@article{precisegradientdescenttrainingdynamics,
  title = {Precise gradient descent training dynamics for finite-width multi-layer neural networks},
  author = {Qiyang Han and Masaaki Imaizumi},
  year = {2025},
  eprint = {2505.04898},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2505.04898v1},
}