Abstract
Formal neural nets considered here are McCulloch-Pitts type with interactions of afferents, that is formal neurons capable of computing any logical function of the inputs.
The main problem considered by the CAST system is that of network synthesis from the state transition matrix of a net.
The system consists of three blocks: an input block, which accepts state transition matrix specification and provides the number of neurons and the logical functions to be performed by them.
A second block provides, from the function of each neuron, the corresponding neural diagram, including the interaction of afferents. This interaction can be optimized to maximum reliability against changes in threshold.
The third block generates the whole net including the effect of presynaptic and postsynaptic excitations and inhibitions.
The system allows for quick investigation on the effect of synaptic changes upon global behaviour (i.e. state transition matrix) when, for example, the network is subjected to learning changes in pre- and postsynapses.
Efferent interaction, which are necessary for arbitrary probabilistic nets, are not considered in the system, for the moment.
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References
Blum, M. (1961): "Properties of a Neuron With Many Inputs". In: Principles of Self Organization. (Von Forester and Zopf, Eds.) McMillan Pergamon. Oxford New York. PP. 95–119.
McCulloch, W.S. (1958): "Agatha Fiche: of Nervous Nets the Lucky Reckoners". Prooc. Symp. Held at the National Physical Laboratory, London. Vol. II, No. 10. PP. 613–625.
Monroy Benítez, J (1982): "Una Reformulación de la Teoría de Neuronas Formales". Tesis de licenciatura. Universidad Nacional Autónoma de México, Facultad de Ciencias.
Moreno-Díaz, R. (1980): "Teoría de Redes Neuronales". (Cibernética, Aspectos y tendencias Actuales). Real Academia de Ciencias Exactas, Físicas y Naturales.
Moreno-Díaz,R. McCulloch,W.S. (1969): "Circularities in Nets and the Concept of Functional Matrices". Biocybernetics of the Central Nervous System. Proctor L. (ed.) Ma U.S.A. Little and Brown.
Moreno-Díaz,R. McCulloch, W.S. (1968): "Redes Neuronales con Realimentación y Matrices Funcionales". Automática 1, 1.
Moreno-Díaz,R., Mira Mira,J., Roy Yarza,A. (1972): "Realización de Redes No-determinísticas". Automática 11, V.
Pichler, F (1988): "CAST-Finite State Machine II and CAST-Application Examples". Lectures in the University of the Las Palmas de G.C.
Von Neuman, J. (1956): "Probabilistic Logic and the Synthesis of Reliable Organisms from Unreliable Components". In: Automatic Studies. (Shannon and McCarthy eds.) Princenton University Press, New Jersey.
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© 1990 Springer-Verlag Berlin Heidelberg
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Suárez-Araujo, C.P., Moreno-Díaz, R. (1990). Bases of a cast system for formal neural nets. In: Pichler, F., Moreno-Diaz, R. (eds) Computer Aided Systems Theory — EUROCAST '89. EUROCAST 1989. Lecture Notes in Computer Science, vol 410. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-52215-8_21
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DOI: https://doi.org/10.1007/3-540-52215-8_21
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