signal or does not so if i put these two together i actually get the third expression here a conjecture for where is the line above which the gradient descent or lounge of our dynamics depending on what the parameter t here will work and so this leads me to the following conjecture it you know the contractor is that gradient flow with random initialization finds you know in time that is it finds the optimal correlation with the signal in time that is proportional to the to the input size which is n to the power p times some polynomial