A novel Boolean self-organization mapping based on fuzzy geometrical expansion

A novel self-organization mapping algorithm for Boolean neural networks (BSOM) based on geometrical expansion is proposed in this paper. The proposed BSOM algorithm possesses generalization capability. Compared with traditional self organization mapping (SOM) algorithms, BSOM algorithm is based on geometrical expansion, not gradient descent. BSOM algorithm memorizes more vectors in a hidden neuron, not only an exemplar in the center of SOM cell. Finally BSOM algorithm needs less number of iterations and simple training equations. Test results are given on simple Boolean functions, and a randomly generated Boolean function with 10 variables.