Is the plasticity update guaranteed to reach equilibrium assuming the network is run on iid data (as in do the H_{ij} values reach a fixed point)?

Edit: Seems like it should be reached eventually as the equilibrium point is H_ij = y_i * y_j and they keep doing a weighted average of the former with the latter (this is not a proof ofc as y_i * y_j keeps changing with each sample).