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Scalability of Non-uniform Cellular Automata Having only Point State Attractors

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Cellular Automata (ACRI 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9863))

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Abstract

In this paper, the concept of scalable non-uniform cellular automata (CAs) is discussed. The scalability of CA refers to its ability to accommodate more number of cells keeping the CA’s dynamic behaviour unchanged. That is, a CA with n cell, converges to point state attractor from any seed also converges to point state attractor when another few cells are added. Using scalability of CA, a CA based scalable pattern classifier is introduced.

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Notes

  1. 1.

    A rule \(\mathcal {R}\) is said to be right independent rule, if each sibling pairs of RMTs rs have same next state value either 0 or 1 that is \(\mathcal {R}[r]\) = \(\mathcal {R}[s]\).

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Correspondence to Nazma Naskar .

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Naskar, N., Das, S. (2016). Scalability of Non-uniform Cellular Automata Having only Point State Attractors. In: El Yacoubi, S., Wąs, J., Bandini, S. (eds) Cellular Automata. ACRI 2016. Lecture Notes in Computer Science(), vol 9863. Springer, Cham. https://doi.org/10.1007/978-3-319-44365-2_6

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  • DOI: https://doi.org/10.1007/978-3-319-44365-2_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-44364-5

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