that you can use to actually describe what's happening in a model such as this one from the point of view of information theory what is possible statistically and from the point of view of approximate message passing algorithm which ends up to be the best we know for this type of problem and this phase diagram summarizes of what's going on so i will just explain it and then in this talk we are interested what the gradient descent is doing so that will be the new part so on the axis here we have the variances of the noises delta 2 is the