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On Building a Memory Evolutive System for Application to Learning and Cognition Modeling

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Brain Inspired Cognitive Systems 2008

Abstract

We address here aspects of the implementation of a memory evolutive system (MES), based on the model proposed by A. Ehresmann and J. Vanbremeersch (2007), by means of a simulated network of spiking neurons with time dependent plasticity. We point out the advantages and challenges of applying category theory for the representation of cognition, by using the MES architecture. Then we discuss the issues concerning the minimum requirements that an artificial neural network (ANN) should fulfill in order that it would be capable of expressing the categories and mappings between them, underlying the MES. We conclude that a pulsed ANN based on Izhikevich’s formal neuron with STDP (spike time-dependent plasticity) has sufficient dynamical properties to achieve these requirements, provided it can cope with the topological requirements. Finally, we present some perspectives of future research concerning the proposed ANN topology.

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References

  1. Bargmann, C.I.: Neurobiology of the Caenorhabditis elegans Genome. Science 282 pp. 2020–2033. (1998)

    Article  Google Scholar 

  2. Chalfie, M., Sulston, J.E., White, J.C., Southgate, E. , Thomson , J.N. , Brenner, S.: The neural circuit for touch sensitivity in Caenorhabditis elegans. Journal of Neuroscience, 5, pp. 959–964. (1985)

    Google Scholar 

  3. Koch, C., Laurent, G.: Complexity and the Nervous System. Science Vol 284 - 2 April 1999 pp. 96–98. (1999)

    Google Scholar 

  4. Dayan, P., Abbott, L. F.: Theoretical Neuroscience: Computational and Mathematical Modeling of Neural Systems. The MIT Press - Cambridge, MA-USA; London, England. (2005)

    Google Scholar 

  5. Edelman, G.M.: The Remembered Present, Basic Books, New York. (1989)

    Google Scholar 

  6. Ehresmann, A., Vanbremeersch, J.P.: Multiplicity Principle and emergence in the Memory Evolutive System, Journal of Systems Analysis, Modelling, Simulation 26, pp.81–117. (1996)

    Google Scholar 

  7. Ehresmann, A., Vanbremeersch, J.P.: Memory Evolutive Systems - Hierarchy, Emergence, Cognition, Elsevier, Amsterdam. (2007)

    Google Scholar 

  8. Fingelkurts, A.A.: Mapping of Brain Operational Architectonics. In Chen,F.J. (ed.) Focus on Brain Mapping Research, pp. 59–98. Nova Science Publishers, Inc. (2006)

    Google Scholar 

  9. Freeman, W.J., Kozma, R., Werbos, P.J.: Biocomplexity: Adaptive behavior in complex stochastic dynamical systems. Biosystems, 59, 109–123. (2001)

    Article  PubMed  CAS  Google Scholar 

  10. Froemke, R.C., Dan, Y.: Spike-timing-dependent synaptic modification induced by natural spike trains. Nature 416, pp.433–438. (2002)

    Article  PubMed  CAS  Google Scholar 

  11. Gerstner,W., Kistler,W.: Spiking neuron models. Cambridge Univ. Press, Cambridge, England. (2002)

    Google Scholar 

  12. Goodman, D., Brette, R. 2008. Brian Neural Network Simulator. http://brian.di.ens.fr/ (2008)

  13. Hebb, D.O.: The Organization of Behaviour, Wiley, New York. (1949)

    Google Scholar 

  14. Healy, M.J.: Colimits in memory: category theory and neural systems. In Proceedings of the International Joint Conference on Neural Networks, IJCNN ’99 - Volume 1, pp. 492–496. (1999)

    Google Scholar 

  15. Healy, M.J., Caudell, T.P., Yunhai, X.: From categorical semantics to neural network design. In Proceedings of the International Joint Conference on Neural Networks, IJCNN’03 - Volume 3, pp.1981– 1986. (2003)

    Google Scholar 

  16. Izhikevich, E. M.: Simple Model of Spiking Neurons. IEEE Transactions on Neural Networks, 14 pp.1569–1572. (2003)

    Article  PubMed  CAS  Google Scholar 

  17. Izhikevich, E. M.: Which Model to Use for Cortical Spiking Neurons? IEEE Transactions on Neural Networks, 15:1063–1070. (2004)

    Article  PubMed  Google Scholar 

  18. Izhikevich, E. M.: Dynamical Systems in Neuroscience: The geometry of Excitability and Bursting. The MIT Press - Cambridge, MA-USA; London, England. (2007)

    Google Scholar 

  19. Izhikevich, E. M., Desai, N. S.: Relating STDP to BCM. Neural Computation 15 pp.1511–1523. (2003)

    Article  PubMed  Google Scholar 

  20. Izhikevich, E. M., Gally, J. A., Edelman, G. M.: Spike-timing Dynamics of Neuronal Groups. Cerebral Cortex, 14(8), pp. 933–944. (2004)

    Article  PubMed  Google Scholar 

  21. Jacob, V., Brasier, D. J. , Erchova, I. , Feldman, D. , Shulz, D. E.: Spike Timing-Dependent Synaptic Depression in the In Vivo Barrel Cortex of the Rat. The Journal of Neuroscience, 27(6) pp.1271–1284. (2007)

    Article  PubMed  CAS  Google Scholar 

  22. Kandel, E. R., Schwartz, J. H., Jessel, T. M.: Principles of Neural Science 4th edition. McGraw-Hill - New York. (2000)

    Google Scholar 

  23. Klein, J.: breve: a 3D simulation environment for the simulation of decentralized systems and artificial life. Proceedings of Artificial Life VIII, the 8th International Conference on the Simulation and Synthesis of Living Systems. The MIT Press. (2002)

    Google Scholar 

  24. Mac Lane, S.: Categories for the Working Mathematician. Springer, Berlin. (1971)

    Google Scholar 

  25. Maass, W.: Networks of Spiking Neurons: The Third Generation of Neural Network Models. Neural Networks, 10(9):1659–1671. (1997)

    Article  Google Scholar 

  26. Maass, W.: Computing with spiking neurons. In W. Maass and C. M. Bishop (eds.), Pulsed Neural Networks. MIT Press, Cambridge, Mass. (1999)

    Google Scholar 

  27. Markram, H., Lubke, L., Frotscher, M., Sakmann M.: Regulation of Synaptic Efficacy by Coincidence of Postsynaptic APs and EPSPs. Science 275, pp.213–215. (1997)

    Article  PubMed  CAS  Google Scholar 

  28. Maier, W., Miller, B.: A minimal model for the study of polychronous groups. arXiv:0806.1070v1 [cond-mat.dis-nn]. (2008)

    Google Scholar 

  29. Monteiro, J. L. R., Caillou, P., Netto, M. L.: An Agent Model Using Polychronous Networks (Extended Abstract). Proc. of 8th Int. Conf. on Autonomous Agents and Multiagent Systems (AAMAS 2009), Decker, Sichman, Sierra, and Castelfranchi (eds.), To appear in May, 10–15. Budapest, Hungary. (2009)

    Google Scholar 

  30. Paugam-Moisy, H., Martinez, R., Bengio, S.: Delay learning and polychronization for reservoir computing. Neurocomputing 71, pp.1143–1158. (2008)

    Article  Google Scholar 

  31. Purves, D. et al : Neuroscience / edited by Dale Purves [et al.] - 3rd ed. Sinauer Associates, Inc. Publishers. Sunderland, Massachusetts, U.S.A. (2003)

    Google Scholar 

  32. Sturzl, W., Kempter, R., van Hemmen, J.L.: Theory of arachnoid prey localization. Physical Review Letters 84, 24, pp.5668–5671. (2000)

    Google Scholar 

  33. Turrigiano, G.G., Nelson S.B.: Homeostatic plasticity in the developing nervous system. Nature - Neuroscience, VOL 5 - February 2004 pp. 97–107. (2004)

    Google Scholar 

  34. White, J. G., Southgate, E., Thompson, J. N., Brenner, S.:. The structure of the nervous system of the nematode C. Elegans. Phil. Trans. R. Soc. London 314, pp. 1–340. (1986)

    Article  Google Scholar 

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Correspondence to Joao Eduardo Kogler .

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de Lima do Rego Monteiro, J., Kogler, J.E., Ribeiro, J.H.R., Netto, M.L. (2010). On Building a Memory Evolutive System for Application to Learning and Cognition Modeling. In: Hussain, A., Aleksander, I., Smith, L., Barros, A., Chrisley, R., Cutsuridis, V. (eds) Brain Inspired Cognitive Systems 2008. Advances in Experimental Medicine and Biology, vol 657. Springer, New York, NY. https://doi.org/10.1007/978-0-387-79100-5_2

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