@article{relativedensityratiooptimizationforstabl,
  title = {Relative Density Ratio Optimization for Stable and Statistically Consistent Model Alignment},
  author = {Hiroshi Takahashi and Tomoharu Iwata and Atsutoshi Kumagai and Sekitoshi Kanai and Masanori Yamada and Kosuke Nishida and Kazutoshi Shinoda},
  year = {2026},
  eprint = {2604.04410},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2604.04410},
}