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Spiking neural P systems with structural plasticity

Published: 01 November 2015 Publication History

Abstract

Spiking neural P (SNP) systems are a class of parallel, distributed, and nondeterministic computing models inspired by the spiking of biological neurons. In this work, the biological feature known as structural plasticity is introduced in the framework of SNP systems. Structural plasticity refers to synapse creation and deletion, thus changing the synapse graph. The "programming" therefore of a brain-like model, the SNP system with structural plasticity (SNPSP system), is based on how neurons connect to each other. SNPSP systems are also a partial answer to an open question on SNP systems with dynamism only for synapses. For both the accepting and generative modes, we prove that SNPSP systems are universal. Modifying SNPSP systems semantics, we introduce the spike saving mode and prove that universality is maintained. In saving mode, however, a deadlock state can arise, and we prove that reaching such a state is undecidable. Lastly, we provide one technique in order to use structural plasticity to solve a hard problem: a constant time, nondeterministic, and semi-uniform solution to the NP-complete problem Subset Sum.

References

[1]
Alhazov A, Freund R, Oswald M, Slavkovik M (2006) Extended spiking neural P systems. In: Hoogeboom HJ et al (eds) WMC 7, LNCS 4361, pp 123---134
[2]
Butz M, Wörgötter F, van Ooyen A (2009) Activity-dependent structural plasticity. Brain Res Rev 60:287---305
[3]
Cabarle FGC, Adorna H (2013) On structures and behaviors of spiking neural P systems and Petri nets. In: Csuhaj-Varjú E et al (eds) CMC 2012, LNCS 7762, pp 145---160
[4]
Cabarle FGC, Adorna H, Ibo N (2013) Spiking neural P systems with structural plasticity. In: ACMC2013, Chengdu, China, 4---7 Nov 2013
[5]
Cavaliere M, Ibarra O, Pă¿un G, Egecioglu O, Ionescu M, Woodworth S (2009) Asynchronous spiking neural P systems. Theor Comput Sci 410:2352---2364
[6]
García-Amau M, Pérez D, Rodríguez-Patón A, Sosík P (2009) Spiking neural P systems: stronger normal forms. Int J Unconv Comput 5(5):411---425
[7]
Gutiérrez-Naranjo MA, Pérez-Jiménez MJ (2009) Hebbian learning from spiking neural P systems view. In: Corne D et al (eds) WMC9, LNCS 5391, pp 217---230
[8]
Ibarra O, Pă¿un A, Pă¿un G, Rodríguez-Patón A, Sosík P, Woodworth S (2007) Normal forms for spiking neural P systems. Theor Comput Sci 372(2---3):196---217
[9]
Ionescu M, Pă¿un Gh, Yokomori T (2006) Spiking neural P systems. Fundam Inform 71(2,3):279---308
[10]
Iordache M (2006) Deadlock and liveness properties of Petri nets. Supervisory control of concurrent systems: a Petri net structural approach. Birkhäuser, Boston
[11]
Ishdorj T-O, Leporati A, Pan L, Zeng X, Zhang X (2010) Deterministic solutions to QSAT and Q3SAT by spiking neural P systems with pre-computed resources. Theor Comput Sci 411:2345---2358
[12]
Leporati A, Zandron C, Ferretti C, Mauri G (2007) Solving numerical NP-complete problems with spiking neural P systems. In: Eleftherakis et al (eds) WMC8 2007, LNCS 4860, pp 336---352
[13]
Leporati G, Mauri G, Zandron C, Pă¿un G, Pérez-Jiménez M (2009) Uniform solutions to SAT and subset sum by spiking neural P systems. Nat Comput 8:681---702
[14]
Minsky M (1967) Computation: finite and infinite machines. Prentice Hall, Englewood Cliffs
[15]
Pan L, Pă¿un G (2009) Spiking neural P systems with anti-spikes. J Comput Commun Control IV(3):273---282
[16]
Pan L, Pă¿un G (2010) Spiking neural P systems: an improved normal form. Theor Comput Sci 411(6):906---918
[17]
Pan L, Pă¿un Gh, Pérez-Jiménez MJ (2011) Spiking neural P systems with neuron division and budding. Sci China Inf Sci 54(8):1596---1607
[18]
Pan L, Wang J, Hoogeboom JH (2012) Spiking neural P systems with astrocytes. Neural Comput 24:805---825
[19]
Pă¿un Gh (1999) Computing with membranes. J Comput Syst Sci 61(1):108---143
[20]
Pă¿un Gh (2002) Membrane computing: an introduction. Springer, Berlin
[21]
Pă¿un Gh (2007) Spiking neural P systems with astrocyte-like control. J Univ Comput Sci 13(11):1707---1721
[22]
Pă¿un Gh, Pérez-Jiménez MJ, Rozenberg G (2007) Computing morphisms by spiking neural P systems. Int J Found Comput Sci 8(6):1371---1382
[23]
Pă¿un Gh, Pérez-Jiménez MJ (2009) Spiking neural P systems. Recent results, research topics. In: Condon A et al (eds) Algorithmic bioprocesses. Springer, Berlin
[24]
Pă¿un Gh, Rozenberg G, Salomaa A (eds) (2010) The Oxford handbook of membrane computing. OUP, Oxford
[25]
Song T, Pan L, Pă¿un G (2013) Asynchronous spiking neural P systems with local synchronization. Inf Sci 219:197---207
[26]
Song T, Pan L, Pă¿un G (2014) Spiking neural P systems with rules on synapses. Theor Comput Sci 529(10):82---95
[27]
Turing A (2004) Intelligent machinery. In: Copeland B (ed) Essential turing: seminal writings in computing, logic, philosophy, artificial intelligence, and artificial life: plus the secrets of enigma. OUP, Oxford
[28]
Wang J, Hoogeboom HJ, Pan L (2010) Spiking neural P systems with neuron division. In: Gheorghe M et al (eds) CMC 2010, LNCS 6501, pp 361---376
[29]
Zhang X, Shuo W, Yunyun N, Linqiang P (2011) Tissue P systems with cell separation: attacking the partition problem. Sci China Inf Sci 54(2):293---304
[30]
Zhang X, Zeng X, Luo B, Zhang Z (2012) A uniform solution to the independent set problem through tissue P systems with cell separation. Front Comput Sci 6(4):477---488

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Published In

cover image Neural Computing and Applications
Neural Computing and Applications  Volume 26, Issue 8
November 2015
250 pages
ISSN:0941-0643
EISSN:1433-3058
Issue’s Table of Contents

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Springer-Verlag

Berlin, Heidelberg

Publication History

Published: 01 November 2015

Author Tags

  1. Computational universality
  2. Deadlock
  3. Membrane computing
  4. Spiking neural P systems
  5. Structural plasticity
  6. Subset Sum
  7. Undecidability

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