Papantoni-Kazakos, P.2007-10-312007-10-311976-11-202003-07-20P. Papantoni-Kazakos, "Some Distance Measures and Their Use in Feature Selection," <i>Rice University ECE Technical Report,</i> vol. TR7611, no. 7611, 1976.https://hdl.handle.net/1911/20197Tech ReportThe Bhattacharyya, I-divergence, Vasershtein, variational and Levy distances are evaluated, compared and used for the reduction of n data to one feature. This reduction is obtained through a restricted linear transformation and the original data are assumed to be originating from two different jointly Gaussian classes. It is found that the Bhattacharyya, I-divergence and Vasershtein distances give the same "optimal" linear transformation that applied on the original n data result in one feature with maximum possible distance between classes. The distortion measures considered in the Vasershtein distance are |x-y| and (x-y)². For the same distance measures and classes with equal covariances the Levy distance results in the same "optimal" linear transformation.engmeasuresdistanceReportmeasuresdistance