Abstract
In this paper we propose a new stable learning algorithm for Cellular Neural Networks. Our approach is based on the input-to-state stability theory, so to obtain learning laws that do not need robust modifications. Here we present only a theoretical study, letting experimental evidences for further works.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Balsi, M.: Recurrent Back-Propagation for CNNs. In: Proc. of the ECCTD 2003, Davos, pp. 677–682 (1993)
Chandler, B., Rekeczky, C., Nishio, Y., Ushida, A.: Adaptative Simulated Annealing in CNN Template Learning. IEICE Tran. Fundamentals 82(2), 398–402 (1999)
Chua, L.O., Yang, L.: Cellular Neural Networks Theory. IEEE Trans. Circuits and Systems 35(10), 1257–1272 (1988)
Gómez-Ramírez, E., Mazzanti, F.: Cellular Neural Networks Learning using Genetic Algorithms. In: de Díaz León, J., Yáñez, C. (eds.) Reconocimiento de Patrones avances y perspectivas, IPN, México (2002)
Kozek, T., Roska, T.: Genetic Algorithm for CNN Template Learning. IEEE Trans. Circuits and Systems—I, Fundamental Theory and Appl. 40(6), 392–402 (1993)
Nossek, J.A.: Design and Learning with Cellular Neural Networks. In: Proc. of IEEE CNNA 1994, Rome, pp. 137–146 (1994)
Roska, T., Kék, L., Nemes, L., Zarandy, A., Brendel, M.: CSL-CNN Software Library. Report of the Analogical and Neural Computing Laboratory, Computer and Automation Institute. Hungarian Academy of Sciences, Budapest, Hungary (2000)
Szolgay, P., Kozek, T.: Optical Detection of Layout Errors of Printed Circuit Boards using Learned CNN Templates. Report DNS-8-1991, Dual and Neural Computing Systems Res. Lab., Comp. Aut. Inst., Hung Acad Sci., Budapest (1991)
Tealuff, R., Wolf, D.: A Learning Algorithm for the Dynamics of CNN with Nonlinear Templates - Part I Discrete-Time Case. Proc. IEEE CNNA 1996, 461–466 (1996)
Vilasís-Cardona, X., Vinyoles-Serra, M.: On Cellular Neural Network Learning. In: Proc. of ECCTD 2005, Cork (2005)
Yu, W., Li, X.: Discrete-time Neuro Identification without Robust Modification. IEE Proceedings - Control Theory and Applications 150(3), 311–316 (2003)
Zaràndy, A.: The Art of CNN Template Design. Int. J. of Circ. Th. Appl. 27, 5–23 (1999)
Zou, F., Schwarz, S., Nossek, J.A.: Cellular Neural Network Design using a Learning Algorithm. In: Proc. IEEE CNNA 1990, pp. 73–81 (1990)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Moreno-Armendariz, M.A., Egidio Pazienza, G., Yu, W. (2006). Training Cellular Neural Networks with Stable Learning Algorithm. In: Wang, J., Yi, Z., Zurada, J.M., Lu, BL., Yin, H. (eds) Advances in Neural Networks - ISNN 2006. ISNN 2006. Lecture Notes in Computer Science, vol 3971. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11759966_83
Download citation
DOI: https://doi.org/10.1007/11759966_83
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-34439-1
Online ISBN: 978-3-540-34440-7
eBook Packages: Computer ScienceComputer Science (R0)