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    政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 >  Item 140.119/129986
    Please use this identifier to cite or link to this item: http://nccur.lib.nccu.edu.tw/handle/140.119/129986


    Title: Solution Structure of Multi-layer Neural Networks with Initial Condition
    Authors: 班榮超
    Ban, Jung-Chao
    Chang, Chih-Hung
    Contributors: 應數系
    Keywords: Initial value problem;Cellular neural networks;Sofic shift;Path set
    Date: 2016-03
    Issue Date: 2020-05-27 09:02:17 (UTC+8)
    Abstract: This paper studies the initial value problem of multi-layer cellular neural networks. We demonstrate that the mosaic solutions of such system is topologically conjugated to a new class in symbolic dynamical systems called the path set (Abram and Lagarias in Adv Appl Math 56:109–134, 2014). The topological entropies of the solution, output, and hidden spaces of a multi-layer cellular neural network with initial condition are formulated explicitly. Also, a sufficient condition for whether the mosaic solution space of a multi-layer cellular neural network is independent of initial conditions is addressed. Furthermore, two spaces exhibit identical topological entropy if and only if they are finitely equivalent.
    Relation: Journal of Dynamics and Differential Equations, Vol.28, No.1, pp.69-92
    Data Type: article
    DOI 連結: https://doi.org/10.1007/s10884-015-9471-9
    DOI: 10.1007/s10884-015-9471-9
    Appears in Collections:[應用數學系] 期刊論文

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