Random sampling techniques have been developed in for geometric/combinatorial optimization problems; see, e.g., \cite{clarkson:focs88,clarkson:jacm95,adler-shamir:mathprog93,gartner-welzl:draft99}. In this note, we apply one of these techniques for obtaining (hopefully) efficient support vector machine training algorithm. In particular, we propose one way to find ``outliers'' by using the sampling technique.