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Multi-modal Large Language Models (MLLMs) have advanced greatly in general tasks. However, they still face challenges in geometric reasoning, a task that requires synergistic integration of visual recognition proficiency and complex…

Computer Vision and Pattern Recognition · Computer Science 2026-02-10 Zhihao Li , Yao Du , Yang Liu , Yan Zhang , Yufang Liu , Mengdi Zhang , Xunliang Cai , Charles Ling , Boyu Wang

Spatial reasoning is a fundamental capability for embodied intelligence, especially for fine-grained manipulation tasks such as robotic assembly. While recent vision-language models (VLMs) exhibit preliminary spatial awareness, they largely…

Robotics · Computer Science 2026-04-13 Zhi Jing , Jinbin Qiao , Ouyang Lu , Jicong Ao , Shuang Qiu , Yu-Gang Jiang , Chenjia Bai

Multimodal reasoning, which integrates language and visual cues into problem solving and decision making, is a fundamental aspect of human intelligence and a crucial step toward artificial general intelligence. However, the evaluation of…

Despite recent advances in multimodal reasoning, representing auxiliary geometric constructions remains a fundamental challenge for multimodal large language models (MLLMs). Such constructions are absent from the original diagram and must…

Computer Vision and Pattern Recognition · Computer Science 2026-03-13 Haiying Xu , Zihan Wang , Song Dai , Zhengxuan Zhang , Kairan Dou , Xuming Hu

Spatial reasoning is a key capability in the field of artificial intelligence, especially crucial in areas such as robotics, computer vision, and natural language understanding. However, evaluating the ability of multimodal large language…

Artificial Intelligence · Computer Science 2025-11-25 Rui Xu , Dakuan Lu , Zicheng Zhao , Xiaoyu Tan , Xintao Wang , Siyu Yuan , Jiangjie Chen , Yinghui Xu

Spatial intelligence is essential for multimodal large language models (MLLMs) operating in the complex physical world. Existing benchmarks, however, probe only single-image relations and thus fail to assess the multi-image spatial…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Sihan Yang , Runsen Xu , Yiman Xie , Sizhe Yang , Mo Li , Jingli Lin , Chenming Zhu , Xiaochen Chen , Haodong Duan , Xiangyu Yue , Dahua Lin , Tai Wang , Jiangmiao Pang

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

Spatial reasoning has emerged as a critical capability for Multimodal Large Language Models (MLLMs), drawing increasing attention and rapid advancement. However, existing benchmarks primarily focus on single-step perception-to-judgment…

Computer Vision and Pattern Recognition · Computer Science 2026-01-15 Rui Zhu , Xin Shen , Shuchen Wu , Chenxi Miao , Xin Yu , Yang Li , Weikang Li , Deguo Xia , Jizhou Huang

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

Large Multimodal Models have achieved remarkable progress in integrating vision and language, enabling strong performance across perception, reasoning, and domain-specific tasks. However, their capacity to reason over multiple, visually…

Artificial Intelligence · Computer Science 2026-03-09 Can Li , Ying Liu , Ting Zhang , Mei Wang , Hua Huang

Multimodal Large Language Models (MLLMs) have achieved remarkable progress in visual recognition and semantic understanding. Nevertheless, their ability to perform precise compositional spatial reasoning remains largely unexplored. Existing…

Computer Vision and Pattern Recognition · Computer Science 2026-01-26 Daixian Liu , Jiayi Kuang , Yinghui Li , Yangning Li , Di Yin , Haoyu Cao , Xing Sun , Ying Shen , Hai-Tao Zheng , Liang Lin , Philip S. Yu

Large Language Models (LLMs) have demonstrated strong performance across various natural language processing tasks, yet their proficiency in mathematical reasoning remains a key challenge. Addressing the gap between natural and mathematical…

Artificial Intelligence · Computer Science 2025-02-18 Xuhan Huang , Qingning Shen , Yan Hu , Anningzhe Gao , Benyou Wang

As large language models (LLMs) are applied to increasingly longer and more complex tasks, there is a growing need for realistic long-context benchmarks that require selective reading and integration of heterogeneous, multi-modal…

Computation and Language · Computer Science 2026-02-06 Aadi Palnitkar , Mingyang Mao , Nicholas Waytowich , Vinicius G. Goecks , Xiaomin Lin

AI models have achieved state-of-the-art results in textual reasoning; however, their ability to reason over spatial and relational structures remains a critical bottleneck -- particularly in early-grade maths, which relies heavily on…

Recent advancements in Multimodal Large Language Models (MLLMs) have significantly enhanced performance on 2D visual tasks. However, improving their spatial intelligence remains a challenge. Existing 3D MLLMs always rely on additional 3D or…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Diankun Wu , Fangfu Liu , Yi-Hsin Hung , Yueqi Duan

As the field of Multimodal Large Language Models (MLLMs) continues to evolve, their potential to revolutionize artificial intelligence is particularly promising, especially in addressing mathematical reasoning tasks. Current mathematical…

Large language models (LLMs) and vision-language models (VLMs) have demonstrated remarkable performance across a wide range of tasks and domains. Despite this promise, spatial understanding and reasoning -- a fundamental component of human…

Computer Vision and Pattern Recognition · Computer Science 2024-11-06 Jiayu Wang , Yifei Ming , Zhenmei Shi , Vibhav Vineet , Xin Wang , Yixuan Li , Neel Joshi

While Multimodal Large Language Models (MLLMs) excel in semantic tasks, they frequently lack the "spatial sense" essential for sophisticated geometric reasoning. Current models typically suffer from exorbitant modality-alignment costs and…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Yi Zhang , Youya Xia , Yong Wang , Meng Song , Xin Wu , Wenjun Wan , Bingbing Liu , AiXue Ye , Hongbo Zhang , Feng Wen

Large Language Models (LLMs) demonstrate ever-increasing abilities in mathematical and algorithmic tasks, yet their geometric reasoning skills are underexplored. We investigate LLMs' abilities in constructive geometric problem-solving one…

Computation and Language · Computer Science 2024-09-23 Spyridon Mouselinos , Henryk Michalewski , Mateusz Malinowski

Vision-Language Models (VLMs) have been increasingly applied in real-world scenarios due to their outstanding understanding and reasoning capabilities. Although VLMs have already demonstrated impressive capabilities in common visual…

Computer Vision and Pattern Recognition · Computer Science 2026-02-25 Yuechen Xie , Xiaoyan Zhang , Yicheng Shan , Hao Zhu , Rui Tang , Rong Wei , Mingli Song , Yuanyu Wan , Jie Song