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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

The advancement of large language models (LLMs) for real-world applications hinges critically on enhancing their reasoning capabilities. In this work, we explore the reasoning abilities of large language models (LLMs) through their…

Artificial Intelligence · Computer Science 2024-07-04 Romain Cosentino , Sarath Shekkizhar

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

The fusion of language and vision in large vision-language models (LVLMs) has revolutionized deep learning-based object detection by enhancing adaptability, contextual reasoning, and generalization beyond traditional architectures. This…

Computer Vision and Pattern Recognition · Computer Science 2025-10-01 Ranjan Sapkota , Manoj Karkee

Modern Vision-Language Models (VLMs) achieve strong semantic recognition, yet remain brittle on elementary spatial relations such as left of, on, behind, and between. One cause of this failure arises before language reasoning begins: the…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Renjie Gu , Kaichen Zhou , Yan Luo , Mengyu Wang

Large language models (LLMs) have demonstrated strong reasoning capabilities in text-based mathematical problem solving; however, when adapted to visual reasoning tasks, particularly geometric problem solving, their performance…

Artificial Intelligence · Computer Science 2025-10-28 Nannan Shi , Chuanyu Qin , Shipeng Song , Man Luo

Modern vision-language models (VLMs) develop patch embedding and convolution backbone within vector space, especially Euclidean ones, at the very founding. When expanding VLMs to a galaxy scale for understanding astronomical phenomena, the…

Machine Learning · Computer Science 2025-05-27 Tianyu Chen , Xingcheng Fu , Yisen Gao , Haodong Qian , Yuecen Wei , Kun Yan , Haoyi Zhou , Jianxin Li

Multimodal large language models (MLLMs) have made rapid progress in recent years, yet continue to struggle with low-level visual perception (LLVP) -- particularly the ability to accurately describe the geometric details of an image. This…

Computer Vision and Pattern Recognition · Computer Science 2024-12-13 Jiarui Zhang , Ollie Liu , Tianyu Yu , Jinyi Hu , Willie Neiswanger

Geometric problem solving constitutes a critical branch of mathematical reasoning, requiring precise analysis of shapes and spatial relationships. Current evaluations of geometric reasoning in vision-language models (VLMs) face limitations,…

Computer Vision and Pattern Recognition · Computer Science 2026-01-01 Yuan Feng , Yue Yang , Xiaohan He , Jiatong Zhao , Jianlong Chen , Zijun Chen , Daocheng Fu , Qi Liu , Renqiu Xia , Bo Zhang , Junchi Yan

Large Vision-Language Models (LVLMs) consistently require new arenas to guide their expanding boundaries, yet their capabilities with hypergraphs remain unexplored. In the real world, hypergraphs have significant practical applications in…

Computation and Language · Computer Science 2026-04-20 Yanbin Wei , Chun Kang , Siwei Li , Haoxuan Che , Yang Chen , Hua Liu , Jian Liu , Zhuang Liu , Can Ouyang , Fei Xing , Lei Sha , Rui Liu , Yu Zhang , James Kwok

Vision-Language Models (VLMs) still lack robustness in spatial intelligence, demonstrating poor performance on spatial understanding and reasoning tasks. We attribute this gap to the absence of a visual geometry learning process capable of…

Computer Vision and Pattern Recognition · Computer Science 2025-12-01 Wenbo Hu , Jingli Lin , Yilin Long , Yunlong Ran , Lihan Jiang , Yifan Wang , Chenming Zhu , Runsen Xu , Tai Wang , Jiangmiao Pang

This research focuses on assessing the ability of large language models (LLMs) in representing geometries and their spatial relations. We utilize LLMs including GPT-2 and BERT to encode the well-known text (WKT) format of geometries and…

Computation and Language · Computer Science 2023-07-10 Yuhan Ji , Song Gao

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

Achieving deep alignment between vision and language remains a central challenge for Multimodal Large Language Models (MLLMs). These models often fail to fully leverage visual input, defaulting to strong language priors. Our approach first…

Computer Vision and Pattern Recognition · Computer Science 2025-07-03 Aarti Ghatkesar , Ganesh Venkatesh

This work investigates the fundamental fragility of state-of-the-art Vision-Language Models (VLMs) under basic geometric transformations. While modern VLMs excel at semantic tasks such as recognizing objects in canonical orientations and…

Computer Vision and Pattern Recognition · Computer Science 2026-04-06 Jason Qiu , Zachary Meurer , Xavier Thomas , Deepti Ghadiyaram

Open-set perception in complex traffic environments poses a critical challenge for autonomous driving systems, particularly in identifying previously unseen object categories, which is vital for ensuring safety. Visual Language Models…

Computer Vision and Pattern Recognition · Computer Science 2025-08-13 Fuhao Chang , Shuxin Li , Yabei Li , Lei He

Vision-language models (VLM) excel at general understanding yet remain weak at dynamic spatial reasoning (DSR), i.e., reasoning about the evolvement of object geometry and relationship in 3D space over time, largely due to the scarcity of…

Computer Vision and Pattern Recognition · Computer Science 2025-12-24 Shengchao Zhou , Yuxin Chen , Yuying Ge , Wei Huang , Jiehong Lin , Ying Shan , Xiaojuan Qi

While numerous recent benchmarks focus on evaluating generic Vision-Language Models (VLMs), they do not effectively address the specific challenges of geospatial applications. Generic VLM benchmarks are not designed to handle the…

Computer Vision and Pattern Recognition · Computer Science 2025-03-14 Muhammad Sohail Danish , Muhammad Akhtar Munir , Syed Roshaan Ali Shah , Kartik Kuckreja , Fahad Shahbaz Khan , Paolo Fraccaro , Alexandre Lacoste , Salman Khan

Empowered by large-scale training, vision-language models (VLMs) achieve strong image and video understanding, yet their ability to perform spatial reasoning in both static scenes and dynamic videos remains limited. Recent advances try to…

Computer Vision and Pattern Recognition · Computer Science 2026-03-30 Shihua Zhang , Qiuhong Shen , Shizun Wang , Tianbo Pan , Xinchao Wang

Large Vision Language Models (LVLMs) excel in various vision-language tasks. Yet, their robustness to visual variations in position, scale, orientation, and context that objects in natural scenes inevitably exhibit due to changes in…

Computer Vision and Pattern Recognition · Computer Science 2025-06-03 Zhiyuan Fan , Yumeng Wang , Sandeep Polisetty , Yi R. Fung