@article{stochasticmodifiedequationsanddynamicsof,
  title = {Stochastic Modified Equations and Dynamics of Stochastic Gradient Algorithms I: Mathematical Foundations},
  author = {Qianxiao Li and Cheng Tai and Weinan E},
  year = {2018},
  eprint = {1811.01558},
  archivePrefix = {arXiv},
  url = {http://arxiv.org/abs/1811.01558v1},
}