@article{geometricaveragedpreferenceoptimization,
  title = {Geometric-Averaged Preference Optimization for Soft Preference Labels},
  author = {Hiroki Furuta and Kuang-Huei Lee and Shixiang Shane Gu and Yutaka Matsuo and Aleksandra Faust and Heiga Zen and Izzeddin Gur},
  year = {2024},
  eprint = {2409.06691},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2409.06691v3},
}