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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) 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 (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 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

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

Multimodal large language models (MLLMs) have achieved significant progress in image and language tasks due to the strong reasoning capability of large language models (LLMs). Nevertheless, most MLLMs suffer from limited spatial reasoning…

Computer Vision and Pattern Recognition · Computer Science 2025-11-24 Jiajie Guo , Qingpeng Zhu , Jin Zeng , Xiaolong Wu , Changyong He , Weida Wang

Geometry problem solving (GPS) is a high-level mathematical reasoning requiring the capacities of multi-modal fusion and geometric knowledge application. Recently, neural solvers have shown great potential in GPS but still be short in…

Artificial Intelligence · Computer Science 2023-05-01 Ming-Liang Zhang , Fei Yin , Cheng-Lin Liu

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

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), 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 demands advanced reasoning abilities to process multimodal inputs and employ mathematical knowledge effectively. Vision-language models (VLMs) have made significant progress in various multimodal tasks. Yet, they…

Computation and Language · Computer Science 2024-10-18 Aditya Sharma , Aman Dalmia , Mehran Kazemi , Amal Zouaq , Christopher J. Pal

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

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

This survey presents a comprehensive analysis of the phenomenon of hallucination in multimodal large language models (MLLMs), also known as Large Vision-Language Models (LVLMs), which have demonstrated significant advancements and…

Computer Vision and Pattern Recognition · Computer Science 2025-04-03 Zechen Bai , Pichao Wang , Tianjun Xiao , Tong He , Zongbo Han , Zheng Zhang , Mike Zheng Shou

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

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 ability to accurately interpret complex visual information is a crucial topic of multimodal large language models (MLLMs). Recent work indicates that enhanced visual perception significantly reduces hallucinations and improves…

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

Vision-Language Models (VLMs) increasingly power high-stakes applications, from medical imaging to autonomous systems, yet they routinely hallucinate, confidently describing content not present in the input. We investigate the root causes…

Computer Vision and Pattern Recognition · Computer Science 2026-05-18 Harshvardhan Saini , Samyak Jha , Yiming Tang , Dianbo Liu

Vision-language models (VLMs) have advanced rapidly, but their ability to capture spatial relationships remains a blindspot. Current VLMs are typically built with contrastive language-image pretraining (CLIP) style image encoders. The…

Computer Vision and Pattern Recognition · Computer Science 2026-01-26 Nahid Alam , Leema Krishna Murali , Siddhant Bharadwaj , Patrick Liu , Timothy Chung , Drishti Sharma , Akshata A , Kranthi Kiran , Wesley Tam , Bala Krishna S Vegesna
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