Preprint
Reinforcement Learning

A Survey of RL for Large Reasoning Models

Kaiyan Zhang, Yuxin Zuo, Bingxiang He, Youbang Sun, Runze Liu, Che Jiang, Yuchen Fan, Kai Tian, Guoli Jia, Pengfei Li, Yu Fu, Xingtai Lv, Yuchen Zhang, Sihang Zeng, Shang Qu, Haozhan Li, Shijie Wang, Yuru Wang, Xi-Dai Long, Fangfu Liu, Xiang Xu, Jiaze Ma, Xuekai Zhu, Ermo Hua, Yihao Liu, Zonglin Li, Hua-yong Chen, Xiaoye Qu, Yafu Li, Weize Chen, Zhenzhao Yuan, Junqi Gao, Dong Li, Zhiyuan Ma, Ganqu Cui, Zhiyuan Liu, Biqing Qi, Ning Ding, Bowen Zhou
September 10, 2025arXiv.org160 citations

160

Citations

6

Influential Citations

arXiv.org

Venue

2025

Year

Abstract

In this paper, we survey recent advances in Reinforcement Learning (RL) for reasoning with Large Language Models (LLMs). RL has achieved remarkable success in advancing the frontier of LLM capabilities, particularly in addressing complex logical tasks such as mathematics and coding. As a result, RL has emerged as a foundational methodology for transforming LLMs into LRMs. With the rapid progress of the field, further scaling of RL for LRMs now faces foundational challenges not only in computational resources but also in algorithm design, training data, and infrastructure. To this end, it is timely to revisit the development of this domain, reassess its trajectory, and explore strategies to enhance the scalability of RL toward Artificial SuperIntelligence (ASI). In particular, we examine research applying RL to LLMs and LRMs for reasoning abilities, especially since the release of DeepSeek-R1, including foundational components, core problems, training resources, and downstream applications, to identify future opportunities and directions for this rapidly evolving area. We hope this review will promote future research on RL for broader reasoning models. Github: https://github.com/TsinghuaC3I/Awesome-RL-for-LRMs

Analysis

Why This Paper Matters

This survey arrives at a critical juncture in AI research, where reinforcement learning has become the primary driver for transforming large language models into large reasoning models. The paper systematically catalogs the explosion of work following DeepSeek-R1, which demonstrated that RL can unlock sophisticated reasoning capabilities in LLMs. By organizing the field into foundational components, core problems, training resources, and downstream applications, the authors provide a much-needed map for navigating this rapidly evolving area.

The significance lies in its forward-looking perspective: rather than merely summarizing past work, the survey explicitly addresses the scalability challenges that now dominate the frontier. As RL for reasoning moves from proof-of-concept to production-scale systems, issues of computational cost, algorithmic stability, data efficiency, and infrastructure become paramount. This paper helps practitioners understand where the bottlenecks are and what research directions are most promising for overcoming them.

Technical Contributions

The survey makes several key technical contributions:

  • Taxonomy of RL methods for reasoning: It categorizes approaches by their core algorithmic components (e.g., reward design, policy optimization, exploration strategies) and maps them to specific reasoning tasks.
  • Analysis of training resources: The paper reviews the data, compute, and infrastructure requirements for scaling RL-based reasoning, highlighting trade-offs between different paradigms.
  • Post-DeepSeek-R1 landscape: It provides a focused analysis of the most recent wave of research, capturing innovations that have emerged in the last year.
  • Future directions: The survey identifies open problems such as credit assignment in long-horizon reasoning, multi-task RL, and integration with external tools.

Results

As a survey paper, the primary result is a comprehensive organization of the field. The authors cite 160 references and provide a structured overview that covers both foundational work and cutting-edge developments. The paper does not present new experimental results or benchmarks, but it synthesizes findings from across the literature to identify trends and gaps. The accompanying GitHub repository (Awesome-RL-for-LRMs) serves as a living resource for the community.

Significance

This survey has the potential to shape the trajectory of RL for reasoning research by providing a common vocabulary and framework for discussing approaches. For practitioners at Neura Market, the paper offers actionable insights into which RL techniques are most effective for different reasoning tasks, what computational resources are needed, and where the field is heading. By explicitly linking RL scaling to the goal of Artificial SuperIntelligence, the authors frame this work as part of a larger mission, which may influence funding priorities and research agendas. The survey also serves as an educational resource for newcomers to the field, lowering the barrier to entry for applying RL to LLM reasoning.