Desynchronizing a chaotic pattern recognition neural network to model inaccurate perception

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics

Volumn 37, Issue 3, 2007, Pages 692-704

  Calitoiu, Dragos ^a,b   Oommen, B John ^a,c   Nussbaum, Doron ^a  

^a CARLETON UNIVERSITY   (Canada)

^b HEALTH CANADA   (Canada)

^c UNIVERSITY OF AGDER   (Norway)

Author keywords

Chaotic neural networks (CNNs); Chaotic pattern recognition (PR); Modeling inaccurate perception

Indexed keywords

CHAOTIC SYSTEMS; COMPUTER SIMULATION; LYAPUNOV METHODS; MATHEMATICAL MODELS; PATTERN RECOGNITION; SYNCHRONIZATION;

CHAOTIC PATTERN RECOGNITION NEURAL NETWORK; DESYNCHRONIZATION; MODELING INACCURATE PERCEPTION; ROUTH-HURWITZ CRITERION;

NEURAL NETWORKS;

ALGORITHM; ARTICLE; ARTIFICIAL INTELLIGENCE; ARTIFICIAL NEURAL NETWORK; AUTOMATED PATTERN RECOGNITION; BIOLOGICAL MODEL; BIOMIMETICS; BRAIN; COMPUTER SIMULATION; HUMAN; METHODOLOGY; NONLINEAR SYSTEM; PHYSIOLOGY; SENSITIVITY AND SPECIFICITY; VISION;

ALGORITHMS; ARTIFICIAL INTELLIGENCE; BIOMIMETICS; BRAIN; COMPUTER SIMULATION; HUMANS; MODELS, NEUROLOGICAL; NEURAL NETWORKS (COMPUTER); NONLINEAR DYNAMICS; PATTERN RECOGNITION, AUTOMATED; SENSITIVITY AND SPECIFICITY; VISUAL PERCEPTION;

EID: 34249083781     PISSN: 10834419     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSMCB.2006.890293     Document Type: Article

References (33)

1. M. Adachi and K. Aihara, "Associative dynamics in a chaotic neural network," Neural Netw., vol. 10, no. 1, pp. 83-98, Jan. 1997.
2. D. J. Albers, J. C. Sprott, and W. D. Dechert, "Routes to chaos in neural networks with random weights," Int. J. Bifurc. Chaos, vol. 8, no. 7, pp. 1463-1478, Jul. 1998.
3. V. Athitsos and S. Sclaroff, "An appearance-based framework for 3D hand shape classification and camera viewpoint estimation," in Proc. IEEE Int. Conf. Autom. Face Gesture Recog., 2002, vol. 5, pp. 45-50.
4. I. Biederman, "Recognition by components: A theory of human image understanding," Psychol. Rev., vol. 94, no. 2, pp. 115-147, Apr. 1987.
5. W. Buskist and D. W. Gerbing, Psychology: Boundaries and Frontiers New York: Harper Collins, 1990.
6. D. Calitoiu, B. J. Oommen, and D. Nussbaum, "Periodicity and stability issues of a chaotic pattern recognition neural network," Pattern Anal. Appl. J., Oct. 2006. to be published.
7. D. Calitoiu, B. J. Oommen, and D. Nussbaum, "Neural network-based chaotic pattern recognition - Part 1: Stability and periodicity issues," in Proc. PRIP Conf., Minsk, Belarus, May 2005, pp. 252-259. This talk was a Plenary talk of the Conference.
8. D. Calitoiu, B. J. Oommen, and D. Nussbaum, "Neural network-based chaotic pattern recognition - Part 2: Stability and algorithmic issues," in Proc. CORES Conf., May 2005, pp. 3-16. This talk was a Plenary talk of the Conference.
9. R. Duda, P. Hart, and D. Stork, Pattern Classification, 2nd ed. New York: Wiley, 2000.
10. L. Fausett, Fundamentals of Neural Networks. Englewood Cliffs, NJ: Prentice-Hall, 1994.
11. R. H. Forgus and L. E. Melamed, Perception: A Cognitive-Stage Approach, 2nd ed. New York: McGraw-Hill, 1976.
12. W. J. Freeman, "Tutorial in neurobiology: From single neurons to brain chaos," Int. J. Bifurc. Chaos, vol. 2, no. 3, pp. 451-482, Sep. 1992.
13. M. Friedman and A. Kandel, Introduction to Pattern Recognition: Statistical, Structural, Neural and Fuzzy Logic Approaches. Singapore: World Scientific, 1999.
14. K. Fukunaga, Introduction to Statistical Pattern Recognition. New York: Academic, 1990.
15. A. Gelperin, "Olfactory computations and network oscillation," J. Neurosci., vol. 26, no. 6, pp. 1663-1668, Feb. 2006.
16. T. Kohonen, Self-Organizing Maps. Berlin, Germany: Springer-Verlag, 1997.
17. G. Laurent, "Dynamical representation of odors by oscillating and evolving neural assemblies," Trends Neurosci., vol. 19, no. 11, pp. 489-496, Nov. 1996.
18. G. Li, Z. Lou, L. Wang, X. Li, and W. J. Freeman, Lecture Notes in Computer Science, vol. 3610. Berlin, Germany: Springer-Verlag, 2005, ch. Application of Chaotic Neural Model Based on Olfactory System on Pattern Recognition, pp. 378-381.
19. M. Makishima and T. Shimizu, "Wandering motion and co-operative phenomena in a chaotic neural network," Int. J. Bifurc. Chaos, vol. 8, no. 5, pp. 891-898, 1998.
20. D. Marr, Minds, Brains and Computers - An Anthology. Oxford, U.K.: Blackwell, 2000.
21. M. W. Matlin, Perception. Boston, MA: Allyn and Bacon, 1983.
22. O. Paulsen and T. J. Sejnowski, "From invertebrate olfaction to human cognition: Emerging computational functions of synchronized oscillatory activity," J. Neurosci., vol. 26, no. 6, pp. 1661-1662, Feb. 2006.
23. P. Penev and J. Atick, "Local feature analysis: A general statistical theory for object representation," Netw.: Comput. Neural Syst., vol. 7, no. 3, pp. 477-500, Aug. 1996.
24. J. Piaget, The Mechanism of Perception. New York: Harper Collins, 1969.
25. B. Ripley, Pattern Recognition and Neural Networks. Cambridge, U.K.: Cambridge Univ. Press, 1996.
26. M. T. Rosenstein, J. J. Collins, and C. J. De Luca, "A practical method for calculating largest Lyapunov exponents from small data sets," Physica D, vol. 65, no. 1/2, pp. 117-134, May 1993.
27. J. Schurmann, Pattern Classification, A Unified View of Statistical and Neural Approaches. New York: Wiley, 1996.
28. J. W. Shuai, Z. X. Chen, R. T. Liu, and B. X. Wu, "Maximum hyperchaos in chaotic nonmonotonic neuronal networks," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 56, no. 1, pp. 890-893, Jul. 1997.
29. S. Sinha, "Controlled transition from chaos to periodic oscillations in a neural network model," Physica A, vol. 224, no. 1, pp. 433-446, Feb. 1996.
30. C. A. Skarda and W. J. Freeman, "How brains make chaos to make sense of the world," Behav. Brain Sci., vol. 10, no. 2, pp. 161-195, 1987.
31. S. Theodoridis and K. Koutroumbas, Pattern Recognition. New York: Academic, 1999.
32. L. Wittgenstein, Philosophical Investigations, 3rd ed. Englewood Cliffs, NJ: Prentice-Hall, 1999.
33. K. Aihara, "Chaotic neural networks," in Bifurcation Phenomena In Nonlinear Systems And Theory Of Dynamical Systems, H. Kawakami, Ed. Singapore: World Scientific, 1990, pp. 143-161.