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Modeling birdsong learning with a chaotic Elman network

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Abstract

Among passerines, Bengali finches are known to sing extremely complex courtship songs with three hierarchical structures: namely, the element, the chunk, and the syntax. In this work, we theoretically studied the mechanism of the song of Bengali finches in aides to provide a dynamic view of the development of birdsong learning. We first constructed a model of the Elman network with chaotic neurons that successfully learned the supervisor signal defined by a simple finite-state syntax. Second, we focused on the process of individual-specific increases in the complexity of song syntax. We propose a new learning algorithm to produce the intrinsic diversification of song syntax without a supervisor on the basis of the itinerant dynamics of chaotic neural networks and the Hebbian learning rule. The emergence of novel syntax modifying the acquired syntax is demonstrated.

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References

  1. K Okanoya (2002) Sexual display as a syntactical vehicle: the evolution of syntax in birdsong and human language through sexual selection A Wray (Eds) The transition to language Oxford University Press Oxford 46–63

    Google Scholar 

  2. K Okanoya (2003) From birdsong to human language (in Japanese) Iwanami Tokyo

    Google Scholar 

  3. Kawamura T, Okanoya K (2001) The variable N-gram as a model of the brain representation for the sequential behavior. Proceedings of International Congress of Neuroethology, p 398

  4. N Tinbergen (1963) ArticleTitleOn aims and methods of ethology Z Tierpsychol 20 410–433

    Google Scholar 

  5. K Okanoya T Yoneda (1995) ArticleTitlePhonetic development of avian species: analysis by an analogy with neural networks (in Japanese) Comp Physiol Biochem 12 3–13

    Google Scholar 

  6. CA Skarda WJ Freeman (1987) ArticleTitleHow brains make chaos in order to make sense of the world Behav Brain Sci 10 161–195 Occurrence Handle10.1017/S0140525X00047336

    Article  Google Scholar 

  7. K Aihara T Takabe T Toyoda (1990) ArticleTitleChaotic neural networks Phys Lett A 144 333–340 Occurrence Handle10.1016/0375-9601(90)90136-C Occurrence Handle1045128

    Article  MathSciNet  Google Scholar 

  8. JL Elman (1990) ArticleTitleFinding structure in time Cognitive Sci 14 179–211 Occurrence Handle10.1016/0364-0213(90)90002-E

    Article  Google Scholar 

  9. Servan-Schreiber D, Cleeremans A, McClelland JL (1988) Encoding sequential structure in simple recurrent networks. Technical Report CMU-CS-88-183, Carnegie Mellon University, Pittsburgh

  10. DE Rumelhart GE Hinton RJ Williams (1986) ArticleTitleLearning representations by back-propagating errors Nature 323 533–536 Occurrence Handle10.1038/323533a0

    Article  Google Scholar 

  11. H Kitajima T Yoshinaga K Aihara et al. (2003) ArticleTitleItinerant memory dynamics and global bifurcations in chaotic neural networks Chaos 13 1122–1132 Occurrence Handle10.1063/1.1601912 Occurrence Handle1080.37612 Occurrence Handle2004410

    Article  MATH  MathSciNet  Google Scholar 

  12. J Kuroiwa N Matsunami S Nara et al. (2004) ArticleTitleSensitive response of a chaotic wandering state to memory fragment inputs in a chaotic neural network model Int J Bifurcation Chaos 14 1413–1421 Occurrence Handle10.1142/S0218127404009867 Occurrence Handle1084.37509

    Article  MATH  Google Scholar 

  13. T Sameshima K Fukushima H Shibata et al. (2003) ArticleTitleLyapunov spectrum analysis for a chaotic transition phenomenon Europhys Lett 62 21–27 Occurrence Handle10.1209/epl/i2003-00358-9

    Article  Google Scholar 

  14. I Tsuda (1992) ArticleTitleDynamic link of memory: chaotic memory map in nonequilibrium neural networks Neural Networks 5 313–326 Occurrence Handle10.1016/S0893-6080(05)80029-2 Occurrence Handle1176639

    Article  MathSciNet  Google Scholar 

  15. S Amari (1998) ArticleTitleNatural gradient works efficiently in learning Neural Comput 10 251–276 Occurrence Handle10.1162/089976698300017746

    Article  Google Scholar 

  16. L Chen K Aihara (1995) ArticleTitleChaotic simulated annealing by a neural network model with transient chaos Neural Networks 8 915–930 Occurrence Handle10.1016/0893-6080(95)00033-V

    Article  Google Scholar 

  17. M Komuro K Aihara (2001) ArticleTitleHierarchical structure among invariant subspaces of chaotic neural networks Jpn J Indust Appl Math 18 335–357 Occurrence Handle0980.68097 Occurrence Handle10.1007/BF03168579 Occurrence Handle1842916

    Article  MATH  MathSciNet  Google Scholar 

  18. Sasahara K (2005) Evolution of complexity and diversity in simulated birdsong grammer. PhD Thesis, Department of General Systems Studies, Graduate School of Arts and Sciences, University of Tokyo

  19. H Fujii K Aihara I Tsuda (2004) ArticleTitleFunctional relevance of “excitatory” GABA actions in cortical interneurons: a dynamical systems approach J Integrative Neurosci 3 183–205 Occurrence Handle10.1142/S0219635204000506

    Article  Google Scholar 

Download references

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Correspondence to Masatoshi Funabashi.

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This work was presented in part at the 11th International Symposium on Artificial Life and Robotics, Oita, Japan, January 23–25, 2006

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Funabashi, M., Aihara, K. Modeling birdsong learning with a chaotic Elman network. Artif Life Robotics 11, 162–166 (2007). https://doi.org/10.1007/s10015-007-0422-3

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  • DOI: https://doi.org/10.1007/s10015-007-0422-3

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