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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

Semantic segmentation was seen as a challenging computer vision problem few years ago. Due to recent advancements in deep learning, relatively accurate solutions are now possible for its use in automated driving. In this paper, the semantic…

Machine Learning · Statistics 2017-08-04 Mennatullah Siam , Sara Elkerdawy , Martin Jagersand , Senthil Yogamani

Discrete motion tokenization has recently enabled Large Language Models (LLMs) to serve as versatile backbones for motion understanding and motion-language reasoning. However, existing pipelines typically decouple motion quantization from…

Computer Vision and Pattern Recognition · Computer Science 2026-03-20 Zhankai Ye , Bofan Li , Yukai Jin , Shuoqiu Li , Wei Wang , Yanfu Zhang , Shangqian Gao , Xin Liu

Topology reasoning is crucial for autonomous driving as it enables comprehensive understanding of connectivity and relationships between lanes and traffic elements. While recent approaches have shown success in perceiving driving topology…

Computer Vision and Pattern Recognition · Computer Science 2025-02-07 Junjie Ye , David Paz , Hengyuan Zhang , Yuliang Guo , Xinyu Huang , Henrik I. Christensen , Yue Wang , Liu Ren

The rapid rise in popularity of Large Language Models (LLMs) with emerging capabilities has spurred public curiosity to evaluate and compare different LLMs, leading many researchers to propose their own LLM benchmarks. Noticing preliminary…

Artificial Intelligence · Computer Science 2025-05-15 Timothy R. McIntosh , Teo Susnjak , Nalin Arachchilage , Tong Liu , Paul Watters , Malka N. Halgamuge

While large language models have become the prevailing approach for agentic reasoning and planning, their success in symbolic domains does not readily translate to the physical world. Spatial intelligence, the ability to perceive 3D…

Machine Learning · Computer Science 2026-02-03 Gloria Felicia , Nolan Bryant , Handi Putra , Ayaan Gazali , Eliel Lobo , Esteban Rojas

Plane Geometry Problem Solving (PGPS) is a multimodal reasoning task that aims to solve a plane geometric problem based on a geometric diagram and problem textual descriptions. Although Large Language Models (LLMs) possess strong reasoning…

Artificial Intelligence · Computer Science 2026-05-12 Jingyun Wang , Dian Li , Xiaohan Wang , Gang Liu , Jiahong Yan , Guoliang Kang

Artificial intelligence (AI) plays a crucial role in autonomous driving (AD) research, propelling its development towards intelligence and efficiency. Currently, the development of AD technology follows two main technical paths:…

Artificial Intelligence · Computer Science 2024-12-03 Yuxuan Zhu , Shiyi Wang , Wenqing Zhong , Nianchen Shen , Yunqi Li , Siqi Wang , Zhiheng Li , Cathy Wu , Zhengbing He , Li Li

Self-supervised pre-training based on next-token prediction has enabled large language models to capture the underlying structure of text, and has led to unprecedented performance on a large array of tasks when applied at scale. Similarly,…

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

Robots sense, move and act in the physical world. It is therefore natural that algorithmic problems in robotics and automation have a geometric component, often central to the problem. Below we review ten challenging problems at the…

Computational Geometry · Computer Science 2024-08-27 Mikkel Abrahamsen , Dan Halperin

The development of high-level autonomous driving (AD) is shifting from perception-centric limitations to a more fundamental bottleneck, namely, a deficit in robust and generalizable reasoning. Although current AD systems manage structured…

Artificial Intelligence · Computer Science 2026-03-13 Kejin Yu , Yuhan Sun , Taiqiang Wu , Ruixu Zhang , Zhiqiang Lin , Yuxin Meng , Junjie Wang , Yujiu Yang

Recent progress in spatial reasoning with Multimodal Large Language Models (MLLMs) increasingly leverages geometric priors from 3D encoders. However, most existing integration strategies remain passive: geometry is exposed as a global…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Haoyuan Li , Qihang Cao , Tao Tang , Kun Xiang , Zihan Guo , Jianhua Han , JiaWang Bian , Hang Xu , Xiaodan Liang

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

For intelligent robots to interact in meaningful ways with their environment, they must understand both the geometric and semantic properties of the scene surrounding them. The majority of research to date has addressed these mapping…

Robotics · Computer Science 2017-08-04 Niko Sünderhauf , Trung T. Pham , Yasir Latif , Michael Milford , Ian Reid

Given the remarkable performance of Large Language Models (LLMs), an important question arises: Can LLMs conduct human-like scientific research and discover new knowledge, and act as an AI scientist? Scientific discovery is an iterative…

Machine Learning · Computer Science 2025-02-24 Tingting Chen , Srinivas Anumasa , Beibei Lin , Vedant Shah , Anirudh Goyal , Dianbo Liu

After a somewhat rocky start, geometry and topology have established a foothold in machine learning. Message passing, either on graphs or higher-order complexes, is one of the main drivers of geometric deep learning, and paradigms that were…

Machine Learning · Computer Science 2026-05-11 Bastian Rieck

The rapid advancement of Large Language Models (LLMs) has introduced new possibilities and challenges in physics education, necessitating rigorous evaluation of their capabilities as both problem solvers and automated assessors. This paper…

Physics Education · Physics 2026-05-25 Jonah R. Donaldson , Aliya Navaz , Konstantinos Doran , Alysta Lim , Mario Campanelli

Accurate and comprehensive measurements of a range of sustainable development outcomes are fundamental inputs into both research and policy. We synthesize the growing literature that uses satellite imagery to understand these outcomes, with…

Computers and Society · Computer Science 2020-10-15 Marshall Burke , Anne Driscoll , David B. Lobell , Stefano Ermon

Reasoning, the ability to logically draw conclusions from existing knowledge, is a hallmark of human. Together with perception, they constitute the two major themes of artificial intelligence. While deep learning has pushed the limit of…

Artificial Intelligence · Computer Science 2024-10-18 Zhaocheng Zhu
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