Pattern Recognition on Oriented Matroids

Committee Decision Rules of Recognition

Let be a simple oriented matroid whose ground set Et is regarded as a training set in the two-class pattern recognition problem. Denote by the reorientation

$M:{=}_{-{\lambda }^{-1}\left(-1\right)}J.$

Let $\tilde{M}:=(E_t\dot{\cup }\{g\},\widetilde{C^{*}})$ denote the nontrivial single element extension of := (Et, ) = (Et, ) by a ...