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Igor Aizenberg, Solving the XOR and Parity N Problems Using a Single Universal Binary Neuron, Soft Computing, vol. 12, No 3, February, 2008,
 

Summary: Igor Aizenberg, Solving the XOR and Parity N Problems Using a Single
Universal Binary Neuron, Soft Computing, vol. 12, No 3, February, 2008,
pp. 215-222
1
SOLVING THE XOR AND PARITY N
PROBLEMS USING A SINGLE UNIVERSAL
BINARY NEURON
IGOR AIZENBERG
Texas A&M University-Texarkana
Department of Computer and Information Sciences
P.O. Box 5518, 2600 N. Robison Rd. Texarkana, Texas 75505 USA
Phone (1 903) 223-31-83; Fax: (1 903) 223-3189
e-mail: igor.aizenberg@tamut.edu
ABSTRACT
A universal binary neuron (UBN) operates with complex-valued weights and a complex-valued
activation function, which is the function of the argument of the weighted sum. The activation
function of a UBN separates a whole complex plane onto equal sectors, where the activation
function is equal to either 1 or -1 depending on the sector parity (even or odd, respectively). Thus,
the UBN output is determined by the argument of the weighted sum. This makes possible the
implementation of the nonlinearly separable (non-threshold) Boolean functions on a single neuron.

  

Source: Aizenberg, Igor - College of Science, Technology, Engineering, and Mathematics, Texas A&M University at Texarkana

 

Collections: Computer Technologies and Information Sciences