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Scaling test-time compute has emerged as a key strategy for enhancing the reasoning capabilities of large language models (LLMs), particularly in tasks like mathematical problem-solving. A traditional approach, Self-Consistency (SC),…

Computation and Language · Computer Science 2025-10-21 Nishad Singhi , Hritik Bansal , Arian Hosseini , Aditya Grover , Kai-Wei Chang , Marcus Rohrbach , Anna Rohrbach

Large language models have achieved remarkable success on final-answer mathematical problems, largely due to the ease of applying reinforcement learning with verifiable rewards. However, the reasoning underlying these solutions is often…

Despite significant advancements in the general capability of large language models (LLMs), they continue to struggle with consistent and accurate reasoning, especially in complex tasks such as mathematical and code reasoning. One key…

Machine Learning · Computer Science 2024-10-10 Zhenwen Liang , Ye Liu , Tong Niu , Xiangliang Zhang , Yingbo Zhou , Semih Yavuz

Verifiers or reward models are often used to enhance the reasoning performance of large language models (LLMs). A common approach is the Best-of-N method, where N candidate solutions generated by the LLM are ranked by a verifier, and the…

Machine Learning · Computer Science 2025-02-25 Lunjun Zhang , Arian Hosseini , Hritik Bansal , Mehran Kazemi , Aviral Kumar , Rishabh Agarwal

Verifiers are auxiliary models that assess the correctness of outputs generated by base large language models (LLMs). They play a crucial role in many strategies for solving reasoning-intensive problems with LLMs. Typically, verifiers are…

Artificial Intelligence · Computer Science 2025-04-24 Bartosz Piotrowski , Witold Drzewakowski , Konrad Staniszewski , Piotr Miłoś

Recent advances have shown that scaling test-time computation enables large language models (LLMs) to solve increasingly complex problems across diverse domains. One effective paradigm for test-time scaling (TTS) involves LLM generators…

Computation and Language · Computer Science 2026-04-15 Yefan Zhou , Austin Xu , Yilun Zhou , Janvijay Singh , Jiang Gui , Shafiq Joty

Reasoning in Large Language Models (LLMs) has recently shown strong potential in enhancing generative recommendation through deep understanding of complex user preference. Existing approaches follow a {reason-then-recommend} paradigm, where…

Information Retrieval · Computer Science 2026-03-10 Xinyu Lin , Hanqing Zeng , Hanchao Yu , Yinglong Xia , Jiang Zhang , Aashu Singh , Fei Liu , Wenjie Wang , Fuli Feng , Tat-Seng Chua , Qifan Wang

While Large Language Models (LLMs) have demonstrated strong math reasoning abilities through Reinforcement Learning with *Verifiable Rewards* (RLVR), many advanced mathematical problems are proof-based, with no guaranteed way to determine…

Computation and Language · Computer Science 2026-02-20 Haotong Yang , Zitong Wang , Shijia Kang , Siqi Yang , Wenkai Yu , Xu Niu , Yike Sun , Yi Hu , Zhouchen Lin , Muhan Zhang

We introduce Reinforcement Learning (RL) with Adaptive Verifiable Environments (RLVE), an approach using verifiable environments that procedurally generate problems and provide algorithmically verifiable rewards, to scale up RL for language…

Test-time compute scaling allocates inference computation uniformly, uses fixed sampling strategies, and applies verification only for reranking. In contrast, we propose a verifier-guided adaptive framework treating reasoning as iterative…

Computation and Language · Computer Science 2026-04-08 Ahsan Bilal , Ahmed Mohsin , Muhammad Umer , Ali Subhan , Hassan Rizwan , Ayesha Mohsin , Dean Hougen

Test-time scaling is a powerful strategy for boosting the performance of large language models on complex reasoning tasks. While state-of-the-art approaches often employ generative verifiers to select the best solution from a pool of…

Artificial Intelligence · Computer Science 2025-10-17 Kyle Montgomery , Sijun Tan , Yuqi Chen , Siyuan Zhuang , Tianjun Zhang , Raluca Ada Popa , Chenguang Wang

Large language models (LLMs) make reward design in reinforcement learning substantially more scalable, but generated rewards are not automatically reliable training objectives. Existing work has focused primarily on generating, evolving, or…

Artificial Intelligence · Computer Science 2026-05-01 Feiyu Wu , Xu Zheng , Zhuocheng Wang , Yi ming Dai , Hui Li

Large language models have made significant progress in mathematical reasoning, which serves as an important testbed for AI and could impact scientific research if further advanced. By scaling reasoning with reinforcement learning that…

Artificial Intelligence · Computer Science 2025-12-01 Zhihong Shao , Yuxiang Luo , Chengda Lu , Z. Z. Ren , Jiewen Hu , Tian Ye , Zhibin Gou , Shirong Ma , Xiaokang Zhang

Despite the syntactic fluency of Large Language Models (LLMs), ensuring their logical correctness in high-stakes domains remains a fundamental challenge. We present a neurosymbolic framework that combines LLMs with SMT solvers to produce…

Computation and Language · Computer Science 2026-05-05 Vikash Singh , Darion Cassel , Nathaniel Weir , Nick Feng , Sam Bayless

Large language models (LLMs) increasingly rely on reinforcement learning (RL) to enhance their reasoning capabilities through feedback. A critical challenge is verifying the consistency of model-generated responses and reference answers,…

Artificial Intelligence · Computer Science 2025-07-29 Xuzhao Li , Xuchen Li , Shiyu Hu , Yongzhen Guo , Wentao Zhang

Recent advancements in Large Language Models (LLMs) have shown that it is promising to utilize Process Reward Models (PRMs) as verifiers to enhance the performance of LLMs. However, current PRMs face three key challenges: (1) limited…

Computation and Language · Computer Science 2025-04-08 Jian Zhao , Runze Liu , Kaiyan Zhang , Zhimu Zhou , Junqi Gao , Dong Li , Jiafei Lyu , Zhouyi Qian , Biqing Qi , Xiu Li , Bowen Zhou

Recent advances in Large Language Models (LLMs) have shown that their reasoning capabilities can be significantly improved through Reinforcement Learning with Verifiable Reward (RLVR), particularly in domains like mathematics and…

Verifiers have been demonstrated to enhance LLM reasoning via test-time scaling (TTS). Yet, they face significant challenges in complex domains. Error propagation from incorrect intermediate reasoning can lead to false positives for…

Large Language Models (LLMs) have shown impressive reasoning capabilities, yet existing prompting methods face a critical trade-off: simple approaches often struggle with complex tasks and reasoning stability, while more sophisticated…

Computation and Language · Computer Science 2025-07-11 Guangya Wan , Yuqi Wu , Hao Wang , Shengming Zhao , Jie Chen , Sheng Li

While large language models have made significant progress in mathematical reasoning, they remain unreliable at judging the correctness of their own solutions. Existing approaches that equip models with self-verification typically treat…

Computation and Language · Computer Science 2026-05-28 Haihui Pan , Junwei Bao , Hongfei Jiang , Yang Song
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