title: The uniqueness theorem for complex-valued neural networks with threshold parameters and the redundancy of the parameters.
abstract: This paper will prove the uniqueness theorem for 3-layered complex-valued neural networks where the threshold parameters of the hidden neurons can take non-zeros. That is, if a 3-layered complex-valued neural network is irreducible, the 3-layered complex-valued neural network that approximates a given complex-valued function is uniquely determined up to a finite group on the transformations of the learnable parameters of the complex-valued neural network.
authors.affiliation: National Institute of Advanced Industrial Science and Technology, AIST Tsukuba Central 2, 1-1-1 Umezono, Tsukuba-shi, Ibaraki, 305-8568, Japan. tohru-nitta@aist.go.jp
authors.forename: Tohru
authors.initials: T
authors.lastname: Nitta
mesh_terms: D000465:Algorithms; D000818:Animals; D003198:Computer Simulation; D005246:Feedback; D006801:Humans; D008959:Models, Neurological; D016571:Neural Networks, Computer; D017711:Nonlinear Dynamics; D012815:Signal Processing, Computer-Assisted