Architectures

G. Cybenko, “Approximation by superpositions of a sigmoidal function,” Mathematics of Control Signals and Systems, Volume 2, No. 4, 1989.

K. Hornik, M. Stinchcombe, H. Whit, Multilayer feedforward networks are universal approximators, Neural Networks, Volume 2, No. 5, pages 359-366, 1989.

K. Hornik, “Approximation capabilities of multilayer feed forward networks”, Neural Networks, Volume 4, No. 2, pages 251–257, 1991.

A. Barron,” Approximation and estimation bounds for artificial neural networks”, Neural Networks, Volume 14, No. 1, pages 115-133, 1994.

J. Bruna, S. Mallat, “Invariant scattering convolution networks, IEEE Transaction on Pattern Analysis and Machine Intelligence, 2013.