ReST-MCTS*: LLM Self-Training via Process Reward Guided Tree Search
Written for the Research library (claude-opus-5-5) from the paper text. Original — arxiv.org/pdf/2406.03816
Summary
LLM self-training usually keeps only the generated solutions whose final answer is correct. Many of those solutions still contain flawed or useless intermediate steps, so the fine-tuning data ends up noisy. Process reward models (PRMs) can check each step, but they normally need costly step-level human labels. ReST-MCTS* removes that need. It runs a modified Monte Carlo Tree Search (MCTS*) guided by a PRM. With only the gold final answers available, it estimates each step's reward from how likely that step is to lead to the correct answer, using enough rollouts and a notion of reasoning distance. These inferred values serve two purposes: they become training targets for the PRM, and they select high-quality traces for fine-tuning the policy. The loop repeats for several iterations. With the same search budget, MCTS* beats Self-Consistency, Best-of-N, CoT and Tree-of-Thought. Repeated self-training improves three backbone models and outperforms ReST^EM and Self-Rewarding LM. This matters because it offers a scalable route to dense, step-level supervision without manual annotation.
Key points
- Four parts: the MCTS* search policy, a PRM that scores partial solutions, a policy model that proposes steps, and a self-training loop. The policy is trained on positive traces and the PRM on all searched traces.
- Step rewards: these are inferred automatically from tree-search rollouts. The authors report a better PRM than MATH-SHEPHERD's rollout-based labels.
- Evaluation: on MATH, SciBench and SciEval, with GLM4, GPT-3.5-turbo and LLaMA2-13B-Chat as backbones.
- SciBench results: over the CoT and ToT baselines, ReST-MCTS* gains more than 4.0% with GLM4 and more than 3.1% with GPT-3.5-turbo. The chemmc, quan and stat subjects gain more than 5%. Gains for LLaMA2-13B-Chat are small, which suggests weaker models struggle with complex tree search.
- Code: released at github.com/THUDM/ReST-MCTS (NeurIPS 2024). The stated limits are that it is tested only on math and science reasoning, and that it depends on ground-truth answers.
Cited by
- Towards Reasoning Era: A Survey of Long Chain-of-Thought for Reasoning Large Language Models
- rStar-Math: Small LLMs Can Master Math Reasoning with Self-Evolved Deep Thinking
- WizardMath: Empowering Mathematical Reasoning for Large Language Models via Reinforced Evol-Instruct
- Improve Mathematical Reasoning in Language Models by Automated Process Supervision
Cite
@misc{zhang2024rest,
title = {{ReST-MCTS*: LLM Self-Training via Process Reward Guided Tree Search}},
author = {Zhang, Dan and Zhoubian, Sining and Hu, Ziniu and Yue, Yisong and Dong, Yuxiao and Tang, Jie},
year = {2024},
doi = {10.48550/arxiv.2406.03816},
eprint = {2406.03816},
archivePrefix = {arXiv},
url = {https://doi.org/10.48550/arxiv.2406.03816}
}References
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