@article{optimizinganytimereasoningviabudget,
  title = {Optimizing Anytime Reasoning via Budget Relative Policy Optimization},
  author = {Penghui Qi and Zichen Liu and Tianyu Pang and Chao Du and Wee Sun Lee and Min Lin},
  year = {2025},
  eprint = {2505.13438},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2505.13438v1},
}