@article{JMLR:v26:23-1691,
  author  = {Yuqing Wang and Zhenghao Xu and Tuo Zhao and Molei Tao},
  title   = {Good regularity creates large learning rate implicit biases: edge of stability, balancing, and catapult},
  journal = {Journal of Machine Learning Research},
  year    = {2025},
  volume  = {26},
  number  = {273},
  pages   = {1--68},
  url     = {http://jmlr.org/papers/v26/23-1691.html}
}