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Solving mathematical problems using computer-verifiable languages like Lean has significantly impacted the mathematical and computer science communities. State-of-the-art methods utilize a single Large Language Model (LLM) to generate…

Computation and Language · Computer Science 2025-05-28 Ruida Wang , Rui Pan , Yuxin Li , Jipeng Zhang , Yizhen Jia , Shizhe Diao , Renjie Pi , Junjie Hu , Tong Zhang

Large language models (LLMs) have shown impressive multilingual capabilities through pretraining on diverse corpora. Although these models show strong reasoning abilities, their performance varies significantly between languages due to the…

Computation and Language · Computer Science 2026-04-15 Weihua Zheng , Xin Huang , Zhengyuan Liu , Tarun Kumar Vangani , Bowei Zou , Xiyan Tao , Yuhao Wu , Ai Ti Aw , Nancy F. Chen , Roy Ka-Wei Lee

We introduce InfiFusion, an efficient training pipeline designed to integrate multiple domain-specialized Large Language Models (LLMs) into a single pivot model, effectively harnessing the strengths of each source model. Traditional fusion…

Computation and Language · Computer Science 2025-02-18 Zhaoyi Yan , Yiming Zhang , Baoyi He , Yuhao Fu , Qi Zhou , Zhijie Sang , Chunlin Ji , Shengyu Zhang , Fei Wu , Hongxia Yang

Recent studies have shown that large language models' (LLMs) mathematical problem-solving capabilities can be enhanced by integrating external tools, such as code interpreters, and employing multi-turn Chain-of-Thought (CoT) reasoning.…

Large language models (LLMs) have demonstrated impressive reasoning capabilities, particularly in textual mathematical problem-solving. However, existing open-source image instruction fine-tuning datasets, containing limited question-answer…

Computation and Language · Computer Science 2024-10-10 Wenhao Shi , Zhiqiang Hu , Yi Bin , Junhua Liu , Yang Yang , See-Kiong Ng , Lidong Bing , Roy Ka-Wei Lee

Mathematical reasoning serves as a cornerstone for assessing the fundamental cognitive capabilities of human intelligence. In recent times, there has been a notable surge in the development of Large Language Models (LLMs) geared towards the…

Computation and Language · Computer Science 2024-09-18 Janice Ahn , Rishu Verma , Renze Lou , Di Liu , Rui Zhang , Wenpeng Yin

Fine-tuning large language models (LLMs) on multi-task instruction-following data has been proven to be a powerful learning paradigm for improving their zero-shot capabilities on new tasks. Recent works about high-quality…

Computation and Language · Computer Science 2024-06-17 Wei Han , Hui Chen , Soujanya Poria

Although Large Language Models (LLMs) achieve remarkable performance across various tasks, they often struggle with complex reasoning tasks, such as answering mathematical questions. Recent efforts to address this issue have primarily…

Machine Learning · Computer Science 2024-06-27 Jikun Kang , Xin Zhe Li , Xi Chen , Amirreza Kazemi , Qianyi Sun , Boxing Chen , Dong Li , Xu He , Quan He , Feng Wen , Jianye Hao , Jun Yao

Human beings naturally utilize multiple reasoning modalities to learn and solve logical problems, i.e., different representational formats such as natural language, code, and symbolic logic. In contrast, most existing LLM-based approaches…

Computation and Language · Computer Science 2025-06-11 Tong Zheng , Lichang Chen , Simeng Han , R. Thomas McCoy , Heng Huang

Mathematical language is a cornerstone of a child's mathematical development, and children can effectively acquire this language through storytelling with a knowledgeable and engaging partner. In this study, we leverage the recent advances…

Human-Computer Interaction · Computer Science 2024-02-28 Chao Zhang , Xuechen Liu , Katherine Ziska , Soobin Jeon , Chi-Lin Yu , Ying Xu

Large Language Models (LLMs) show significant potential in AI mathematical tutoring, yet current evaluations often rely on simplistic metrics or narrow pedagogical scenarios, failing to assess comprehensive, multi-turn teaching…

Computation and Language · Computer Science 2026-03-04 Weikang Shi , Houxing Ren , Junting Pan , Aojun Zhou , Ke Wang , Zimu Lu , Yunqiao Yang , Yuxuan Hu , Linda Wei , Mingjie Zhan , Hongsheng Li

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

Achieving consistent high-quality machine translation (MT) across diverse domains remains a significant challenge, primarily due to the limited and imbalanced parallel training data available in various domains. While large language models…

Computation and Language · Computer Science 2024-10-04 Tianxiang Hu , Pei Zhang , Baosong Yang , Jun Xie , Derek F. Wong , Rui Wang

With the introduction of large language models (LLMs), automatic math reasoning has seen tremendous success. However, current methods primarily focus on providing solutions or using techniques like Chain-of-Thought to enhance…

Computation and Language · Computer Science 2024-07-25 Yuyang Ding , Hanglei Hu , Jie Zhou , Qin Chen , Bo Jiang , Liang He

Instruction tuning is now a widely adopted approach to aligning large multimodal models (LMMs) to follow human intent. It unifies the data format of vision-language tasks, enabling multi-task joint training. However, vision-language tasks…

Machine Learning · Computer Science 2023-11-29 Jinghan He , Haiyun Guo , Ming Tang , Jinqiao Wang

While Large Language Models (LLMs) demonstrate impressive performance in mathematics, existing math benchmarks come with significant limitations. Many focus on problems with fixed ground-truth answers, and are often saturated due to problem…

Artificial Intelligence · Computer Science 2025-10-02 Mislav Balunović , Jasper Dekoninck , Nikola Jovanović , Ivo Petrov , Martin Vechev

Large language models (LLMs) excel in complex reasoning tasks, and distilling their reasoning capabilities into smaller models has shown promise. However, we uncover an interesting phenomenon, which we term the Small Model Learnability Gap:…

Artificial Intelligence · Computer Science 2025-11-14 Yuetai Li , Xiang Yue , Zhangchen Xu , Fengqing Jiang , Luyao Niu , Bill Yuchen Lin , Bhaskar Ramasubramanian , Radha Poovendran

Mathematical reasoning poses a significant challenge for language models due to its complex and structured nature. In this paper, we introduce DeepSeekMath 7B, which continues pre-training DeepSeek-Coder-Base-v1.5 7B with 120B math-related…

Computation and Language · Computer Science 2024-04-30 Zhihong Shao , Peiyi Wang , Qihao Zhu , Runxin Xu , Junxiao Song , Xiao Bi , Haowei Zhang , Mingchuan Zhang , Y. K. Li , Y. Wu , Daya Guo

Large Multimodal Models (LMMs) exhibit remarkable multi-tasking ability by learning mixed instruction datasets. However, novel tasks would be encountered sequentially in dynamic world, which urges for equipping LMMs with multimodal…

Computer Vision and Pattern Recognition · Computer Science 2025-08-26 Fanhu Zeng , Fei Zhu , Haiyang Guo , Xu-Yao Zhang , Cheng-Lin Liu

With the remarkable success of Multimodal Large Language Models (MLLMs) in perception tasks, enhancing their complex reasoning capabilities has emerged as a critical research focus. Existing models still suffer from challenges such as…

Computation and Language · Computer Science 2025-12-01 Wenxin Zhu , Andong Chen , Yuchen Song , Kehai Chen , Conghui Zhu , Ziyan Chen , Tiejun Zhao