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Part of the book series: Advances in Soft Computing ((AINSC,volume 53))

Abstract

Recent binary signal detection theory (BSDT) employs a ’replacing’ binary noise (RBN). In this paper it has been demonstrated that RBN generates some related N-dimensional discrete vector spaces, transforming to each other under different network synchrony conditions and serving 2-, 3-, and 4-valued neurons. These transformations explain optimal BSDT coding/decoding rules and provide a common mathematical framework, for some competing types of signal coding in neurosciences. Results demonstrate insufficiency of almost ubiquitous binary codes and, in complex cases, the need of multi-valued ones.

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References

  1. Averbeck, B.B., Latham, P.E., Pouget, A.: Neural Correlations, Population Coding and Computation. Nat. Rev. Neurosci. 7, 358–366 (2006)

    Article  Google Scholar 

  2. Gopych, P.M.: Generalization by Computation through Memory. Int. J. Inf. Theo. Appl. 13, 145–157 (2006)

    Google Scholar 

  3. Gopych, P.M.: Foundations of the Neural Network Assembly Memory Model. In: Shannon, S. (ed.) Leading Edge Computer Sciences, pp. 21–84. Nova Science, New York (2006)

    Google Scholar 

  4. Gopych, P.M.: Minimal BSDT Abstract Selectional Machines and Their Selectional and Computational Performance. In: Yin, H., Tino, P., Corchado, E., Byrne, W., Yao, X. (eds.) IDEAL 2007. LNCS, vol. 4881, pp. 198–208. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  5. Kanerva, P.: Sparse Distributed Memory. MIT Press, Cambridge (1988)

    MATH  Google Scholar 

  6. Olshausen, B.A., Field, D.J.: Sparse Coding of Sensory Inputs. Curr. Opin. Neurobiol. 14, 481–487 (2004)

    Article  Google Scholar 

  7. Engel, A.K., Singer, W.: Temporal Binding and the Neural Correlates of Sensory Awareness. Trends Cog. Sci. 5, 16–21 (2001)

    Article  Google Scholar 

  8. de Charms, C.R., Zador, A.: Neural Representations and the Cortical Code. Ann. Rev. Neurosci. 23, 613–647 (2000)

    Article  Google Scholar 

  9. Tiesinga, P., Fellous, J.-M., Sejnowski, T.J.: Regulation of Spike Timing in Visual Cortical Circuits. Nat. Rev. Neurosci. 9, 97–109 (2008)

    Article  Google Scholar 

  10. Buzáki, G., Draghun, A.: Neuronal Oscillations in Cortical Networks. Science 304, 1926–1929 (2004)

    Article  Google Scholar 

  11. Johansson, R.S., Birznieks, I.: First Spikes in Ensemble of Human Tactile Afferents Code Complex Spatial Fingertip Events. Nat. Neurosci. 7, 170–177 (2004)

    Article  Google Scholar 

  12. Jacobs, J., Kahana, M.J., Ekstrom, A.D., Fried, I.: Brain Oscillations Control Timing of Single-Neuron Activity in Humans. J. Neurosci. 27, 3839–3844 (2007)

    Article  Google Scholar 

  13. Varela, F., Lachaux, J.-P., Rodriguez, E., Martinerie, J.: The Brainweb: Phase Synchronization and Large-Scale Integration. Nat. Rev. Neurosci. 2, 229–239 (2001)

    Article  Google Scholar 

  14. Sporns, O., Chialvo, D.R., Kaiser, M., Hilgetag, C.C.: Organization, Development and Function of Complex Brain Networks. Trends Cog. Sci. 8, 418–425 (2004)

    Article  Google Scholar 

  15. Werner, G.: Perspectives on the Neuroscience of Cognition and Consciousness. BioSystems 87, 82–95 (2007)

    Article  Google Scholar 

  16. Fox, M.D., Raichle, M.E.: Spontaneous Fluctuations in Brain Activity Observed with Functional Magnetic Resonance Imaging. Nat. Rev. Neurosci. 8, 700–711 (2007)

    Article  Google Scholar 

  17. Lennie, P.: The Cost of Cortical Computation. Curr. Biology 13, 493–497 (2003)

    Article  Google Scholar 

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Gopych, P. (2009). BSDT Multi-valued Coding in Discrete Spaces. In: Corchado, E., Zunino, R., Gastaldo, P., Herrero, Á. (eds) Proceedings of the International Workshop on Computational Intelligence in Security for Information Systems CISIS’08. Advances in Soft Computing, vol 53. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88181-0_33

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  • DOI: https://doi.org/10.1007/978-3-540-88181-0_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-88180-3

  • Online ISBN: 978-3-540-88181-0

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