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Large language models (LLMs) have shown remarkable proficiency in human-level reasoning and generation capabilities, which encourages extensive research on their application in mathematical problem solving. However, current work has been…

Computation and Language · Computer Science 2025-08-21 Jiahui Gao , Renjie Pi , Jipeng Zhang , Jiacheng Ye , Wanjun Zhong , Yufei Wang , Lanqing Hong , Jianhua Han , Hang Xu , Zhenguo Li , Lingpeng Kong

Large language models have shown impressive results for multi-hop mathematical reasoning when the input question is only textual. Many mathematical reasoning problems, however, contain both text and image. With the ever-increasing adoption…

Computer Vision and Pattern Recognition · Computer Science 2023-12-20 Mehran Kazemi , Hamidreza Alvari , Ankit Anand , Jialin Wu , Xi Chen , Radu Soricut

Large language models (LLMs) have demonstrated strong reasoning capabilities in text-based mathematical problem solving; however, when adapted to visual reasoning tasks, particularly geometric problem solving, their performance…

Artificial Intelligence · Computer Science 2025-10-28 Nannan Shi , Chuanyu Qin , Shipeng Song , Man Luo

Large language models have seen widespread adoption in math problem-solving. However, in geometry problems that usually require visual aids for better understanding, even the most advanced multi-modal models currently still face challenges…

Computer Vision and Pattern Recognition · Computer Science 2024-06-18 Shihao Cai , Keqin Bao , Hangyu Guo , Jizhi Zhang , Jun Song , Bo Zheng

Geometry mathematics problems pose significant challenges for large language models (LLMs) because they involve visual elements and spatial reasoning. Current methods primarily rely on symbolic character awareness to address these problems.…

Computer Vision and Pattern Recognition · Computer Science 2024-12-17 Shihao Xu , Yiyang Luo , Wei Shi

Plane Geometry Problem Solving (PGPS) is a multimodal reasoning task that aims to solve a plane geometric problem based on a geometric diagram and problem textual descriptions. Although Large Language Models (LLMs) possess strong reasoning…

Artificial Intelligence · Computer Science 2026-05-12 Jingyun Wang , Dian Li , Xiaohan Wang , Gang Liu , Jiahong Yan , Guoliang Kang

Multimodal Large Language Models (MLLMs) have achieved remarkable progress but continue to struggle with geometric reasoning, primarily due to the perception bottleneck regarding fine-grained visual elements. While formal languages have…

Computer Vision and Pattern Recognition · Computer Science 2026-04-17 Peijie Wang , Ming-Liang Zhang , Jun Cao , Chao Deng , Dekang Ran , Hongda Sun , Pi Bu , Xuan Zhang , Yingyao Wang , Jun Song , Bo Zheng , Fei Yin , Cheng-Lin Liu

Geometry problem-solving (GPS), a challenging task requiring both visual comprehension and symbolic reasoning, effectively measures the reasoning capabilities of multimodal large language models (MLLMs). Humans exhibit strong reasoning…

Computation and Language · Computer Science 2025-04-25 Liangyu Xu , Yingxiu Zhao , Jingyun Wang , Yingyao Wang , Bu Pi , Chen Wang , Mingliang Zhang , Jihao Gu , Xiang Li , Xiaoyong Zhu , Jun Song , Bo Zheng

Large language models (LLMs) have demonstrated significant capabilities in mathematical reasoning, particularly with text-based mathematical problems. However, current multi-modal large language models (MLLMs), especially those specialized…

Computation and Language · Computer Science 2024-12-03 Zhen Yang , Jinhao Chen , Zhengxiao Du , Wenmeng Yu , Weihan Wang , Wenyi Hong , Zhihuan Jiang , Bin Xu , Jie Tang

Evaluating the symbolic reasoning of large language models (LLMs) calls for geometry benchmarks that require multi-step proofs grounded in both text and diagrams. However, existing benchmarks are often limited in scale and rarely provide…

Computation and Language · Computer Science 2026-03-23 Yushun Zhang , Weiping Fu , Zesheng Yang , Bo Zhao , Lingling Zhang , Jian Zhang , Yumeng Fu , Jiaxing Huang , Jun Liu

Despite their proficiency in general tasks, Multi-modal Large Language Models (MLLMs) struggle with automatic Geometry Problem Solving (GPS), which demands understanding diagrams, interpreting symbols, and performing complex reasoning. This…

Computer Vision and Pattern Recognition · Computer Science 2025-01-13 Renqiu Xia , Mingsheng Li , Hancheng Ye , Wenjie Wu , Hongbin Zhou , Jiakang Yuan , Tianshuo Peng , Xinyu Cai , Xiangchao Yan , Bin Wang , Conghui He , Botian Shi , Tao Chen , Junchi Yan , Bo Zhang

Large Vision-Language Models (LVLMs) have demonstrated impressive capabilities in multimodal understanding, yet their reasoning abilities remain underexplored. Existing benchmarks tend to focus on perception or text-based comprehension,…

Computation and Language · Computer Science 2025-08-28 Xiang Li , Wenyue Hua , Kaijie Zhu , Lingyao Li , Haoyang Ling , Jinkui Chi , Qi Dou , Jindong Wang , Yongfeng Zhang , Xin Ma , Lizhou Fan

Vision language models (VLMs) achieve unified modeling of images and text, enabling them to accomplish complex real-world tasks through perception, planning, and reasoning. Among these tasks, reasoning is particularly representative, with…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Fan Yuan , Yuchen Yan , Yifan Jiang , Haoran Zhao , Tao Feng , Jinyan Chen , Yanwei Lou , Wenqi Zhang , Yongliang Shen , Weiming Lu , Jun Xiao , Yueting Zhuang

Large Multimodal Models (LMMs) often struggle with geometric reasoning due to visual hallucinations and a lack of mathematically precise Chain-of-Thought (CoT) data. To address this, we propose the GeoSym Engine, an automated and scalable…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Jinhao Jing , Zheng Ma , Jinwei Liang , Qiannian Zhao , Shawn Chen , Jing Yang , Por Lip Yee , Prayag Tiwari , Jingjing Bai , Benyou Wang , Lewei Lu , Zhan Su

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

Recent advances in Multimodal Large Language Models (MLLMs) have achieved remarkable progress in general domains and demonstrated promise in multimodal mathematical reasoning. However, applying MLLMs to geometry problem solving (GPS)…

Computation and Language · Computer Science 2025-04-18 Yicheng Pan , Zhenrong Zhang , Pengfei Hu , Jiefeng Ma , Jun Du , Jianshu Zhang , Quan Liu , Jianqing Gao , Feng Ma

Recent advancements in large language models (LLMs) and multi-modal models (MMs) have demonstrated their remarkable capabilities in problem-solving. Yet, their proficiency in tackling geometry math problems, which necessitates an integrated…

Artificial Intelligence · Computer Science 2024-05-20 Jiaxin Zhang , Zhongzhi Li , Mingliang Zhang , Fei Yin , Chenglin Liu , Yashar Moshfeghi

Multimodal Large Language Models (MLLMs) have demonstrated impressive progress in single-image grounding and general multi-image understanding. Recently, some methods begin to address multi-image grounding. However, they are constrained by…

Computer Vision and Pattern Recognition · Computer Science 2026-01-09 Shurong Zheng , Yousong Zhu , Hongyin Zhao , Fan Yang , Yufei Zhan , Ming Tang , Jinqiao Wang

Large Language Models (LLMs) are increasingly deployed in applications that interact with the physical world, such as navigation, robotics, or mapping, making robust geospatial reasoning a critical capability. Despite that, LLMs' ability to…

Artificial Intelligence · Computer Science 2026-02-19 Thinh Hung Truong , Jey Han Lau , Jianzhong Qi

Geometric problem solving constitutes a critical branch of mathematical reasoning, requiring precise analysis of shapes and spatial relationships. Current evaluations of geometric reasoning in vision-language models (VLMs) face limitations,…

Computer Vision and Pattern Recognition · Computer Science 2026-01-01 Yuan Feng , Yue Yang , Xiaohan He , Jiatong Zhao , Jianlong Chen , Zijun Chen , Daocheng Fu , Qi Liu , Renqiu Xia , Bo Zhang , Junchi Yan
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