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Understanding the geometric and semantic structure of environments is essential for embodied navigation and reasoning. Existing semantic mapping methods trade off between explicit geometry and multi-scale semantics, and lack a native…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Sixian Zhang , Yiyao Wang , Xinhang Song , Keming Zhang , Zijian Xu , Shuqiang Jiang

Against the backdrop of enthusiasm for large language models (LLMs), there is a growing need to scientifically assess their capabilities and shortcomings. This is nontrivial in part because it is difficult to find tasks which the models…

Open-source multimodal large language models (MLLMs) excel in various tasks involving textual and visual inputs but still struggle with complex multimodal mathematical reasoning, lagging behind proprietary models like GPT-4V(ision) and…

Computation and Language · Computer Science 2024-04-29 Mengzhao Jia , Zhihan Zhang , Wenhao Yu , Fangkai Jiao , Meng Jiang

Geometry problem solving, a crucial aspect of mathematical reasoning, is vital across various domains, including education, the assessment of AI's mathematical abilities, and multimodal capability evaluation. The recent surge in deep…

Computation and Language · Computer Science 2025-08-25 Jianzhe Ma , Wenxuan Wang , Qin Jin

Multimodal Large Language Models (MLLMs) excel in solving text-based mathematical problems, but they struggle with mathematical diagrams since they are primarily trained on natural scene images. For humans, visual aids generally enhance…

Computation and Language · Computer Science 2024-09-26 Wenwen Zhuang , Xin Huang , Xiantao Zhang , Jin Zeng

Spatial reasoning is an essential problem in embodied AI research. Efforts to enhance spatial reasoning abilities through supplementary spatial data and fine-tuning have proven limited and ineffective when addressing complex embodied tasks,…

Despite significant progress in natural language understanding, Large Language Models (LLMs) remain error-prone when performing logical reasoning, often lacking the robust mental representations that enable human-like comprehension. We…

Artificial Intelligence · Computer Science 2025-09-05 François Olivier , Zied Bouraoui

Large Language Models (LLMs) have demonstrated strong generalization across a wide range of tasks. Reasoning with LLMs is central to solving multi-step problems and complex decision-making. To support efficient reasoning, recent studies…

Computation and Language · Computer Science 2025-09-03 Jindong Li , Yali Fu , Li Fan , Jiahong Liu , Yao Shu , Chengwei Qin , Menglin Yang , Irwin King , Rex Ying

Geometry Problem Solving (GPS), which is a classic and challenging math problem, has attracted much attention in recent years. It requires a solver to comprehensively understand both text and diagram, master essential geometry knowledge,…

Artificial Intelligence · Computer Science 2024-05-13 Tong Xiao , Jiayu Liu , Zhenya Huang , Jinze Wu , Jing Sha , Shijin Wang , Enhong Chen

Recent advances in Vision-Language Models (VLMs) have achieved impressive progress in multimodal mathematical reasoning. Yet, how much visual information truly contributes to reasoning remains unclear. Existing benchmarks report strong…

Computer Vision and Pattern Recognition · Computer Science 2025-12-01 Yuandong Wang , Yao Cui , Yuxin Zhao , Zhen Yang , Yangfu Zhu , Zhenzhou Shao

The math abilities of large language models can represent their abstract reasoning ability. In this paper, we introduce and open-source our math reasoning LLMs InternLM-Math which is continue pre-trained from InternLM2. We unify…

Large language models (LLMs) have demonstrated remarkable capabilities in problem-solving. However, their proficiency in solving mathematical problems remains inadequate. We propose MathScale, a simple and scalable method to create…

Computation and Language · Computer Science 2024-03-06 Zhengyang Tang , Xingxing Zhang , Benyou Wang , Furu Wei

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

Pre-trained language models (LMs) have shown remarkable reasoning performance using explanations or chain-of-thoughts (CoT)) for in-context learning. On the other hand, these reasoning tasks are usually presumed to be more approachable for…

Computation and Language · Computer Science 2024-03-29 Yi-Fan Zhang , Hanlin Zhang , Li Erran Li , Eric Xing

This paper presents GPSM4K, a comprehensive geometry multimodal dataset tailored to augment the problem-solving capabilities of Large Vision Language Models (LVLMs). GPSM4K encompasses 2157 multimodal question-answer pairs manually…

We present a lightweight yet effective pipeline for training vision-language models to solve math problems by rendering LaTeX encoded equations into images and pairing them with structured chain-of-thought prompts. This simple…

Machine Learning · Computer Science 2025-11-18 Matvey Skripkin , Elizaveta Goncharova , Andrey Kuznetsov

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

Spatial intelligence, which refers to the ability to reason about geometric and physical structure from visual observations, remains a core challenge for multimodal large language models. Despite promising performance, recent multimodal…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Yian Li , Yang Jiao , Bin Zhu , Tianwen Qian , Shaoxiang Chen , Jingjing Chen , Yu-Gang Jiang

Scale does not uniformly improve reasoning - it restructures it. Analyzing 25,000+ chain-of-thought trajectories across four domains (Law, Science, Code, Math) and two scales (8B, 70B parameters), we discover that neural scaling laws…

Artificial Intelligence · Computer Science 2026-04-01 Samuel Cyrenius Anderson

Puzzles have long served as compact and revealing probes of human cognition, isolating abstraction, rule discovery, and systematic reasoning with minimal reliance on prior knowledge. Leveraging these properties, visual puzzles have recently…

Computer Vision and Pattern Recognition · Computer Science 2026-01-21 Maria Lymperaiou , Vasileios Karampinis , Giorgos Filandrianos , Angelos Vlachos , Chrysoula Zerva , Athanasios Voulodimos