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While scaling laws for large language models (LLMs) during pre-training have been extensively studied, their behavior under reinforcement learning (RL) post-training remains largely unexplored. This paper presents a systematic empirical…

Process Reward Models (PRMs) have achieved remarkable success in augmenting the reasoning capabilities of Large Language Models (LLMs) within static domains such as mathematics. However, their potential in dynamic data analysis tasks…

Computation and Language · Computer Science 2026-04-28 Zhisong Qiu , Shuofei Qiao , Kewei Xu , Yuqi Zhu , Lun Du , Ningyu Zhang , Huajun Chen

Reinforcement learning (RL) has been widely adopted in post-training for large language models (LLMs) at scale. Recently, the incentivization of reasoning capabilities in LLMs from RL indicates that $\textit{proper learning methods could…

Computation and Language · Computer Science 2025-09-26 Zijun Liu , Peiyi Wang , Runxin Xu , Shirong Ma , Chong Ruan , Peng Li , Yang Liu , Yu Wu

Process Reward Models (PRMs) have recently emerged as a powerful framework for supervising intermediate reasoning steps in large language models (LLMs). Previous PRMs are primarily trained on model final output responses and struggle to…

Computation and Language · Computer Science 2025-09-26 Jiaru Zou , Ling Yang , Jingwen Gu , Jiahao Qiu , Ke Shen , Jingrui He , Mengdi Wang

Process Reward Models (PRMs) provide step-level supervision to large language models (LLMs), but scaling up training data annotation remains challenging for both humans and LLMs. To address this limitation, we propose an active learning…

Machine Learning · Computer Science 2025-04-16 Keyu Duan , Zichen Liu , Xin Mao , Tianyu Pang , Changyu Chen , Qiguang Chen , Michael Qizhe Shieh , Longxu Dou

We propose FlowRL: matching the full reward distribution via flow balancing instead of maximizing rewards in large language model (LLM) reinforcement learning (RL). Recent advanced reasoning models adopt reward-maximizing methods (\eg, PPO…

Large language models (LLMs) have shown promise in performing complex multi-step reasoning, yet they continue to struggle with mathematical reasoning, often making systematic errors. A promising solution is reinforcement learning (RL)…

Machine Learning · Computer Science 2025-09-22 Hanning Zhang , Pengcheng Wang , Shizhe Diao , Yong Lin , Rui Pan , Hanze Dong , Dylan Zhang , Pavlo Molchanov , Tong Zhang

Enhancing the mathematical reasoning capabilities of Large Language Models (LLMs) is of great scientific and practical significance. Researchers typically employ process-supervised reward models (PRMs) to guide the reasoning process,…

Computation and Language · Computer Science 2025-07-24 Wei Sun , Qianlong Du , Fuwei Cui , Jiajun Zhang

Prompt optimization improves the reasoning abilities of large language models (LLMs) without requiring parameter updates to the target model. Following heuristic-based "Think step by step" approaches, the field has evolved in two main…

Computation and Language · Computer Science 2025-07-25 Andreea Nica , Ivan Zakazov , Nicolas Mario Baldwin , Saibo Geng , Robert West

Fine-tuning Large Language Models (LLMs) typically relies on large quantities of high-quality annotated data, or questions with well-defined ground truth answers in the case of Reinforcement Learning with Verifiable Rewards (RLVR). While…

Artificial Intelligence · Computer Science 2026-04-21 Justin Bauer , Thomas Walshe , Derek Pham , Harit Vishwakarma , Armin Parchami , Frederic Sala , Paroma Varma

Process Reward Models (PRMs) are crucial for guiding Large Language Models (LLMs) in complex scenarios by providing dense reward signals. However, existing PRMs primarily rely on heuristic approaches, which struggle with cross-domain…

Computation and Language · Computer Science 2025-07-25 Zhangyue Yin , Qiushi Sun , Zhiyuan Zeng , Qinyuan Cheng , Xipeng Qiu , Xuanjing Huang

Large Language Models excel at code generation yet struggle with complex programming tasks that demand sophisticated reasoning. To bridge this gap, traditional process supervision relies on learned reward models requiring costly training…

Computation and Language · Computer Science 2025-06-09 Zhuohao Yu , Weizheng Gu , Yidong Wang , Xingru Jiang , Zhengran Zeng , Jindong Wang , Wei Ye , Shikun Zhang

Recently, scaling test-time compute on Large Language Models (LLM) has garnered wide attention. However, there has been limited investigation of how various reasoning prompting strategies perform as scaling. In this paper, we focus on a…

Artificial Intelligence · Computer Science 2025-08-18 Yexiang Liu , Zekun Li , Zhi Fang , Nan Xu , Ran He , Tieniu Tan

Current approaches for training Process Reward Models (PRMs) often involve breaking down responses into multiple reasoning steps using rule-based techniques, such as using predefined placeholder tokens or setting the reasoning step's length…

Artificial Intelligence · Computer Science 2025-06-03 Yuliang Liu , Junjie Lu , Zhaoling Chen , Chaofeng Qu , Jason Klein Liu , Chonghan Liu , Zefan Cai , Yunhui Xia , Li Zhao , Jiang Bian , Chuheng Zhang , Wei Shen , Zhouhan Lin

Recent advances in large language models (LLMs) have shown that test-time scaling can substantially improve model performance on complex tasks, particularly in the coding domain. Under this paradigm, models use a larger token budget during…

Artificial Intelligence · Computer Science 2026-04-21 Jiaxin Fang , Runyuan He , Sahil Bhatia , Neel Gajare , Alvin Cheung

Inference-time alignment methods have gained significant attention for their efficiency and effectiveness in aligning large language models (LLMs) with human preferences. However, existing dominant approaches using reward-guided search…

Computation and Language · Computer Science 2025-07-01 Bin Xie , Bingbing Xu , Yige Yuan , Shengmao Zhu , Huawei Shen

Step-by-step verifiers -- also known as process reward models (PRMs) -- are a key ingredient for test-time scaling. PRMs require step-level supervision, making them expensive to train. This work aims to build data-efficient PRMs as…

Machine Learning · Computer Science 2025-12-09 Muhammad Khalifa , Rishabh Agarwal , Lajanugen Logeswaran , Jaekyeom Kim , Hao Peng , Moontae Lee , Honglak Lee , Lu Wang

Step-level reward models (SRMs) can significantly enhance mathematical reasoning performance through process supervision or step-level preference alignment based on reinforcement learning. The performance of SRMs is pivotal, as they serve…

Artificial Intelligence · Computer Science 2025-03-11 Yiran Ma , Zui Chen , Tianqiao Liu , Mi Tian , Zhuo Liu , Zitao Liu , Weiqi Luo

Recent studies on post-training large language models (LLMs) for reasoning through reinforcement learning (RL) typically focus on tasks that can be accurately verified and rewarded, such as solving math problems. In contrast, our research…

Computation and Language · Computer Science 2025-05-29 Ang Lv , Ruobing Xie , Xingwu Sun , Zhanhui Kang , Rui Yan

Large language models have shown promise in clinical decision making, but current approaches struggle to localize and correct errors at specific steps of the reasoning process. This limitation is critical in medicine, where identifying and…