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Multimodal geometry reasoning requires models to jointly understand visual diagrams and perform structured symbolic inference, yet current vision--language models struggle with complex geometric constructions due to limited training data…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Haobo Lin , Tianyi Bai , Chen Chen , Jiajun Zhang , Bohan Zeng , Wentao Zhang , Binhang Yuan

Program code serves as a bridge linking vision and logic, providing a feasible supervisory approach for enhancing the multimodal reasoning capability of large models through geometric operations such as auxiliary line construction and…

Artificial Intelligence · Computer Science 2026-02-10 Zhenyu Wu , Yanxi Long , Jian Li , Hua Huang

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

Empowered by large-scale training, vision-language models (VLMs) achieve strong image and video understanding, yet their ability to perform spatial reasoning in both static scenes and dynamic videos remains limited. Recent advances try to…

Computer Vision and Pattern Recognition · Computer Science 2026-03-30 Shihua Zhang , Qiuhong Shen , Shizun Wang , Tianbo Pan , Xinchao Wang

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

We introduce GeoDANO, a geometric vision-language model (VLM) with a domain-agnostic vision encoder, for solving plane geometry problems. Although VLMs have been employed for solving geometry problems, their ability to recognize geometric…

Computer Vision and Pattern Recognition · Computer Science 2025-09-29 Seunghyuk Cho , Zhenyue Qin , Yang Liu , Youngbin Choi , Seungbeom Lee , Dongwoo Kim

Mathematical reasoning is a hallmark of human intelligence, requiring logical deduction, symbolic manipulation, and abstract thinking. Recent multimodal large language models (MLLMs) have demonstrated strong performance on geometry problems…

Computation and Language · Computer Science 2026-05-26 Yingji Zhang , Yong Dai , André Freitas

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

Humans possess the remarkable skill of Visual Perception, the ability to see and understand the seen, helping them make sense of the visual world and, in turn, reason. Multimodal Large Language Models (MLLM) have recently achieved…

Computer Vision and Pattern Recognition · Computer Science 2023-12-25 Jitesh Jain , Jianwei Yang , Humphrey Shi

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

Predicting program behavior and reasoning about code execution remain significant challenges in software engineering, particularly for large language models (LLMs) designed for code analysis. While these models excel at understanding static…

Software Engineering · Computer Science 2025-02-11 Cuong Chi Le , Hoang-Chau Truong-Vinh , Huy Nhat Phan , Dung Duy Le , Tien N. Nguyen , Nghi D. Q. Bui

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

Large Language Models (LLMs) have demonstrated strong reasoning abilities, making them suitable for complex tasks such as graph computation. Traditional reasoning steps paradigm for graph problems is hindered by unverifiable steps, limited…

Computation and Language · Computer Science 2024-10-28 Qifan Zhang , Xiaobin Hong , Jianheng Tang , Nuo Chen , Yuhan Li , Wenzhong Li , Jing Tang , Jia Li

Auxiliary lines are essential for solving complex geometric problems but remain challenging for large vision-language models (LVLMs). Recent attempts construct auxiliary lines via code-driven rendering, a strategy that relies on accurate…

Computer Vision and Pattern Recognition · Computer Science 2026-01-27 Shasha Guo , Liang Pang , Xi Wang , Yanling Wang , Huawei Shen , Jing Zhang

The application of Vision-Language Models (VLMs) in remote sensing (RS) image understanding has achieved notable progress, demonstrating the basic ability to recognize and describe geographical entities. However, existing RS-VLMs are mostly…

Computer Vision and Pattern Recognition · Computer Science 2025-07-21 Xianzhi Ma , Jianhui Li , Changhua Pei , Hao Liu

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

Natural language image-caption datasets, widely used for training Large Multimodal Models, mainly focus on natural scenarios and overlook the intricate details of mathematical figures that are critical for problem-solving, hindering the…

Computer Vision and Pattern Recognition · Computer Science 2025-05-16 Ke Wang , Junting Pan , Linda Wei , Aojun Zhou , Weikang Shi , Zimu Lu , Han Xiao , Yunqiao Yang , Houxing Ren , Mingjie Zhan , Hongsheng Li

Spatio-temporal reasoning in vision-language models requires visual representations that preserve physical geometry rather than merely semantic appearance. Recent multimodal models incorporate geometric information through structural…

Computer Vision and Pattern Recognition · Computer Science 2026-05-22 Deshui Miao , Xingsen Huang , Yameng Gu , Xin Li , Haijun Zhang , Ming-Hsuan Yang

This paper presents GPSM4K, a comprehensive geometry multimodal dataset tailored to augment the problem-solving capabilities of Large Vision Language Models (LVLMs). GPSM4K encompasses 2157 multimodal question-answer pairs manually…

This work tackles the problem of geo-localization with a new paradigm using a large vision-language model (LVLM) augmented with human inference knowledge. A primary challenge here is the scarcity of data for training the LVLM - existing…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Ling Li , Yu Ye , Yao Zhou , Bingchuan Jiang , Wei Zeng
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