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Large language models (LLMs) have shown remarkable reasoning capabilities, especially when prompted to generate intermediate reasoning steps (e.g., Chain-of-Thought, CoT). However, LLMs can still struggle with problems that are easy for…

Computation and Language · Computer Science 2023-10-24 Shibo Hao , Yi Gu , Haodi Ma , Joshua Jiahua Hong , Zhen Wang , Daisy Zhe Wang , Zhiting Hu

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

Existing approaches to mathematical reasoning with large language models (LLMs) rely on Chain-of-Thought (CoT) for generalizability or Tool-Integrated Reasoning (TIR) for precise computation. While efforts have been made to combine these…

Computation and Language · Computer Science 2026-02-13 Xin Xu , Yan Xu , Tianhao Chen , Yuchen Yan , Chengwu Liu , Zaoyu Chen , Yufei Wang , Yichun Yin , Yasheng Wang , Lifeng Shang , Qun Liu , Lu Yin

Large Language Models (LLMs), when enhanced through reasoning-oriented post-training, evolve into powerful Large Reasoning Models (LRMs). Tool-Integrated Reasoning (TIR) further extends their capabilities by incorporating external tools,…

Computation and Language · Computer Science 2025-07-30 Yifan Wei , Xiaoyan Yu , Yixuan Weng , Tengfei Pan , Angsheng Li , Li Du

Tool-augmented Large Language Models (TALMs) are known to enhance the skillset of large language models (LLMs), thereby, leading to their improved reasoning abilities across many tasks. While, TALMs have been successfully employed in…

Computation and Language · Computer Science 2024-04-04 Debrup Das , Debopriyo Banerjee , Somak Aditya , Ashish Kulkarni

Large language models (LLMs) have increasingly leveraged tool invocation to enhance their reasoning capabilities. However, existing approaches typically tightly couple tool invocation with immediate execution. Such immediate tool…

Computation and Language · Computer Science 2026-05-19 Li Wang , Xiaohan Wang , Xiaodong Lu , Zipeng Zhang , Jinyang Wu , Jiajun Chai , Wei Lin , Guojun Yin

Multimodal Large Language Models (MLLMs) excel in solving text-based mathematical problems, but they struggle with mathematical diagrams since they are primarily trained on natural scene images. For humans, visual aids generally enhance…

Computation and Language · Computer Science 2024-09-26 Wenwen Zhuang , Xin Huang , Xiantao Zhang , Jin Zeng

In Large Language Models (LLMs), there have been consistent advancements in task-specific performance, largely influenced by effective prompt design. Recent advancements in prompting have enhanced reasoning in logic-intensive tasks for…

Computation and Language · Computer Science 2024-03-22 Yuqing Wang , Yun Zhao

Addressing the challenge of high annotation costs in solving Math Word Problems (MWPs) through full supervision with intermediate equations, recent works have proposed weakly supervised task settings that rely solely on the final answer as…

Computation and Language · Computer Science 2024-09-11 Qingwen Lin , Boyan Xu , Zhengting Huang , Ruichu Cai

In utilizing large language models (LLMs) for mathematical reasoning, addressing the errors in the reasoning and calculation present in the generated text by LLMs is a crucial challenge. In this paper, we propose a novel framework that…

Artificial Intelligence · Computer Science 2023-10-12 Ryutaro Yamauchi , Sho Sonoda , Akiyoshi Sannai , Wataru Kumagai

Despite their success in many natural language tasks, solving math problems remains a significant challenge for large language models (LLMs). A large gap exists between LLMs' pass-at-one and pass-at-N performance in solving math problems,…

Computation and Language · Computer Science 2023-10-17 Yixin Liu , Avi Singh , C. Daniel Freeman , John D. Co-Reyes , Peter J. Liu

The emergence of large language models (LLMs) has substantially influenced natural language processing, demonstrating exceptional results across various tasks. In this study, we employ ``Introspective Tips" to facilitate LLMs in…

Artificial Intelligence · Computer Science 2023-05-22 Liting Chen , Lu Wang , Hang Dong , Yali Du , Jie Yan , Fangkai Yang , Shuang Li , Pu Zhao , Si Qin , Saravan Rajmohan , Qingwei Lin , Dongmei Zhang

In this paper, we present our finding that prepending a Task-Agnostic Prefix Prompt (TAPP) to the input improves the instruction-following ability of various Large Language Models (LLMs) during inference. TAPP is different from canonical…

Computation and Language · Computer Science 2023-12-27 Seonghyeon Ye , Hyeonbin Hwang , Sohee Yang , Hyeongu Yun , Yireun Kim , Minjoon Seo

Although LLMs have the potential to transform many fields, they still underperform humans in reasoning tasks. Existing methods induce the model to produce step-by-step calculations, but this research explores the question: Does making the…

Computation and Language · Computer Science 2024-08-27 Dharunish Yugeswardeenoo , Kevin Zhu , Sean O'Brien

Large Language Models (LLMs) with reasoning capabilities have achieved state-of-the-art performance on a wide range of tasks. Despite its empirical success, the tasks and model scales at which reasoning becomes effective, as well as its…

Computation and Language · Computer Science 2025-09-29 Nicolas Boizard , Hippolyte Gisserot-Boukhlef , Kevin El-Haddad , Céline Hudelot , Pierre Colombo

Researchers have made notable progress in applying Large Language Models (LLMs) to solve math problems, as demonstrated through efforts like GSM8k, ProofNet, AlphaGeometry, and MathOdyssey. This progress has sparked interest in their…

Human-Computer Interaction · Computer Science 2025-03-24 Adit Gupta , Jennifer Reddig , Tommaso Calo , Daniel Weitekamp , Christopher J. MacLellan

Large Language Models (LLMs) have demonstrated potential in predicting mental health outcomes from online text, yet traditional classification methods often lack interpretability and robustness. This study evaluates structured reasoning…

Computation and Language · Computer Science 2026-01-09 Avinash Patil , Amardeep Kour Gedhu

Large language models (LLMs), when guided by explicit textual plans, can perform reliable step-by-step reasoning during problem-solving. However, generating accurate and effective textual plans remains challenging due to LLM hallucinations…

Computation and Language · Computer Science 2026-01-01 Sijia Chen , Di Niu

Large language models (LLMs) have made significant progress in natural language understanding and generation, driven by scalable pretraining and advanced finetuning. However, enhancing reasoning abilities in LLMs, particularly via…

Artificial Intelligence · Computer Science 2025-05-30 Huimu Yu , Xing Wu , Haotian Xu , Debing Zhang , Songlin Hu

Prompting methods play a crucial role in enhancing the capabilities of pre-trained large language models (LLMs). We explore how contrastive prompting (CP) significantly improves the ability of large language models to perform complex…

Computation and Language · Computer Science 2026-03-06 Liang Yao