the persistence time following the rule that is written here so if we do it this way then we can take the limit of the learning rate to zero and it has actually a well-defined stochastic guide in flow limit so that is the that is the that is the dynamics that's that i will be analyzing on a model that here will be um slightly different so it's not the phase retrieval or the model on which we will be analyzing this it's uh it's just a gaussian mixture a supervised learning of a gaussian mixture so in the two cluster case