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Related papers: UniGeo: Unifying Geometry Logical Reasoning via Re…

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Geometry problems are a crucial testbed for AI reasoning capabilities. Most existing geometry solving systems cannot express problems within a unified framework, thus are difficult to integrate with other mathematical fields. Besides, since…

Artificial Intelligence · Computer Science 2025-08-21 Chendong Song , Zihan Wang , Frederick Pu , Haiming Wang , Xiaohan Lin , Junqi Liu , Jia Li , Zhengying Liu

We propose GeoUni, the first unified geometry expert model capable of generating problem solutions and diagrams within a single framework in a way that enables the creation of unique and individualized geometry problems. Traditionally,…

Machine Learning · Computer Science 2025-05-09 Jo-Ku Cheng , Zeren Zhang , Ran Chen , Jingyang Deng , Ziran Qin , Jinwen Ma

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…

Computational Geometry · Computer Science 2025-06-10 Peijie Wang , Chao Yang , Zhong-Zhi Li , Fei Yin , Dekang Ran , Mi Tian , Zhilong Ji , Jinfeng Bai , Cheng-Lin Liu

The scaling of Large Language Models (LLMs) is increasingly limited by data quality. Most methods handle data mixing and sample selection separately, which can break the structure in code corpora. We introduce \textbf{UniGeM}, a framework…

Machine Learning · Computer Science 2026-02-04 Changhao Wang , Yunfei Yu , Xinhao Yao , Jiaolong Yang , Riccardo Cantoro , Chaobo Li , Qing Cui , Jun Zhou

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…

Computation and Language · Computer Science 2026-03-23 Yushun Zhang , Weiping Fu , Zesheng Yang , Bo Zhao , Lingling Zhang , Jian Zhang , Yumeng Fu , Jiaxing Huang , Jun Liu

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 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

Unified multimodal models often struggle with complex synthesis tasks that demand deep reasoning, and typically treat text-to-image generation and image editing as isolated capabilities rather than interconnected reasoning steps. To address…

Computer Vision and Pattern Recognition · Computer Science 2026-02-23 Dianyi Wang , Chaofan Ma , Feng Han , Size Wu , Wei Song , Yibin Wang , Zhixiong Zhang , Tianhang Wang , Siyuan Wang , Zhongyu Wei , Jiaqi Wang

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

Solid geometry problem solving demands spatial mathematical reasoning that integrates spatial intelligence and symbolic reasoning. However, most existing multimodal mathematical reasoning benchmarks focus primarily on 2D plane geometry,…

Artificial Intelligence · Computer Science 2025-11-12 Changti Wu , Shijie Lian , Zihao Liu , Lei Zhang , Laurence Tianruo Yang , Kai Chen

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…

Computer Vision and Pattern Recognition · Computer Science 2026-05-29 Ruoran Xu , Haoyu Cheng , Bin Dong , Qiufeng Wang

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

Despite the impressive progress on understanding and generating images shown by the recent unified architectures, the integration of 3D tasks remains challenging and largely unexplored. In this paper, we introduce UniUGG, the first unified…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Yueming Xu , Jiahui Zhang , Ze Huang , Yurui Chen , Yanpeng Zhou , Zhenyu Chen , Yu-Jie Yuan , Pengxiang Xia , Guowei Huang , Xinyue Cai , Zhongang Qi , Xingyue Quan , Jianye Hao , Hang Xu , Li Zhang

Recent advances in multi-modal generative models have driven substantial improvements in image editing. However, current generative models still struggle with handling diverse and complex image editing tasks that require implicit reasoning,…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Feng Han , Yibin Wang , Chenglin Li , Zheming Liang , Dianyi Wang , Yang Jiao , Zhipeng Wei , Chao Gong , Cheng Jin , Jingjing Chen , Jiaqi Wang

The growing adoption of robotics and augmented reality in real-world applications has driven considerable research interest in 3D object detection based on point clouds. While previous methods address unified training across multiple…

Computer Vision and Pattern Recognition · Computer Science 2026-02-02 Xing Yi , Jinyang Huang , Feng-Qi Cui , Anyang Tong , Ruimin Wang , Liu Liu , Dan Guo

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

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

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…

Artificial Intelligence · Computer Science 2025-08-06 Jingxuan Wei , Caijun Jia , Qi Chen , Honghao He , Linzhuang Sun , Conghui He , Lijun Wu , Bihui Yu , Cheng Tan

Camera-controllable image editing aims to synthesize novel views of a given scene under varying camera poses while strictly preserving cross-view geometric consistency. However, existing methods typically rely on fragmented geometric…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Hong Jiang , Wensong Song , Zongxing Yang , Ruijie Quan , Yi Yang

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
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