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# Orthogonality of Decision Boundaries in Complex-Valued Neural Networks

@article{Nitta2004OrthogonalityOD, title={Orthogonality of Decision Boundaries in Complex-Valued Neural Networks}, author={Tohru Nitta}, journal={Neural Computation}, year={2004}, volume={16}, pages={73-97} }

- Published 2004 in Neural Computation
DOI:10.1162/08997660460734001

This letter presents some results of an analysis on the decision boundaries of complex-valued neural networks whose weights, threshold values, input and output signals are all complex numbers. The main results may be summarized as follows. (1) A decision boundary of a single complex-valued neuron consists of two hypersurfaces that intersect orthogonally, and divides a decision region into four equal sections. The XOR problem and the detection of symmetry problem that cannot be solved with two… CONTINUE READING