Bounds on the number of hidden neurons in three-layer binary

作者: Zhaozhi Zhang , Xiaomin Ma , Yixian Yang

DOI: 10.1016/S0893-6080(03)00006-6

关键词: Binary numberBoolean functionUnit sphereInteger (computer science)Upper and lower boundsCombinatoricsDiscrete mathematicsHyperplaneHamming spaceMathematicsDeterministic algorithm

摘要: … the GLA can automatically determine the required number of hidden neurons for the … an upper bound on the required number of hidden neurons for the generation of an arbitrary …

参考文章(16)
E. D. Sontag, VC dimension of neural networks NATO advanced study institute on generalization in neural networks and machine learning. pp. 69- 95 ,(1998)
Christopher M. Bishop, Neural networks and machine learning Springer, 1998. ,vol. 168, ,(1998)
Xian Yang Yi, Zhaozhi Zhang, Xiaomin Ma, Boolean Neural Network Design Using Set Covering in Hamming Geometrical Space IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences. ,vol. 82, pp. 2285- 2290 ,(1999)
Zhaozhi Zhang, Xiaomin Ma, Yixian Yang, A unified method to construct neural network decoders for arbitrary codes and decoding rulers Discrete Mathematics. ,vol. 238, pp. 171- 181 ,(2001) , 10.1016/S0012-365X(00)00422-2
R. W. Hamming, Error detecting and error correcting codes Bell System Technical Journal. ,vol. 29, pp. 147- 160 ,(1950) , 10.1002/J.1538-7305.1950.TB00463.X
S. Muroga, T. Tsuboi, C.R. Baugh, Enumeration of Threshold Functions of Eight Variables IEEE Transactions on Computers. ,vol. C-19, pp. 818- 825 ,(1970) , 10.1109/T-C.1970.223046
Saburo Muroga, Lower Bounds of the Number of Threshold Functions and a Maximum Weight IEEE Transactions on Electronic Computers. ,vol. 14, pp. 136- 148 ,(1965) , 10.1109/PGEC.1965.263958
YASER Abu-Mostafa, J St Jacques, Information capacity of the Hopfield model IEEE Transactions on Information Theory. ,vol. 31, pp. 461- 464 ,(1985) , 10.1109/TIT.1985.1057069
Z. Zhang, Linear inequalities for covering codes. II. Triple covering inequalities IEEE Transactions on Information Theory. ,vol. 37, pp. 573- 582 ,(1991) , 10.1109/18.79914