Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 218 / 2 / b

The support vector machine classifier isUnder the constraints, the two classes lie beyond the parallel support-vector-machine margin boundaries $b+x^T\beta =\pm 1$. Their distance is $2/\Vert \beta {\Vert }_2$, so minimizing the norm maximizes the geometric margin. The observations touching the margin are the support vectors.