Approximation capabilities of multilayer feedforward networks

Neural Networks - Tập 4 Số 2 - Trang 251-257 - 1991
Kurt Hornik1
1Technische Universität Wien, Vienna, Austria

Tóm tắt

Từ khóa


Tài liệu tham khảo

Adams, 1975

Carroll, 1989, Construction of neural nets using the Radon transform, I:607

Cybenko, 1989, Approximation by superposition of a sigmoidal function, Mathematics of Control, Signals and Systems, 2, 303, 10.1007/BF02551274

Friedman, 1982

Funahashi, 1989, On the approximate realization of continuous mappings by neural networks, Neural Networks, 2, 183, 10.1016/0893-6080(89)90003-8

Gallant, 1988, There exists a neural network that does not make avoidable mistakes, I:657

Gallant, 1989

Hecht-Nielsen, 1989, Theory of the back propagation neural network, I:593

Hornik, 1989, Multilayer feedforward networks are universal approximators, Neural Networks, 2, 359, 10.1016/0893-6080(89)90020-8

Hornik, 1990, Universal approximation of an unknown mapping and its derivatives using multilayer feedforward networks, Neural Networks, 10.1016/0893-6080(90)90005-6

Irie, 1988, Capabilities of three layer perceptrons, I:641

Lapedes, 1988, How neural networks work

Maz'ja, 1985

Rudin, 1967, Vol. 12

Stinchcombe, 1989, Universal approximation using feedforward networks with non-sigmoid hidden layer activation functions, I:613

Stinchcombe, 1990