u need to be on the right side
of the hyperplane by a given amount, and then there is no more loss.
That's the reason you need the penalty, for the 1 to make sense. Otherwise you could just scale up
$w$ to make it far enough on the right side. But the regularization penalizes growing $w$.

The hinge loss has a kink, same as the l1 norm, and so it's not a smooth optimization problem
any more, but that's not really a big deal. What's interesting is that all the points
that are classified correctly with a marg