axis of alpha i obtain that by using over parameterized nail network i can push down the threshold at re starting from which the gradient flow is working down to two so not yet to the 1.13 of amp but much lower than if i was not over parameterizing so the conclusion is here that over parameterized neural networks need fewer samples and this is a quantification of how much fewer samples in this particular model and the open problem would be and that i i really don't know the answer like is there a neural network architecture