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Simultaneous Localisation and Mapping (SLAM) is one of the fundamental problems in autonomous mobile robots where a robot needs to reconstruct a previously unseen environment while simultaneously localising itself with respect to the map.…

Robotics · Computer Science 2022-09-13 Tin Lai

Object search in large-scale, unstructured environments remains a fundamental challenge in robotics, particularly in dynamic or expansive settings such as outdoor autonomous exploration. This task requires robust spatial reasoning and the…

Robotics · Computer Science 2025-05-29 Lanxiang Zheng , Ruidong Mei , Mingxin Wei , Hao Ren , Hui Cheng

Humans possess a remarkable capacity to recognize and manipulate abstract structure, which is especially apparent in the domain of geometry. Recent research in cognitive science suggests neural networks do not share this capacity,…

Artificial Intelligence · Computer Science 2024-02-07 Declan Campbell , Sreejan Kumar , Tyler Giallanza , Thomas L. Griffiths , Jonathan D. Cohen

Mathematical thinking is a fundamental aspect of human cognition. Cognitive scientists have investigated the mechanisms that underlie our ability to thinking geometrically and numerically, to take two prominent examples, and developmental…

Computer Vision and Pattern Recognition · Computer Science 2025-11-20 Zekun Wang , Sashank Varma

Geometric Deep Learning techniques have become a transformative force in the field of Computer-Aided Design (CAD), and have the potential to revolutionize how designers and engineers approach and enhance the design process. By harnessing…

Computational Geometry · Computer Science 2025-07-08 Negar Heidari , Alexandros Iosifidis

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

While Multimodal Large Language Models (MLLMs) excel in semantic tasks, they frequently lack the "spatial sense" essential for sophisticated geometric reasoning. Current models typically suffer from exorbitant modality-alignment costs and…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Yi Zhang , Youya Xia , Yong Wang , Meng Song , Xin Wu , Wenjun Wan , Bingbing Liu , AiXue Ye , Hongbo Zhang , Feng Wen

Advances in experimental neuroscience have transformed our ability to explore the structure and function of neural circuits. At the same time, advances in machine learning have unleashed the remarkable computational power of artificial…

Neurons and Cognition · Quantitative Biology 2021-11-23 SueYeon Chung , L. F. Abbott

We introduce \textbf{GAUSS} (\textbf{G}eneral \textbf{A}ssessment of \textbf{U}nderlying \textbf{S}tructured \textbf{S}kills in Mathematics), a benchmark that evaluates LLMs' mathematical abilities across twelve core skill dimensions,…

Artificial Intelligence · Computer Science 2025-10-08 Yue Zhang , Jiaxin Zhang , Qiuyu Ren , Tahsin Saffat , Xiaoxuan Liu , Zitong Yang , Banghua Zhu , Yi Ma

Recent advancements in large language models (LLMs) have revitalized philosophical debates surrounding artificial intelligence. Two of the most fundamental challenges - namely, the Frame Problem and the Symbol Grounding Problem - have…

Artificial Intelligence · Computer Science 2025-06-10 Shoko Oka

The advent of foundation models has revolutionized the fields of natural language processing and computer vision, paving the way for their application in autonomous driving (AD). This survey presents a comprehensive review of more than 40…

Machine Learning · Computer Science 2024-09-06 Haoxiang Gao , Zhongruo Wang , Yaqian Li , Kaiwen Long , Ming Yang , Yiqing Shen

Big models have achieved revolutionary breakthroughs in the field of AI, but they might also pose potential concerns. Addressing such concerns, alignment technologies were introduced to make these models conform to human preferences and…

Artificial Intelligence · Computer Science 2024-03-08 Xinpeng Wang , Shitong Duan , Xiaoyuan Yi , Jing Yao , Shanlin Zhou , Zhihua Wei , Peng Zhang , Dongkuan Xu , Maosong Sun , Xing Xie

Algorithm design is crucial for effective problem-solving across various domains. The advent of Large Language Models (LLMs) has notably enhanced the automation and innovation within this field, offering new perspectives and promising…

Machine Learning · Computer Science 2026-01-06 Fei Liu , Yiming Yao , Ping Guo , Zhiyuan Yang , Zhe Zhao , Xi Lin , Xialiang Tong , Kun Mao , Zhichao Lu , Zhenkun Wang , Mingxuan Yuan , Qingfu Zhang

Establishing dense correspondence across 3D shapes is crucial for fundamental downstream tasks, including texture transfer, shape interpolation, and robotic manipulation. However, learning these mappings without manual supervision remains a…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Qinfeng Xiao , Guofeng Mei , Qilong Liu , Chenyuan Yi , Fabio Poiesi , Jian Zhang , Bo Yang , Yick Kit-lun

Multi-modal Large Language Models (MLLMs) have advanced greatly in general tasks. However, they still face challenges in geometric reasoning, a task that requires synergistic integration of visual recognition proficiency and complex…

Computer Vision and Pattern Recognition · Computer Science 2026-02-10 Zhihao Li , Yao Du , Yang Liu , Yan Zhang , Yufang Liu , Mengdi Zhang , Xunliang Cai , Charles Ling , Boyu Wang

The advent of Unified Multimodal Models (UMMs) signals a paradigm shift in artificial intelligence, moving from passive perception to active, cross-modal generation. Despite their unprecedented ability to synthesize information, a critical…

Artificial Intelligence · Computer Science 2026-01-15 Jingxuan Wei , Caijun Jia , Xi Bai , Xinglong Xu , Siyuan Li , Linzhuang Sun , Bihui Yu , Conghui He , Lijun Wu , Cheng Tan

Geographic Information Systems (GIS) are widely used in different domains of applications, such as maritime navigation, museums visits and route planning, as well as ecological, demographical and economical applications. Nowadays,…

Information Retrieval · Computer Science 2012-08-14 Saida Aissi , Mohamed Salah Gouider

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

Generating high-quality geometry problems is both an important and challenging task in education. Compared to math word problems, geometry problems further emphasize multi-modal formats and the translation between informal and formal…

Artificial Intelligence · Computer Science 2025-06-04 Zhuoxuan Jiang , Tianyang Zhang , Peiyan Peng , Jing Chen , Yinong Xun , Haotian Zhang , Lichi Li , Yong Li , Shaohua Zhang

To endow machines with the ability to perceive the real-world in a three dimensional representation as we do as humans is a fundamental and long-standing topic in Artificial Intelligence. Given different types of visual inputs such as…

Computer Vision and Pattern Recognition · Computer Science 2020-10-20 Bo Yang
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