what i mean by you know more precisely was the longevity algorithm and the gradient flow it's simply the derivative so i will be working with the continuous time version here because that's the one that i know how to analyze so it's the time derivative of the x that's the variable over which i'm optimizing is simply equal to minus the gradient of the hamiltonian or the loss function plus a term that corresponds to weight decay or spherical constraint it would be called in physics plus noise that either is there and has a