@article{onthesdesandscalingrulesforadaptive,
  title = {On the SDEs and Scaling Rules for Adaptive Gradient Algorithms},
  author = {Sadhika Malladi and Kaifeng Lyu and Abhishek Panigrahi and Sanjeev Arora},
  year = {2022},
  eprint = {2205.10287},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2205.10287v3},
}