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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

Obtaining large-scale, high-quality reasoning data is crucial for improving the geometric reasoning capabilities of multi-modal large language models (MLLMs). However, existing data generation methods, whether based on predefined tem plates…

Computation and Language · Computer Science 2025-10-06 Weiming Wu , Jin Ye , Zi-kang Wang , Zhi Zhou , Yu-Feng Li , Lan-Zhe Guo

Geometric Problem Solving (GPS) poses a unique challenge for Multimodal Large Language Models (MLLMs), requiring not only the joint interpretation of text and diagrams but also iterative visuospatial reasoning. While existing approaches…

Artificial Intelligence · Computer Science 2026-03-26 Shichao Weng , Zhiqiang Wang , Yuhua Zhou , Rui Lu , Ting Liu , Zhiyang Teng , Xiaozhang Liu , Hanmeng Liu

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

Recent neuro-symbolic geometry theorem provers have made significant progress on Euclidean problems by coupling neural guidance with symbolic verification. However, most existing systems operate almost exclusively in a symbolic space,…

Artificial Intelligence · Computer Science 2026-02-24 Minfeng Zhu , Zi Wang , Sizhe Ji , Zhengtong Du , Shengqiang Tai , Junming Ke , Xiao Deng , Zanlang Yin , Xiuqi Huang , Heyu Wang , Wei Chen

Vision-Language Models (VLMs) in remote sensing often fail at complex analytical tasks, a limitation stemming from their end-to-end training paradigm that bypasses crucial reasoning steps and leads to unverifiable outputs. To address this…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Jiaqi Liu , Lang Sun , Ronghao Fu , Bo Yang

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

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…

While Vision-Language Models (VLMs) have significantly advanced remote sensing interpretation, enabling them to perform complex, step-by-step reasoning remains highly challenging. Recent efforts to introduce Chain-of-Thought (CoT) reasoning…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Lang Sun , Ronghao Fu , Zhuoran Duan , Haoran Liu , Xueyan Liu , Bo Yang

Large vision language models exhibit notable limitations on Geometry Problem Solving (GPS) because of their unreliable diagram interpretation and pure natural-language reasoning. A recent line of work mitigates this by using symbolic…

Machine Learning · Computer Science 2025-08-13 Tianyun Yang , Yunwen Li , Ziniu Li , Zhihang Lin , Ruoyu Sun , Tian Ding

Geometric spatial reasoning forms the foundation of many applications in artificial intelligence, yet the ability of large language models (LLMs) to operate over geometric spatial information expressed in procedural code remains…

Artificial Intelligence · Computer Science 2026-02-11 Shixian Luo , Zezhou Zhu , Yu Yuan , Yuncheng Yang , Lianlei Shan , Yong Wu

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

The evolution of Remote Sensing Vision-Language Models(RS-VLMs) emphasizes the importance of transitioning from perception-centric recognition toward high-level deductive reasoning to enhance cognitive reliability in complex spatial tasks.…

Computer Vision and Pattern Recognition · Computer Science 2026-01-09 Wenshuai Li , Xiantai Xiang , Zixiao Wen , Guangyao Zhou , Ben Niu , Feng Wang , Lijia Huang , Qiantong Wang , Yuxin Hu

Multi-modal Large Language Models (MLLMs) have gained significant attention in both academia and industry for their capabilities in handling multi-modal tasks. However, these models face challenges in mathematical geometric reasoning due to…

Artificial Intelligence · Computer Science 2025-11-03 Yuhao Zhang , Dingxin Hu , Tinghao Yu , Hao Liu , Yiting Liu

Mathematical geometric reasoning is essential for scientific discovery and educational development, requiring precise logic and rigorous formal verification. While recent advances in Multimodal Large Language Models (MLLMs) have improved…

Artificial Intelligence · Computer Science 2025-08-06 Jingxuan Wei , Caijun Jia , Qi Chen , Honghao He , Linzhuang Sun , Conghui He , Lijun Wu , Bihui Yu , Cheng Tan

Large Multimodal Models (LMMs) face limitations in geometric reasoning due to insufficient Chain of Thought (CoT) image-text training data. While existing approaches leverage template-based or LLM-assisted methods for geometric CoT data…

Artificial Intelligence · Computer Science 2025-06-02 Linger Deng , Linghao Zhu , Yuliang Liu , Yu Wang , Qunyi Xie , Jingjing Wu , Gang Zhang , Yingying Zhu , Xiang Bai

Large Language Models (LLMs) often struggle with complex mathematical reasoning, where prose-based generation leads to unverified and arithmetically unsound solutions. Current prompting strategies like Chain of Thought still operate within…

Computation and Language · Computer Science 2026-01-27 Sina Bagheri Nezhad , Yao Li , Ameeta Agrawal

The advancement of Large Vision-Language Models (LVLMs) requires precise local region-based reasoning that faithfully grounds the model's logic in actual visual evidence. However, existing datasets face limitations in scalability due to…

Computer Vision and Pattern Recognition · Computer Science 2026-04-24 Byeonggeuk Lim , Kyeonghyun Kim , JungMin Yun , YoungBin Kim

Multimodal Small-to-Medium sized Language Models (MSLMs) have demonstrated strong capabilities in integrating visual and textual information but still face significant limitations in visual comprehension and mathematical reasoning,…

Machine Learning · Computer Science 2026-01-27 Ashutosh Bajpai , Akshat Bhandari , Akshay Nambi , Tanmoy Chakraborty

Despite great progress, existing multimodal large language models (MLLMs) are prone to visual hallucination, greatly impeding their trustworthy applications. In this paper, we study this problem from the perspective of visual-spatial…

Computer Vision and Pattern Recognition · Computer Science 2025-03-25 Qiong Wu , Xiangcong Yang , Yiyi Zhou , Chenxin Fang , Baiyang Song , Xiaoshuai Sun , Rongrong Ji
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