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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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  3. Moreno-Díaz Jr., R.: Computación paralela y distribuida: relaciones estructura-función en retinas. Ph.D thesis, Universidad de Las Palmas de Gran Canaria (1993)

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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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Correspondence to Gabriel de Blasio .

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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

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