Pattern Recognition on Oriented Matroids

7Layers of Tope Committees

Let := (Et, ) be a simple oriented matroid (recall that throughout the book “simple” means that has no loops, parallel elements, or antiparallel elements) of rank r() ≥ 2, on its ground set Et := [t], with set of topes $T\subset {\{-1,1\}}^{E_t}:={\{-1,1\}}^t.$

It was shown in Chapter 1 that the family of tope committees for ...