Search, Verify and Feedback: Towards Next Generation Post-training Paradigm of Foundation Models via Verifier Engineering
Paper · 2024 · Xinyan Guan, Yanjiang Liu, Xinyu Lu et al.
Summary
Foundation models such as LLMs are now so capable that improving them further through large-scale human annotation is becoming expensive and less effective. This position-and-survey paper from the Chinese Information Processing Laboratory (ISCAS) proposes "verifier engineering" as a post-training paradigm in response. Instead of relying on human labels, a model is improved through automated verifiers that check its outputs and return feedback. The authors present this as the next step after feature engineering (classical ML) and data engineering (deep learning).
They formalize the approach as a Goal-Conditioned Markov Decision Process and organize it as a closed loop of three stages:
- Search: sampling candidate responses.
- Verify: scoring those candidates with combinations of verifiers.
- Feedback: shifting the model's output distribution based on the verification results.
Existing techniques, from RLHF to OmegaPRM and Experiential Co-Learning, are classified within this taxonomy. The paper reports no new experiments; its contribution is a unifying framework and a structured literature review. It matters as a conceptual map for designing scalable supervision beyond manual annotation.
Key points
- Search is split into linear methods (reject sampling, CoT, speculative decoding) and tree methods (beam search, MCTS, ToT, CoT-SC).
- Verifiers are classified along three axes:
- Output form: ranking, binary, score, or text (e.g., PairRM, code interpreter, Bradley-Terry RM, LLM-as-a-Judge).
- Granularity: token-level (value models), thought-level (PRM), or trajectory-level (ORM).
- Source: self-supervised or supervised by humans or a teacher model.
- Feedback is either training-based (SFT/KD, DPO/IPO/KTO, PPO) or inference-based. Inference-based methods are either verifier-guided (e.g., Best-of-N) or verifier-aware (e.g., Self-Debug, ReAct).
- Open challenges include keeping verifiers in sync with the evolving policy and choosing verifier combinations. Others are cross-query generalization without over-generalization, balancing online and offline feedback, and efficiency (e.g., LoRA, vLLM).
- Resource: a curated reading list is available at github.com/icip-cas/Verifier-Engineering (arXiv:2411.11504, November 2024).
Institutions
Fields, topics and concepts
📚 Shelves 4The field of science this work belongs to (OpenAlex fields).Computer Science · 19,503 worksArtificial Intelligence · 18,805 worksArts and Humanities · 17,959 worksLanguage and Linguistics · 17,789 works
🧭 Topics 1Research subjects and languages the work is about.Language models & pretraining · 4,145 works
Cite
Cite as Xinyan Guan, Yanjiang Liu, Xinyu Lu, Boxi Cao, Ben He, Xianpei Han, Le Sun, Jie Lou, Bowen Yu, Yaojie Lu and Hongyu Lin. 2024. Search, Verify and Feedback: Towards Next Generation Post-training Paradigm of Foundation Models via Verifier Engineering. arXiv:2411.11504.
@misc{guan2024search,
title = {{Search, Verify and Feedback: Towards Next Generation Post-training Paradigm of Foundation Models via Verifier Engineering}},
author = {Xinyan Guan, Yanjiang Liu, Xinyu Lu, Boxi Cao, Ben He, Xianpei Han, Le Sun, Jie Lou, Bowen Yu, Yaojie Lu and Hongyu Lin},
year = {2024},
doi = {10.48550/arxiv.2411.11504},
eprint = {2411.11504},
archivePrefix = {arXiv},
url = {https://doi.org/10.48550/arxiv.2411.11504}
}References
- Askell, A., Bai, Y., Chen, A., Drain, D., Ganguli, D., Henighan, T., Jones, A., Joseph, N., Mann, B., DasSarma, N., et al. A general language assistant as a laboratory for alignment. ArXiv preprint, abs/2112.00861, 2021. URL https://arxiv.org/abs/2112.00861. ↗
- Brown, T. B., Mann, B., Ryder, N., Subbiah, M., Kaplan, J., Dhariwal, P., Neelakantan, A., Shyam, P., Sastry, G., Askell, A., Agarwal, S., Herbert-Voss, A., Krueger, G., Henighan, T., Child, R., Ramesh, A., Ziegler, D. M., Wu, J., Winter, C., Hesse, C., Chen, M., Sigler, E., Litwin, M., Gray, S., Ch… — Language Models are Few-Shot Learners
- Azar, M. G., Guo, Z. D., Piot, B., Munos, R., Rowland, M., Valko, M., and Calandriello, D. A general theoretical paradigm to understand learning from human preferences. In International Conference on Artificial Intelligence and Statistics, pp. 4447–4455. PMLR, 2024.
- Burns, C., Izmailov, P., Kirchner, J. H., Baker, B., Gao, L., Aschenbrenner, L., Chen, Y., Ecoffet, A., Joglekar, M., Leike, J., Sutskever, I., and Wu, J. Weak-to-strong generalization: Eliciting strong capabilities with weak supervision, 2023. URL https://arxiv.org/abs/2312. 09390. ↗
- Anthropic. Measuring the persuasiveness of language models, 2024. https://www.anthropic.com/research/ measuring-model-persuasiveness/. ↗
- Cai, Z., Cao, M., Chen, H., Chen, K., Chen, K., Chen, X., Chen, X., Chen, Z., Chen, Z., Chu, P., et al. Internlm2 technical report. arXiv preprint arXiv:2403.17297, 2024.
- Deng, J., Dong, W., Socher, R., Li, L.-J., Li, K., and Fei-Fei, L. Imagenet: A large-scale hierarchical image database. In 2009 IEEE conference on computer vision and pattern recognition, pp. 248–255. find
- Cao, B., Lu, K., Lu, X., Chen, J., Ren, M., Xiang, H., Liu, P., Lu, Y., He, B., Han, X., Sun, L., Lin, H., and Yu, B. Towards scalable automated alignment of llms: A survey, 2024. URL https://arxiv.org/abs/2406.01252. — [arXiv:2406.01252](https://arxiv.org/abs/2406.01252) ↗
- Dhuliawala, S., Komeili, M., Xu, J., Raileanu, R., Li, X., Celikyilmaz, A., and Weston, J. Chain-of-verification reduces hallucination in large language models, 2023. URL https://arxiv.org/abs/2309.11495. ↗
- Chaudhary, S. Code alpaca: An instruction-following llama model for code generation. https://github.com/ sahil280114/codealpaca, 2023. ↗
- Ding, N., Chen, Y., Xu, B., Qin, Y., Zheng, Z., Hu, S., Liu, Z., Sun, M., and Zhou, B. Enhancing chat language models by scaling high-quality instructional conversations. arXiv preprint arXiv:2305.14233, 2023.
- Chen, A., Scheurer, J., Korbak, T., Campos, J. A., Chan, J. S., Bowman, S. R., Cho, K., and Perez, E. Improving code generation by training with natural language feedback, 2024a. URL https://arxiv.org/abs/2303. 16749. ↗
- Dong, H., Xiong, W., Goyal, D., Zhang, Y., Chow, W., Pan, R., Diao, S., Zhang, J., SHUM, K., and Zhang, T. RAFT: Reward ranked finetuning for generative foundation model alignment. Transactions on Machine Learning Research, 2023. ISSN 2835-8856. URL https://openreview.net/forum?id=m7p5O7zblY. ↗
- Chen, G., Liao, M., Li, C., and Fan, K. Alphamath almost zero: process supervision without process. arXiv preprint arXiv:2405.03553, 2024b.
- Dosovitskiy, A., Beyer, L., Kolesnikov, A., Weissenborn, D., Zhai, X., Unterthiner, T., Dehghani, M., Minderer, M., Heigold, G., Gelly, S., Uszkoreit, J., and Houlsby, N. An image is worth 16x16 words: Transformers for image recognition at scale, 2021. URL https://arxiv.org/ abs/2010.11929. ↗
- Chen, W., Ma, X., Wang, X., and Cohen, W. W. Program of thoughts prompting: Disentangling computation from reasoning for numerical reasoning tasks, 2023a. URL https://arxiv.org/abs/2211.12588. ↗
- Chen, X., Lin, M., Schärli, N., and Zhou, D. Teaching large language models to self-debug, 2023b. find
- Du, Q., Zong, C., and Zhang, J. Mods: Model-oriented data selection for instruction tuning. arXiv preprint arXiv:2311.15653, 2023. — [arXiv:2311.15653](https://arxiv.org/abs/2311.15653) find
- Chen, X., Lin, M., Schärli, N., and Zhou, D. Teaching large language models to self-debug, 2023c. URL https://arxiv.org/abs/2304.05128. ↗
- Dubey, A., Jauhri, A., Pandey, A., Kadian, A., Al-Dahle, A., Letman, A., Mathur, A., Schelten, A., Yang, A., Fan, A., et al. The llama 3 herd of models. arXiv preprint arXiv:2407.21783, 2024.
- Chen, Z., Zhou, K., Zhao, W. X., Wan, J., Zhang, F., Zhang, D., and Wen, J.-R. Improving large language models via fine-grained reinforcement learning with minimum editing constraint, 2024c. find
- Ethayarajh, K., Xu, W., Muennighoff, N., Jurafsky, D., and Kiela, D. Kto: Model alignment as prospect theoretic optimization. arXiv preprint arXiv:2402.01306, 2024. find
- Christiano, P. F., Leike, J., Brown, T., Martic, M., Legg, S., and Amodei, D. Deep reinforcement learning from human preferences. Advances in neural information processing systems, 30, 2017. find
- Fan, A., Lewis, M., and Dauphin, Y. Hierarchical neural story generation, 2018. URL https://arxiv.org/abs/ 1805.04833. ↗
- Cobbe, K., Kosaraju, V., Bavarian, M., Chen, M., Jun, H., Kaiser, L., Plappert, M., Tworek, J., Hilton, J., Nakano, R., Hesse, C., and Schulman, J. Training verifiers to solve math word problems, 2021.
- Friedland, G. and Krell, M. A capacity scaling law for artificial neural networks, 2018. URL https://arxiv.org/abs/1708.06019. — [arXiv:1708.06019](https://arxiv.org/abs/1708.06019) ↗
- Coulom, R. Efficient selectivity and backup operators in monte-carlo tree search. In International conference on computers and games, pp. 72–83. Springer, 2006. find
- Gao, L., Madaan, A., Zhou, S., Alon, U., Liu, P., Yang, Y., Callan, J., and Neubig, G. Pal: Program-aided language models. In International Conference on Machine Learning, pp. 10764–10799. PMLR, 2023. de Moura, L. M., Kong, S., Avigad, J., van Doorn, F., and von Raumer, J. The lean theorem prover (s… find
- Gou, Z., Shao, Z., Gong, Y., Shen, Y., Yang, Y., Duan, N., and Chen, W. Critic: Large language models can self-correct with tool-interactive critiquing. arXiv preprint arXiv:2305.11738, 2023.
- Gou, Z., Shao, Z., Gong, Y., Shen, Y., Yang, Y., Duan, N., and Chen, W. Critic: Large language models can self-correct with tool-interactive critiquing, 2024. URL https://arxiv.org/abs/2305.11738. ↗
- Jordan, M. I. and Mitchell, T. M. Machine learning: Trends, perspectives, and prospects. Science, 349(6245):255–260, 2015. find
- Kocsis, L. and Szepesvári, C. Bandit based monte-carlo planning. In European conference on machine learning, pp. 282–293. Springer, 2006. find
- Guan, X., Liu, Y., Lin, H., Lu, Y., He, B., Han, X., and Sun, L. Mitigating large language model hallucinations via autonomous knowledge graph-based retrofitting, 2023. URL https://arxiv.org/abs/2311.13314. — [arXiv:2311.13314](https://arxiv.org/abs/2311.13314) ↗
- Krishna, K., Wieting, J., and Iyyer, M. Reformulating unsupervised style transfer as paraphrase generation. In Webber, B., Cohn, T., He, Y., and Liu, Y. (eds.), Proceedings of the 2020 Conference on Empirical Methods in Natural Language Processing (EMNLP), pp. 737–762, Online, November 2020. Associa…
- Guan, X., Liu, Y., Lin, H., Lu, Y., He, B., Han, X., and Sun, L. Mitigating large language model hallucinations via autonomous knowledge graph-based retrofitting. In Proceedings of the AAAI Conference on Artificial Intelligence, volume 38, pp. 18126–18134, 2024. find
- Hearst, M. A., Dumais, S. T., Osuna, E., Platt, J., and Scholkopf, B. Support vector machines. IEEE Intelligent Systems and their applications, 13(4):18–28, 1998. find
- Kumar, A., Zhuang, V., Agarwal, R., Su, Y., Co-Reyes, J. D., Singh, A., Baumli, K., Iqbal, S., Bishop, C., Roelofs, R., Zhang, L. M., McKinney, K., Shrivastava, D., Paduraru, C., Tucker, G., Precup, D., Behbahani, F., and Faust, A. Training language models to self-correct via reinforcement learning,…
- Hinton, G. Distilling the knowledge in a neural network. arXiv preprint arXiv:1503.02531, 2015.
- Holtzman, A., Buys, J., Du, L., Forbes, M., and Choi, Y. The curious case of neural text degeneration, 2020. URL https://arxiv.org/abs/1904.09751. ↗
- Hu, E. J., Shen, Y., Wallis, P., Allen-Zhu, Z., Li, Y., Wang, S., Wang, L., and Chen, W. Lora: Low-rank adaptation of large language models. arXiv preprint arXiv:2106.09685, 2021.
- Kwon, W., Li, Z., Zhuang, S., Sheng, Y., Zheng, L., Yu, C. H., Gonzalez, J. E., Zhang, H., and Stoica, I. Efficient memory management for large language model serving with pagedattention. In Proceedings of the ACM SIGOPS 29th Symposium on Operating Systems Principles, 2023.
- Hu, Z., Liu, C., Feng, X., Zhao, Y., Ng, S.-K., Luu, A. T., He, J., Koh, P. W., and Hooi, B. Uncertainty of thoughts: Uncertainty-aware planning enhances information seeking in large language models, 2024. URL https://arxiv.org/abs/2402.03271. ↗
- Lee, H., Phatale, S., Mansoor, H., Mesnard, T., Ferret, J., Lu, K., Bishop, C., Hall, E., Carbune, V., Rastogi, A., and Prakash, S. Rlaif: Scaling reinforcement learning from human feedback with ai feedback, 2023. find
- Inan, H., Upasani, K., Chi, J., Rungta, R., Iyer, K., Mao, Y., Tontchev, M., Hu, Q., Fuller, B., Testuggine, D., et al. Llama guard: Llm-based input-output safeguard for human-ai conversations. arXiv preprint arXiv:2312.06674, 2023.
- Lees, A., Tran, V. Q., Tay, Y., Sorensen, J., Gupta, J., Metzler, D., and Vasserman, L. A new generation of perspective api: Efficient multilingual character-level transformers. In Proceedings of the 28th ACM SIGKDD conference on knowledge discovery and data mining, pp. 3197–3207, 2022.
- Jiang, D., Ren, X., and Lin, B. Y. LLM-blender: Ensembling large language models with pairwise ranking and generative fusion. In Rogers, A., Boyd-Graber, J., and Okazaki, N. (eds.), Proceedings of the 61st Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers), pp. 1…
- Leike, J., Krueger, D., Everitt, T., Martic, M., Maini, V., and Legg, S. Scalable agent alignment via reward modeling: a research direction. arXiv preprint arXiv:1811.07871, 2018a.
- Leike, J., Krueger, D., Everitt, T., Martic, M., Maini, V., and Legg, S. Scalable agent alignment via reward modeling: a research direction, 2018b. URL https://arxiv.org/ abs/1811.07871. ↗
- Jiang, Z., Xu, F. F., Gao, L., Sun, Z., Liu, Q., Dwivedi-Yu, J., Yang, Y., Callan, J., and Neubig, G. Active retrieval augmented generation. arXiv preprint arXiv:2305.06983, 2023b.
- Leviathan, Y., Kalman, M., and Matias, Y. Fast inference from transformers via speculative decoding, 2023. URL https://arxiv.org/abs/2211.17192. ↗
- Li, X. L., Holtzman, A., Fried, D., Liang, P., Eisner, J., Hashimoto, T., Zettlemoyer, L., and Lewis, M. Contrastive decoding: Open-ended text generation as optimization. arXiv preprint arXiv:2210.15097, 2022.
- Liu, M., Zhu, M., and Zhang, W. Goal-conditioned reinforcement learning: Problems and solutions, 2022. URL https://arxiv.org/abs/2201.08299. — [arXiv:2201.08299](https://arxiv.org/abs/2201.08299) ↗
- Liu, W., Zeng, W., He, K., Jiang, Y., and He, J. What makes good data for alignment? a comprehensive study of automatic data selection in instruction tuning. In The Twelfth International Conference on Learning Representations, 2024. URL https://openreview.net/forum? id=BTKAeLqLMw. ↗
- Li, X. L., Holtzman, A., Fried, D., Liang, P., Eisner, J., Hashimoto, T., Zettlemoyer, L., and Lewis, M. Contrastive decoding: Open-ended text generation as optimization, 2023a. URL https://arxiv.org/abs/2210. 15097. ↗
- Li, Y., Lin, Z., Zhang, S., Fu, Q., Chen, B., Lou, J.-G., and Chen, W. Making language models better reasoners with step-aware verifier. In Rogers, A., Boyd-Graber, J., and Okazaki, N. (eds.), Proceedings of the 61st Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Pap…
- Lu, X., Welleck, S., Hessel, J., Jiang, L., Qin, L., West, P., Ammanabrolu, P., and Choi, Y. Quark: Controllable text generation with reinforced unlearning, 2022.
- Lu, X., Wen, X., Lu, Y., Yu, B., Lin, H., Yu, H., Sun, L., Han, X., and Li, Y. Transferable post-training via inverse value learning, 2024. URL https://arxiv.org/abs/ 2410.21027. ↗
- Luo, H., Sun, Q., Xu, C., Zhao, P., Lou, J., Tao, C., Geng, X., Lin, Q., Chen, S., and Zhang, D. Wizardmath: Empowering mathematical reasoning for large language models via reinforced evol-instruct, 2023a.
- Li, Y., Wei, F., Zhao, J., Zhang, C., and Zhang, H. RAIN: Your language models can align themselves without finetuning. In The Twelfth International Conference on Learning Representations, volume abs/2309.07124, 2024a. URL https://openreview.net/forum?id= pETSfWMUzy. — [arXiv:2309.07124](https://arxiv.org/abs/2309.07124) ↗
- Luo, L., Liu, Y., Liu, R., Phatale, S., Lara, H., Li, Y., Shu, L., Zhu, Y., Meng, L., Sun, J., and Rastogi, A. Improve mathematical reasoning in language models by automated process supervision, 2024a. URL https://arxiv.org/ abs/2406.06592. ↗
- Li, Z., Chen, X., Yu, H., Lin, H., Lu, Y., Tang, Q., Huang, F., Han, X., Sun, L., and Li, Y. Structrag: Boosting knowledge intensive reasoning of llms via inference-time hybrid information structurization, 2024b. URL https://arxiv.org/abs/2410.08815. — [arXiv:2410.08815](https://arxiv.org/abs/2410.08815) ↗
- Luo, L., Liu, Y., Liu, R., Phatale, S., Lara, H., Li, Y., Shu, L., Zhu, Y., Meng, L., Sun, J., et al. Improve mathematical reasoning in language models by automated process supervision. arXiv preprint arXiv:2406.06592, 2024b.
- Liao, M., Luo, W., Li, C., Wu, J., and Fan, K. Mario: Math reasoning with code interpreter output – a reproducible pipeline, 2024. — MARIO: MAth Reasoning with code Interpreter Output - A Reproducible Pipeline
- Luo, X., Zhu, Q., Zhang, Z., Qin, L., Zhang, X., Yang, Q., Xu, D., and Che, W. Python is not always the best choice: Embracing multilingual program of thoughts, 2024c. URL https://arxiv.org/abs/2402.10691. ↗
- Lightman, H., Kosaraju, V., Burda, Y., Edwards, H., Baker, B., Lee, T., Leike, J., Schulman, J., Sutskever, I., and Cobbe, K. Let’s verify step by step. arXiv preprint arXiv:2305.20050, 2023a.
- Luo, Z., Xu, C., Zhao, P., Sun, Q., Geng, X., Hu, W., Tao, C., Ma, J., Lin, Q., and Jiang, D. Wizardcoder: Empowering code large language models with evol-instruct. arXiv preprint arXiv:2306.08568, 2023b. find
- Lightman, H., Kosaraju, V., Burda, Y., Edwards, H., Baker, B., Lee, T., Leike, J., Schulman, J., Sutskever, I., and Cobbe, K. Let’s verify step by step, 2023b. — Let's Verify Step by Step
- Liu, J., Zhu, Y., Xiao, K., Fu, Q., Han, X., Yang, W., and Ye, D. Rltf: Reinforcement learning from unit test feedback. arXiv preprint arXiv:2307.04349, 2023a. find
- Luo, Z., Xu, C., Zhao, P., Sun, Q., Geng, X., Hu, W., Tao, C., Ma, J., Lin, Q., and Jiang, D. Wizardcoder: Empowering code large language models with evol-instruct. In The Twelfth International Conference on Learning Representations, 2024d. URL https://openreview.net/ forum?id=UnUwSIgK5W. ↗
- Liu, J., Zhu, Y., Xiao, K., Fu, Q., Han, X., Yang, W., and Ye, D. Rltf: Reinforcement learning from unit test feedback, 2023b. URL https://arxiv.org/abs/2307.04349. ↗
- Madaan, A., Tandon, N., Gupta, P., Hallinan, S., Gao, L., Wiegreffe, S., Alon, U., Dziri, N., Prabhumoye, S., Yang, Y., Gupta, S., Majumder, B. P., Hermann, K., Lin, H., Sun, Z., Yang, Y., and Welleck, S. Lean-star: Learning to interleave thinking and proving, 2024.
- Welleck, S., Yazdanbakhsh, A., and Clark, P. Self-refine: Iterative refinement with self-feedback. In Thirty-seventh Conference on Neural Information Processing Systems, volume 36, pp. 46534–46594, 2023. URL https://openreview.net/forum?id=S37hOerQLB. ↗
- Ouyang, L., Wu, J., Jiang, X., Almeida, D., Wainwright, C., Mishkin, P., Zhang, C., Agarwal, S., Slama, K., Ray, A., et al. Training language models to follow instructions with human feedback. Advances in neural information processing systems, 35:27730–27744, 2022a.
- Madaan, A., Tandon, N., Gupta, P., Hallinan, S., Gao, L., Wiegreffe, S., Alon, U., Dziri, N., Prabhumoye, S., Yang, Y., et al. Self-refine: Iterative refinement with self-feedback. Advances in Neural Information Processing Systems, 36, 2024. find
- Ouyang, L., Wu, J., Jiang, X., Almeida, D., Wainwright, C. L., Mishkin, P., Zhang, C., Agarwal, S., Slama, K., Ray, A., Schulman, J., Hilton, J., Kelton, F., Miller, L., Simens, M., Askell, A., Welinder, P., Christiano, P., Leike, J., and Lowe, R. Training language models to follow instructions with… — Training language models to follow instructions with human feedback
- Markov, T., Zhang, C., Agarwal, S., Nekoul, F. E., Lee, T., Adler, S., Jiang, A., and Weng, L. A holistic approach to undesired content detection in the real world. In Proceedings of the AAAI Conference on Artificial Intelligence, volume 37, pp. 15009–15018, 2023.
- Pan, R., Cao, B., Lin, H., Han, X., Zheng, J., Wang, S., Cai, X., and Sun, L. Not all contexts are equal: Teaching llms credibility-aware generation, 2024. URL https://arxiv.org/abs/2404.06809. ↗
- Mo, S. and Xin, M. Tree of uncertain thoughts reasoning for large language models, 2023. URL https://arxiv.org/abs/2309.07694. — [arXiv:2309.07694](https://arxiv.org/abs/2309.07694) ↗
- Pang, J.-C., Wang, P., Li, K., Chen, X.-H., Xu, J., Zhang, Z., and Yu, Y. Language model self-improvement by reinforcement learning contemplation, 2023. URL https://arxiv.org/abs/2305.14483. ↗
- Mu, T., Helyar, A., Heidecke, J., Achiam, J., Vallone, A., Kivlichan, I., Lin, M., Beutel, A., Schulman, J., and Weng, L. Rule based rewards for language model safety. Advances in Neural Information Processing Systems, 2024. find
- Peng, B., Li, C., He, P., Galley, M., and Gao, J. Instruction tuning with gpt-4, 2023.
- Plappert, M., Andrychowicz, M., Ray, A., McGrew, B., Baker, B., Powell, G., Schneider, J., Tobin, J., Chociej, M., Welinder, P., Kumar, V., and Zaremba, W. Multi-goal reinforcement learning: Challenging robotics environments and request for research, 2018. URL https://arxiv.org/abs/1802.09464. ↗
- Murthy, R., Heinecke, S., Niebles, J. C., Liu, Z., Xue, L., Yao, W., Feng, Y., Chen, Z., Gokul, A., Arpit, D., Xu, R., Mui, P., Wang, H., Xiong, C., and Savarese, S. Rex: Rapid exploration and exploitation for ai agents, 2024. URL https://arxiv.org/abs/2307.08962. — [arXiv:2307.08962](https://arxiv.org/abs/2307.08962) ↗
- Qian, C., Dang, Y., Li, J., Liu, W., Xie, Z., Wang, Y., Chen, W., Yang, C., Cong, X., Che, X., et al. Experiential co-learning of software-developing agents. arXiv preprint arXiv:2312.17025, 2023.
- Nakano, R., Hilton, J., Balaji, S., Wu, J., Ouyang, L., Kim, C., Hesse, C., Jain, S., Kosaraju, V., Saunders, W., et al. Webgpt: Browser-assisted question-answering with human feedback. arXiv preprint arXiv:2112.09332, 2021.
- Quan, S. Dmoerm: Recipes of mixture-of-experts for effective reward modeling. arXiv preprint arXiv:2403.01197, 2024. find
- Nguyen, H.-T. and Satoh, K. Balancing exploration and exploitation in llm using soft rllf for enhanced negation understanding. arXiv preprint arXiv:2403.01185, 2024. — [arXiv:2403.01185](https://arxiv.org/abs/2403.01185) find
- Quinlan, J. R. Induction of decision trees. Machine learning, 1:81–106, 1986. find
- O’Brien, S. and Lewis, M. Contrastive decoding improves reasoning in large language models. arXiv preprint arXiv:2309.09117, 2023.
- Rafailov, R., Sharma, A., Mitchell, E., Manning, C. D., Ermon, S., and Finn, C. Direct preference optimization: Your language model is secretly a reward model. Advances in Neural Information Processing Systems, 36, 2024.
- Olausson, T., Gu, A., Lipkin, B., Zhang, C., Solar-Lezama, A., Tenenbaum, J., and Levy, R. Linc: A neurosymbolic approach for logical reasoning by combining language models with first-order logic provers. In Proceedings of the 2023 Conference on Empirical Methods in Natural Language Processing, pp.…
- Robertson, S., Zaragoza, H., et al. The probabilistic relevance framework: Bm25 and beyond. Foundations and Trends® in Information Retrieval, 3(4):333–389, 2009. find
- Saunders, W., Yeh, C., Wu, J., Bills, S., Ouyang, L., Ward, J., and Leike, J. Self-critiquing models for assisting human evaluators. ArXiv preprint, abs/2206.05802, 2022. URL https://arxiv.org/abs/2206.05802. ↗
- Sun, S., Li, J., Yuan, W., Yuan, R., Li, W., and Liu, P. The critique of critique. ArXiv preprint, abs/2401.04518, 2024b. URL https://arxiv.org/abs/2401.04518. ↗
- Schaul, T., Horgan, D., Gregor, K., and Silver, D. Universal value function approximators. In Bach, F. and Blei, D. (eds.), Proceedings of the 32nd International Conference on Machine Learning, volume 37 of Proceedings of Machine Learning Research, pp. 1312–1320, Lille, France, 07–09 Jul 2015. PMLR.… find
- Tang, Y., Guo, D. Z., Zheng, Z., Calandriello, D., Cao, Y., Tarassov, E., Munos, R., Pires, B. Á., Valko, M., Cheng, Y., et al. Understanding the performance gap between online and offline alignment algorithms. arXiv preprint arXiv:2405.08448, 2024. — [arXiv:2405.08448](https://arxiv.org/abs/2405.08448) find
- Touvron, H., Lavril, T., Izacard, G., Martinet, X., Lachaux, M.-A., Lacroix, T., Rozière, B., Goyal, N., Hambro, E., Azhar, F., et al. Llama: Open and efficient foundation language models. arXiv preprint arXiv:2302.13971, 2023a.
- Schmidhuber, J. Deep learning in neural networks: An overview. Neural Networks, 61:85–117, 2015. ISSN 0893-6080. doi: https://doi.org/10.1016/j.neunet. 2014.09.003. URL https://www.sciencedirect.com/ science/article/pii/S0893608014002135. ↗
- Touvron, H., Martin, L., Stone, K., Albert, P., Almahairi, A., Babaei, Y., Bashlykov, N., Batra, S., Bhargava, P., Bhosale, S., et al. Llama 2: Open foundation and fine-tuned chat models. arXiv preprint arXiv:2307.09288, 2023b.
- Schulman, J., Wolski, F., Dhariwal, P., Radford, A., and Klimov, O. Proximal policy optimization algorithms, 2017. find
- Tsai, C. F., Zhou, X., Liu, S. S., Li, J., Yu, M., and Mei, H. Can large language models play text games well? current state-of-the-art and open questions. arXiv preprint arXiv:2304.02868, 2023. — [arXiv:2304.02868](https://arxiv.org/abs/2304.02868) find
- Sevilla, J., Heim, L., Ho, A., Besiroglu, T., Hobbhahn, M., and Villalobos, P. Compute trends across three eras of machine learning. In 2022 International Joint Conference on Neural Networks (IJCNN), pp. 1–8. find
- IEEE, July 2022. doi: 10.1109/ijcnn55064.2022.9891914. URL http://dx.doi.org/10.1109/IJCNN55064.2022.9891914. — [doi:10.1109/ijcnn55064.2022.9891914](https://doi.org/10.1109/ijcnn55064.2022.9891914) ↗
- Vapnik, V. N. The Nature of Statistical Learning Theory. Springer, 2000. find
- Vijayakumar, A. K., Cogswell, M., Selvaraju, R. R., Sun, Q., Lee, S., Crandall, D., and Batra, D. Diverse beam search: Decoding diverse solutions from neural sequence models, 2018. URL https://arxiv.org/abs/1610.02424. ↗
- Shojaee, P., Jain, A., Tipirneni, S., and Reddy, C. K. Execution-based code generation using deep reinforcement learning. arXiv preprint arXiv:2301.13816, 2023a.
- Shojaee, P., Jain, A., Tipirneni, S., and Reddy, C. K. Execution-based code generation using deep reinforcement learning, 2023b. URL https://arxiv.org/abs/ 2301.13816. ↗
- Wang, K., Ren, H., Zhou, A., Lu, Z., Luo, S., Shi, W., Zhang, R., Song, L., Zhan, M., and Li, H. Mathcoder: Seamless code integration in llms for enhanced mathematical reasoning. arXiv preprint arXiv:2310.03731, 2023a.
- Snell, C., Lee, J., Xu, K., and Kumar, A. Scaling llm test-time compute optimally can be more effective than scaling model parameters. arXiv preprint arXiv:2408.03314, 2024.
- Wang, K., Ren, H., Zhou, A., Lu, Z., Luo, S., Shi, W., Zhang, R., Song, L., Zhan, M., and Li, H. Mathcoder: Seamless code integration in llms for enhanced mathematical reasoning, 2023b. URL https://arxiv.org/ abs/2310.03731. ↗
- Song, F., Yu, B., Li, M., Yu, H., Huang, F., Li, Y., and Wang, H. Preference ranking optimization for human alignment. In Proceedings of the AAAI Conference on Artificial Intelligence, volume 38, pp. 18990–18998, 2024.
- Wang, P., Li, L., Shao, Z., Xu, R., Dai, D., Li, Y., Chen, D., Wu, Y., and Sui, Z. Math-shepherd: A label-free step-by-step verifier for llms in mathematical reasoning. arXiv preprint arXiv:2312.08935, 2023c.
- Stiennon, N., Ouyang, L., Wu, J., Ziegler, D., Lowe, R., Voss, C., Radford, A., Amodei, D., and Christiano, P. F. Learning to summarize with human feedback. Advances in Neural Information Processing Systems, 33: 3008–3021, 2020. find
- Wang, P., Li, L., Shao, Z., Xu, R. X., Dai, D., Li, Y., Chen, D., Wu, Y., and Sui, Z. Math-shepherd: Verify and reinforce llms step-by-step without human annotations, 2024a.
- Sun, H., Haider, M., Zhang, R., Yang, H., Qiu, J., Yin, M., Wang, M., Bartlett, P., and Zanette, A. Fast best-of-n decoding via speculative rejection, 2024a. URL https://arxiv.org/abs/2410.20290. ↗
- Wang, P., Li, L., Shao, Z., Xu, R. X., Dai, D., Li, Y., Chen, D., Wu, Y., and Sui, Z. Math-shepherd: Verify and reinforce llms step-by-step without human annotations, 2024b. URL https://arxiv.org/abs/2312.08935. ↗
- Wang, X. and Zhou, D. Chain-of-thought reasoning without prompting. ArXiv preprint, abs/2402.10200, 2024. URL https://arxiv.org/abs/2402.10200. ↗
- Xiang, H., Yu, B., Lin, H., Lu, K., Lu, Y., Han, X., Sun, L., Zhou, J., and Lin, J. Aligning large language models via self-steering optimization, 2024. URL https://arxiv.org/abs/2410.17131. — [arXiv:2410.17131](https://arxiv.org/abs/2410.17131) ↗
- Wang, X., Wei, J., Schuurmans, D., Le, Q. V., Chi, E. H., Narang, S., Chowdhery, A., and Zhou, D. Self-consistency improves chain of thought reasoning in language models. In The Eleventh International Conference on Learning Representations, 2023d. URL https://openreview.net/forum?id=1PL1NIMMrw. ↗
- Xie, T., Ma, Y., and Wang, Y.-X. Towards optimal off-policy evaluation for reinforcement learning with marginalized importance sampling. Advances in neural information processing systems, 32, 2019. find
- Xie, Y., Goyal, A., Zheng, W., Kan, M.-Y., Lillicrap, T. P., Kawaguchi, K., and Shieh, M. Monte carlo tree search boosts reasoning via iterative preference learning. arXiv preprint arXiv:2405.00451, 2024. find
- Wang, Y., Kordi, Y., Mishra, S., Liu, A., Smith, N. A., Khashabi, D., and Hajishirzi, H. Self-instruct: Aligning language models with self-generated instructions. In Rogers, A., Boyd-Graber, J., and Okazaki, N. (eds.), Proceedings of the 61st Annual Meeting of the Association for Computational Lingu… find
- Xin, C., Lu, Y., Lin, H., Zhou, S., Zhu, H., Wang, W., Liu, Z., Han, X., and Sun, L. Beyond full fine-tuning: Harnessing the power of LoRA for multi-task instruction tuning. In Calzolari, N., Kan, M.-Y., Hoste, V., Lenci, A., Sakti, S., and Xue, N. (eds.), Proceedings of the 2024 Joint International… find
- Wei, J., Wang, X., Schuurmans, D., Bosma, M., Xia, F., Chi, E., Le, Q. V., Zhou, D., et al. Chain-of-thought prompting elicits reasoning in large language models. Advances in neural information processing systems, 35:24824–24837, 2022.
- Xu, C., Guo, D., Duan, N., and McAuley, J. Baize: An open-source chat model with parameter-efficient tuning on self-chat data. arXiv preprint arXiv:2304.01196, 2023.
- Wen, J., Zhong, R., Khan, A., Perez, E., Steinhardt, J., Huang, M., Boman, S. R., He, H., and Feng, S. Language models learn to mislead humans via rlhf. arXiv preprint arXiv:2409.12822, 2024a. find
- Yao, S., Zhao, J., Yu, D., Du, N., Shafran, I., Narasimhan, K. R., and Cao, Y. React: Synergizing reasoning and acting in language models. In The Eleventh International Conference on Learning Representations, 2022.
- Wen, J., Zhong, R., Khan, A., Perez, E., Steinhardt, J., Huang, M., Bowman, S. R., He, H., and Feng, S. Language models learn to mislead humans via rlhf, 2024b. URL https://arxiv.org/abs/2409.12822. ↗
- Yao, S., Yu, D., Zhao, J., Shafran, I., Griffiths, T., Cao, Y., and Narasimhan, K. Tree of thoughts: Deliberate problem solving with large language models. Advances in Neural Information Processing Systems, 36, 2024. find
- Wen, X., Lou, J., Lu, Y., Lin, H., Yu, X., Lu, X., He, B., Han, X., Zhang, D., and Sun, L. Rethinking reward model evaluation: Are we barking up the wrong tree? arXiv preprint arXiv:2410.05584, 2024c.
- Yu, F., Gao, A., and Wang, B. OVM, outcome-supervised value models for planning in mathematical reasoning. In Duh, K., Gomez, H., and Bethard, S. (eds.), Findings of the Association for Computational Linguistics: NAACL 2024, pp. 858–875, Mexico City, Mexico, June 2024. Association for Computational…
- Wen, X., Lu, X., Guan, X., Lu, Y., Lin, H., He, B., Han, X., and Sun, L. On-policy fine-grained knowledge feedback for hallucination mitigation, 2024d. URL https://arxiv.org/abs/2406.12221. — [arXiv:2406.12221](https://arxiv.org/abs/2406.12221) ↗
- Weyssow, M., Kamanda, A., and Sahraoui, H. Codeultrafeedback: An llm-as-a-judge dataset for aligning large language models to coding preferences, 2024. find
- Wilson, D. Llm tree search. arXiv:2410.19117, 2024. — [arXiv:2410.19117](https://arxiv.org/abs/2410.19117) find
- Yu, L., Jiang, W., Shi, H., Yu, J., Liu, Z., Zhang, Y., Kwok, J. T., Li, Z., Weller, A., and Liu, W. Metamath: Bootstrap your own mathematical questions for large language models. arXiv preprint arXiv:2309.12284, 2023a. arXiv preprint Wu, T., Yuan, W., Golovneva, O., Xu, J., Tian, Y., Jiao, J., West…
- Yu, Z., Zhang, X., Shang, N., Huang, Y., Xu, C., Zhao, Y., Hu, W., and Yin, Q. Wavecoder: Widespread and versatile enhanced instruction tuning with refined data generation. arXiv preprint arXiv:2312.14187, 2023b. — [arXiv:2312.14187](https://arxiv.org/abs/2312.14187) find
- Yuan, H., Yuan, Z., Tan, C., Wang, W., Huang, S., and Huang, F. RRHF: Rank responses to align language models with human feedback. In Thirty-seventh Conference on Neural Information Processing Systems, 2023a. URL https://openreview.net/forum?id=EdIGMCHk4l. ↗
- Zhang, D., Zhoubian, S., Hu, Z., Yue, Y., Dong, Y., and Tang, J. Rest-mcts*: Llm self-training via process reward guided tree search, 2024b. URL https://arxiv.org/ abs/2406.03816. ↗
- Zhang, L., Hosseini, A., Bansal, H., Kazemi, M., Kumar, A., and Agarwal, R. Generative verifiers: Reward modeling as next-token prediction. arXiv preprint arXiv:2408.15240, 2024c.
- Yuan, W., Pang, R. Y., Cho, K., Sukhbaatar, S., Xu, J., and Weston, J. Self-rewarding language models. ArXiv preprint, abs/2401.10020, 2024. URL https://arxiv.org/abs/2401.10020. ↗
- Zhang, L., Hosseini, A., Bansal, H., Kazemi, M., Kumar, A., and Agarwal, R. Generative verifiers: Reward modeling as next-token prediction, 2024d. URL https://arxiv.org/abs/2408.15240. ↗
- Yuan, Z., Yuan, H., Li, C., Dong, G., Lu, K., Tan, C., Zhou, C., and Zhou, J. Scaling relationship on learning mathematical reasoning with large language models, 2023b.
- Zheng, L., Chiang, W.-L., Sheng, Y., Zhuang, S., Wu, Z., Zhuang, Y., Lin, Z., Li, Z., Li, D., Xing, E., et al. Judging llm-as-a-judge with mt-bench and chatbot arena. Advances in Neural Information Processing Systems, 36:46595–46623, 2024a. URL https://proceedings.neurips.cc/paper files/paper/2023/… ↗
- Yuan, Z., Yuan, H., Li, C., Dong, G., Lu, K., Tan, C., Zhou, C., and Zhou, J. Scaling relationship on learning mathematical reasoning with large language models, 2023c. URL https://arxiv.org/abs/2308.01825. ↗
- Yue, X., Qu, X., Zhang, G., Fu, Y., Huang, W., Sun, H., Su, Y., and Chen, W. Mammoth: Building math generalist models through hybrid instruction tuning. arXiv preprint arXiv:2309.05653, 2023.
- Zheng, R., Dou, S., Gao, S., Hua, Y., Shen, W., Wang, B., Zelikman, E., Wu, Y., Mu, J., and Goodman, N. Star: Liu, Y., Jin, S., Liu, Q., Zhou, Y., Xiong, L., Chen, L., Bootstrapping reasoning with reasoning. In Koyejo, S., Xi, Z., Xu, N., Lai, W., Zhu, M., Chang, C., Yin, Z., Mohamed, S., Agarwal, A… — OpenCodeInterpreter: Integrating Code Generation with Execution and Refinement
- Zelikman, E., Wu, Y., Mu, J., and Goodman, N. Star: Bootstrapping reasoning with reasoning. Advances in Neural Information Processing Systems, 35:15476–15488, 2022b.
- Zelikman, E., Harik, G., Shao, Y., Jayasiri, V., Haber, N., and Goodman, N. D. Quiet-star: Language models can teach themselves to think before speaking. ArXiv preprint, abs/2403.09629, 2024. URL https://arxiv.org/abs/ 2403.09629. ↗
- Zeng, W. and Church, R. L. Finding shortest paths on real road networks: the case for a*. Int. J. Geogr. Inf. Sci., 23(4):531–543, April 2009. ISSN 1365-8816. doi: 10.1080/13658810801949850. URL https://doi.org/ 10.1080/13658810801949850. — [doi:10.1080/13658810801949850](https://doi.org/10.1080/13658810801949850) find
- Zhang, D., Wu, J., Lei, J., Che, T., Li, J., Xie, T., Huang, X., Zhang, S., Pavone, M., Li, Y., Ouyang, W., and Zhou, D. Llama-berry: Pairwise optimization for o1-like olympiad-level mathematical reasoning, 2024a. URL https://arxiv.org/abs/2410.02884. ↗
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