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home / papers / 2026 / LoVeC: Reinforcement Learning for Better Verbalized Confidence in Long-Form Generation

LoVeC: Reinforcement Learning for Better Verbalized Confidence in Long-Form Generation

Paper · 2026 · Caiqi Zhang, Xiaochen Zhu, Chengzu Li et al.

Summary

LLMs often hallucinate in long factual answers. Most existing ways to flag unreliable content are post-hoc and expensive: they sample many responses or call an external model such as GPT-4 to split text into claims. LoVeC (Long-form Verbalized Confidence) instead trains a model to write a numerical confidence tag after every sentence while it generates, in a single decoding pass.

The authors use two reinforcement learning variants:

  • DPO (off-policy), trained on preference pairs labelled by an oracle fact-checker.
  • GRPO (on-policy), which needs no oracle and uses a reward that ties confidence to factuality.

The authors also introduce a pair of evaluation protocols. Under free-form tagging, answer text and confidence tags are produced jointly. In iterative tagging, it scores a fixed response sentence by sentence, which makes models directly comparable.

On Llama-3-8B-Instruct and Gemma-2-9B-It, across three long-form QA datasets (in-domain and out-of-domain), LoVeC is better calibrated than the baselines, transfers to short-form QA, and runs about 20× faster than self-consistency methods. This yields a cheap, machine-readable hallucination signal.

Key points

  • Confidence is a bounded number placed in <confidence> tags after each sentence. Unlike linguistic hedges such as those used by LoGU, these tags are easy to parse and threshold.
  • In an ablation, DPO preference labels from GPT-4o were replaced with labels from a frozen copy of the model itself. Self-labelling performed slightly worse but still beat the strongest baseline, LUQ.
  • For GRPO, a log-based reward (a proper scoring rule) calibrated better than linear or quadratic rewards. Swapping SFT's cross-entropy loss for a regression loss gave no improvement.
  • An analysis of next-token probabilities for the confidence score showed clear ordinal structure for GRPO, partial ordering for DPO, and little or none for SFT.
  • The authors recommend GRPO when compute is plentiful and DPO as the lighter option. The method requires white-box model access and covers factuality only.

Our summary of the paper, in our own words — not its text. The work belongs to its authors; read it at the links above.

 Institutions

 Fields, topics and concepts

Cite

Cite as Caiqi Zhang, Xiaochen Zhu, Chengzu Li, Nigel Collier and Andreas Vlachos. 2026. LoVeC: Reinforcement Learning for Better Verbalized Confidence in Long-Form Generation. Proceedings of the 64th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers).

The paper itself, not this page. BibTeX from the library's record of the work. DOI 10.18653/v1/2026.acl-long.1539

@inproceedings{zhang2026lovec,
  title = {{LoVeC: Reinforcement Learning for Better Verbalized Confidence in Long-Form Generation}},
  author = {Caiqi Zhang, Xiaochen Zhu, Chengzu Li, Nigel Collier and Andreas Vlachos},
  booktitle = {Proceedings of the 64th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers)},
  year = {2026},
  doi = {10.18653/v1/2026.acl-long.1539},
  url = {https://doi.org/10.18653/v1/2026.acl-long.1539}
}

References

61 references, 24 of them with a card of ours. ↗ leads to the work, «find» searches for one we have no id for yet.

  1. Neil Band, Xuechen Li, Tengyu Ma, and Tatsunori Hashimoto. 2024. Linguistic calibration of long-form generations. In Forty-first International Conference on Machine Learning, ICML 2024, Vienna, Austria, July 21-27, 2024. OpenReview.net. find
  2. Yuji Cao, Huan Zhao, Yuheng Cheng, Ting Shu, Yue Chen, Guolong Liu, Gaoqi Liang, Junhua Zhao, Jinyue Yan, and Yun Li. 2024. Survey on large language model-enhanced reinforcement learning: Concept, taxonomy, and methods. IEEE Transactions on Neural Networks and Learning Systems. find
  3. Lida Chen, Zujie Liang, Xintao Wang, Jiaqing Liang, Yanghua Xiao, Feng Wei, Jinglei Chen, Zhenghong Hao, Bing Han, and Wei Wang. 2024. Teaching large language models to express knowledge boundary from their own signals. find
  4. Qinyuan Cheng, Tianxiang Sun, Xiangyang Liu, Wenwei Zhang, Zhangyue Yin, Shimin Li, Linyang Li, Zhengfu He, Kai Chen, and Xipeng Qiu. 2024. Can AI assistants know what they don’t know? In Forty-first International Conference on Machine Learning, ICML 2024, Vienna, Austria, July 21-27, 2024. Open-Rev… find
  5. Paul F Christiano, Jan Leike, Tom Brown, Miljan Martic, Shane Legg, and Dario Amodei. 2017. Deep reinforcement learning from human preferences. Advances in neural information processing systems, 30. find
  6. Jinhao Duan, Hao Cheng, Shiqi Wang, Chenan Wang, Alex Zavalny, Renjing Xu, Bhavya Kailkhura, and Kaidi Xu. 2023. Shifting attention to relevance: Towards the uncertainty estimation of large language models. ArXiv preprint, abs/2307.01379. find
  7. Ekaterina Fadeeva, Aleksandr Rubashevskii, Artem Shelmanov, Sergey Petrakov, Haonan Li, Hamdy Mubarak, Evgenii Tsymbalov, Gleb Kuzmin, Alexander Panchenko, Timothy Baldwin, Preslav Nakov, and Maxim Panov. 2024. Fact-checking the output of large language models via token-level uncertainty quantificat…
  8. Daya Guo, Dejian Yang, Haowei Zhang, Junxiao Song, Ruoyu Zhang, Runxin Xu, Qihao Zhu, Shirong Ma, Peiyi Wang, Xiao Bi, and 1 others. 2025. Deepseek-r1: Incentivizing reasoning capability in llms via reinforcement learning. arXiv preprint arXiv:2501.12948.
  9. Haixia Han, Tingyun Li, Shisong Chen, Jie Shi, Chengyu Du, Yanghua Xiao, Jiaqing Liang, and Xin Lin. 2024. Enhancing confidence expression in large language models through learning from past experience. find
  10. Alex Havrilla, Yuqing Du, Sharath Chandra Raparthy, Christoforos Nalmpantis, Jane Dwivedi-Yu, Maksym Zhuravinskyi, Eric Hambro, Sainbayar Sukhbaatar, and Roberta Raileanu. 2024. Teaching large language models to reason with reinforcement learning. arXiv preprint arXiv:2403.04642.
  11. Chengsong Huang, Langlin Huang, Jixuan Leng, Jiacheng Liu, and Jiaxin Huang. 2025. Efficient test-time scaling via self-calibration. Preprint, arXiv:2503.00031. — [arXiv:2503.00031](https://arxiv.org/abs/2503.00031) find
  12. Lei Huang, Weijiang Yu, Weitao Ma, Weihong Zhong, Zhangyin Feng, Haotian Wang, Qianglong Chen, Weihua Peng, Xiaocheng Feng, Bing Qin, and Ting Liu. 2023. A survey on hallucination in large language models: Principles, taxonomy, challenges, and open questions. Preprint, arXiv:2311.05232.
  13. Yukun Huang, Yixin Liu, Raghuveer Thirukovalluru, Arman Cohan, and Bhuwan Dhingra. 2024a. Calibrating long-form generations from large language models. Preprint, arXiv:2402.06544. find
  14. Yukun Huang, Yixin Liu, Raghuveer Thirukovalluru, Arman Cohan, and Bhuwan Dhingra. 2024b. Calibrating long-form generations from large language models. In Findings of the Association for Computational Linguistics: EMNLP 2024, pages 13441– 13460, Miami, Florida, USA. Association for Computational Lin… find
  15. Mingjian Jiang, Yangjun Ruan, Prasanna Sattigeri, Salim Roukos, and Tatsunori Hashimoto. 2024. Graph-based uncertainty metrics for long-form language model outputs. ArXiv preprint, abs/2410.20783. — [arXiv:2410.20783](https://arxiv.org/abs/2410.20783) find
  16. Mandar Joshi, Eunsol Choi, Daniel Weld, and Luke Zettlemoyer. 2017. TriviaQA: A large scale distantly supervised challenge dataset for reading comprehension. In Proceedings of the 55th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers), pages 1601–1611, Vancouver…
  17. Saurav Kadavath, Tom Conerly, Amanda Askell, Tom Henighan, Dawn Drain, Ethan Perez, Nicholas Schiefer, Zac Hatfield-Dodds, Nova DasSarma, Eli Tran-Johnson, Scott Johnston, Sheer El-Showk, Andy Jones, Nelson Elhage, Tristan Hume, Anna Chen, Yuntao Bai, Sam Bowman, Stanislav Fort, and 17 others. 2022.… find
  18. Robert Kirk, Ishita Mediratta, Christoforos Nalmpantis, Jelena Luketina, Eric Hambro, Edward Grefenstette, and Roberta Raileanu. 2023. Understanding the effects of rlhf on llm generalisation and diversity. arXiv preprint arXiv:2310.06452.
  19. Edward J. Hu, Yelong Shen, Phillip Wallis, Zeyuan Allen-Zhu, Yuanzhi Li, Shean Wang, Lu Wang, and Weizhu Chen. 2022. Lora: Low-rank adaptation of large language models. In The Tenth International Conference on Learning Representations, ICLR 2022, Virtual Event, April 25-29, 2022. OpenReview.net.
  20. Lorenz Kuhn, Yarin Gal, and Sebastian Farquhar. 2023. Semantic uncertainty: Linguistic invariances for uncertainty estimation in natural language generation. In The Eleventh International Conference on Learning Representations, ICLR 2023, Kigali, Rwanda, May 1-5, 2023. OpenReview.net.
  21. Chao-Wei Huang and Yun-Nung Chen. 2024. FactAl-ign: Long-form factuality alignment of large language models. In Findings of the Association for Computational Linguistics: EMNLP 2024, pages 16363–16375, Miami, Florida, USA. Association for Computational Linguistics. find
  22. Aviral Kumar, Vincent Zhuang, Rishabh Agarwal, Yi Su, John D Co-Reyes, Avi Singh, Kate Baumli, Shariq Iqbal, Colton Bishop, Rebecca Roelofs, and 1 others. 2024. Training language models to self-correct via reinforcement learning. arXiv preprint arXiv:2409.12917.
  23. Woosuk Kwon, Zhuohan Li, Siyuan Zhuang, Ying Sheng, Lianmin Zheng, Cody Hao Yu, Joseph Gonzalez, Hao Zhang, and Ion Stoica. 2023. Efficient memory management for large language model serving with pagedattention. In Proceedings of the 29th Symposium on Operating Systems Principles, pages 611–626.
  24. Harrison Lee, Samrat Phatale, Hassan Mansoor, Thomas Mesnard, Johan Ferret, Kellie Lu, Colton Bishop, Ethan Hall, Victor Carbune, Abhinav Rastogi, and 1 others. 2023. Rlaif vs. rlhf: Scaling reinforcement learning from human feedback with ai feedback. arXiv preprint arXiv:2309.00267. find
  25. Jiaqi Li, Yixuan Tang, and Yi Yang. 2024. Know the unknown: An uncertainty-sensitive method for llm instruction tuning. find
  26. Stephanie Lin, Jacob Hilton, and Owain Evans. 2022. Teaching models to express their uncertainty in words. ArXiv preprint, abs/2205.14334. find
  27. Zhen Lin, Shubhendu Trivedi, and Jimeng Sun. 2023. Generating with confidence: Uncertainty quantification for black-box large language models. Preprint, arXiv:2305.19187. find
  28. Xin Liu, Muhammad Khalifa, and Lu Wang. 2024. Litcab: Lightweight language model calibration over short- and long-form responses. In The Twelfth International Conference on Learning Representations, ICLR 2024, Vienna, Austria, May 7-11, 2024. Open-Review.net. find
  29. Andrey Malinin and Mark Gales. 2021. Uncertainty estimation in autoregressive structured prediction. In International Conference on Learning Representations. find
  30. Alex Mallen, Akari Asai, Victor Zhong, Rajarshi Das, Daniel Khashabi, and Hannaneh Hajishirzi. 2023. When not to trust language models: Investigating effectiveness of parametric and non-parametric memories. In Proceedings of the 61st Annual Meeting of the Association for Computational Linguistics (V… find
  31. Potsawee Manakul, Adian Liusie, and Mark Gales. 2023. SelfCheckGPT: Zero-resource black-box hallucination detection for generative large language models. In Proceedings of the 2023 Conference on Empirical Methods in Natural Language Processing, pages 9004–9017, Singapore. Association for Computation… find
  32. Meta. 2024. Llama 3 model card. find
  33. Sewon Min, Kalpesh Krishna, Xinxi Lyu, Mike Lewis, Wen-tau Yih, Pang Koh, Mohit Iyyer, Luke Zettlemoyer, and Hannaneh Hajishirzi. 2023. FActScore: Fine-grained atomic evaluation of factual precision in long form text generation. In Proceedings of the 2023 Conference on Empirical Methods in Natural L…
  34. OpenAI. 2023. Gpt-4 technical report.
  35. Long Ouyang, Jeffrey Wu, Xu Jiang, Diogo Almeida, Carroll Wainwright, Pamela Mishkin, Chong Zhang, Sandhini Agarwal, Katarina Slama, Alex Ray, and 1 others. 2022. Training language models to follow instructions with human feedback. Advances in neural information processing systems, 35:27730–27744.
  36. Rafael Rafailov, Archit Sharma, Eric Mitchell, Christopher D. Manning, Stefano Ermon, and Chelsea Finn. 2023a. Direct preference optimization: Your language model is secretly a reward model. In Advances in Neural Information Processing Systems 36: Annual Conference on Neural Information Processing S…
  37. Rafael Rafailov, Archit Sharma, Eric Mitchell, Christopher D Manning, Stefano Ermon, and Chelsea Finn. 2023b. Direct preference optimization: Your language model is secretly a reward model. Advances in Neural Information Processing Systems, 36:53728– 53741.
  38. Nils Reimers and Iryna Gurevych. 2019. Sentence-bert: Sentence embeddings using siamese bert-networks. In Proceedings of the 2019 Conference on Empirical Methods in Natural Language Processing. Association for Computational Linguistics.
  39. John Schulman, Filip Wolski, Prafulla Dhariwal, Alec Radford, and Oleg Klimov. 2017. Proximal policy optimization algorithms. arXiv preprint arXiv:1707.06347. find
  40. Amrith Setlur, Nived Rajaraman, Sergey Levine, and Aviral Kumar. 2025. Scaling test-time compute without verification or rl is suboptimal. arXiv preprint arXiv:2502.12118. find
  41. Zhihong Shao, Peiyi Wang, Qihao Zhu, Runxin Xu, Junxiao Song, Xiao Bi, Haowei Zhang, Mingchuan Zhang, YK Li, Y Wu, and 1 others. 2024. Deepseekmath: Pushing the limits of mathematical reasoning in open language models, 2024. URL https://arxiv.org/abs/2402.03300. ↗
  42. Paul Stangel, David Bani-Harouni, Chantal Pellegrini, Ege Özsoy, Kamilia Zaripova, Matthias Keicher, and Nassir Navab. 2025. Rewarding doubt: A reinforcement learning approach to confidence calibration of large language models. arXiv preprint arXiv:2503.02623. — [arXiv:2503.02623](https://arxiv.org/abs/2503.02623) find
  43. Gemma Team, Morgane Riviere, Shreya Pathak, Pier Giuseppe Sessa, Cassidy Hardin, Surya Bhupatiraju, Léonard Hussenot, Thomas Mesnard, Bobak Shahriari, Alexandre Ramé, and 1 others. 2024. Gemma 2: Improving open language models at a practical size. arXiv preprint arXiv:2408.00118. find
  44. Katherine Tian, Eric Mitchell, Allan Zhou, Archit Sharma, Rafael Rafailov, Huaxiu Yao, Chelsea Finn, and Christopher Manning. 2023. Just ask for calibration: Strategies for eliciting calibrated confidence scores from language models fine-tuned with human feedback. In Proceedings of the 2023 Conferen… find
  45. Dennis Ulmer, Martin Gubri, Hwaran Lee, Sangdoo Yun, and Seong Oh. 2024. Calibrating large language models using their generations only. In Proceedings of the 62nd Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers), pages 15440–15459, Bangkok, Thailand. Associati… find
  46. Artem Vazhentsev, Akim Tsvigun, Roman Vashurin, Sergey Petrakov, Daniil Vasilev, Maxim Panov, Alexander Panchenko, and Artem Shelmanov. 2023. Efficient out-of-domain detection for sequence to sequence models. In Findings of the Association for Computational Linguistics: ACL 2023, pages 1430– 1454, T… find
  47. Leandro von Werra, Younes Belkada, Lewis Tunstall, Edward Beeching, Tristan Thrush, Nathan Lambert, Shengyi Huang, Kashif Rasul, and Quentin Gallouédec. 2020. Trl: Transformer reinforcement learning. https://github.com/huggingface/trl. ↗
  48. Jerry Wei, Chengrun Yang, Xinying Song, Yifeng Lu, Nathan Hu, Jie Huang, Dustin Tran, Daiyi Peng, Ruibo Liu, Da Huang, Cosmo Du, and Quoc V. Le. 2024. Long-form factuality in large language models. In Advances in Neural Information Processing Systems 38: Annual Conference on Neural Information Proce…
  49. Miao Xiong, Zhiyuan Hu, Xinyang Lu, Yifei Li, Jie Fu, Junxian He, and Bryan Hooi. 2024. Can llms express their uncertainty? an empirical evaluation of confidence elicitation in llms. In The Twelfth International Conference on Learning Representations, ICLR 2024, Vienna, Austria, May 7-11, 2024. Open… find
  50. Tianyang Xu, Shujin Wu, Shizhe Diao, Xiaoze Liu, Xingyao Wang, Yangyi Chen, and Jing Gao. 2024. Sayself: Teaching llms to express confidence with self-reflective rationales. Preprint, arXiv:2405.20974. find
  51. Ruihan Yang, Caiqi Zhang, Zhisong Zhang, Xinting Huang, Sen Yang, Nigel Collier, Dong Yu, and Deqing Yang. 2025a. LoGU: Long-form generation with uncertainty expressions. In Proceedings of the 63rd Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers), pages 18947–1…
  52. Ruihan Yang, Caiqi Zhang, Zhisong Zhang, Xinting Huang, Dong Yu, Nigel Collier, and Deqing Yang. 2025b. UNCLE: Benchmarking uncertainty expressions in long-form generation. In Proceedings of the 2025 Conference on Empirical Methods in Natural Language Processing, pages 30340–30356, Suzhou, China. As… find
  53. Caiqi Zhang, Fangyu Liu, Marco Basaldella, and Nigel Collier. 2024a. LUQ: Long-text uncertainty quantification for LLMs. In Proceedings of the 2024 Conference on Empirical Methods in Natural Language Processing, pages 5244–5262, Miami, Florida, USA. Association for Computational Linguistics.
  54. Caiqi Zhang, Chang Shu, Ehsan Shareghi, and Nigel Collier. 2025a. All roads lead to Rome: Graph-based confidence estimation for large language model reasoning. In Proceedings of the 2025 Conference on Empirical Methods in Natural Language Processing, pages 31814–31824, Suzhou, China. Association for… find
  55. Caiqi Zhang, Ruihan Yang, Zhisong Zhang, Xinting Huang, Sen Yang, Dong Yu, and Nigel Collier. 2025b. Atomic calibration of LLMs in long-form generations. In Proceedings of the 14th International Joint Conference on Natural Language Processing and the 4th Conference of the Asia-Pacific Chapter of the… find
  56. Caiqi Zhang, Ruihan Yang, Xiaochen Zhu, Chengzu Li, Tiancheng Hu, Yijiang River Dong, Deqing Yang, and Nigel Collier. 2026. Confidence estimation for llms in multi-turn interactions. arXiv preprint arXiv:2601.02179.
  57. Hanning Zhang, Shizhe Diao, Yong Lin, Yi Fung, Qing Lian, Xingyao Wang, Yangyi Chen, Heng Ji, and Tong Zhang. 2024b. R-tuning: Instructing large language models to say ‘I don‘t know’. In Proceedings of the 2024 Conference of the North American Chapter of the Association for Computational Linguistics…
  58. Hanning Zhang, Shizhe Diao, Yong Lin, Yi Fung, Qing Lian, Xingyao Wang, Yangyi Chen, Heng Ji, and Tong Zhang. 2024c. R-tuning: Instructing large language models to say ‘I don’t know’. In Proceedings of the 2024 Conference of the North American Chapter of the Association for Computational Linguistics…
  59. Yue Zhang, Yafu Li, Leyang Cui, Deng Cai, Lemao Liu, Tingchen Fu, Xinting Huang, Enbo Zhao, Yu Zhang, Yulong Chen, and 1 others. 2023. Siren’s song in the ai ocean: a survey on hallucination in large language models. ArXiv preprint, abs/2309.01219.
  60. Wenting Zhao, Tanya Goyal, Yu Ying Chiu, Liwei Jiang, Benjamin Newman, Abhilasha Ravichander, Khyathi Chandu, Ronan Le Bras, Claire Cardie, Yuntian Deng, and Yejin Choi. 2024. Wildhallucinations: Evaluating long-form factuality in llms with real-world entity queries. find
  61. Ej Zhou, Caiqi Zhang, Tiancheng Hu, Chengzu Li, Nigel Collier, Ivan Vulić, and Anna Korhonen. 2025. Beyond the final layer: Intermediate representations for better multilingual calibration in large language models. arXiv preprint arXiv:2510.03136. — [arXiv:2510.03136](https://arxiv.org/abs/2510.03136) find

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