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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

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

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), 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

Large language models have shown impressive results for multi-hop mathematical reasoning when the input question is only textual. Many mathematical reasoning problems, however, contain both text and image. With the ever-increasing adoption…

Computer Vision and Pattern Recognition · Computer Science 2023-12-20 Mehran Kazemi , Hamidreza Alvari , Ankit Anand , Jialin Wu , Xi Chen , Radu Soricut

This paper introduces GeoChain, a large-scale benchmark for evaluating step-by-step geographic reasoning in multimodal large language models (MLLMs). Leveraging 1.46 million Mapillary street-level images, GeoChain pairs each image with a…

Artificial Intelligence · Computer Science 2025-09-10 Sahiti Yerramilli , Nilay Pande , Rynaa Grover , Jayant Sravan Tamarapalli

Recent advancements in large language models (LLMs) and multi-modal models (MMs) have demonstrated their remarkable capabilities in problem-solving. Yet, their proficiency in tackling geometry math problems, which necessitates an integrated…

Artificial Intelligence · Computer Science 2024-05-20 Jiaxin Zhang , Zhongzhi Li , Mingliang Zhang , Fei Yin , Chenglin Liu , Yashar Moshfeghi

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 shown remarkable proficiency in human-level reasoning and generation capabilities, which encourages extensive research on their application in mathematical problem solving. However, current work has been…

Computation and Language · Computer Science 2025-08-21 Jiahui Gao , Renjie Pi , Jipeng Zhang , Jiacheng Ye , Wanjun Zhong , Yufei Wang , Lanqing Hong , Jianhua Han , Hang Xu , Zhenguo Li , Lingpeng Kong

Geometry problem solving (GPS) poses significant challenges for Multimodal Large Language Models (MLLMs) in diagram comprehension, knowledge application, long-step reasoning, and auxiliary line construction. However, current benchmarks lack…

Artificial Intelligence · Computer Science 2026-05-15 Yumeng Fu , Jiayin Zhu , Lingling Zhang , Wenjun Wu , Bo Zhao , Shaoxuan Ma , Yushun Zhang , Jun Liu

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

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

The performance of large language models (LLMs) on existing reasoning benchmarks has significantly improved over the past years. In response, we present JEEBench, a considerably more challenging benchmark dataset for evaluating the problem…

Computation and Language · Computer Science 2023-10-24 Daman Arora , Himanshu Gaurav Singh , Mausam

Large Multimodal Models (LMMs) often struggle with geometric reasoning due to visual hallucinations and a lack of mathematically precise Chain-of-Thought (CoT) data. To address this, we propose the GeoSym Engine, an automated and scalable…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Jinhao Jing , Zheng Ma , Jinwei Liang , Qiannian Zhao , Shawn Chen , Jing Yang , Por Lip Yee , Prayag Tiwari , Jingjing Bai , Benyou Wang , Lewei Lu , Zhan Su

Recent advances in large language models (LLMs) have fueled growing interest in automating geospatial analysis and GIS workflows, yet their actual capabilities remain uncertain. In this work, we call for rigorous evaluation of LLMs on…

Software Engineering · Computer Science 2025-09-09 Qianheng Zhang , Song Gao , Chen Wei , Yibo Zhao , Ying Nie , Ziru Chen , Shijie Chen , Yu Su , Huan Sun

Large Language Models (LLMs) are increasingly deployed in applications that interact with the physical world, such as navigation, robotics, or mapping, making robust geospatial reasoning a critical capability. Despite that, LLMs' ability to…

Artificial Intelligence · Computer Science 2026-02-19 Thinh Hung Truong , Jey Han Lau , Jianzhong Qi

Vision Language Models (VLMs) are good at recognizing the global location of a photograph -- their geolocation prediction accuracy rivals the best human experts. But many VLMs are startlingly bad at \textit{explaining} which image evidence…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Mohit Talreja , Joshua Diao , Jim Thannikary James , Radu Casapu , Tejas Santanam , Ethan Mendes , Alan Ritter , Wei Xu , James Hays

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

We propose Knowledge Crosswords, a geometric knowledge reasoning benchmark consisting of incomplete knowledge networks bounded by structured factual constraints, where LLMs are tasked with inferring the missing facts to meet all…

Computation and Language · Computer Science 2024-06-26 Wenxuan Ding , Shangbin Feng , Yuhan Liu , Zhaoxuan Tan , Vidhisha Balachandran , Tianxing He , Yulia Tsvetkov
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