Refractory pulse counting processes in stochastic neural computers

IEEE Transactions on Neural Networks

Volumn 16, Issue 2, 2005, Pages 505-508

  McNeill, Dean K ^a   Card, Howard C ^a  

^a UNIVERSITY OF MANITOBA   (Canada)

Author keywords

Neural pulse coding; Stochastic arithmetic; Stochastic signal processing

Indexed keywords

MATHEMATICAL MODELS; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; SIGNAL DETECTION; SIGNAL ENCODING; SIGNAL PROCESSING; VARIATIONAL TECHNIQUES;

NEURAL PULSE CODING; PULSE COUNT DISTRIBUTIONS; REFRACTORY PULSE COUNTING; STOCHASTIC ARITHMETIC; STOCHASTIC SIGNAL PROCESSING;

NEURAL NETWORKS;

ARTIFICIAL NEURAL NETWORK; LETTER; STATISTICS;

NEURAL NETWORKS (COMPUTER); STOCHASTIC PROCESSES;

EID: 15344340073     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2005.844089     Document Type: Article

References (17)

1. K. S. Trivedi, Probability and Statistics with Reliability, Queueing, and Computer Science Applications. Englewood Cliffs, NJ: Prentice-Hall, 1982.
2. B. R. Gaines, "Stochastic computing systems," in Advances in Information Systems Science, J. F. Tou, Ed. New York: Plenum, 1969, vol. 2, ch. 2, pp. 37-172.
3. M. S. Tomlinson, D. J. Walker, and M. A. Sivilotti, "A digital neural network architecture for VLSI," in Proc. Int. Joint Conf. Neural Networks, vol. 2, San Diego, CA, 1990, pp. 545-550.
4. D. E. Van den Bout and T. K. Miller III, "A digital architecture employing stochasticism for the simulation of hopfield neural nets," IEEE Trans. Circuits Syst., vol. 36, no. 5, pp. 732-738, May 1989.
5. J. E. Tomberg and K. Kaski, "Pulse density modulation technique in VLSI implementation of neural network algorithms," IEEE J. Solid-State Circuits, vol. 25, no. 5, pp. 1277-1286, Oct. 1990.
6. J. A. Dickson, R. D. McLeod, and H. C. Card, "Stochastic arithmetic implementations of neural networks with in situ learning," in Proc Int. Conf. Neural Networks, San Francisco, CA, 1993, pp. 711-716.
7. B. D. Brown and H. C. Card, "Stochastic neural computation," IEEE Trans. Comput., vol. 50, no. 9, pp. 891-920, Sep. 2001.
8. P. S. Burge, M. R. van Daalen, B. J. P. Rising, and J. S. Shawe-Taylor, "Stochastic bit-stream neural networks," in Pulsed Neural Networks W. Maass and C. M. Bishop, Eds. Cambridge, MA: MIT Press, 1999.
9. W. Maass and C. M. Bishop, Eds., Pulsed Neural Networks. Cambridge, MA: MIT Press, 1999.
10. H. C. Card, "Doubly stochastic poisson processes in artificial neural learning," IEEE Trans. Neural Netw., vol. 9, no. 1, pp. 229-231, Jan. 1998.
11. B. I. Cantor and M. C. Teich, "Dead-time-corrected photocounting distributions for laser radiation," J. Opt. Soc. Amer., vol. 65, pp. 786-791, 1975.
12. L. Mandel, "Fluctuations of photon beams: The distribution of photo-electrons," in Proc. Physical Soc., vol. 74, 1959, pp. 233-242.
13. M. Greenwood and G. U. Yule, "An inquiry into the nature of frequency distributions representative of multiple happenings with particular reference to the occurrence of multiple attacks of disease or of repeated accidents," J. Roy. Stat. Soc. A, vol. 83, pp. 255-279, 1920.
14. M. C. Teich and H. C. Card, "Photocounting distributions for exponentially-decaying sources," Opt. Lett., vol. 4, pp. 146-148, May 1979.
15. H. C. Card, "Compound binomial processes in neural integration," IEEE Trans. Neural Netw., vol. 12, no. 6, pp. 1505-1512, Nov. 2001.
16. D. K. McNeill and H. C. Card, "Gaussian activation functions using Markov chains," IEEE Trans. Neural Netw., vol. 13, no. 6, pp. 1465-1471, Nov. 2002.
17. H. C. Card, "Input multiplexing in artificial neurons employing stochastic arithmetic," Neural Process. Lett., vol. 15, pp. 1-8, 2002.