A winner-take-all circuit using neural networks as building blocks

Neurocomputing

Volumn 64, Issue 1-4 SPEC. ISS., 2005, Pages 375-396

  Tymoshchuk, Paul ^a   Kaszkurewicz, Eugenius ^a  

^a FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

Competitive diagonally stable matrix; Continuous time inhibitory neural network; Global asymptotic stability; Strong WTA neural circuit

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTER SIMULATION; FORMAL LOGIC; FUNCTIONS; MATRIX ALGEBRA; NETWORKS (CIRCUITS);

ACTIVATION FUNCTIONS; LOGIC NODES; WINNER-TAKE-ALL (WTA) CIRCUITS;

NEURAL NETWORKS;

ARTICLE; ARTIFICIAL NEURAL NETWORK; COMPUTER MODEL; COMPUTER SIMULATION; HYPOTHESIS; INFORMATION PROCESSING; INTERMETHOD COMPARISON; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; PRIORITY JOURNAL; PROCESS MODEL; SIGNAL PROCESSING; STATISTICAL ANALYSIS; STATISTICAL DISTRIBUTION;

EID: 15844394985     PISSN: 09252312     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neucom.2004.08.002     Document Type: Article

References (30)

1. M.A. Arbib Handbook of Brain Theory and Neural Networks 1998 The Mit Press Cambridge, MA
2. S. Arik A note on the global stability of dynamical neural networks IEEE Trans. Circuits Syst.-1 49 4 2002 502-5048
3. L.N. Binh H.C. Chong A neural-network contention controller for packet switching networks IEEE Trans. Neural Networ. 6 1993 1402-14108
4. B.D. Calvert C.A. Marinov Another k-winners-take-all analog neural network IEEE Trans. Neural Networ. 11 2000 829-838
5. A. Cichocki R. Unbehauen Neural Networks for Optimization and Signal Processing 1993 Wiley New York
6. J.A. Connelly Analog Integrated Circuits. Devices, Circuits, Systems, and Applications 1977 Wiley New York
7. G.L. Dempsey E.S. McVey Circuit implementation of a peak detector neural network IEEE Trans. Circuits Syst. 40 1993 585-588
8. G.L. Dempsey E.S. McVey Hough transform system enhancements resulting from neural network implementation Proceedings of the IEEE Southeastcon '91 Conference vol. 1 1991 94-98
9. D.E. Goldberg Genetic Algorithms in Search Optimization and Machine Learning 1989 Addison-Wesley Reading, MA
10. J.J. Hopfield Neurons with graded response have collective computational properties like those of two-state neurons Proc. Natl. Acad. Sci. 81 1984 3088-3092
11. S. Kaski T. Kohonen Winner-take-all networks for physiological models of competitive learning Neural Networks 7 6 1994 973-984
12. E. Kaszkurewicz A. Bhaya On a class of globally stable neural circuits IEEE Trans. Circuits Syst.-I: Fund. Theory Appl. 41 2 1994 171-174
13. E. Kaszkurewicz A. Bhaya Matrix Diagonal Stability in Systems and Computation 2000 Birkhäuser Boston
14. H.K. Kwan One-layer feedforward neural network for fast maximum/minimum determination Electron. Lett. 28 1992 1583-1585
15. T.M. Kwon M. Zervakis A parallel sorting network without comparators: A neural-network approach Proceedings of the International Joint Conference on Neural Networks vol. 1 1992 701-706
16. R.P. Lippmann, An introduction to computing with neural nets, IEEE ASSP Magazine, 1987.
17. R.P. Lippmann, B. Gold, M.L. Maipass, A comparison of hamming and hopfield neural nets for pattern classification, Technical Report TR-769, MIT Lincoln Laboratory, 1987.
18. E. Majani R. Erlanson Y. Abu-Mostafa On the k-winners-take-all network in: D.S. Touretzky (Ed.), Advances in Neural Information Processing Systems I 1989 Morgan Kaufmann San Mateo, CA 634-642
19. C.A. Marinov B.D. Calvert Performance analysis for a k-winners-take-all analog neural network: Basic theory IEEE Trans. Neural Networ. 14 2003 766-780
20. T. Martin, Acoustic recognition of a limited vocabulary in continuous speech, Ph.D. Thesis, Department of Electrical Engineering, University of Pennsylvania, 1970.
21. A.N. Michel J.A. Farrell W. Porod Qualitative analysis of neural networks IEEE Trans. Circuits Syst. 36 2 1989 229-243
22. B.W. Suter M. Kabrisky On a magnitude preserving iterative maxnet algorithm Neural Comput. 4 1992 224-233
23. U. Tietze C. Schenk Halbleiter-Schaltungstechnik 1980 Springer Berlin
24. Y.P. Tsividis D. Anastassiou Switched capacitor neural network Electron. Lett. 23 1987 958-959
25. P. Tymoshchuk, E. Kaszkurewicz, A winner-take-all circuit using second order neural networks as building blocks, Technical report TR-16, UFRJ NACAD Laboratory, 2002.
26. K. Urahama T. Nagao K-winners-take-all circuit with 0 ( n ) complexity IEEE Trans. Neural Networ. 6 1995 776-778
27. J. Wang Analogue winner-take-all neural networks for determining maximum and minimum signals Int. J. Electron. 77 3 1994 355-367
28. W.J. Wolfe D. Mathis C. Anderson J. Rothman M. Gottler G. Brady R. Walker G. Duane G. Alaghband K-winner networks IEEE Trans. Neural Networ. 2 1991 310-315
29. J.C. Yen S. Chang Improved winner-take-all neural network Electron. Lett. 28 1992 662-664
30. J.C. Yen J.I. Guo H.C. Chen A new k-winners-take all neural network and its array architecture IEEE Trans. Neural Networ. 9 1998 901-912