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研究生:林慶達
研究生(外文):Ching-Dar Lin
論文名稱:連結與動力函數
論文名稱(外文):Connect and Dynamic Equation
指導教授:施茂祥
指導教授(外文):Mau-Hsiang Shih
學位類別:碩士
校院名稱:國立臺灣師範大學
系所名稱:數學研究所
學門:數學及統計學門
學類:數學學類
論文種類:學術論文
論文出版年:2003
畢業學年度:91
語文別:英文
論文頁數:18
中文關鍵詞:類神經網路神經網路
外文關鍵詞:dynamicneuron network
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利用訊號連接的想法,重新分析關聯記憶的一種動力函數.原有的記憶訊息為了回覆記憶,採用Hebb的規則形成權值矩陣這些記憶訊息在分類後形成數個網路,而這些網路的結構就決定了動力函數的疊代收斂行為.我們可以知道這個動力函數回覆記憶的極限與限制.最後為了連結網路而產生更強大的網路,我們再增加一個新的記憶訊息來連結它們.

The Content-Addressable Memory Problem is one of the most famous in neural nets. This problem is recently settled by Shih-Tsai. In this thesis, we introduce the notion of the connection and give a different approach to some of results obtained in Shih-Tsai. We shall show that the nets will govern the fixed points base, the transient length, and the behavior of the dynamic equation.

INTRODUCTION.....p1
THE CONNECTION OF DIGITAL SIGNALS.....p4
THE BEHAVIOR OF THE DYNAMIC EQUATION.....p6
CONNECT THE Nets.....p16
REFERENCES.....p18

[1] Konstantinos I. Diamantaras (2002), Neural Networks and Principal Component Analysis, CRC Press LLC.
[2] Yu Hen Hu and Jenq-Neng Hwang (2002), Introduction to Neural Networks for Signal Processing, CRC Press LLC.
[3] Hopfield, J. J. (1982), Neural networks and physical systems with emergent collective computational abilities, Proc Natl Acad Sci USA, vol 79, 2554-2558.
[4] Anil K. Jain, Jianchang Mao and K.M. Mohiuddin (1996), Artificial Neural Networks: A Tutorial. Computer, Mar.1996: 31-44.
[5] MemoryYves Kamp and Martin Hasler (1990), Recursive Neural Networks for Associative, John Wiley & Sons.
[6] Ben Kröse and Patrick van der Smagt (1996), An introduction to Neural Networks, Amsterdam University Press.
[7] Nikola K. Kasabov (1996), Foundations of Neural Networks, Fussy Systems, and Knowledge Engineering, Massachusetts Institute of Technology.
[8] Jose C. Principe (2000), Artificial Neural Networks, CRC Press LLC.
[9] Jose C. Principe (2002), Dynamic Neural Networks and Optimal Signal Processing, CRC Press LLC.
[10] M.-H. Shih and F.S. Tsai (2003), Content-addressable memory problem.
[11] McCulloch, W. and Pitts, W. (1943), A logical calculus of the ideas immanent in nervous activity, Bull Math Biophys 5:115-133.
[12] Gérard Weisbuch (1991), Complex Systems Dynamics, Addison-Wesley Publishing Company.

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