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We introduce Reasoning Gym (RG), a library of reasoning environments for reinforcement learning with verifiable rewards. It provides over 100 data generators and verifiers spanning multiple domains including algebra, arithmetic,…

Machine Learning · Computer Science 2025-10-21 Zafir Stojanovski , Oliver Stanley , Joe Sharratt , Richard Jones , Abdulhakeem Adefioye , Jean Kaddour , Andreas Köpf

Reinforcement Learning (RL) can directly enhance the reasoning capabilities of large language models without extensive reliance on Supervised Fine-Tuning (SFT). In this work, we revisit the traditional Policy Gradient (PG) mechanism and…

Machine Learning · Computer Science 2026-02-04 Xiangxiang Chu , Hailang Huang , Xiao Zhang , Fei Wei , Yong Wang

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

Recent advances at the intersection of reinforcement learning (RL) and visual intelligence have enabled agents that not only perceive complex visual scenes but also reason, generate, and act within them. This survey offers a critical and…

Computer Vision and Pattern Recognition · Computer Science 2025-12-24 Weijia Wu , Chen Gao , Joya Chen , Kevin Qinghong Lin , Qingwei Meng , Yiming Zhang , Yuke Qiu , Hong Zhou , Mike Zheng Shou

Associative thinking--the ability to connect seemingly unrelated ideas--is a foundational element of human creativity and problem-solving. This paper explores whether reinforcement learning (RL) guided by associative thinking principles can…

Artificial Intelligence · Computer Science 2025-11-25 Mukul Singh , Ananya Singha , Aishni Parab , Pronita Mehrotra , Sumit Gulwani

Mathematical reasoning is a central challenge for large language models (LLMs), requiring not only correct answers but also faithful reasoning processes. Reinforcement Learning with Verifiable Rewards (RLVR) has emerged as a promising…

Machine Learning · Computer Science 2025-12-02 Md Tanvirul Alam , Nidhi Rastogi

The goal of program synthesis, or code generation, is to generate executable code based on given descriptions. Recently, there has been an increasing number of studies employing reinforcement learning (RL) to improve the performance of…

Artificial Intelligence · Computer Science 2023-11-14 Jiate Liu , Yiqin Zhu , Kaiwen Xiao , Qiang Fu , Xiao Han , Wei Yang , Deheng Ye

Software testing is a crucial aspect of software development, and the creation of high-quality tests that adhere to best practices is essential for effective maintenance. Recently, Large Language Models (LLMs) have gained popularity for…

Software Engineering · Computer Science 2025-01-07 Benjamin Steenhoek , Michele Tufano , Neel Sundaresan , Alexey Svyatkovskiy

Retrieval-Augmented Generation (RAG) expands the knowledge of Large Language Models (LLMs), yet current static retrieval methods struggle with complex, multi-hop problems. While recent dynamic retrieval strategies offer improvements, they…

Computation and Language · Computer Science 2026-04-23 Haijian Liang , Zenghao Niu , Junjie Wu , Changwang Zhang , Wangchunshu Zhou , Jun Wang

Synthetic verification techniques such as generating test cases and reward modelling are common ways to enhance the coding capabilities of large language models (LLM) beyond predefined tests. Additionally, code verification has recently…

Artificial Intelligence · Computer Science 2025-07-31 Aleksander Ficek , Somshubra Majumdar , Vahid Noroozi , Boris Ginsburg

Large language models (LLMs) provide excellent text-generation capabilities, but standard prompting and generation methods generally do not lead to intentional or goal-directed agents and might necessitate considerable prompt tuning. This…

Computation and Language · Computer Science 2023-12-01 Marwa Abdulhai , Isadora White , Charlie Snell , Charles Sun , Joey Hong , Yuexiang Zhai , Kelvin Xu , Sergey Levine

Video reasoning has advanced with large multimodal models (LMMs), yet their inference is often a single pass that returns an answer without verifying whether the reasoning is evidence-aligned. We introduce Reinforce to Learn, Elect to…

Computer Vision and Pattern Recognition · Computer Science 2026-04-07 Songyuan Yang , Weijiang Yu , Jilin Ma , Ziyu Liu , Guijian Tang , Wenjing Yang , Huibin Tan , Nong Xiao

Recent advancements in reinforcement learning, particularly through Group Relative Policy Optimization (GRPO), have significantly improved multimodal large language models for complex reasoning tasks. However, two critical limitations…

Computer Vision and Pattern Recognition · Computer Science 2025-06-10 Jisheng Dang , Jingze Wu , Teng Wang , Xuanhui Lin , Nannan Zhu , Hongbo Chen , Wei-Shi Zheng , Meng Wang , Tat-Seng Chua

While large language models (LLMs) demonstrate strong reasoning capabilities utilizing reinforcement learning (RL) with verifiable reward, whether large vision-language models (VLMs) can directly inherit such capabilities through similar…

Artificial Intelligence · Computer Science 2025-05-27 Tianle Li , Jihai Zhang , Yongming Rao , Yu Cheng

Practical guidance on training Large Language Models (LLMs) to leverage Code Interpreter across diverse tasks remains lacking. We present R1-Code-Interpreter, an extension of a text-only LLM trained via multi-turn supervised fine-tuning…

Artificial Intelligence · Computer Science 2026-03-05 Yongchao Chen , Yueying Liu , Junwei Zhou , Yilun Hao , Jingquan Wang , Yang Zhang , Na Li , Chuchu Fan

Large Language Models (LLMs) often struggle when prompted to generate content under specific constraints. However, in such cases it is often easy to check whether these constraints are satisfied or violated. Recent works have shown that…

Computation and Language · Computer Science 2024-11-07 Liat Bezalel , Eyal Orgad , Amir Globerson

Large language models (LLMs) often exhibit limited performance on domain-specific tasks due to the natural disproportionate representation of specialized information in their training data and the static nature of these datasets. Knowledge…

Computation and Language · Computer Science 2025-09-30 Chaojun Nie , Jun Zhou , Guanxiang Wang , Shisong Wu , Zichen Wang

Through reinforcement learning with verifiable rewards (RLVR), large language models have achieved substantial progress in domains with easily verifiable outcomes, such as mathematics and coding. However, when applied to more complex tasks…

Computation and Language · Computer Science 2025-10-01 Qiyao Ma , Yunsheng Shi , Hongtao Tian , Chao Wang , Weiming Chang , Ting Yao

Reinforcement Learning with Verifiable Rewards(RLVR) has demonstrated great potential in enhancing the reasoning capabilities of large language models (LLMs). However, its success has thus far been largely confined to the mathematical and…

Artificial Intelligence · Computer Science 2026-02-05 Mengyu Zhang , Siyu Ding , Weichong Yin , Yu Sun , Hua Wu

Optimization modeling is fundamental to decision-making across diverse domains. Despite progress in automating optimization formulation from natural language descriptions, Large Language Models (LLMs) often struggle to generate formally…

Artificial Intelligence · Computer Science 2025-12-23 Yitian Chen , Jingfan Xia , Siyu Shao , Dongdong Ge , Yinyu Ye