@article{trapoasemisupervisedreinforcementlearnin, title = {TraPO: A Semi-Supervised Reinforcement Learning Framework for Boosting LLM Reasoning}, author = {Shenzhi Yang and Guangcheng Zhu and Xing Zheng and Yingfan MA and Zhongqi Chen and Bowen Song and Weiqiang Wang and Junbo Zhao and Gang Chen and Haobo Wang}, year = {2025}, eprint = {2512.13106}, archivePrefix = {arXiv}, url = {https://arxiv.org/abs/2512.13106}, }