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Reinforcement post training (RPT) has recently shown promise in improving the reasoning abilities of large language models (LLMs). However, it remains unclear how well these improvements generalize to new domains, as prior work evaluates…

Computation and Language · Computer Science 2026-03-03 Chuxuan Hu , Yuxuan Zhu , Antony Kellermann , Caleb Biddulph , Suppakit Waiwitlikhit , Jason Benn , Daniel Kang

In this paper, we propose R$^3$: Learning Reasoning through Reverse Curriculum Reinforcement Learning (RL), a novel method that employs only outcome supervision to achieve the benefits of process supervision for large language models. The…

Reinforcement learning (RL) with verifiable rewards (RLVR) has demonstrated the great potential of enhancing the reasoning abilities in multimodal large language models (MLLMs). However, the reliance on language-centric priors and expensive…

Computer Vision and Pattern Recognition · Computer Science 2026-04-23 Jiahao Xie , Alessio Tonioni , Nathalie Rauschmayr , Federico Tombari , Bernt Schiele

Large Language Models (LLMs) have shown strong capabilities through two complementary paradigms: Retrieval-Augmented Generation (RAG) for knowledge grounding and Reinforcement Learning from Verifiable Rewards (RLVR) for complex reasoning.…

Computation and Language · Computer Science 2026-04-27 Weitao Li , Boran Xiang , Xiaolong Wang , Zhinan Gou , Weizhi Ma , Yang Liu

Large language models can generate solutions to complex problems, but training them with reinforcement learning typically requires verifiable rewards that are expensive to create and not possible for all domains. We demonstrate that LLMs…

Machine Learning · Computer Science 2025-08-08 Toby Simonds , Kevin Lopez , Akira Yoshiyama , Dominique Garmier

How can we design good goals for arbitrarily intelligent agents? Reinforcement learning (RL) is a natural approach. Unfortunately, RL does not work well for generally intelligent agents, as RL agents are incentivised to shortcut the reward…

Artificial Intelligence · Computer Science 2016-05-11 Tom Everitt , Marcus Hutter

Reinforcement learning from verifiable rewards (RLVR) has recently gained attention for its ability to elicit self-evolved reasoning capabilitie from base language models without explicit reasoning supervisions, as demonstrated by…

Computation and Language · Computer Science 2025-02-28 Sheng Zhang , Qianchu Liu , Guanghui Qin , Tristan Naumann , Hoifung Poon

Reinforcement Learning (RL) has emerged as a powerful paradigm in Artificial Intelligence (AI), enabling agents to learn optimal behaviors through interactions with their environments. Drawing from the foundations of trial and error, RL…

Artificial Intelligence · Computer Science 2025-02-04 Majid Ghasemi , Amir Hossein Moosavi , Dariush Ebrahimi

Modern reinforcement learning (RL) systems capture deep truths about general, human problem-solving. In domains where new data can be simulated cheaply, these systems uncover sequential decision-making policies that far exceed the ability…

Machine Learning · Computer Science 2025-10-07 Scott Jeen

Reinforcement learning with verifiable rewards (RLVR) has recently enhanced the reasoning capabilities of large language models (LLMs), particularly for mathematical problem solving. However, a fundamental limitation remains: as the…

Machine Learning · Computer Science 2025-11-03 Wenhao Deng , Long Wei , Chenglei Yu , Tailin Wu

Reinforcement learning (RL) commonly relies on scalar rewards with limited ability to express temporal, conditional, or safety-critical goals, and can lead to reward hacking. Temporal logic expressible via the more general class of…

Artificial Intelligence · Computer Science 2025-11-26 Dominik Wagner , Leon Witzman , Luke Ong

While reinforcement learning (RL) demonstrated remarkable success in enhancing the reasoning capabilities of language models, the training dynamics of RL in LLMs remain unclear. In this work, we provide an explanation of the RL training…

Machine Learning · Computer Science 2025-09-30 Xingwu Chen , Tianle Li , Difan Zou

Large language models (LLMs) are increasingly deployed as automated evaluators that assign numeric scores to model outputs, a paradigm known as LLM-as-a-Judge. However, standard Reinforcement Learning (RL) methods typically rely on binary…

Machine Learning · Computer Science 2026-03-19 Yasi Zhang , Tianyu Chen , Mingyuan Zhou , Oscar Leong , Ying Nian Wu , Michal Lukasik

Reinforcement learning (RL) can align language models with non-differentiable reward signals, such as human preferences. However, a major challenge arises from the sparsity of these reward signals - typically, there is only a single reward…

Computation and Language · Computer Science 2024-02-20 Meng Cao , Lei Shu , Lei Yu , Yun Zhu , Nevan Wichers , Yinxiao Liu , Lei Meng

In the era of Large Language Models (LLMs), alignment has emerged as a fundamental yet challenging problem in the pursuit of more reliable, controllable, and capable machine intelligence. The recent success of reasoning models and…

Machine Learning · Computer Science 2025-07-18 Hao Sun , Mihaela van der Schaar

Reinforcement learning (RL) often struggles with reward misalignment, where agents optimize given rewards but fail to exhibit the desired behaviors. This arises when the reward function incentivizes proxy behaviors misaligned with the true…

Machine Learning · Computer Science 2025-09-19 Mohammad Saif Nazir , Chayan Banerjee

In practice, rigorous reasoning is often a key driver of correct code, while Reinforcement Learning (RL) for code generation often neglects optimizing reasoning quality. Bringing process-level supervision into RL is appealing, but it faces…

Software Engineering · Computer Science 2026-05-06 Lishui Fan , Yu Zhang , Mouxiang Chen , Zhongxin Liu

We introduce Reasoning Core, a new scalable environment for Reinforcement Learning with Verifiable Rewards (RLVR), designed to advance foundational symbolic reasoning in Large Language Models (LLMs). Unlike existing benchmarks that focus on…

Artificial Intelligence · Computer Science 2025-09-23 Valentin Lacombe , Valentin Quesnel , Damien Sileo

Reinforcement Learning (RL) has been shown to be effective in many scenarios. However, it typically requires the exploration of a sufficiently large number of state-action pairs, some of which may be unsafe. Consequently, its application to…

Systems and Control · Electrical Eng. & Systems 2022-06-24 Yousef Emam , Gennaro Notomista , Paul Glotfelter , Zsolt Kira , Magnus Egerstedt

Recent large reasoning models (LRMs) have demonstrated strong reasoning capabilities through reinforcement learning (RL). These improvements have primarily been observed within the short-context reasoning tasks. In contrast, extending LRMs…

Computation and Language · Computer Science 2025-05-28 Fanqi Wan , Weizhou Shen , Shengyi Liao , Yingcheng Shi , Chenliang Li , Ziyi Yang , Ji Zhang , Fei Huang , Jingren Zhou , Ming Yan