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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

Humans have the ability to reason about geometric patterns in images and scenes from a young age. However, developing large multimodal models (LMMs) capable of similar reasoning remains a challenge, highlighting the need for robust…

Artificial Intelligence · Computer Science 2025-04-15 Sina Rismanchian , Yasaman Razeghi , Sameer Singh , Shayan Doroudi

We present NoReGeo, a novel benchmark designed to evaluate the intrinsic geometric understanding of large language models (LLMs) without relying on reasoning or algebraic computation. Unlike existing benchmarks that primarily assess models'…

This paper explores the spatial reasoning capability of large language models (LLMs) over textual input through a suite of five tasks aimed at probing their spatial understanding and computational abilities. The models were tested on both…

Computation and Language · Computer Science 2025-10-24 Maggie Bai , Ava Kim Cohen , Eleanor Koss , Charlie Lichtenbaum

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

Large language models (LLMs) have demonstrated their remarkable performance across various language understanding tasks. While emerging benchmarks have been proposed to evaluate LLMs in various domains such as mathematics and computer…

Artificial Intelligence · Computer Science 2024-10-28 Junnan Dong , Zijin Hong , Yuanchen Bei , Feiran Huang , Xinrun Wang , Xiao Huang

Geometry problem solving (GPS) represents a critical frontier in artificial intelligence, with profound applications in education, computer-aided design, and computational graphics. Despite its significance, automating GPS remains…

Computer Vision and Pattern Recognition · Computer Science 2025-06-04 Yurui Zhao , Xiang Wang , Jiahong Liu , Irwin King , Zhitao Huang

The ability to understand and reason about spatial relationships between objects in images is an important component of visual reasoning. This skill rests on the ability to recognize and localize objects of interest and determine their…

Computation and Language · Computer Science 2024-10-14 Navid Rajabi , Jana Kosecka

Maps are powerful carriers of structured and contextual knowledge, encompassing geography, demographics, infrastructure, and environmental patterns. Reasoning over such knowledge requires models to integrate spatial relationships, visual…

Computer Vision and Pattern Recognition · Computer Science 2026-02-12 Sharat Bhat , Harshita Khandelwal , Tushar Kataria , Vivek Gupta

Multimodal large language models (MLLMs) have exhibited remarkable performance in various visual tasks, yet still struggle with spatial reasoning. Recent efforts mitigate this by injecting geometric features from 3D foundation models, but…

Computer Vision and Pattern Recognition · Computer Science 2026-04-15 Zhaochen Liu , Limeng Qiao , Guanglu Wan , Tingting Jiang

Reasoning ability has become a central focus in the advancement of Large Reasoning Models (LRMs). Although notable progress has been achieved on several reasoning benchmarks such as MATH500 and LiveCodeBench, existing benchmarks for…

Artificial Intelligence · Computer Science 2026-01-12 Henan Sun , Kaichi Yu , Yuyao Wang , Bowen Liu , Xunkai Li , Rong-Hua Li , Nuo Chen , Jia Li

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

Large language models (LLMs) have shown strong performance on mathematical reasoning under well-defined conditions. However, real-world engineering problems involve uncertainty, context, and open-ended settings that extend beyond symbolic…

Artificial Intelligence · Computer Science 2026-05-05 Xiyuan Zhou , Xinlei Wang , Yirui He , Yang Wu , Ruixi Zou , Yuheng Cheng , Yulu Xie , Wenxuan Liu , Huan Zhao , Yan Xu , Jinjin Gu , Junhua Zhao

Multimodal large language models (MLLMs) have made significant progress in integrating visual and linguistic understanding. Existing benchmarks typically focus on high-level semantic capabilities, such as scene understanding and visual…

Computation and Language · Computer Science 2025-02-18 Shangyu Xing , Changhao Xiang , Yuteng Han , Yifan Yue , Zhen Wu , Xinyu Liu , Zhangtai Wu , Fei Zhao , Xinyu Dai

Large Language Models (LLMs) are increasingly being used to automate programming tasks. Yet, LLMs' capabilities in reasoning about program semantics are still inadequately studied, leaving significant potential for further exploration. This…

Programming Languages · Computer Science 2025-05-30 Thanh Le-Cong , Bach Le , Toby Murray

As LLMs advance their reasoning capabilities about the physical world, the absence of rigorous benchmarks for evaluating their ability to generate scientifically valid physical models has become a critical gap. Computational mechanics,…

Machine Learning · Computer Science 2025-12-25 Saeed Mohammadzadeh , Erfan Hamdi , Joel Shor , Emma Lejeune

Structure reasoning is a fundamental capability of large language models (LLMs), enabling them to reason about structured commonsense and answer multi-hop questions. However, existing benchmarks for structure reasoning mainly focus on…

Computation and Language · Computer Science 2025-03-04 Zhuohang Jiang , Pangjing Wu , Ziran Liang , Peter Q. Chen , Xu Yuan , Ye Jia , Jiancheng Tu , Chen Li , Peter H. F. Ng , Qing Li

For human cognitive process, spatial reasoning and perception are closely entangled, yet the nature of this interplay remains underexplored in the evaluation of multimodal large language models (MLLMs). While recent MLLM advancements show…

Computation and Language · Computer Science 2025-08-28 Chengzu Li , Wenshan Wu , Huanyu Zhang , Qingtao Li , Zeyu Gao , Yan Xia , José Hernández-Orallo , Ivan Vulić , Furu Wei

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

Research in AI4Science has shown promise in many science applications, including polymer design. However, current LLMs are ineffective in this problem space because: (i) most models lack polymer-specific knowledge, and (ii) existing aligned…

Computation and Language · Computer Science 2026-05-28 Dikshya Mohanty , Mohammad Saqib Hasan , Syed Mostofa Monsur , Size Zheng , Benjamin Hsiao , Niranjan Balasubramanian