Design of a chaotic neural network for training and retrieval of grayscale and binary patterns

Neurocomputing

Volumn 74, Issue 17, 2011, Pages 2824-2833

  Taherkhani, A ^a   Seyyedsalehi, S A ^a   Jafari, A H ^b  

^a AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

^b TEHRAN UNIVERSITY OF MEDICAL SCIENCES   (Iran)

Author keywords

Chaotic neural network; Logistic map; Recurrent; Supervisor

Indexed keywords

ACTIVATION FUNCTIONS; BINARY PATTERNS; CHAOTIC NEURAL NETWORK; CHAOTIC PROPERTIES; GRAY SCALE; LOGISTIC MAP; LOGISTIC MAPS; PROBLEM SOLVERS; RECURRENT; SUPERVISOR;

CHAOTIC SYSTEMS; SUPERVISORY PERSONNEL;

NEURAL NETWORKS;

ANALYTIC METHOD; ARTICLE; ARTIFICIAL NEURAL NETWORK; AUTOMATED PATTERN RECOGNITION; CHAOTIC DYNAMICS; CHAOTIC NEURAL NETWORK; CONTROLLED STUDY; IMAGE ANALYSIS; IMAGE PROCESSING; IMAGE RECONSTRUCTION; IMAGE RETRIEVAL; INTERMETHOD COMPARISON; NOISE REDUCTION; NONLINEAR DYNAMIC RECURRENT ASSOCIATIVE MEMORY; NORMAL DISTRIBUTION; PRIORITY JOURNAL; PROCESS MODEL; STATISTICAL MODEL;

EID: 80052922063     PISSN: 09252312     EISSN: 18728286     Source Type: Journal    
DOI: 10.1016/j.neucom.2011.03.037     Document Type: Article

References (38)

1. Freeman W.J. Strange attractors that govern mammalian brain dynamics shown by trajectories of electroencephalographic (EEG) potential. IEEE Transactions on Circuits and Systems 1988, 35(7):781-783.
2. Lee G., Farhat N.H. The bifurcating neuron network 1. Neural Networks 2001, 14:115-131.
3. Arbib M.A. The Handbook of Brain Theory and Neural Networks 2003, MIT Press, Cambridge, Massachusetts, London, England, pp. 205-208. 2nd ed.
4. Cohen M.A., Grossberg S. Absolute stability of global pattern formation and parallel memory storage by competitive neural networks. IEEE Transactions on Systems Man Cybernetics 1983, 13:815-826.
5. Hertz J., Krogh A., Palmer R.G. Introduction to the Theory of Neurocomputing 1991, Addison-Wesley, Reading, MA, pp. 1-41.
6. Hopfield J.J. Neural networks and physical systems with emergent collective computational abilities. Proceedings of the National Academy of Sciences USA 1982, 79:2554-2558.
7. Zhao L., Caceres J.C.G., Damiance A.P.G., Szu H. Chaotic dynamics for multi-value content addressable memory. Neurocomputing 69, 2006, 1628-1636.
8. Pinto R.D., Varona P., Volkovskii A.R., Sz̈ucs A., Abarbanel H.D.I., Rabinovich M.I. Synchronous behavior of two coupled electronic neurons. Physical Review E 62, 2000, 2644.
9. Yanga Xiao, Yuan Q. Chaos and transient chaos in simple Hopfield neural networks. Neurocomputing 2005, 69:232-241.
10. Ishii S., Sato M. Associative memory based on parametrically coupled chaotic elements. Physica D 1998, 121(3):344-366. (23).
11. N. Farhat, Dynamical networks with bifurcation processing element, in: Proceedings of the NOLTA'97, Honolulu, HI, 1997, pp. 265-268.
12. N. Farhat, Cortitronics: the way to designing machines with brain-like intelligence, in: Proceedings of the SPIE, vol. 4109, SPIE, Bellingham, Washington, pp. 103-109.
13. N. Farhat, G.H. Lee, X. Ling, Dynamical networks for ATR, in: Proceedings of the RTO SCI Symposium on Non-Cooperative Air Target Identification Using Radar, Mannheim, Germany, 1998, pp. D1-D4 (published in RTO MP6).
14. Dmitriev A., Shirokov M., Starkov S. Chaotic synchronization in ensembles of coupled maps. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 1997, 44(10):918-926.
15. Kaneko K., Tsuda I. Complex Systems: Chaos and Beyond 2000, Springer, New York, pp. 57-162.
16. Sinha S., Ditto W.L. Dynamics based computation. Physical Review Letters 1998, 81(10):2156-2159.
17. Beliaev I., Kozma R. Time series prediction using chaotic neural networks on the CATS benchmark. Neurocomputing 2007, 70:2426-2439.
18. Lysetskiy M., Zurada J.M. Bifurcating neuron: computation and learning. Neural Networks 17, 2004, 225-232.
19. Kaneko K. Period-doubling of kink-antikink patterns, quasi-periodicity in antiferro-like structures and spatial intermittency in coupled map lattices. Progress in Theoretical Physics 72, 1984, 480-486.
20. Kaneko K. Clustering, coding, switching, hierarchical ordering and control in network of chaotic elements. Physica D 1990, 41:137-142.
21. Aihara K., Takabe T., Toyoda M. Chaotic neural networks. Physical Letters A 1990, 144(6-7):333-340.
22. Perrone A.L., Basti G. Neural images and neural coding. Behavioral and Brain Science 1995, 1892:368-369.
23. Wang L.P. Oscillatory and chaotic dynamics in neural networks under varying operating conditions. IEEE Transactions on Neural Networks 1996, 7(6):1382-1388.
24. Schuster H.G. & Stemmler, Control of chaos by oscillating feedback. Physical Review E 1997, 56(6):6410-6417.
25. Borisyuk R.M., Borisyuk G.N. Information coding on the basis of synchronization of neuronal activity. Biosystems 1997, 40(1-2):3-10.
26. Minai A.A., Anand T. Stimulus induced bifurcations in discrete-time neural oscillators. Biological Cybernetics 1998, 79(1):87-96.
27. Kozma R., Freeman W.J. Chaotic resonance-methods and applications for robust classification of noisy and variable patterns. International Journal of Bifurcation and Chaos 2001, 11(6):1607-1629.
28. A. Taherkhani, A. Mohamadi, S.A. Seyyedsalehi, H. Davande, Design of chaotic neural network by using chaotic nodes and NDRAM Network, in: Proceedings of the WCCI2008, Hong Kong, 2008, pp. 3500-3504.
29. F. Heylighen, Self-organization, emergence and the architecture of complexity, in: Proceedings of the AFCET, Paris, 1989, pp. 23-32.
30. Hernandez E.D.M. Non-homogenous neural networks with chaotic recursive nodes: connectivity and multi-assemblies structures in recursive processing elements architectures. Neural Networks 2005, 18:532-540.
31. Chartier S., Proulx R. NDRAM: nonlinear dynamic recurrent associative memory for learning bipolar and nonbipolar correlated patterns. IEEE Transactions on Neural Networks 2005, 16(6):1393-1400.
32. Kanter I., Sompolinsky H. Associative recall of memory without errors. Physical Review A 1987, vol. 35:380-392.
33. Storkey A.J., Valabregue R. The basins of attraction of a new Hopfield learning rule. Neural Networks 1999, 12:869-876.
34. Diederich S., Opper M. Learning of correlated pattern in spin-glass networks by local learning rules. Physical Review Letters 1987, 58:949-952.
35. Bégin J., Proulx R. Categorization in unsupervised neural networks: the Eidos model. IEEE Transactions on Neural Networks 1996, 7:147-154.
36. Stacey R.D., Griffin D., Shaw P. Complexity and Management, Fad or Radical Challenge to Systems Thinking 2001, Taylor & Francis e-Library, London, New York, pp. 17-20. 2nd ed.
37. Walleczek J. Self-organized Biological Dynamics and Nonlinear Control 2000, Cambridge University Press, pp. 1-12 (Chapter 1). first Ed.
38. Heylighen F., Cilliers P., Gershenson C. Complexity and Philosophy, Book Chapter. Complexity, Science and Society 2007, 117-134. Radcliffe Publishing, Oxford. J. Bogg, R. Geyer (Eds.).