The effects of limited-precision weights on the threshold Adaline

IEEE Transactions on Neural Networks

Volumn 8, Issue 3, 1997, Pages 549-552

  Stevenson, Maryhelen ^a,b  

^a IEEE   (Canada)

^b UNIVERSITY OF NEW BRUNSWICK   (Canada)

Author keywords

Characterizing numbers; Limited precision weights; Linearly separable logic functions; Realization procedures for m ary separable logic functions; Threshold adalines; Threshold logic

Indexed keywords

FUNCTIONS; MATHEMATICAL MODELS; THRESHOLD ELEMENTS; THRESHOLD LOGIC;

LIMITED PRECISION WEIGHTS; THRESHOLD ADALINE;

NEURAL NETWORKS;

EID: 0031146988     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/72.572094     Document Type: Article

References (10)

1. M. Stevenson, "m-ary separable logic functions of n variables: Enumeration, separability tests and realization procedures (2 ≤ m ≤ 5)," Dep. Electr. Eng., Univ. New Brunswick, Tech. Rep., 1996.
2. P. M. Lewis and C. L. Coates, Threshold Logic. New York: Wiley, 1967.
3. R. O. Winder, "Threshold functions through n = 7," RCA Lab., Contract no. AF19(604)8423, Project no. 5632, Task No. 563202, Tech. Rep., Oct. 1964.
4. S. Muroga, T. Tsuboi, and C. R. Baugh, "Enumeration of threshold functions of eight variables," Dept. Computer Sci., Univ. Illinois, Rep. 245, p. 59, Aug. 1967.
5. T. M. Cover, "Geometrical and statistical properties of systems of linear inequalities with application in pattern recognition," IEEE Trans. Electron. Computers, vol. 14, pp. 326-334, June 1965.
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7. W. Krauth and M. Mezard, "Storage capacity of memory networks with binary couplings," J. Phys., France, vol. 50, pp. 3057-3066, Oct. 15, 1989.
8. M. Stevenson and S. Huq, "On the capacity of threshold adalines with limited precision weights," Neural Computa., vol. 8, no. 8, pp. 1603-1610, Nov. 1996.
9. R. O. Winder, "Threshold logic," Ph.D. dissertation, Princeton Univ., Princeton, NJ, May 1962.
10. M. Stevenson, "The ternary adaline," in Proc. Int. Joint Conf. Neural Networks, Baltimore, MD, vol. II, June 1992, pp. 374-379.