Determining overlap of classes in the n-dimensional Boolean space

Author

De Padua Braga, Antonio ; Aleksander, Igor

Author_Institution

Dept. of Electr. Eng., Imperial Coll. of Sci., Technol. & Med., London, UK

Volume

7

fYear

1994

fDate

27 Jun-2 Jul 1994

Abstract

This paper presents a solution to the problem of determining the distribution of the n-dimensional Boolean space in relation to two arbitrary patterns which are separated by a fixed distance h in such space. The estimation of such distribution allows the evaluation of the amount of overlap between the two corresponding r-spheres, which is a measure of the correlation between the classes determined by the patterns. This work is significant for applications in pattern recognition as well as for works on storage capacity and retrievability of patterns in Boolean neural networks

Keywords

Boolean functions; content-addressable storage; correlation methods; neural nets; pattern classification; Boolean neural networks; class overlapping; correlation; n-dimensional Boolean space distribution; pattern recognition; pattern retrievability; sparse distributed memory; storage capacity; Codes; Educational institutions; Geometry; Information theory; Neural networks; Pattern recognition; Visualization;

fLanguage

English

Publisher

ieee

Conference_Titel

Neural Networks, 1994. IEEE World Congress on Computational Intelligence., 1994 IEEE International Conference on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-1901-X

Type

conf

DOI

10.1109/ICNN.1994.375050

Filename

375050