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The Critical Dynamics in Neural Network Improve the Computational Capability of Liquid State Machines

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Advances in Neural Networks - ISNN 2017 (ISNN 2017)

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Abstract

In recent years, increasing studies have shown that the networks in the brain can reach a critical state where dynamics exhibit a mixture of synchronous and asynchronous firing activity. It has been hypothesized that the homeostatic level balanced between stability and plasticity of this critical state may be the optimal state for performing diverse neural computational tasks. Motivated by this, the role of critical state in neural computation based on liquid state machines (LSM), which is one of the neural network application model of liquid computing, has been investigated in this note. Different from a randomly connect structure in liquid component of LSM in most studies, the synaptic weights among neurons in proposed liquid are refined by spike-timing-dependent plasticity (STDP); meanwhile, the degrees of neurons excitability are regulated to maintain a low average activity level by Intrinsic Plasticity (IP). The results have shown that the network yield maximal computational performance when subjected to critical dynamical states.

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References

  1. Beggs, J.M., Plenz, D.: Neuronal avalanches in neocortical circuits. J. Neurosci. Off. J. Soc. Neurosci. 23(35), 11167–11177 (2003)

    Google Scholar 

  2. Chialvo, D.R.: Critical brain networks. Phys. A Stat. Mech. Appl. 340(4), 756–765 (2004)

    Article  Google Scholar 

  3. De, A.L., Perronecapano, C., Herrmann, H.J.: Self-organized criticality model for brain plasticity. Phys. Rev. Lett. 96(2), 028107 (2006)

    Article  Google Scholar 

  4. Beggs, J.M., Plenz, D.: Neuronal avalanches are diverse and precise activity patterns that are stable for many hours in cortical slice cultures. J. Neurosci. Off. J. Soc. Neurosci. 24(22), 5216–5229 (2004)

    Article  Google Scholar 

  5. Haldeman, C., Beggs, J.M.: Critical branching captures activity in living neural networks and maximizes the number of metastable states. Phys. Rev. Lett. 94(5), 058101 (2005)

    Article  Google Scholar 

  6. Kinouchi, O., Copelli, M.: Optimal dynamical range of excitable networks at criticality. Nat. Phys. 2(5), 348–351 (2006)

    Article  Google Scholar 

  7. Goh, K.I., Lee, D.S., Kahng, B., Kim, D.: Sandpile on scale-free networks. Phys. Rev. Lett. 91(14), 148701 (2003)

    Article  Google Scholar 

  8. Pasquale, V., Massobrio, P., Bologna, L.L., Chiappalone, M., Martinoia, S.: Self-organization and neuronal avalanches in networks of dissociated cortical neurons. Neuroscience 153(4), 1354–1369 (2008)

    Article  Google Scholar 

  9. Lin, M., Chen, T.: Self-organized criticality in a simple model of neurons based on small-world networks. Phys. Rev. E 71(1), 016133 (2005)

    Article  Google Scholar 

  10. Pajevic, S., Plenz, D.: Efficient network reconstruction from dynamical cascades identifies small-world topology of neuronal avalanches. PLoS Comput. Biol. 5(1), e1000271 (2009)

    Article  MathSciNet  Google Scholar 

  11. Wang, S.J., Zhou, C.: Hierarchical modular structure enhances the robustness of self-organized criticality in neural networks. New J. Phys. 14(2), 023005 (2012)

    Article  Google Scholar 

  12. Wang, S.J., Hilgetag, C., Zhou, C.: Sustained activity in hierarchical modular neural networks: self-organized criticality and oscillations. Front. Comput. Neurosci. 5, 30 (2011)

    Google Scholar 

  13. Natschläger, T., Maass, W., Markram, H.: The “liquid computer”: a novel strategy for real-time computing on time series. In: Special issue on Foundations of Information Processing of TELEMATIK, vol. 8 (LNMC-ARTICLE-2002-005), pp. 39–43 (2002)

    Google Scholar 

  14. Markram, H., Lübke, J., Frotscher, M., Sakmann, B.: Regulation of synaptic efficacy by coincidence of postsynaptic APs and EPSPs. Science 275(5297), 213–215 (1997)

    Article  Google Scholar 

  15. Xue, F., Hou, Z., Li, X.: Computational capability of liquid state machines with spike-timing-dependent plasticity. Neurocomputing 122, 324–329 (2013)

    Article  Google Scholar 

  16. Li, X., Small, M.: Enhancement of signal sensitivity in a heterogeneous neural network refined from synaptic plasticity. New J. Phys. 12(8), 083045 (2010)

    Article  Google Scholar 

  17. Daoudal, G., Debanne, D.: Long-term plasticity of intrinsic excitability: learning rules and mechanisms. Learn. Mem. 10(6), 456–465 (2003)

    Article  Google Scholar 

  18. Marder, E., Abbott, L.F., Turrigiano, G.G., Liu, Z., Golowasch, J.: Memory from the dynamics of intrinsic membrane currents. Proc. Nat. Acad. Sci. 93(24), 13481–13486 (1996)

    Article  Google Scholar 

  19. Triesch, J.: Synergies between intrinsic and synaptic plasticity in individual model neurons. In: NIPS, pp. 1417–1424 (2004)

    Google Scholar 

  20. Maass, W., Joshi, P., Sontag, E.D.: Computational aspects of feedback in neural circuits. PLoS Comput. Biol. 3(1), e165 (2007)

    Article  MathSciNet  Google Scholar 

  21. Izhikevich, E.M.: Simple model of spiking neurons. IEEE Trans. Neural Netw. 14(6), 1569–1572 (2003)

    Article  MathSciNet  Google Scholar 

  22. Shew, W.L., Yang, H., Yu, S., Roy, R., Plenz, D.: Information capacity and transmission are maximized in balanced cortical networks with neuronal avalanches. J. Neurosci. 31(1), 55–63 (2011)

    Article  Google Scholar 

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (Nos. 61473051 and 61304165).

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Correspondence to Hongjun Zhou .

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Li, X., Chen, Q., Xue, F., Zhou, H. (2017). The Critical Dynamics in Neural Network Improve the Computational Capability of Liquid State Machines. In: Cong, F., Leung, A., Wei, Q. (eds) Advances in Neural Networks - ISNN 2017. ISNN 2017. Lecture Notes in Computer Science(), vol 10261. Springer, Cham. https://doi.org/10.1007/978-3-319-59072-1_47

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  • DOI: https://doi.org/10.1007/978-3-319-59072-1_47

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-59071-4

  • Online ISBN: 978-3-319-59072-1

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