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2016 | OriginalPaper | Chapter

Halting Physarum Machines Based on Compressibility

Authors : Andrew Adamatzky, Jeff Jones

Published in: Advances in Physarum Machines

Publisher: Springer International Publishing

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Abstract

Being a living substrate the slime mould does not halt its behaviour when a task is solved but often continues foraging the space thus masking the solution found. We propose to use temporal changes in compressibility of the slime mould patterns as indicators of the halting of the computation. Compressibility of a pattern characterises the pattern’s morphological diversity, i.e. a number of different local configurations. At the beginning of computation the slime explores the space thus generating less compressible patterns. After gradients of attractants and repellents are detected the slime spans data sites with its protoplasmic network and retracts scouting branches, thus generating more compressible patterns. We analyse the feasibility of the approach on results of laboratory experiments and computer modelling.

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Literature
1.
go back to reference Aboy, M., Hornero, R., Abásolo, D., Álvarez, D.: Interpretation of the Lempel-Ziv complexity measure in the context of biomedical signal analysis. IEEE Trans. Biomed. Eng. 53(11), 2282–2288 (2006)CrossRef Aboy, M., Hornero, R., Abásolo, D., Álvarez, D.: Interpretation of the Lempel-Ziv complexity measure in the context of biomedical signal analysis. IEEE Trans. Biomed. Eng. 53(11), 2282–2288 (2006)CrossRef
2.
go back to reference Adamatzky, A.: Physarum machines: encapsulating reaction-diffusion to compute spanning tree. Naturwissenschaften 94(12), 975–980 (2007)CrossRef Adamatzky, A.: Physarum machines: encapsulating reaction-diffusion to compute spanning tree. Naturwissenschaften 94(12), 975–980 (2007)CrossRef
3.
go back to reference Adamatzky, A.: Physarum Machines: Computers from Slime Mould, vol. 74. World Scientific (2010) Adamatzky, A.: Physarum Machines: Computers from Slime Mould, vol. 74. World Scientific (2010)
4.
go back to reference Adamatzky, A.: On diversity of configurations generated by excitable cellular automata with dynamical excitation intervals. Int. J. Mod. Phys. C 23(12) (2012) Adamatzky, A.: On diversity of configurations generated by excitable cellular automata with dynamical excitation intervals. Int. J. Mod. Phys. C 23(12) (2012)
5.
go back to reference Adamatzky, A.: Slime mold solves maze in one pass, assisted by gradient of chemo-attractants. IEEE Trans. NanoBiosci. 11(2), 131–134 (2012)CrossRef Adamatzky, A.: Slime mold solves maze in one pass, assisted by gradient of chemo-attractants. IEEE Trans. NanoBiosci. 11(2), 131–134 (2012)CrossRef
6.
go back to reference Adamatzky, A.: The world’s colonization and trade routes formation as imitated by slime mould. Int. J. Bifurcat. Chaos 22(08) (2012) Adamatzky, A.: The world’s colonization and trade routes formation as imitated by slime mould. Int. J. Bifurcat. Chaos 22(08) (2012)
7.
go back to reference Adamatzky, A., Chua, L.O.: Phenomenology of retained refractoriness: on semi-memristive discrete media. Int. J. Bifurcat. Chaos 22(11) (2012) Adamatzky, A., Chua, L.O.: Phenomenology of retained refractoriness: on semi-memristive discrete media. Int. J. Bifurcat. Chaos 22(11) (2012)
8.
go back to reference Adamatzky, A., Martinez, G.J.: On generative morphological diversity of elementary cellular automata. Kybernetes 39(1), 72–82 (2010) Adamatzky, A., Martinez, G.J.: On generative morphological diversity of elementary cellular automata. Kybernetes 39(1), 72–82 (2010)
9.
go back to reference Al-Bahadili, H., Rababa’a, A.: A bit-level text compression scheme based on the HCDC algorithm. Int. J. Comput. Appl. 32(3), 355 (2010) Al-Bahadili, H., Rababa’a, A.: A bit-level text compression scheme based on the HCDC algorithm. Int. J. Comput. Appl. 32(3), 355 (2010)
10.
go back to reference Amigó, J.M., Szczepański, J., Wajnryb, E., Sanchez-Vives, M.V.: Estimating the entropy rate of spike trains via Lempel-Ziv complexity. Neural Comput. 16(4), 717–736 (2004) Amigó, J.M., Szczepański, J., Wajnryb, E., Sanchez-Vives, M.V.: Estimating the entropy rate of spike trains via Lempel-Ziv complexity. Neural Comput. 16(4), 717–736 (2004)
11.
go back to reference Bhattacharya, J., et al.: Complexity analysis of spontaneous EEG. Acta Neurobiol. Exp. 60(4), 495–502 (2000) Bhattacharya, J., et al.: Complexity analysis of spontaneous EEG. Acta Neurobiol. Exp. 60(4), 495–502 (2000)
12.
go back to reference Feldman, D.P., Crutchfield, J.: A Survey of Complexity Measures, vol. 11. Santa Fe Institute, USA (1998) Feldman, D.P., Crutchfield, J.: A Survey of Complexity Measures, vol. 11. Santa Fe Institute, USA (1998)
13.
go back to reference Jones, J.: Characteristics of pattern formation and evolution in approximations of Physarum transport networks. Artif. Life 16(2), 127–153 (2010)CrossRef Jones, J.: Characteristics of pattern formation and evolution in approximations of Physarum transport networks. Artif. Life 16(2), 127–153 (2010)CrossRef
14.
go back to reference Jones, J.: The emergence and dynamical evolution of complex transport networks from simple low-level behaviours. Int. J. Unconventional Comput. 6, 125–144 (2010) Jones, J.: The emergence and dynamical evolution of complex transport networks from simple low-level behaviours. Int. J. Unconventional Comput. 6, 125–144 (2010)
15.
go back to reference Jones, J.: From Pattern Formation to Material Computation: Multi-agent Modelling of Physarum Polycephalum. Springer, in-press (2015) Jones, J.: From Pattern Formation to Material Computation: Multi-agent Modelling of Physarum Polycephalum. Springer, in-press (2015)
16.
go back to reference Jones, J., Adamatzky, A.: Slime mould inspired generalised Voronoi diagrams with repulsive fields. Int. J. Bifurcat. Chaos (2013) (In-Press) Jones, J., Adamatzky, A.: Slime mould inspired generalised Voronoi diagrams with repulsive fields. Int. J. Bifurcat. Chaos (2013) (In-Press)
17.
go back to reference Khalatur, P.G., Novikov, V.V., Khokhlov, A.R.: Conformation-dependent evolution of copolymer sequences. Phys. Rev. E 67(5):051901 (2003) Khalatur, P.G., Novikov, V.V., Khokhlov, A.R.: Conformation-dependent evolution of copolymer sequences. Phys. Rev. E 67(5):051901 (2003)
18.
go back to reference Matsumoto, T., Sadakane, K., Imai, H., Okazaki, T.: Can general-purpose compression schemes really compress DNA sequences. Currents Comput. Mol. Biol. 76–77 (2000) Matsumoto, T., Sadakane, K., Imai, H., Okazaki, T.: Can general-purpose compression schemes really compress DNA sequences. Currents Comput. Mol. Biol. 76–77 (2000)
19.
go back to reference Nešetřil, J., Milková, E., Nešetřilová, H.: Otakar Boruvka on minimum spanning tree problem translation of both the 1926 papers, comments, history. Discrete Math. 233(1), 3–36 (2001)MathSciNetMATH Nešetřil, J., Milková, E., Nešetřilová, H.: Otakar Boruvka on minimum spanning tree problem translation of both the 1926 papers, comments, history. Discrete Math. 233(1), 3–36 (2001)MathSciNetMATH
21.
go back to reference Ninagawa, S., Adamatzky, A.: Classifying elementary cellular automata using compressibility, diversity and sensitivity measures. Int. J. Mod. Phys. C 25(03) (2014) Ninagawa, S., Adamatzky, A.: Classifying elementary cellular automata using compressibility, diversity and sensitivity measures. Int. J. Mod. Phys. C 25(03) (2014)
22.
go back to reference Ninagawa, S., Martinez, G.J.: Compression-based analysis of cyclic tag system emulated by Rule 110. J. Cell. Automata 9(1):23–35 (2014) Ninagawa, S., Martinez, G.J.: Compression-based analysis of cyclic tag system emulated by Rule 110. J. Cell. Automata 9(1):23–35 (2014)
23.
go back to reference Orlov, Y.L., Potapov, V.N.: Complexity: an internet resource for analysis of DNA sequence complexity. Nucleic Acids Res. 32(suppl 2), W628–W633 (2004) Orlov, Y.L., Potapov, V.N.: Complexity: an internet resource for analysis of DNA sequence complexity. Nucleic Acids Res. 32(suppl 2), W628–W633 (2004)
24.
go back to reference Preparata, F.P., Shamos, M.L.: Computational Geometry, An introduction. Springer, New York (1985) Preparata, F.P., Shamos, M.L.: Computational Geometry, An introduction. Springer, New York (1985)
25.
go back to reference Redeker, M., Adamatzky, A., Martínez, G.J.: Expressiveness of elementary cellular automata. Int. J. Mod. Phys. C 24(03) (2013) Redeker, M., Adamatzky, A., Martínez, G.J.: Expressiveness of elementary cellular automata. Int. J. Mod. Phys. C 24(03) (2013)
26.
go back to reference Ziv, J., Lempel, A.: Compression of individual sequences via variable-rate coding. IEEE Trans. Inform. Theory 24(5), 530–536 (1978)MathSciNetCrossRefMATH Ziv, J., Lempel, A.: Compression of individual sequences via variable-rate coding. IEEE Trans. Inform. Theory 24(5), 530–536 (1978)MathSciNetCrossRefMATH
Metadata
Title
Halting Physarum Machines Based on Compressibility
Authors
Andrew Adamatzky
Jeff Jones
Copyright Year
2016
DOI
https://doi.org/10.1007/978-3-319-26662-6_31

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