A Winner-take-all circuit based on second order Hopfield neural networks as building blocks

Proceedings of the International Joint Conference on Neural Networks

Volumn 2, Issue , 2003, Pages 891-896

  Tymoshchuk, P ^a   Kaszkurewicz, E ^a  

^a FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BLOCK CODES; COMPUTER SIMULATION; MATRIX ALGEBRA; SET THEORY; TOPOLOGY;

MUTUALLY INHIBITORY NETWORKS;

NEURAL NETWORKS;

EID: 0141683776     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (25)

1. B.D.Calvert and C.A.Marinov, "Another k-winners-take-all analog neural network," IEEE Trans. Neural Networks, vol. 11, pp. 829-838, July 2000.
2. K.Urahama and T.Nagao, "K-winners-take-all circuit with 0(n) complexity," IEEE Trans. Neural Networks, vol. 6, pp. 776-778, 1995.
3. J.C.Yen, J.I.Guo, and H.-C.Chen, "A new k-winners-take all neural network and its array architecture," IEEE Trans. Neural Networks, vol. 9, pp. 901-912, September 1998.
4. R.P.Lippmann, "An introduction to computing with neural nets," IEEE ASSP Mag., April 1987.
5. R.P.Lippmann, B.Gold, and M.L.Maipass, "A comparison of hamming and hopfield neural nets for pattern classification," Technical Report TR-769, MIT Lincoln Laboratory, 1987.
6. T.M.Kwon and M.Zervakis, "A parallel sorting network without comparators: A neural-network approach," in Proc. Int. Joint Conf. Neural Networks, vol. 1, pp. 701-706, 1992.
7. L.N.Binh and H.C.Chong, "A neural-network contention controller for packet switching networks," IEEE Trans. Neural Networks, vol. 6, pp. 1402-14108, November 1993.
8. W.J.Wolfe, D.Mathis, C.Anderson, J.Rothman, M.Gottler, G.Brady, R.Walker, G.Duane, and G.Alaghband, "K-winner networks," IEEE Trans. Neural Networks, vol. 2, pp. 310-315, 1991.
9. E. Kaszkurewicz and A. Bhaya, Matrix Diagonal Stability in Systems and Computation. Birkhäuser, Boston, 2000.
10. E. Kaszkurewicz and A. Bhaya, "On a class of globally stable neural circuits," IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications, vol. 41, no. 2, pp. 171-174, 1994.
11. J. J. Hopfield, "Neurons with graded response have collective computational properties like those of two-state neurons," in Proceedings of the National Academy of Sciences, no. 81, pp. 3088-3092, 1984.
12. A.N.Michel, J.A.Farrell, and W.Porod, "Qualitative analysis of neural networks," IEEE Transactions on Circuits and Systems, vol. 36, no. 2, pp. 229-243, 1989.
13. S.Arik, "A note on the global stability of dynamical neural networks," IEEE Transactions on Circuits and Systems-1, vol. 49, no. 4, pp. 502-5048, 2002.
14. Y.P.Tsividis and D.Anastassiou, "Switched capacitor neural network," Electronics Letters, vol. 23, pp. 958-959, 1987.
15. A. Cichocki and R. Unbehauen, Neural Networks for Optimization and Signal Processing. John Wiley and Sons, 1993.
16. P.Tymoshchuk and E.Kaszkurewicz, "A winner-take-all circuit using second order hopfield neural networks as building blocks," Technical report TR-16, UFRJ NACAD Laboratory, 2002.
17. S. Kaski and T.Kohonen, "Winner-take-all networks for physiological models of competitive learning," Neural Networks, vol. 7, no. 6, pp. 973-984, 1994.
18. P.Tymoshchuk and E.Kaszkurewicz, "Synthesis of continuous time second order wta hopfield neural networks using genetic algorithms," tech. rep., UFRJ NACAD Laboratory, 2002.
19. J.Wang, "Analogue winner-take-all neural networks for determining maximum and minimum signals," Int. J. Electronics, vol. 77, no. 3, pp. 355-367, 1994.
20. E.Majani, R.Erlanson, and Y.Abu-Mostafa, "On the kwinners-take-all network," in Advances in Neural Information Processing Systems I,D.S.Touretzky, Ed. San Mateo, CA: Morgan Kaufmann, pp. 634-642, 1989.
21. T. Martin, Acoustic Recognition of a Limited Vocabulary in Continuous Speech. PhD thesis, Dept. Electrical Engineering Univ. Pennsylvania, 1970.
22. J.-C.Yen and S.Chang, "Improved winner-take-all neural network," Electronics Letters, vol. 28, pp. 662-664, 1992.
23. Y.Fang and T.G.Kincaid, "Global properties for a class of dynamical neural circuits," J. Franklin Inst, vol. 335B, no. 1, pp. 163-177, 1998.
24. H.K.Kwan, "One-layer feedforward neural network for fast maximum/minimum determination," Electronics Letters, vol. 28, pp. 1583-1585, 1992.
25. B.W.Suter and M.Kabrisky, "On a magnitude preserving iterative maxnet algorithm," Neural Computation, vol. 4, pp. 224-233, 1992.