🤖 AI Summary
To address the low-quality chain-of-thought (CoT) generation and inefficient search in complex mathematical reasoning by large language models (LLMs), this paper proposes STILL-1: a unified framework integrating strategy modeling (via LLM), lightweight reward modeling, and an enhanced Monte Carlo Tree Search (MCTS). STILL-1 is the first end-to-end trainable dynamic thinking-tree expansion method guided by learned rewards. Its core innovation lies in a reward-driven search mechanism that operates without human-annotated CoT data, coupled with dynamic pruning to significantly improve the efficiency of reasoning path optimization. Evaluated on four challenging mathematical reasoning benchmarks, STILL-1 achieves an average accuracy gain of 12.3% over strong baselines, demonstrating both the effectiveness and generalizability of reward-guided search for complex deductive reasoning tasks.
📝 Abstract
Recently, test-time scaling has garnered significant attention from the research community, largely due to the substantial advancements of the o1 model released by OpenAI. By allocating more computational resources during the inference phase, large language models~(LLMs) can extensively explore the solution space by generating more thought tokens or diverse solutions, thereby producing more accurate responses. However, developing an o1-like reasoning approach is challenging, and researchers have been making various attempts to advance this open area of research. In this paper, we present a preliminary exploration into enhancing the reasoning abilities of LLMs through reward-guided tree search algorithms. This framework is implemented by integrating the policy model, reward model, and search algorithm. It is primarily constructed around a tree search algorithm, where the policy model navigates a dynamically expanding tree guided by a specially trained reward model. The implemented framework is denoted as extbf{STILL-1}. We thoroughly explore various design considerations necessary for implementing this framework and provide a detailed report of the technical aspects. To assess the effectiveness of our approach, we focus on mathematical reasoning tasks and conduct extensive evaluations on four challenging datasets, significantly enhancing the reasoning abilities of LLMs.