초록

순환결합형 신경회로망은 복수 개의 리미트사이클을 생성하며 따라서, 많은 동적 정보를 저장할 수 있는 메모리 시스템으로 사용할 수 있다는 것이 알려져 있다. 본 논문에서는 각 뉴런이 최근접 뉴런에만 이진화한 결합하중 ${\pm}1$로 연결된 연속 시간모델 순환결합형 신경회로망을 구현하였다. 그리고 이런 회로망을 통해 생성되는 리미트사이클의 수와 패턴을 시뮬레이션을 통하여 나타내었다. 또한 카오스 신호를 인가하여 리미트사이클 사이의 천이 가능성을 입증하였다. 특히, 카오스 신호 이외의 랜덤 노이즈를 이용한 해석을 통하여 동적 신경회로망에 카오스 노이즈를 인가하는 경우의 유효성을 검토하였다.

Abstract

It is well-known that a neural network with cyclic connections generates plural limit cycles, thus, being used as a memory system for storing large number of dynamic information. In this paper, a continuous-time cyclic connection neural network was built so that each neuron is connected only to its nearest neurons with binary synaptic weights of ${\pm}1$. The type and the number of limit cycles generated by such network has also been demonstrated through simulation. In particular, the effect of chaos signal for transition between limit cycles has been tested. Furthermore, it is evaluated whether the chaotic noise is more effective than random noise in the process of the dynamical neural networks.

주제어

#continuous-time cyclic neural network   #chaos   #limit cycle   #transition  

저자의 다른 논문

참고문헌 (14)

1. Y. Hayakawa, A. Marumoto, and Y Sawada, 'Effect of the noise in the performance of a neural network model for optimization problems,' Phys. Rev. E, vol. 51, pp. 2693-2696, 1995 
2. L. Kocarev, 'Chaos-based cryptography: a brief overview,' IEEE Circuits and Systems Magazine, vol. 1, no. 3, pp. 6-21, 2001 
3. G. Jakimoski, and L. Kocarev, 'Chaos and Cryptography: Block Encryption Ciphers Based on Chaotic Maps,' IEEE Trans. on Circuits and Systems, Part I , vol. 48, pp. 163-169, 2001 
4. J. P. Jiang, 'A note on chaotic secure communication systems,' IEEE Trans. on Circuits and Systems, Part I : Fundamental Theory and Applications, vol. 49, no. 1, pp. 92-96, 2002 
5. R. Mislovaty, E. Klein, and W. Kinzel, 'Public Channel Cryptography by Synchronization of Neural Networks and Chaotic Maps,' Phys. Rev. Lett., 91, 118701, 2003 
6. K. Nakajima and Y. Hayakawa, 'Correct Reaction Neural Network,' Neural Networks, vol. 6, pp. 217-222, 1993 
7. C.Y. Park, and K. Nakajima, 'Analog CMOS Implementation of Quantized Interconnection Neural Networks for Memorizing Limit Cycles,' IEICE Trans. on Fundamentals, vol. E82-A, no. 6, pp. 952-957, 1999 
8. M. Adachi, T. Ushino, and S. Yamamoto, 'Synthesis of hybrid systems with limit cycles satisfying piece-wise smooth constraint equations,' IEICE Trans. on Fundamentals, vol. E87-A, no. 4, pp. 837-842, 2004 
9. T. Mori, and S. Kai, 'Noise-Induced Entrainment and Stochastic Resonance in Human Brain Waves,' Phys. Rev. Lett. 88, 218101, 2002 
10. C. Y. Park, Y. Hayakawa, K. Nakajima and Y. Sawada, 'Limit cycles of one-dimensional neural networks with the cyclic connection matrix,' IEICE Trans. on Fundamentals, vol. E79-A, no. 6, pp. 752-757, 1996 
11. C. Y. Park, and K. Nakajima, 'Asymptotic Analysis of Cyclic Transitions in the Discrete-Time Neural Networks with Antisymmetric and Circular Interconnection Weights,' IEICE Trans. on Fundamentals, vol. E87-A, no. 6, pp. 1059-1065, 2004 
12. T. Ushino, K. Kobayashi M. Adachi, A. Nakatani, and Y. Takahashi, 'Application of discrete event and hybrid Systems in humanoid robots,' IEICE Trans. on Fundamentals, vol. E87-A, no. 11, pp. 2834-2843, 2004 
13. C. A. Skarda and W. J. Freeman, 'How brains make chaos in order to the sense of the world', Behavioral and Brain Sciences, vol. 10, pp. 161-195, 1987 
14. R. Soma, D. Nozaki, S. Kwak, and Y. Yamamoto, '1/f Noise Outperforms White Noise in Sensitizing Baroreflex Function in the Human Brain,' Phys. Rev. Lett. 91, 078101, 2003 

이 논문을 인용한 문헌 (0)

1. 이 논문을 인용한 문헌 없음