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Multimodal Large Language Models (MLLMs) struggle with complex geometric reasoning, largely because "black box" outcome-based supervision fails to distinguish between lucky guesses and rigorous deduction. To address this, we introduce a…

Machine Learning · Computer Science 2026-01-09 Jianlong Chen , Daocheng Fu , Shengze Xu , Jiawei Chen , Yuan Feng , Yue Yang , Junchi Yan , Hongyuan Zha , Renqiu Xia

Geographic reasoning is a fundamental cognitive capability that requires models to infer plausible locations by synthesizing visual evidence with spatial world knowledge. Despite recent advances in large vision-language models (LVLMs),…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Pengyue Jia , Yingyi Zhang , Xiangyu Zhao , Sharon Li

Multimodal Large Language Models (MLLMs) show reasoning promise, yet their visual perception is a critical bottleneck. Strikingly, MLLMs can produce correct answers even while misinterpreting crucial visual elements, masking these…

Computer Vision and Pattern Recognition · Computer Science 2025-12-11 Aditya Kanade , Tanuja Ganu

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

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

Benchmarking spatial reasoning in multimodal large language models (MLLMs) has attracted growing interest in computer vision due to its importance for embodied AI and other agentic systems that require precise interaction with the physical…

Computer Vision and Pattern Recognition · Computer Science 2026-02-19 Zelin Xu , Yupu Zhang , Saugat Adhikari , Saiful Islam , Tingsong Xiao , Zibo Liu , Shigang Chen , Da Yan , Zhe Jiang

Multi-modal Large Language Models (MLLMs) exhibit impressive problem-solving abilities in various domains, but their visual comprehension and abstract reasoning skills remain under-evaluated. To this end, we present PolyMATH, a challenging…

Artificial Intelligence · Computer Science 2026-05-12 Himanshu Gupta , Shreyas Verma , Ujjwala Anantheswaran , Kevin Scaria , Mihir Parmar , Swaroop Mishra , Chitta Baral

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

Exceptional mathematical reasoning ability is one of the key features that demonstrate the power of large language models (LLMs). How to comprehensively define and evaluate the mathematical abilities of LLMs, and even reflect the user…

Computation and Language · Computer Science 2024-10-10 Zihao Zhou , Shudong Liu , Maizhen Ning , Wei Liu , Jindong Wang , Derek F. Wong , Xiaowei Huang , Qiufeng Wang , Kaizhu Huang

The evolution of Remote Sensing Vision-Language Models(RS-VLMs) emphasizes the importance of transitioning from perception-centric recognition toward high-level deductive reasoning to enhance cognitive reliability in complex spatial tasks.…

Computer Vision and Pattern Recognition · Computer Science 2026-01-09 Wenshuai Li , Xiantai Xiang , Zixiao Wen , Guangyao Zhou , Ben Niu , Feng Wang , Lijia Huang , Qiantong Wang , Yuxin Hu

Large language models (LLMs) excel at solving problems with clear and complete statements, but often struggle with nuanced environments or interactive tasks which are common in most real-world scenarios. This highlights the critical need…

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

This paper investigates the mathematical reasoning capabilities of large language models (LLMs) using 50 newly constructed high-school-level word problems. Unlike prior studies that focus solely on answer correctness, we rigorously analyze…

Artificial Intelligence · Computer Science 2025-02-24 Johan Boye , Birger Moell

Multimodal large language models (MLLMs) have achieved remarkable progress on vision-language tasks, yet their reasoning processes remain sometimes unreliable. We introduce PRISM-Bench, a benchmark of puzzle-based visual challenges designed…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Yusu Qian , Cheng Wan , Chao Jia , Yinfei Yang , Qingyu Zhao , Zhe Gan

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) demonstrate impressive capabilities in mathematical reasoning. However, despite these achievements, current evaluations are mostly limited to specific mathematical topics, and it remains unclear whether LLMs are…

Computation and Language · Computer Science 2025-04-01 Arash Gholami Davoodi , Seyed Pouyan Mousavi Davoudi , Pouya Pezeshkpour

Large Multimodal Models (LMMs) are increasingly applied to scientific research, yet it remains unclear whether they can reliably understand and reason over the multimodal complexity of papers. A central challenge lies in detecting and…

Computer Vision and Pattern Recognition · Computer Science 2026-02-17 Lukas Selch , Yufang Hou , M. Jehanzeb Mirza , Sivan Doveh , James Glass , Rogerio Feris , Wei Lin

Image geolocalization, the task of identifying the geographic location depicted in an image, is important for applications in crisis response, digital forensics, and location-based intelligence. While recent advances in large language…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Lingyao Li , Runlong Yu , Qikai Hu , Bowei Li , Min Deng , Yang Zhou , Xiaowei Jia

While logical reasoning evaluation of Large Language Models (LLMs) has attracted significant attention, existing benchmarks predominantly rely on multiple-choice formats that are vulnerable to random guessing, leading to overestimated…

Computation and Language · Computer Science 2025-02-25 Qin Zhu , Fei Huang , Runyu Peng , Keming Lu , Bowen Yu , Qinyuan Cheng , Xipeng Qiu , Xuanjing Huang , Junyang Lin

Robotic path planning problems are often NP-hard, and practical solutions typically rely on approximation algorithms with provable performance guarantees for general cases. While designing such algorithms is challenging, formally proving…

Robotics · Computer Science 2026-03-23 Zhengbang Yang , Md. Tasin Tazwar , Minghan Wei , Zhuangdi Zhu