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Current techniques for post-training Large Language Models (LLMs) rely either on costly human supervision or on external verifiers to boost performance on tasks such as mathematical reasoning and code generation. However, as LLMs improve…

Computation and Language · Computer Science 2026-01-21 Mukesh Ghimire , Aosong Feng , Liwen You , Youzhi Luo , Fang Liu , Xuan Zhu

Large language models (LLMs) are increasingly used in applications requiring factual accuracy, yet their outputs often contain hallucinated responses. While fact-checking can mitigate these errors, existing methods typically retrieve…

Computation and Language · Computer Science 2026-01-07 Haoran Wang , Maryam Khalid , Qiong Wu , Jian Gao , Cheng Cao

While large language models (LLMs) are proficient at question-answering (QA), it is not always clear how (or even if) an answer follows from their latent "beliefs". This lack of interpretability is a growing impediment to widespread use of…

Computation and Language · Computer Science 2023-10-31 Nora Kassner , Oyvind Tafjord , Ashish Sabharwal , Kyle Richardson , Hinrich Schuetze , Peter Clark

The widespread application of pre-trained language models (PLMs) in natural language processing (NLP) has led to increasing concerns about their explainability. Selective rationalization is a self-explanatory framework that selects…

Computation and Language · Computer Science 2025-01-07 Libing Yuan , Shuaibo Hu , Kui Yu , Le Wu

Large Language Models (LLMs) have demonstrated impressive reasoning capabilities, leading to their adoption in high-stakes domains such as healthcare, law, and scientific research. However, their reasoning often contains subtle logical…

Software Engineering · Computer Science 2025-12-30 Xinyi Zheng , Ningke Li , Xiaokun Luan , Kailong Wang , Ling Shi , Meng Sun , Haoyu Wang

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

Large Language Models (LLMs) often struggle with problems that require multi-step reasoning. For small-scale open-source models, Reinforcement Learning with Verifiable Rewards (RLVR) fails when correct solutions are rarely sampled even…

Computation and Language · Computer Science 2026-03-02 Yihe Deng , I-Hung Hsu , Jun Yan , Zifeng Wang , Rujun Han , Gufeng Zhang , Yanfei Chen , Wei Wang , Tomas Pfister , Chen-Yu Lee

Training expert LLMs in domains with scarce data is difficult, often relying on multiple-choice questions (MCQs). However, standard outcome-based reinforcement learning (RL) on MCQs is risky. While it may improve accuracy, we observe it…

Computation and Language · Computer Science 2025-10-13 Jiuheng Lin , Cong Jiang , Zirui Wu , Jiarui Sun , Yansong Feng

Verifiable generation aims to let the large language model (LLM) generate text with supporting documents, which enables the user to flexibly verify the answer and makes the LLM's output more reliable. Retrieval plays a crucial role in…

Computation and Language · Computer Science 2024-03-28 Xiaonan Li , Changtai Zhu , Linyang Li , Zhangyue Yin , Tianxiang Sun , Xipeng Qiu

Learning from negative samples holds great promise for improving Large Language Model (LLM) reasoning capability, yet existing methods treat all incorrect responses as equally informative, overlooking the crucial role of sample quality. To…

Machine Learning · Computer Science 2026-02-05 Zixiang Di , Jinyi Han , Shuo Zhang , Ying Liao , Zhi Li , Xiaofeng Ji , Yongqi Wang , Zheming Yang , Ming Gao , Bingdong Li , Jie Wang

Recent advancements in test time compute, particularly through the use of verifier models, have significantly enhanced the reasoning capabilities of Large Language Models (LLMs). This generator-verifier approach closely resembles the…

Machine Learning · Computer Science 2024-10-11 Jianing Qi , Hao Tang , Zhigang Zhu

Large language models (LLMs) can improve their accuracy on various tasks through iteratively refining and revising their output based on feedback. We observe that these revisions can introduce errors, in which case it is better to roll back…

Artificial Intelligence · Computer Science 2023-09-26 Kumar Shridhar , Harsh Jhamtani , Hao Fang , Benjamin Van Durme , Jason Eisner , Patrick Xia

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.…

Large reasoning models (LRMs) have recently shown promise in solving complex math problems when optimized with Reinforcement Learning (RL). But conventional approaches rely on outcome-only rewards that provide sparse feedback, resulting in…

Machine Learning · Computer Science 2025-08-01 Tao He , Rongchuan Mu , Lizi Liao , Yixin Cao , Ming Liu , Bing Qin

To enhance Large Language Models' (LLMs) reliability, calibration is essential -- the model's assessed confidence scores should align with the actual likelihood of its responses being correct. However, current confidence elicitation methods…

Computation and Language · Computer Science 2024-10-29 Yukun Huang , Yixin Liu , Raghuveer Thirukovalluru , Arman Cohan , Bhuwan Dhingra

State-of-the-art language models can exhibit impressive reasoning refinement capabilities on math, science or coding tasks. However, recent work demonstrates that even the best models struggle to identify \textit{when and where to refine}…

Computation and Language · Computer Science 2024-06-26 Alex Havrilla , Sharath Raparthy , Christoforus Nalmpantis , Jane Dwivedi-Yu , Maksym Zhuravinskyi , Eric Hambro , Roberta Raileanu

Large language models (LLMs) show strong capabilities in general reasoning but typically lack reliability in scientific domains like quantum mechanics, which demand strict adherence to physical constraints. This limitation arises from the…

Artificial Intelligence · Computer Science 2026-04-21 Songxin Qu , Tai-Ping Sun , Yun-Jie Wang , Huan-Yu Liu , Cheng Xue , Xiao-Fan Xu , Han Fang , Yang Yang , Yu-Chun Wu , Guo-Ping Guo , Zhao-Yun Chen

Large Language Models (LLMs) have shown remarkable capabilities in general natural language processing tasks but often fall short in complex reasoning tasks. Recent studies have explored human-like problem-solving strategies, such as…

Computation and Language · Computer Science 2023-12-19 Zhenran Xu , Senbao Shi , Baotian Hu , Jindi Yu , Dongfang Li , Min Zhang , Yuxiang Wu

Large language models (LLMs) often solve challenging math exercises yet fail to apply the concept right when the problem requires genuine understanding. Popular Reinforcement Learning with Verifiable Rewards (RLVR) pipelines reinforce final…

Artificial Intelligence · Computer Science 2026-05-08 Zijun Gao , Zhikun Xu , Xiao Ye , Ben Zhou

Evaluating large language models (LLMs) on final-answer correctness is the dominant paradigm. This approach, however, provides a coarse signal for model improvement and overlooks the quality of the underlying reasoning process. We argue…

Artificial Intelligence · Computer Science 2025-10-24 Heejin Do , Jaehui Hwang , Dongyoon Han , Seong Joon Oh , Sangdoo Yun