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Eulerian Numbers Weigths in Distributed Computing Nets

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Computer Aided Systems Theory – EUROCAST 2015 (EUROCAST 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9520))

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Abstract

We explore the possibilities of Eulerian numbers to define weights in layered networks and model distributed computation at the level of neurons receptive fields. These networks are then compared to those defined by binomial coefficients (Newton filters). Their potential as structures for signals convergence, divergence and overlapping is also established.

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References

  1. Leibovic, K.N.: Principles of brain function: information processing in convergent and divergent pathways. In: Pichler, F., Trappl, R. (eds.) Progress in Cybernetics and Systems, vol. VI, pp. 91–99. Hemisphere, Washington, D.C. (1982)

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  2. Moreno-Díaz, A., de Blasio, G., Moreno-Díaz Jr. R.: Distributed, layered and reliable computing nets to represent neuronal receptive fields. Math. Biosci. Eng. 11(2), 343–361 (2014)

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  4. http://www.mathpages.com/home/kmath012/kmath012.htm

  5. Carlitz, L., Kurtz, D.C., Scoville, R., Stakelber, O.P.: Asymptotic properties of Eulerian numbers. Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 23(1), 47–54 (1972)

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Acknowledgments

This work has been supported, in part, by Spanish Ministry of Science projects MTM2011-28983-CO3-03 and MTM2014-56949-C3-2-R.

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Authors and Affiliations

  1. Instituto Universitario de Ciencias Y Tecnologías Cibernéticas, ULPGC, Las Palmas, Spain

    Gabriel de Blasio & Roberto Moreno-Díaz

  2. School of Computer Science, Madrid Technical University, Madrid, Spain

    Arminda Moreno-Díaz

Authors
  1. Gabriel de Blasio
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  2. Arminda Moreno-Díaz
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  3. Roberto Moreno-Díaz
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Corresponding author

Correspondence to Gabriel de Blasio .

Editor information

Editors and Affiliations

  1. de Gran Canaria, Universidad de las Palmas de Gran Canari, Las Palmas de Gran Canaria, Spain

    Roberto Moreno-Díaz

  2. Johannes Kepler University Linz, Linz, Austria

    Franz Pichler

  3. de Gran Canaria, Universidad de las Palmas de Gran Canari, Las Palmas de Gran Canaria, Spain

    Alexis Quesada-Arencibia

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© 2015 Springer International Publishing Switzerland

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de Blasio, G., Moreno-Díaz, A., Moreno-Díaz, R. (2015). Eulerian Numbers Weigths in Distributed Computing Nets. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2015. EUROCAST 2015. Lecture Notes in Computer Science(), vol 9520. Springer, Cham. https://doi.org/10.1007/978-3-319-27340-2_12

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  • DOI: https://doi.org/10.1007/978-3-319-27340-2_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-27339-6

  • Online ISBN: 978-3-319-27340-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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