enough networks as long as your loss is any convex function your you can get a statement like this ok so after we so here's a simpler way to interpret these statements if you don't want to read 15 pages of calculating algebra one way to interpret these statements is a statement about the local geometry of the loss function you take your random initialization draw a ball around it of some norms see for some appropriate seat that depends on the width you set every critical point in B is a global minimizer and there's at least one