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Geometric problem solving (GPS) requires precise multimodal understanding and rigorous, step-by-step logical reasoning. However, developing capable Multimodal Large Language Models (MLLMs) for GPS is heavily bottlenecked by the scarcity of…

To reduce development overhead and enable seamless integration between potential components comprising any given generative AI application, the Model Context Protocol (MCP) (Anthropic, 2024) has recently been released and subsequently…

Cryptography and Security · Computer Science 2025-04-14 Brandon Radosevich , John Halloran

Large Language Models (LLMs) have demonstrated substantial progress in task automation and natural language understanding. However, without domain expertise in geographic information science (GIS), they continue to encounter limitations…

Software Engineering · Computer Science 2025-12-04 Qianqian Luo , Qingming Lin , Liuchang Xu , Sensen Wu , Ruichen Mao , Chao Wang , Hailin Feng , Bo Huang , Zhenhong Du

The Model Context Protocol (MCP) is emerging as a standard interface through which large language model (LLM) agents discover and invoke external tools. However, existing MCP evaluations fall short along three key axes: realistic multi-step…

Reliable spatial analysis in GIScience requires preserving coordinate semantics, topology, units, and geographic plausibility. Current LLM-based GIS systems generate fluent scripts but rarely enforce these geographic rules at scale. We…

Software Engineering · Computer Science 2026-05-04 Yinhao Xiao , Rongbo Xiao , Yihan Zhang

To complete assignments provided by humans in natural language, robots must interpret commands, generate and answer relevant questions for scene understanding, and manipulate target objects. Real-world deployments often require multiple…

Robotics · Computer Science 2026-02-06 Xiaopan Zhang , Zejin Wang , Zhixu Li , Jianpeng Yao , Jiachen Li

Geometric ability is a significant challenge for large language models (LLMs) due to the need for advanced spatial comprehension and abstract thinking. Existing datasets primarily evaluate LLMs on their final answers, but they cannot truly…

Computation and Language · Computer Science 2025-02-24 Xiaofeng Wang , Yiming Wang , Wenhong Zhu , Rui Wang

Recent advancements in Large Language Models (LLMs) and the introduction of the Model Context Protocol (MCP) have significantly expanded LLM agents' capability to interact dynamically with external tools and APIs. However, existing tool…

Computation and Language · Computer Science 2025-05-13 Elias Lumer , Anmol Gulati , Vamse Kumar Subbiah , Pradeep Honaganahalli Basavaraju , James A. Burke

The Model Context Protocol (MCP) is an open and standardized interface that enables large language models (LLMs) to interact with external tools and services, and is increasingly adopted by AI agents. However, the security of MCP-based…

Cryptography and Security · Computer Science 2026-03-10 Yuhang Huang , Boyang Ma , Biwei Yan , Xuelong Dai , Yechao Zhang , Minghui Xu , Kaidi Xu , Yue Zhang

Large language models (LLMs) often exhibit a puzzling disconnect between their asserted confidence and actual problem-solving competence. We offer a mechanistic account of this decoupling by analyzing the geometry of internal states across…

Computation and Language · Computer Science 2025-10-30 Debdeep Sanyal , Manya Pandey , Dhruv Kumar , Saurabh Deshpande , Murari Mandal

Forecasting systems in science must be accurate, physically consistent, and certifiably reliable. Most existing models address prediction, constraint enforcement, and verification separately, limiting scalability and interpretability. We…

Machine Learning · Computer Science 2026-04-28 Regina Zhang , Zongru Li , Honggang Wen , Xiaofeng Liu , Siu-Ming Yiu , Pietro Liò , Kwok-Yan Lam

The rapid adoption of foundation models has significantly expanded the capabilities of software systems, enabling them to perform complex language, reasoning, and interaction tasks that were previously difficult to automate. However, this…

Software Engineering · Computer Science 2026-03-09 Mina Taraghi , Mohammad Mehdi Morovati , Foutse Khomh

Large Language Models (LLMs) are transforming geospatial artificial intelligence (GeoAI), offering new capabilities in data processing, spatial analysis, and decision support. This paper examines the open-source paradigm's critical role in…

Computers and Society · Computer Science 2025-07-08 Xiao Huang , Zhengzhong Tu , Xinyue Ye , Michael Goodchild

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

Convex programming plays a fundamental role in machine learning, data science, and engineering. Testing convexity structure in nonlinear programs relies on verifying the convexity of objectives and constraints. Grant et al. (2006)…

Optimization and Control · Mathematics 2025-08-20 Andrew Cheng , Vaibhav Dixit , Melanie Weber

Human-AI collaboration faces growing challenges as AI systems increasingly outperform humans on complex tasks, while humans remain responsible for orchestration, validation, and decision oversight. To address this imbalance, we introduce…

Human-Computer Interaction · Computer Science 2026-02-16 Yuanrong Tang , Huiling Peng , Bingxi Zhao , Hengyang Ding , Hanchao Song , Tianhong Wang , Chen Zhong , Jiangtao Gong

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

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

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

Multi-modal Large Language Models (MLLMs) have gained significant attention in both academia and industry for their capabilities in handling multi-modal tasks. However, these models face challenges in mathematical geometric reasoning due to…

Artificial Intelligence · Computer Science 2025-11-03 Yuhao Zhang , Dingxin Hu , Tinghao Yu , Hao Liu , Yiting Liu