Abstract: For support vector ordinal regression machine, its statistical learning element is studied in this paper.
Using structural risk minimization principle, we reduce one of
ordinal regression machine, which is called structural risk
minimization ordinal regression machine. Furthermore, the relation
of solution between structural risk minimization ordinal regression
machine and support vector ordinal regression machine is proved.
From the statistical point of view, support vector ordinal
regression machine is a direct implementation of structural risk
minimization principle.

Key words: optimization problem, ordinal regression problem, support vector ordinal regression machine, structural risk minimization ordinal regression machine