DeepSeek-R1 incentivizes reasoning in LLMs through reinforcement learning

Guo, D., Yang, D., Zhang, H., Song, J., Wang, P., Zhu, Q., Xu, R., Zhang, R., Ma, S., Bi, X., Zhang, X., Yu, X., Wu, Z., Gou, Z., Shao, Z., Li, Z., Gao, Z., Liu, A., Xue, B., . . . Cai, J. (2025). DeepSeek-R1 incentivizes reasoning in LLMs through reinforcement learning. Nature, 645(8081), 633–638. https://doi.org/10.1038/s41586-025-09422-z

Guo, Daya, et al. “DeepSeek-R1 incentivizes reasoning in LLMs through reinforcement learning.” Nature, vol. 645, no. 8081, 2025, pp. 633–38, https://doi.org/10.1038/s41586-025-09422-z.

Guo, Daya, Dejian Yang, Haowei Zhang, Junxiao Song, Peiyi Wang, Qihao Zhu, Runxin Xu, et al. 2025. “DeepSeek-R1 incentivizes reasoning in LLMs through reinforcement learning.” Nature 645 (8081): 633–38. https://doi.org/10.1038/s41586-025-09422-z.

Guo, D. et al. (2025) ‘DeepSeek-R1 incentivizes reasoning in LLMs through reinforcement learning’, Nature, 645(8081), pp. 633–638. Available at: https://doi.org/10.1038/s41586-025-09422-z.

@article{guo2025deepseek,
  title = {{DeepSeek-R1 incentivizes reasoning in LLMs through reinforcement learning}},
  author = {Guo, Daya and Yang, Dejian and Zhang, Haowei and Song, Junxiao and Wang, Peiyi and Zhu, Qihao and Xu, Runxin and Zhang, Ruoyu and Ma, Shirong and Bi, Xiao and Zhang, Xiaokang and Yu, Xingkai and Wu, Zhenhua and Gou, Zhibin and Shao, Zhihong and Li, Zhuoshu and Gao, Ziyi and Liu, Aixin and Xue, Bing and Wang, Bingxuan and Wu, Bowen and Feng, Bei and Lu, Chengda and Zhao, Chenggang and Deng, Chengqi and Ruan, Chong and Dai, Damai and Chen, Deli and Ji, Dongjie and Li, Erhang and Lin, Fangyun and Dai, Fengze and Luo, Fuli and Hao, Guangbo and Chen, Guan-Ting and Li, Guowei and Zhang, Hongjun and Xu, Hanwei and Ding, Honghui and Gao, Huazuo and Qu, Hui and Li, Hui and Guo, Jianzhong and Li, Jiashi and Chen, Jingchang and Yuan, Jingyang and Tu, Jiagang and Qiu, Junjie and Li, Junlong and Cai, Jiali and others},
  journal = {Nature},
  volume = {645},
  number = {8081},
  pages = {633--638},
  year = {2025},
  doi = {10.1038/s41586-025-09422-z}
}