I mean just even the site also yeah if you're careful you it's polynomial this paper doesn't talk about I'm not sure they talk okay so somewhat this at least tells us that at least locally we optimization is not a big deal so perhaps you can believe that if you your learning rate initially is not very big you can get your optimization error kind of small if you try to use this kind of method to get an analysis of generalization error unsurprisingly since your feature scheme is not changing what you'll find is