so just to you know set up the stage of what is known and what kind of we can expect so as i said if ignoring gradient descent we know that starting from one the problem is solvable information theoretically and starting from 1.13 by some very adapted algorithm to this problem for the gradient flow what we know is is this work that that popped here that vigorously shows that randomly initialized gradient descent will need uh we'll need the dimension times some polynomial of the log of the dimension samples in order to be able to solve the problem