then this from this you can kind of read off the results if you lambda very small it's saying let me use as much norm as possible but among those I need a fit I need to make the worst case margin good so among solutions of the same norm we prefer the largest margin okay so how does so how does over parametrization improve the margin this is completely obvious if I have a network and this site if I have a sub network of this network the margin can only improve so if you have a Rademacher bound that's a independent of the explicit number of