@article{magneticpreferenceoptimizationachieving,
  title = {Magnetic Preference Optimization: Achieving Last-iterate Convergence for Language Model Alignment},
  author = {Mingzhi Wang and Chengdong Ma and Qizhi Chen and Linjian Meng and Yang Han and Jiancong Xiao and Zhaowei Zhang and Jing Huo and Weijie J. Su and Yaodong Yang},
  year = {2024},
  eprint = {2410.16714},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2410.16714v3},
}