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Reinforcement Learning with Verifiable Rewards (RLVR) has proven to be a highly effective strategy for endowing Large Language Models (LLMs) with robust multi-step reasoning abilities. However, its design and optimizations remain tailored…

Computation and Language · Computer Science 2026-04-15 Zhenhailong Wang , Xuehang Guo , Sofia Stoica , Haiyang Xu , Hongru Wang , Hyeonjeong Ha , Xiusi Chen , Yangyi Chen , Ming Yan , Fei Huang , Heng Ji

Reinforcement learning (RL) for LLM post-training faces a fundamental design choice: whether to use a learned critic as a baseline for policy optimization. Classical theory favors critic-based methods such as PPO for variance reduction, yet…

Reinforcement learning with verifiers (RLVR) has become a central paradigm for improving LLM reasoning, yet popular group-based optimization algorithms like GRPO often suffer from exploration collapse, where the models prematurely converge…

Artificial Intelligence · Computer Science 2026-05-19 Haoxuan Chen , Tianming Liang , Wei-Shi Zheng , Jian-Fang Hu

Multi-agent systems (MAS) and reinforcement learning (RL) are widely used to enhance the agentic capabilities of large language models (LLMs). MAS improves task performance through role-based orchestration, while RL uses environmental…

Machine Learning · Computer Science 2026-02-02 Yujie Zhao , Lanxiang Hu , Yang Wang , Minmin Hou , Hao Zhang , Ke Ding , Jishen Zhao

RLVR has become a widely adopted paradigm for improving LLMs' reasoning capabilities, and GRPO is one of its most representative algorithms. In this paper, we first show that GRPO admits an equivalent discriminative reformulation as a…

Machine Learning · Computer Science 2026-05-19 Feng Zhang , Xinhong Ma , Ziqiang Dong , Xi Leng , Jianfei Zhao , Xin Sun , Yang Yang , Guanjun Jiang

Prevalent reinforcement learning~(RL) methods for fine-tuning LLM reasoners, such as GRPO or Leave-one-out PPO, abandon the learned value function in favor of empirically estimated returns. This hinders test-time compute scaling that relies…

Machine Learning · Computer Science 2026-04-14 Kusha Sareen , Morgane M Moss , Alessandro Sordoni , Rishabh Agarwal , Arian Hosseini

Large Language Models (LLMs) often suffer from mode collapse, repeatedly generating the same few completions even when many valid answers exist, limiting their diversity across a wide range of tasks. We introduce Group-Aware Policy…

Reinforcement learning (RL) has been effective for post-training autoregressive (AR) language models, but extending these methods to diffusion language models (DLMs) is challenging due to intractable sequence-level likelihoods. Existing…

We investigate reinforcement learning (RL) for privileged planning in autonomous driving. State-of-the-art approaches for this task are rule-based, but these methods do not scale to the long tail. RL, on the other hand, is scalable and does…

Machine Learning · Computer Science 2025-08-22 Bernhard Jaeger , Daniel Dauner , Jens Beißwenger , Simon Gerstenecker , Kashyap Chitta , Andreas Geiger

With respect to improving the reasoning accuracy of LLMs, the representative reinforcement learning (RL) method GRPO faces failure due to insignificant reward variance, while verification methods based on process reward models (PRMs) suffer…

Artificial Intelligence · Computer Science 2025-09-09 Sining Zhoubian , Dan Zhang , Jie Tang

Reinforcement Learning with Verifiable Rewards (RLVR) has achieved remarkable success in improving autoregressive models, especially in domains requiring correctness like mathematical reasoning and code generation. However, directly…

Machine Learning · Computer Science 2026-03-03 Chenxing Wei , Jiazhen Kang , Hong Wang , Jianqing Zhang , Hao Jiang , Xiaolong Xu , Ningyuan Sun , Ying He , F. Richard Yu , Yao Shu , Bo Jiang

This paper presents a deep reinforcement learning (DRL) framework for dynamic portfolio optimization under market uncertainty and risk. The proposed model integrates a Sharpe ratio-based reward function with direct risk control mechanisms,…

Portfolio Management · Quantitative Finance 2025-11-17 Emmanuel Lwele , Sabuni Emmanuel , Sitali Gabriel Sitali

Large Language Models (LLMs) can self-improve through reinforcement learning, where they generate trajectories to explore and discover better solutions. However, this exploration process is computationally expensive, often forcing current…

Machine Learning · Computer Science 2025-10-01 Ziniu Li , Congliang Chen , Tianyun Yang , Tian Ding , Ruoyu Sun , Ge Zhang , Wenhao Huang , Zhi-Quan Luo

RL with Verifiable Rewards (RLVR) has emerged as a promising paradigm for improving the reasoning abilities of large language models (LLMs). Current methods rely primarily on policy optimization frameworks like PPO and GRPO, which follow…

Machine Learning · Computer Science 2025-09-30 Haoran He , Yuxiao Ye , Qingpeng Cai , Chen Hu , Binxing Jiao , Daxin Jiang , Ling Pan

Reinforcement Learning with Verifiable Rewards (RLVR) has improved the reasoning abilities of large language models (LLMs) on mathematics and programming tasks, but standard approaches that optimize single-attempt accuracy can inadvertently…

Machine Learning · Computer Science 2026-02-27 Devan Shah , Owen Yang , Daniel Yang , Chongyi Zheng , Benjamin Eysenbach

Achieving fast and stable off-policy learning in deep reinforcement learning (RL) is challenging. Most existing methods rely on semi-gradient temporal-difference (TD) methods for their simplicity and efficiency, but are consequently…

Machine Learning · Computer Science 2025-09-22 Esraa Elelimy , Brett Daley , Andrew Patterson , Marlos C. Machado , Adam White , Martha White

Large language models (LLMs) have exhibited extraordinary performance in a variety of tasks while it remains challenging for them to solve complex multi-step tasks as agents. In practice, agents sensitive to the outcome of certain key steps…

Artificial Intelligence · Computer Science 2025-05-28 Zilong Wang , Jingfeng Yang , Sreyashi Nag , Samarth Varshney , Xianfeng Tang , Haoming Jiang , Jingbo Shang , Sheikh Muhammad Sarwar

We show that reinforcement learning with verifiable rewards (RLVR) can elicit strong mathematical reasoning in certain language models even with spurious rewards that have little, no, or even negative correlation with the correct answer.…

Recent advancements in large language models (LLMs) have enabled understanding webpage contexts, product details, and human instructions. Utilizing LLMs as the foundational architecture for either reward models or policies in reinforcement…

Machine Learning · Computer Science 2024-08-30 Shuang Feng , Grace Feng

Enhancing the reasoning capabilities of large language models effectively using reinforcement learning (RL) remains a crucial challenge. Existing approaches primarily adopt two contrasting advantage estimation granularities: token-level…

Machine Learning · Computer Science 2025-10-22 Yiran Guo , Lijie Xu , Jie Liu , Dan Ye , Shuang Qiu