effects so the regularization induces a tiebreaking and now you really do need to find like a global minimizer of this regularize objective so how to do this the answer is not fully satisfying but we can say something so take a very very very very wide network think of this as like wider than anything you've seen exponential in D or X Panetti whatever infinite okay then run gradient descent with a particular noise scheme then you convert your global minimizer in polynomial time polynomial in the dimension and in one over epsilon