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Many scientific problems require to process data in the form of geometric graphs. Unlike generic graph data, geometric graphs exhibit symmetries of translations, rotations, and/or reflections. Researchers have leveraged such inductive bias…

Machine Learning · Computer Science 2022-02-23 Jiaqi Han , Yu Rong , Tingyang Xu , Wenbing Huang

Problem-solving has been a fundamental driver of human progress in numerous domains. With advancements in artificial intelligence, Large Language Models (LLMs) have emerged as powerful tools capable of tackling complex problems across…

Machine Learning · Computer Science 2025-05-07 Da Zheng , Lun Du , Junwei Su , Yuchen Tian , Yuqi Zhu , Jintian Zhang , Lanning Wei , Ningyu Zhang , Huajun Chen

Some extremely low-dimensional yet crucial geometric eigen-lengths often determine the success of some geometric tasks. For example, the height of an object is important to measure to check if it can fit between the shelves of a cabinet,…

Computer Vision and Pattern Recognition · Computer Science 2023-12-27 Yijia Weng , Kaichun Mo , Ruoxi Shi , Yanchao Yang , Leonidas J. Guibas

The geometry automated theorem proving area distinguishes itself by a large number of specific methods and implementations, different approaches (synthetic, algebraic, semi-synthetic) and different goals and applications (from research in…

Artificial Intelligence · Computer Science 2020-03-02 Nuno Baeta , Pedro Quaresma , Zoltán Kovács

Protein engineering is experiencing a paradigmatic shift through the integration of geometric deep learning into computational design workflows. While traditional strategies, such as rational design and directed evolution, have enabled…

Current Artificial Intelligence (AI) methods, most based on deep learning, have facilitated progress in several fields, including computer vision and natural language understanding. The progress of these AI methods is measured using…

Artificial Intelligence · Computer Science 2021-01-19 Stefan Maetschke , David Martinez Iraola , Pieter Barnard , Elaheh ShafieiBavani , Peter Zhong , Ying Xu , Antonio Jimeno Yepes

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

Despite the significant advancements in natural language processing capabilities demonstrated by large language models such as ChatGPT, their proficiency in comprehending and processing spatial information, especially within the domains of…

Computation and Language · Computer Science 2023-12-07 He Yan , Xinyao Hu , Xiangpeng Wan , Chengyu Huang , Kai Zou , Shiqi Xu

Large language models have seen widespread adoption in math problem-solving. However, in geometry problems that usually require visual aids for better understanding, even the most advanced multi-modal models currently still face challenges…

Computer Vision and Pattern Recognition · Computer Science 2024-06-18 Shihao Cai , Keqin Bao , Hangyu Guo , Jizhi Zhang , Jun Song , Bo Zheng

This paper explores the spatial reasoning capability of large language models (LLMs) over textual input through a suite of five tasks aimed at probing their spatial understanding and computational abilities. The models were tested on both…

Computation and Language · Computer Science 2025-10-24 Maggie Bai , Ava Kim Cohen , Eleanor Koss , Charlie Lichtenbaum

3D segmentation is a fundamental and challenging problem in computer vision with applications in autonomous driving and robotics. It has received significant attention from the computer vision, graphics and machine learning communities.…

Computer Vision and Pattern Recognition · Computer Science 2024-09-18 Yong He , Hongshan Yu , Xiaoyan Liu , Zhengeng Yang , Wei Sun , Saeed Anwar , Ajmal Mian

Answer set programming (ASP) aims to realize the AI vision: The user specifies the problem, and the computer solves it. Indeed, ASP has made this vision true in many application domains. However, will current ASP solving techniques scale up…

Artificial Intelligence · Computer Science 2026-01-08 Veronika Semmelrock , Gerhard Friedrich

By virtue of its great utility in solving real-world problems, optimization modeling has been widely employed for optimal decision-making across various sectors, but it requires substantial expertise from operations research professionals.…

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

Deep learning based localization and mapping has recently attracted significant attention. Instead of creating hand-designed algorithms through exploitation of physical models or geometric theories, deep learning based solutions provide an…

Computer Vision and Pattern Recognition · Computer Science 2020-07-01 Changhao Chen , Bing Wang , Chris Xiaoxuan Lu , Niki Trigoni , Andrew Markham

Reasoning, a crucial ability for complex problem-solving, plays a pivotal role in various real-world settings such as negotiation, medical diagnosis, and criminal investigation. It serves as a fundamental methodology in the field of…

Automated algorithm design is entering a new phase: Large Language Models can now generate full optimisation (meta)heuristics, explore vast design spaces and adapt through iterative feedback. Yet this rapid progress is largely…

Artificial Intelligence · Computer Science 2025-11-21 Niki van Stein , Anna V. Kononova , Thomas Bäck

Artificial intelligence for scientific discovery has recently generated significant interest within the machine learning and scientific communities, particularly in the domains of chemistry, biology, and material discovery. For these…

Multi-step reasoning remains a central challenge for large language models: single-pass generation is efficient but lacks accuracy; tree-search methods explore multiple paths but are computation-heavy. We address this gap by distilling…

Artificial Intelligence · Computer Science 2026-05-29 Yuyu Liu , Haotian Xu , Yanan He , Sarang Rajendra Patil , Mengjia Xu , Tengfei Ma

We introduce GeoBuildBench, a benchmark designed to evaluate whether large language models and multimodal agents can ground informal natural-language plane geometry problems into executable geometric constructions. Unlike existing geometry…

Computation and Language · Computer Science 2026-05-14 Jinwoong Kim , Rui Yang , Huishuai Zhang