Universal learning networks with multiplication neurons and its representation ability

D. Li, K. Hirasawa, J. Hu, Junichi Murata

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Citations (Scopus)

Abstract

Universal Learning Networks(ULNs) which are super set of supervised learning networks have been already proposed. They consist of a number of inter-connected nodes where the nodes may have any continuously differentiable nonlinear functions in them. Most of the functions used are sigmoidal functions. Disadvantages of exiting ULNs mainly lie in that long training time, a large number of nodes in hidden layers, and so on. In this paper, special ULNs with multiplication neurons(M neuron) are proposed, which have M neurons in the hidden layer and normal neurons with sigmoidal functions in the output layer. The computational power of networks models with multiplication neurons is compared with that of ULNs with existing neurons. In particular it is proved that ULNs with multiplication neurons are, with regard to the number of neurons that are needed, computationally more powerful than ULNs with normal sigmodial functions.

Original languageEnglish
Title of host publicationProceedings of the International Joint Conference on Neural Networks
Pages150-155
Number of pages6
Volume1
Publication statusPublished - 2001
EventInternational Joint Conference on Neural Networks (IJCNN'01) - Washington, DC, United States
Duration: Jul 15 2001Jul 19 2001

Other

OtherInternational Joint Conference on Neural Networks (IJCNN'01)
CountryUnited States
CityWashington, DC
Period7/15/017/19/01

Fingerprint

Neurons
Supervised learning

All Science Journal Classification (ASJC) codes

  • Software
  • Artificial Intelligence

Cite this

Li, D., Hirasawa, K., Hu, J., & Murata, J. (2001). Universal learning networks with multiplication neurons and its representation ability. In Proceedings of the International Joint Conference on Neural Networks (Vol. 1, pp. 150-155)

Universal learning networks with multiplication neurons and its representation ability. / Li, D.; Hirasawa, K.; Hu, J.; Murata, Junichi.

Proceedings of the International Joint Conference on Neural Networks. Vol. 1 2001. p. 150-155.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Li, D, Hirasawa, K, Hu, J & Murata, J 2001, Universal learning networks with multiplication neurons and its representation ability. in Proceedings of the International Joint Conference on Neural Networks. vol. 1, pp. 150-155, International Joint Conference on Neural Networks (IJCNN'01), Washington, DC, United States, 7/15/01.
Li D, Hirasawa K, Hu J, Murata J. Universal learning networks with multiplication neurons and its representation ability. In Proceedings of the International Joint Conference on Neural Networks. Vol. 1. 2001. p. 150-155
Li, D. ; Hirasawa, K. ; Hu, J. ; Murata, Junichi. / Universal learning networks with multiplication neurons and its representation ability. Proceedings of the International Joint Conference on Neural Networks. Vol. 1 2001. pp. 150-155
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