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Geometry problem solving (GPS) requires capacities of multi-modal understanding, multi-hop reasoning and theorem knowledge application. In this paper, we propose a neural-symbolic model for plane geometry problem solving (PGPS), named…

Artificial Intelligence · Computer Science 2024-07-11 Ming-Liang Zhang , Zhong-Zhi Li , Fei Yin , Liang Lin , Cheng-Lin Liu

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…

Computation and Language · Computer Science 2021-07-22 Pan Lu , Ran Gong , Shibiao Jiang , Liang Qiu , Siyuan Huang , Xiaodan Liang , Song-Chun Zhu

Geometry diagram parsing plays a key role in geometry problem solving, wherein the primitive extraction and relation parsing remain challenging due to the complex layout and between-primitive relationship. In this paper, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2022-05-20 Ming-Liang Zhang , Fei Yin , Yi-Han Hao , Cheng-Lin Liu

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

Geometry problem solving presents distinctive challenges in artificial intelligence, requiring exceptional multimodal comprehension and rigorous mathematical reasoning capabilities. Existing approaches typically fall into two categories:…

Artificial Intelligence · Computer Science 2026-02-16 Bowen Ping , Minnan Luo , Zhuohang Dang , Chenxi Wang , Chengyou Jia

Mathematical reasoning remains an ongoing challenge for AI models, especially for geometry problems that require both linguistic and visual signals. As the vision encoders of most MLLMs are trained on natural scenes, they often struggle to…

Computer Vision and Pattern Recognition · Computer Science 2024-09-10 Zeren Zhang , Jo-Ku Cheng , Jingyang Deng , Lu Tian , Jinwen Ma , Ziran Qin , Xiaokai Zhang , Na Zhu , Tuo Leng

Geometry problem solving (GPS) is a challenging mathematical reasoning task requiring multi-modal understanding, fusion, and reasoning. Existing neural solvers take GPS as a vision-language task but are short in the representation of…

Computer Vision and Pattern Recognition · Computer Science 2024-02-21 Zhong-Zhi Li , Ming-Liang Zhang , Fei Yin , Cheng-Lin Liu

Geometry Problem Solving (GPS), which is a classic and challenging math problem, has attracted much attention in recent years. It requires a solver to comprehensively understand both text and diagram, master essential geometry knowledge,…

Artificial Intelligence · Computer Science 2024-05-13 Tong Xiao , Jiayu Liu , Zhenya Huang , Jinze Wu , Jing Sha , Shijin Wang , Enhong Chen

Geometry problem solving has garnered increasing attention due to its potential applications in intelligent education field. Inspired by the observation that text often introduces ambiguities that diagrams can clarify, this paper presents…

Computer Vision and Pattern Recognition · Computer Science 2025-03-10 Junbo Zhao , Ting Zhang , Jiayu Sun , Mi Tian , Hua Huang

Addressing the challenge of automated geometry math problem-solving in artificial intelligence (AI) involves understanding multi-modal information and mathematics. Current methods struggle with accurately interpreting geometry diagrams,…

Artificial Intelligence · Computer Science 2024-05-02 Jiaxin Zhang , Yashar Moshfeghi

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

Geometric problem solving has always been a long-standing challenge in the fields of mathematical reasoning and artificial intelligence. We built a neural-symbolic system, called FGeo-HyperGNet, to automatically perform human-like geometric…

Artificial Intelligence · Computer Science 2025-08-01 Xiaokai Zhang , Yang Li , Na Zhu , Cheng Qin , Zhenbing Zeng , Tuo Leng

Geometric graphs are a special kind of graph with geometric features, which are vital to model many scientific problems. Unlike generic graphs, geometric graphs often exhibit physical symmetries of translations, rotations, and reflections,…

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

Geometry problem solving (GPS) represents a critical frontier in artificial intelligence, with profound applications in education, computer-aided design, and computational graphics. Despite its significance, automating GPS remains…

Computer Vision and Pattern Recognition · Computer Science 2025-06-04 Yurui Zhao , Xiang Wang , Jiahong Liu , Irwin King , Zhitao Huang

Plane geometry problem solving (PGPS) has recently gained significant attention as a benchmark to assess the multi-modal reasoning capabilities of large vision-language models. Despite the growing interest in PGPS, the research community…

Computer Vision and Pattern Recognition · Computer Science 2025-05-21 Seunghyuk Cho , Zhenyue Qin , Yang Liu , Youngbin Choi , Seungbeom Lee , Dongwoo Kim

Diagram parsing is an important foundation for geometry problem solving, attracting increasing attention in the field of intelligent education and document image understanding. Due to the complex layout and between-primitive relationship,…

Computer Vision and Pattern Recognition · Computer Science 2022-05-23 Yihan Hao , Mingliang Zhang , Fei Yin , Linlin Huang

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 presents a formidable challenge within the NLP community. Existing approaches often rely on models designed for solving math word problems, neglecting the unique characteristics of geometry math problems.…

Artificial Intelligence · Computer Science 2024-01-30 Jiaxin Zhang , Yinghui Jiang , Yashar Moshfeghi

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
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