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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…

人工智能 · 计算机科学 2026-05-12 Jingyun Wang , Dian Li , Xiaohan Wang , Gang Liu , Jiahong Yan , Guoliang Kang

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…

计算机视觉与模式识别 · 计算机科学 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 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…

计算与语言 · 计算机科学 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

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…

计算与语言 · 计算机科学 2026-03-23 Yushun Zhang , Weiping Fu , Zesheng Yang , Bo Zhao , Lingling Zhang , Jian Zhang , Yumeng Fu , Jiaxing Huang , Jun Liu

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…

人工智能 · 计算机科学 2026-02-11 Shixian Luo , Zezhou Zhu , Yu Yuan , Yuncheng Yang , Lianlei Shan , Yong Wu

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…

人工智能 · 计算机科学 2025-11-03 Yuhao Zhang , Dingxin Hu , Tinghao Yu , Hao Liu , Yiting 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…

人工智能 · 计算机科学 2025-10-28 Nannan Shi , Chuanyu Qin , Shipeng Song , Man Luo

Geometric problem solving, as a typical multimodal reasoning problem, has attracted much attention and made great progress recently, however most of works focus on plane geometry while usually fail in solid geometry due to 3D spatial…

计算机视觉与模式识别 · 计算机科学 2026-05-29 Ruoran Xu , Haoyu Cheng , Bin Dong , Qiufeng 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…

计算机视觉与模式识别 · 计算机科学 2023-12-20 Mehran Kazemi , Hamidreza Alvari , Ankit Anand , Jialin Wu , Xi Chen , Radu Soricut

Multimodal large language models (MLLMs) have exhibited remarkable performance in various visual tasks, yet still struggle with spatial reasoning. Recent efforts mitigate this by injecting geometric features from 3D foundation models, but…

计算机视觉与模式识别 · 计算机科学 2026-04-15 Zhaochen Liu , Limeng Qiao , Guanglu Wan , Tingting Jiang

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.…

计算机视觉与模式识别 · 计算机科学 2024-12-17 Shihao Xu , Yiyang Luo , Wei Shi

Discrete motion tokenization has recently enabled Large Language Models (LLMs) to serve as versatile backbones for motion understanding and motion-language reasoning. However, existing pipelines typically decouple motion quantization from…

计算机视觉与模式识别 · 计算机科学 2026-03-20 Zhankai Ye , Bofan Li , Yukai Jin , Shuoqiu Li , Wei Wang , Yanfu Zhang , Shangqian Gao , Xin 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…

人工智能 · 计算机科学 2025-08-06 Jingxuan Wei , Caijun Jia , Qi Chen , Honghao He , Linzhuang Sun , Conghui He , Lijun Wu , Bihui Yu , Cheng Tan

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…

Geometric ability is a significant challenge for large language models (LLMs) due to the need for advanced spatial comprehension and abstract thinking. Existing datasets primarily evaluate LLMs on their final answers, but they cannot truly…

计算与语言 · 计算机科学 2025-02-24 Xiaofeng Wang , Yiming Wang , Wenhong Zhu , Rui Wang

Geometry problem solving has attracted much attention in the NLP community recently. The task is challenging as it requires abstract problem understanding and symbolic reasoning with axiomatic knowledge. However, current datasets are either…

计算与语言 · 计算机科学 2021-07-22 Pan Lu , Ran Gong , Shibiao Jiang , Liang Qiu , Siyuan Huang , Xiaodan Liang , Song-Chun Zhu

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…

计算与语言 · 计算机科学 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

Geometry is a fundamental branch of mathematics and plays a crucial role in evaluating the reasoning capabilities of multimodal large language models (MLLMs). However, existing multimodal mathematics benchmarks mainly focus on plane…

计算几何 · 计算机科学 2025-06-10 Peijie Wang , Chao Yang , Zhong-Zhi Li , Fei Yin , Dekang Ran , Mi Tian , Zhilong Ji , Jinfeng Bai , Cheng-Lin Liu

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…

计算机视觉与模式识别 · 计算机科学 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…

人工智能 · 计算机科学 2026-02-19 Thinh Hung Truong , Jey Han Lau , Jianzhong Qi
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