proceedings of the 19th International Workshop on Cellular Automata and Discrete Complex Systems (AUTOMATA 2013) - Exploratory Papers, pp. 11–20 (2013) Bołt, W., Baetens, J.M., De Baets, B.: Identifying CAs with evolutionary algorithms. In: Proceedings of the 19th International Workshop on Cellular Automata and Discrete Complex Systems (AUTOMATA 2013) - Exploratory Papers, pp. 11–20 (2013)
8.
Zurück zum Zitat Bołt, W., Baetens, J.M., De Baets, B.: An evolutionary approach to the identification of cellular automata based on partial observations. In: Proceedings of the 2015 Congress of Evolutionary Computation (CEC 2015). IEEE Press (2015) Bołt, W., Baetens, J.M., De Baets, B.: An evolutionary approach to the identification of cellular automata based on partial observations. In: Proceedings of the 2015 Congress of Evolutionary Computation (CEC 2015). IEEE Press (2015)
9.
Zurück zum Zitat Brown, L.D., Cai, T.T., DasGupta, A.: Interval estimation for a binomial proportion. Stat. Sci. 16(2), 101–133 (2001)MathSciNetMATH Brown, L.D., Cai, T.T., DasGupta, A.: Interval estimation for a binomial proportion. Stat. Sci. 16(2), 101–133 (2001)MathSciNetMATH
10.
Zurück zum Zitat Bull, L., Adamatzky, A.: A learning classifier system approach to the identification of cellular automata. J. Cell. Autom. 2, 21–38 (2007)MathSciNetMATH Bull, L., Adamatzky, A.: A learning classifier system approach to the identification of cellular automata. J. Cell. Autom. 2, 21–38 (2007)MathSciNetMATH
11.
Zurück zum Zitat Bäck, T., Breukelaar, R., Willmes, L.: Inverse design of cellular automata by genetic algorithms: an unconventional programming paradigm. In: Banâtre, J.P., Fradet, P., Giavitto, J.L., Michel, O. (eds.) Unconventional Programming Paradigms. Lecture Notes in Computer Science, vol. 3566, pp. 161–172. Springer, Berlin (2005)CrossRef Bäck, T., Breukelaar, R., Willmes, L.: Inverse design of cellular automata by genetic algorithms: an unconventional programming paradigm. In: Banâtre, J.P., Fradet, P., Giavitto, J.L., Michel, O. (eds.) Unconventional Programming Paradigms. Lecture Notes in Computer Science, vol. 3566, pp. 161–172. Springer, Berlin (2005)CrossRef
12.
Zurück zum Zitat Das, D.: A survey on cellular automata and its applications. In: Krishna, P., Babu, M., Ariwa, E. (eds.) Global Trends in Computing and Communication Systems, Communications in Computer and Information Science, vol. 269, pp. 753–762. Springer, Berlin (2012) Das, D.: A survey on cellular automata and its applications. In: Krishna, P., Babu, M., Ariwa, E. (eds.) Global Trends in Computing and Communication Systems, Communications in Computer and Information Science, vol. 269, pp. 753–762. Springer, Berlin (2012)
13.
Zurück zum Zitat Fatès, N.: A guided tour of asynchronous cellular automata. In: Kari, J., Kutrib, M., Malcher, A. (eds.) Cellular Automata and Discrete Complex Systems. Lecture Notes in Computer Science, vol. 8155, pp. 15–30. Springer, Berlin (2013)CrossRef Fatès, N.: A guided tour of asynchronous cellular automata. In: Kari, J., Kutrib, M., Malcher, A. (eds.) Cellular Automata and Discrete Complex Systems. Lecture Notes in Computer Science, vol. 8155, pp. 15–30. Springer, Berlin (2013)CrossRef
14.
Zurück zum Zitat Fatès, N., Morvan, M.: An experimental study of robustness to asynchronism for elementary cellular automata. Complex Syst. 16, 1–27 (2005)MathSciNetMATH Fatès, N., Morvan, M.: An experimental study of robustness to asynchronism for elementary cellular automata. Complex Syst. 16, 1–27 (2005)MathSciNetMATH
15.
Zurück zum Zitat Ferreira, C.: Gene Expression Programming: Mathematical Modeling by an Artificial Intelligence, Studies in Computational Intelligence, vol. 21. Springer, Berlin (2006)MATH Ferreira, C.: Gene Expression Programming: Mathematical Modeling by an Artificial Intelligence, Studies in Computational Intelligence, vol. 21. Springer, Berlin (2006)MATH
16.
Zurück zum Zitat Liu, X., Li, X., Liu, L., He, J., Ai, B.: A bottom-up approach to discover transition rules of cellular automata using ant intelligence. Int. J. Geogr. Inf. Sci. 22, 1247–1269 (2008)CrossRef Liu, X., Li, X., Liu, L., He, J., Ai, B.: A bottom-up approach to discover transition rules of cellular automata using ant intelligence. Int. J. Geogr. Inf. Sci. 22, 1247–1269 (2008)CrossRef
17.
18.
Zurück zum Zitat Mitchell, M., Crutchfield, J.P., Das, R.: Evolving cellular automata with genetic algorithms: a review of recent work. In: Proceedings of the First International Conference on Evolutionary Computation and its Applications (EvCA’96) (1996) Mitchell, M., Crutchfield, J.P., Das, R.: Evolving cellular automata with genetic algorithms: a review of recent work. In: Proceedings of the First International Conference on Evolutionary Computation and its Applications (EvCA’96) (1996)
19.
Zurück zum Zitat Richards, F.C., Meyer, T.P., Packard, N.H.: Extracting cellular automaton rules directly from experimental data. Phys. D: Nonlinear Phenom. 45, 189–202 (1990)CrossRefMATH Richards, F.C., Meyer, T.P., Packard, N.H.: Extracting cellular automaton rules directly from experimental data. Phys. D: Nonlinear Phenom. 45, 189–202 (1990)CrossRefMATH
20.
Zurück zum Zitat Rosin, P.L.: Image processing using 3-state cellular automata. Comput. Vis. Image Underst. 114, 790–802 (2010)CrossRef Rosin, P.L.: Image processing using 3-state cellular automata. Comput. Vis. Image Underst. 114, 790–802 (2010)CrossRef
21.
Zurück zum Zitat Sapin, E., Bull, L., Adamatzky, A.: Genetic approaches to search for computing patterns in cellular automata. Comput. Intell. Mag. 4, 20–28 (2009)CrossRef Sapin, E., Bull, L., Adamatzky, A.: Genetic approaches to search for computing patterns in cellular automata. Comput. Intell. Mag. 4, 20–28 (2009)CrossRef
22.
Zurück zum Zitat Sapin, E., Bailleux, O., Chabrier, J.J.: Research of a cellular automaton simulating logic gates by evolutionary algorithms. In: Proceedings of the 6th European Conference on Genetic Programming, EuroGP’03, pp. 414–423. Springer, Berlin (2003) Sapin, E., Bailleux, O., Chabrier, J.J.: Research of a cellular automaton simulating logic gates by evolutionary algorithms. In: Proceedings of the 6th European Conference on Genetic Programming, EuroGP’03, pp. 414–423. Springer, Berlin (2003)
23.
Zurück zum Zitat Schönfisch, B., de Roos, A.: Synchronous and asynchronous updating in cellular automata. Biosyst. 51, 123–143 (1999)CrossRef Schönfisch, B., de Roos, A.: Synchronous and asynchronous updating in cellular automata. Biosyst. 51, 123–143 (1999)CrossRef
24.
Zurück zum Zitat Sun, X., Rosin, P.L., Martin, R.R.: Fast rule identification and neighborhood selection for cellular automata. IEEE Trans. Syst. Man Cybern. Part B: Cybern 41, 749–760 (2011)CrossRef Sun, X., Rosin, P.L., Martin, R.R.: Fast rule identification and neighborhood selection for cellular automata. IEEE Trans. Syst. Man Cybern. Part B: Cybern 41, 749–760 (2011)CrossRef
26.
Zurück zum Zitat Yang, Y., Billings, S.A.: Neighborhood detection and rule selection from cellular automata patterns. IEEE Trans. Syst. Man Cybern. Part A: Syst. Hum. 30, 840–847 (2000)CrossRef Yang, Y., Billings, S.A.: Neighborhood detection and rule selection from cellular automata patterns. IEEE Trans. Syst. Man Cybern. Part A: Syst. Hum. 30, 840–847 (2000)CrossRef
27.
Zurück zum Zitat Yang, Y., Billings, S.A.: Extracting Boolean rules from CA patterns. IEEE Trans. Syst. Man Cybern. Part B: Cybern. 30, 573–580 (2000)CrossRef Yang, Y., Billings, S.A.: Extracting Boolean rules from CA patterns. IEEE Trans. Syst. Man Cybern. Part B: Cybern. 30, 573–580 (2000)CrossRef
Metadaten
Titel
On the Identification of -Asynchronous Cellular Automata in the Case of Partial Observations with Spatially Separated Gaps
verfasst von
Witold Bołt
Barbara Wolnik
Jan M. Baetens
Bernard De Baets
Copyright-Jahr
2016
DOI
https://doi.org/10.1007/978-3-319-30165-5_2