Before revision:  Instead, inspired by the long-time correlation emerging in  SGN series, we propose that SGD can be viewed as a discretization of an SDE driven by \textit{fractional Brownian motion (FBM).
After revision:  Instead, inspired by the short-range correlation emerging in SGN series, we propose that SGD can be viewed as a discretization of an SDE driven by \textit{fractional Brownian motion (FBM).