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研究生: 王玉梅
Yu-Mei Wang
論文名稱: 收縮臨界網路
The Threshold Contraction Networks
指導教授: 施茂祥
Shih, Mau-Hsiang
學位類別: 碩士
Master
系所名稱: 數學系
Department of Mathematics
論文出版年: 2003
畢業學年度: 91
語文別: 英文
論文頁數: 12
中文關鍵詞: 全域穩定性問題臨界網路收縮權重矩陣臨界向量
英文關鍵詞: global asymptotic stability problem, threshold network, contraction, synaptic weight matrix, threshold vector
論文種類: 學術論文
相關次數: 點閱:140下載:1
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  • 一個關於臨界網路的全域穩定性問題在本文中將被探討.我們特徵化權重矩陣與臨界向量,使得臨界網路是收縮的.

    A global asymptotic stability problem concerning the threshold network is settled. We describe
    conditions on the synaptic weight matrix and the threshold vector such that the resulting threshold
    network is a contraction.

    1. Introduction ........................................ 1 2. The existence of the threshold contraction networks.. 1 3. The characterization of the threshold contraction networks ............................................... 4 4. Concluding remarks.................................. 10 References ..................................... .......12

    1. E. Goles, S. Martinez, Neural and Automata Networks : Dynamical Behavior and Applications,
    Kluwer Academic Publishers, Dordrecht, 1991.

    2. F. Fogelman-Soulie, Y. Robert, M. Tchuente, Automata Networks in Computer Science : Theory and Applications,
    Nonlinear Science Series, Manchester Univ. Press, 1987.

    3. F. Robert, Les Systemes Dynamiques Discrets, Mathematiques & Applications, Springer-Verlag, New York, 1995.

    4. F. Robert, Discrete Iterations : A Metric Study, Springer Series in Computational Mathmatics, Springer-Verlag, 1986.

    5. G. Weisbuch, S. Ryckebusch, Complex System Dynamics : An Introduction to Automata Networks,
    Santa Fe Institute, Studies in the Sciences of Complexity, Lecture Notes Vol II, Addison-Wesley
    Publishing Company, New York, 1991.

    6. J. Hertz, A. Krogh, R. G. Palmer, Introduction to The Theory of Neural Computation, Santa Fe Institute, Studies in the Sciences of Complexity, Lecture Notes Vol II, Addison-Wesley Publishing Company, New York, 1991.

    7. J. Gregg, Ones and Zeros : Understanding Boolean Algebra, Digital Circuits, and the Logic of Sets, IEEE press, 1998.

    8. M.-H. Shih, J.-L. Ho, Solution of the boolean Markus-Yamabe problem, Advances in Appl. Math 22, 60-102, 1999.

    9. M.-H. Shih, J.-L. Dong, A combinatorial analogue of the Jacobian problem, preprint.

    10. W. McCulloch and W. Pitts, A logical calculus of the ideas immanent in nervous activity, Bull. Math. Biophysics, 5 (1943), 115-133.

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