there or are not there since there are no spurious local minima then the gradient flow has basically no choice than to good for the good one then to go for the good one and if they are spurious local minima then then it's a high dimensional problem there will typically be exponentially many of them so the intuition is that it will just fall into one of the exponentially many and not the good one so in this model this is actually the model is so kind of basic that we can we have access to actually counting exactly