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Related papers: Towards Geometry Problem Solving in the Large Mode…

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The advent of generative AI exemplified by large language models (LLMs) opens new ways to represent and compute geographic information and transcends the process of geographic knowledge production, driving geographic information systems…

Recognizing precise geometrical configurations of groups of objects is a key capability of human spatial cognition, yet little studied in the deep learning literature so far. In particular, a fundamental problem is how a machine can learn…

Machine Learning · Computer Science 2020-07-20 Laetitia Teodorescu , Katja Hofmann , Pierre-Yves Oudeyer

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

Artificial Intelligence significantly enhances the visual art industry by analyzing, identifying and generating digitized artistic images. This review highlights the substantial benefits of integrating geometric data into AI models,…

Artificial Intelligence · Computer Science 2024-12-03 Mridula Vijendran , Jingjing Deng , Shuang Chen , Edmond S. L. Ho , Hubert P. H. Shum

Mathematical reasoning is essential for problem-solving in education, science, and industry, serving as a crucial benchmark for evaluating artificial intelligence systems. As Large Language Models (LLMs) improve their reasoning…

Computation and Language · Computer Science 2026-05-20 Husnain Amjad , Raja Khurram Shahzad , Aamir Shahzad , Mehwish Fatima

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

With the rapid advancement of large language models, there has been a growing interest in their capabilities in mathematical reasoning. However, existing research has primarily focused on text-based algebra problems, neglecting the study of…

Machine Learning · Computer Science 2024-09-17 Zihan Huang , Tao Wu , Wang Lin , Shengyu Zhang , Jingyuan Chen , Fei Wu

Artificial intelligence is beginning to reduce the manual effort in the CAD-to-mesh pipeline. Written for meshing and geometry practitioners with limited AI background, this survey organizes recent work by workflow step. We cover part…

Computational Engineering, Finance, and Science · Computer Science 2026-02-03 Steven Owen , Nathan Brown , Nikos Chrisochoides , Rao Garimella , Xianfeng Gu , Franck Ledoux , Na Lei , Roshan Quadros , Navamita Ray , Nicolas Winovich , Yongjie Jessica Zhang

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

Large Language Models (LLMs), such as ChatGPT, demonstrate a strong understanding of human natural language and have been explored and applied in various fields, including reasoning, creative writing, code generation, translation, and…

Artificial Intelligence · Computer Science 2023-05-30 Zhenlong Li , Huan Ning

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

Large Language Models (LLMs) have achieved remarkable performance across a wide range of mathematical benchmarks. However, concerns remain as to whether these successes reflect genuine reasoning or superficial pattern recognition. Existing…

Artificial Intelligence · Computer Science 2026-04-21 Yujie Hou , Mei Wang , Yaoyao Zhong , Ting Zhang , Xuetao Ma , Hua Huang

Deep Neural Networks achieve state-of-the-art results in many different problem settings by exploiting vast amounts of training data. However, collecting, storing and - in the case of supervised learning - labelling the data is expensive…

Computer Vision and Pattern Recognition · Computer Science 2023-03-06 Matthias Rath , Alexandru Paul Condurache

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

Humans possess spatial reasoning abilities that enable them to understand spaces through multimodal observations, such as vision and sound. Large multimodal reasoning models extend these abilities by learning to perceive and reason, showing…

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

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

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

Mathematical reasoning has long represented one of the most fundamental and challenging frontiers in artificial intelligence research. In recent years, large language models (LLMs) have achieved significant advances in this area. This…

Artificial Intelligence · Computer Science 2025-06-11 Peng-Yuan Wang , Tian-Shuo Liu , Chenyang Wang , Yi-Di Wang , Shu Yan , Cheng-Xing Jia , Xu-Hui Liu , Xin-Wei Chen , Jia-Cheng Xu , Ziniu Li , Yang Yu

While Multimodal Large Language Models (MLLMs) have achieved impressive performance on semantic tasks, their spatial intelligence--crucial for robust and grounded AI systems--remains underdeveloped. Existing benchmarks fall short of…

Computer Vision and Pattern Recognition · Computer Science 2025-12-30 Mingrui Wu , Zhaozhi Wang , Fangjinhua Wang , Jiaolong Yang , Marc Pollefeys , Tong Zhang