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Large language models (LLMs) have significantly advanced natural language understanding and demonstrated strong problem-solving abilities. Despite these successes, most LLMs still struggle with solving mathematical problems due to the…

Computation and Language · Computer Science 2024-06-27 Meng Fang , Xiangpeng Wan , Fei Lu , Fei Xing , Kai Zou

Reasoning in large language models has long been a central research focus, and recent studies employing reinforcement learning (RL) have introduced diverse methods that yield substantial performance gains with minimal or even no external…

Multiple choice questions (MCQs) are a popular method for evaluating students' knowledge due to their efficiency in administration and grading. Crafting high-quality math MCQs is a labor-intensive process that requires educators to…

Computation and Language · Computer Science 2024-05-03 Jaewook Lee , Digory Smith , Simon Woodhead , Andrew Lan

Fine-tuning for large language models (LLMs) typically requires substantial amounts of high-quality supervised data, which is both costly and labor-intensive to acquire. While synthetic data generation has emerged as a promising solution,…

Computation and Language · Computer Science 2025-05-28 Zihong Chen , Wanli Jiang , Jinzhe Li , Zhonghang Yuan , Huanjun Kong , Wanli Ouyang , Nanqing Dong

Large Multimodal Models (LMMs), or Vision-Language Models (VLMs), have shown impressive capabilities in a wide range of visual tasks. However, they often struggle with fine-grained visual reasoning, failing to identify domain-specific…

Computer Vision and Pattern Recognition · Computer Science 2025-02-26 Yucheng Shi , Quanzheng Li , Jin Sun , Xiang Li , Ninghao Liu

Large Language Models (LLMs) have been applied to Math Word Problems (MWPs) with transformative impacts, revolutionizing how these complex problems are approached and solved in various domains including educational settings. However, the…

Computation and Language · Computer Science 2024-06-18 Joykirat Singh , Akshay Nambi , Vibhav Vineet

Large language models (LLMs) demonstrate remarkable performance across various tasks, prompting researchers to develop diverse evaluation benchmarks. However, most benchmarks typically measure the ability of LLMs to respond to individual…

Computation and Language · Computer Science 2026-01-30 Yutao Hou , Yajing Luo , Zhiwen Ruan , Hongru Wang , Weifeng Ge , Yun Chen , Guanhua Chen

This paper aims to advance the mathematical intelligence of machines by presenting the first Chinese mathematical pre-trained language model~(PLM) for effectively understanding and representing mathematical problems. Unlike other standard…

Computation and Language · Computer Science 2022-06-14 Wayne Xin Zhao , Kun Zhou , Zheng Gong , Beichen Zhang , Yuanhang Zhou , Jing Sha , Zhigang Chen , Shijin Wang , Cong Liu , Ji-Rong Wen

Vision-language alignment in multi-modal large language models (MLLMs) relies on supervised fine-tuning (SFT) or reinforcement learning (RL). To align multi-modal large language models (MLLMs) in the post-training stage, supervised…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Xin Jin , Siyuan Li , Siyong Jian , Kai Yu , Huan Wang

Training large language models (LLMs) with synthetic reasoning data has become a popular approach to enhancing their reasoning capabilities, while a key factor influencing the effectiveness of this paradigm is the quality of the generated…

Artificial Intelligence · Computer Science 2026-03-24 Zhuojie Yang , Wentao Wan , Keze Wang

Mixup generates augmented samples by linearly interpolating inputs and labels with a controllable ratio. However, since it operates in the latent embedding level, the resulting samples are not human-interpretable. In contrast, LLM-based…

Computation and Language · Computer Science 2026-02-09 Fanshuang Kong , Richong Zhang , Qiyu Sun , Zhijie Nie , Ting Deng , Chunming Hu

Large language models (LLMs) rely on pretraining on massive and heterogeneous corpora, where training data composition has a decisive impact on training efficiency and downstream generalization under realistic compute and data budget…

Computation and Language · Computer Science 2026-04-21 Zhuo Chen , Yuxuan Miao , Supryadi , Deyi Xiong

Large Language Models (LLMs) are increasingly utilized in AI-driven educational instruction and assessment, particularly within mathematics education. The capability of LLMs to generate accurate answers and detailed solutions for math…

Artificial Intelligence · Computer Science 2025-08-15 Liang Zhang , Edith Aurora Graf

While Large Language Models (LLMs) have excelled in textual reasoning, they struggle with mathematical domains like geometry that intrinsically rely on visual aids. Existing approaches to Visual Chain-of-Thought (VCoT) are often limited by…

Computer Vision and Pattern Recognition · Computer Science 2025-10-17 Weikang Shi , Aldrich Yu , Rongyao Fang , Houxing Ren , Ke Wang , Aojun Zhou , Changyao Tian , Xinyu Fu , Yuxuan Hu , Zimu Lu , Linjiang Huang , Si Liu , Rui Liu , Hongsheng Li

Mathematical problem solving is a fundamental benchmark for assessing the reasoning capabilities of artificial intelligence and a gateway to applications in education, science, and engineering where reliable symbolic reasoning is essential.…

Artificial Intelligence · Computer Science 2026-02-10 Aditya Basarkar , Benyamin Tabarsi , Tiffany Barnes , Dongkuan Xu

Mathematical reasoning in Large Language Models (LLMs) is often evaluated using benchmarks with limited numerical ranges, failing to reflect real-world problem-solving across diverse scales. Furthermore, most existing evaluation methods…

Machine Learning · Computer Science 2025-02-14 Safal Shrestha , Minwu Kim , Keith Ross

Mathematics is often perceived as a complex subject by students, leading to high failure rates in exams. To improve Mathematics skills, it is important to provide sample questions for students to practice problem-solving. Manually creating…

Recent advances in Vision Language Models (VLMs) have driven significant progress in visual reasoning. However, open-source VLMs still lag behind proprietary systems, largely due to the lack of high-quality reasoning data. Existing datasets…

Computer Vision and Pattern Recognition · Computer Science 2026-01-30 Honglin Lin , Zheng Liu , Yun Zhu , Chonghan Qin , Juekai Lin , Xiaoran Shang , Conghui He , Wentao Zhang , Lijun Wu

Pre-trained Large Language Models (LLMs) are beginning to dominate the discourse around automatic code generation with natural language specifications. In contrast, the best-performing synthesizers in the domain of formal synthesis with…

Artificial Intelligence · Computer Science 2024-05-28 Yixuan Li , Julian Parsert , Elizabeth Polgreen

In this paper, we introduce ReasonEmbed, a novel text embedding model developed for reasoning-intensive document retrieval. Our work includes three key technical contributions. First, we propose ReMixer, a new data synthesis method that…

Information Retrieval · Computer Science 2026-04-21 Jianlyu Chen , Junwei Lan , Chaofan Li , Defu Lian , Zheng Liu