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Encoding the Temporal Statistics of Markovian Sequences of Stimuli in Recurrent Neuronal Networks

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Artificial Neural Networks — ICANN 2002 (ICANN 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2415))

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Abstract

Encoding, storing, and recalling a temporal sequence of stimuli in a neuronal network can be achieved by creating associations between pairs of stimuli that are contiguous in time. This idea is illustrated by studying the behavior of a neural network model with binary neurons and binary stochastic synapses. The network extracts in an unsupervised manner the temporal statistics of the sequence of input stimuli. When a stimulus triggers the recalling process, the statistics of the output patterns reflects those of the input. If the sequence of stimuli is generated through a Markov process, then the network dynamics faithfully reproduces all the transition probabilities.

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References

  1. D. Kleinfeld and H. Sompolinsky. Associative neural network model for the generation of temporal Patterns. Biophysical Journal, 54:1039–1051, 1988.

    Article  Google Scholar 

  2. J. Buhmann and K. Schulten. Noise-driven temporal association in neural networks. Europhysics Letters, 4(10):1205–1209, 1987.

    Article  Google Scholar 

  3. M. Griniasty, M. V. Tsodyks, and D. J. Amit. Conversion of temporal correlations between stimuli to spatial correlations between attractors. Neural Computation, 5:1–17, 1993.

    Article  Google Scholar 

  4. Y. Miyashita. Neuronal correlate of visual associative long-term memory in the primate temporal cortex. Nature, 335(6193):817–820, October 1988.

    Google Scholar 

  5. V. Yakovlev, S. Pusi, E. Berman, and E. Zohary. Inter-trial neuronal activity in inferior temporal cortex: a putative vehicle to generate long-term visual associations. Nature neuroscience, 1(4):310–317, August 1998.

    Google Scholar 

  6. N. Brunel. Hebbian learning of context in recurrent neural network. Neural Com-putution, 8:1677–1710, 1996.

    Article  Google Scholar 

  7. D. J. Amit. Modeling Bruin Function. Cambridge University Press, New York, 1989.

    Google Scholar 

  8. D. J. Amit and S. Fusi. Learning in neural networks with material synapses. Computation, 6:957–982, 1994.

    Google Scholar 

  9. N. Brunel, F. Carusi, and S. Fusi. Slow stochastic hebbian learning of classes of Stimuli in a recurrent neural network. Network, 9:123–152, 1998.

    Article  MATH  Google Scholar 

  10. P. L. Meyer. Introductory probability and statistical applications. Addison-Wesley, Reading, MA, 1965.

    Google Scholar 

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© 2002 Springer-Verlag Berlin Heidelberg

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Viretta, A.U., Fusi, S., Liu, SC. (2002). Encoding the Temporal Statistics of Markovian Sequences of Stimuli in Recurrent Neuronal Networks. In: Dorronsoro, J.R. (eds) Artificial Neural Networks — ICANN 2002. ICANN 2002. Lecture Notes in Computer Science, vol 2415. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46084-5_34

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  • DOI: https://doi.org/10.1007/3-540-46084-5_34

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44074-1

  • Online ISBN: 978-3-540-46084-8

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