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Geometry problem solving, a crucial aspect of mathematical reasoning, is vital across various domains, including education, the assessment of AI's mathematical abilities, and multimodal capability evaluation. The recent surge in deep…

Computation and Language · Computer Science 2025-08-25 Jianzhe Ma , Wenxuan Wang , Qin Jin

Automatic math problem solving has recently attracted increasing attention as a long-standing AI benchmark. In this paper, we focus on solving geometric problems, which requires a comprehensive understanding of textual descriptions, visual…

Artificial Intelligence · Computer Science 2022-01-12 Jiaqi Chen , Jianheng Tang , Jinghui Qin , Xiaodan Liang , Lingbo Liu , Eric P. Xing , Liang Lin

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

Advancing towards artificial superintelligence requires rich and intelligent perceptual capabilities. A critical frontier in this pursuit is overcoming the limited spatial understanding of Multimodal Large Language Models (MLLMs), where…

Computer Vision and Pattern Recognition · Computer Science 2026-03-12 Ruiheng Liu , Haihong Hao , Mingfei Han , Xin Gu , Kecheng Zhang , Changlin Li , Xiaojun Chang

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

Remote sensing imagery presents vast, inherently unstructured spatial data, necessitating sophisticated reasoning to interpret complex user intents and contextual relationships beyond simple recognition tasks. In this paper, we aim to…

Computer Vision and Pattern Recognition · Computer Science 2025-12-24 Liang Yao , Fan Liu , Hongbo Lu , Chuanyi Zhang , Rui Min , Shengxiang Xu , Shimin Di , Pai Peng

Geometry problem solving is a well-recognized testbed for evaluating the high-level multi-modal reasoning capability of deep models. In most existing works, two main geometry problems: calculation and proving, are usually treated as two…

Artificial Intelligence · Computer Science 2022-12-07 Jiaqi Chen , Tong Li , Jinghui Qin , Pan Lu , Liang Lin , Chongyu Chen , Xiaodan Liang

Spatio-temporal reasoning in vision-language models requires visual representations that preserve physical geometry rather than merely semantic appearance. Recent multimodal models incorporate geometric information through structural…

Computer Vision and Pattern Recognition · Computer Science 2026-05-22 Deshui Miao , Xingsen Huang , Yameng Gu , Xin Li , Haijun Zhang , Ming-Hsuan Yang

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

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 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

Geolocation, the task of identifying an image's location, requires complex reasoning and is crucial for navigation, monitoring, and cultural preservation. However, current methods often produce coarse, imprecise, and non-interpretable…

Computer Vision and Pattern Recognition · Computer Science 2026-01-07 Zirui Song , Jingpu Yang , Yuan Huang , Jonathan Tonglet , Zeyu Zhang , Tao Cheng , Meng Fang , Iryna Gurevych , Xiuying Chen

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

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

Reasoning, the ability to logically draw conclusions from existing knowledge, is a hallmark of human. Together with perception, they constitute the two major themes of artificial intelligence. While deep learning has pushed the limit of…

Artificial Intelligence · Computer Science 2024-10-18 Zhaocheng Zhu

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

Geospatial reasoning requires solving image-grounded problems over the complex spatial structure of a scene. However, developing this capability is hindered by the cost of annotating a vast and combinatorial question space. We propose GeoX,…

Artificial Intelligence · Computer Science 2026-05-20 Kyeongjin Ahn , Seungeon Lee , Krishna P. Gummadi , Meeyoung Cha

Geometric problem solving (GPS) requires precise multimodal understanding and rigorous, step-by-step logical reasoning. However, developing capable Multimodal Large Language Models (MLLMs) for GPS is heavily bottlenecked by the scarcity of…

This work tackles the problem of geo-localization with a new paradigm using a large vision-language model (LVLM) augmented with human inference knowledge. A primary challenge here is the scarcity of data for training the LVLM - existing…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Ling Li , Yu Ye , Yao Zhou , Bingchuan Jiang , Wei Zeng

Recent advancements in reinforcement learning (RL) have enhanced the reasoning abilities of large language models (LLMs), yet the impact on multimodal LLMs (MLLMs) is limited. Particularly in vision-intensive tasks like geometric reasoning,…

Computation and Language · Computer Science 2025-09-23 Guizhen Chen , Weiwen Xu , Hao Zhang , Hou Pong Chan , Deli Zhao , Anh Tuan Luu , Yu Rong