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UMAP is a non-parametric graph-based dimensionality reduction algorithm using applied Riemannian geometry and algebraic topology to find low-dimensional embeddings of structured data. The UMAP algorithm consists of two steps: (1) Compute a…

Machine Learning · Computer Science 2021-08-31 Tim Sainburg , Leland McInnes , Timothy Q Gentner

Hierarchical, multi-resolution volumetric mapping approaches are widely used to represent large and complex environments as they can efficiently capture their occupancy and connectivity information. Yet widely used path planning methods…

Robotics · Computer Science 2026-02-25 Victor Reijgwart , Cesar Cadena , Roland Siegwart , Lionel Ott

Recent years brought advancements in using neural networks for representation learning of various language or visual phenomena. New methods freed data scientists from hand-crafting features for common tasks. Similarly, problems that require…

Machine Learning · Computer Science 2023-04-28 Kacper Leśniara , Piotr Szymański

Visual navigation ability is strongly tied to its underlying representation of the world. Unlike classical 3D maps that require globally-consistent geometry, image- or object-relative topological graphs almost entirely do away with…

Scene graph representations enable structured visual understanding by modeling objects and their relationships, and have been widely used for multiview and 3D scene reasoning. Existing methods such as MSG learn scene graph embeddings in…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Liyang Wang , Zeyu Zhang , Hao Tang

Autonomous driving car is becoming more of a reality, as a key component,high-definition(HD) maps shows its value in both market place and industry. Even though HD maps generation from LiDAR or stereo/perspective imagery has achieved…

Computer Vision and Pattern Recognition · Computer Science 2020-02-07 Andi Zang , Runsheng Xu , Zichen Li , David Doria

We consider the problem of embedding the nodes of a hypergraph into Euclidean space under the assumption that the interactions arose through closeness to unknown hyperedge centres. In this way, we tackle the inverse problem associated with…

Social and Information Networks · Computer Science 2025-09-11 Francesco Zigliotto , Desmond J. Higham

Online High-Definition (HD) maps have emerged as the preferred option for autonomous driving, overshadowing the counterpart offline HD maps due to flexible update capability and lower maintenance costs. However, contemporary online HD map…

Computer Vision and Pattern Recognition · Computer Science 2024-09-16 Siyu Li , Kailun Yang , Hao Shi , Song Wang , You Yao , Zhiyong Li

Autonomous vehicles rely on detailed and accurate environmental information to operate safely. High definition (HD) maps offer a promising solution, but their high maintenance cost poses a significant barrier to scalable deployment. This…

Computer Vision and Pattern Recognition · Computer Science 2025-10-22 Fabian Immel , Jan-Hendrik Pauls , Richard Fehler , Frank Bieder , Jonas Merkert , Christoph Stiller

Graph based representation is widely used in visual tracking field by finding correct correspondences between target parts in consecutive frames. However, most graph based trackers consider pairwise geometric relations between local parts.…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Dawei Du , Honggang Qi , Longyin Wen , Qi Tian , Qingming Huang , Siwei Lyu

For many important network types (e.g., sensor networks in complex harsh environments and social networks) physical coordinate systems (e.g., Cartesian), and physical distances (e.g., Euclidean), are either difficult to discern or…

Social and Information Networks · Computer Science 2023-12-05 Anura P. Jayasumana , Randy Paffenroth , Gunjan Mahindre , Sridhar Ramasamy , Kelum Gajamannage

Textured high-fidelity 3D models are crucial for games, AR/VR, and film, but human-aligned evaluation methods still fall behind despite recent advances in 3D reconstruction and generation. Existing metrics, such as Chamfer Distance, often…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Tianyu Luan , Xuelu Feng , Zixin Zhu , Phani Nuney , Sheng Liu , Xuan Gong , David Doermann , Chunming Qiao , Junsong Yuan

The enduring legacy of Euclidean geometry underpins classical machine learning, which, for decades, has been primarily developed for data lying in Euclidean space. Yet, modern machine learning increasingly encounters richly structured data…

Visual relation detection methods rely on object information extracted from RGB images such as 2D bounding boxes, feature maps, and predicted class probabilities. We argue that depth maps can additionally provide valuable information on…

Computer Vision and Pattern Recognition · Computer Science 2020-10-20 Sahand Sharifzadeh , Sina Moayed Baharlou , Max Berrendorf , Rajat Koner , Volker Tresp

Learning faithful graph representations as sets of vertex embeddings has become a fundamental intermediary step in a wide range of machine learning applications. The quality of the embeddings is usually determined by how well the geometry…

Machine Learning · Computer Science 2021-05-13 Federico López , Beatrice Pozzetti , Steve Trettel , Anna Wienhard

Recent advances in autonomous driving systems have shifted towards reducing reliance on high-definition maps (HDMaps) due to the huge costs of annotation and maintenance. Instead, researchers are focusing on online vectorized HDMap…

Computer Vision and Pattern Recognition · Computer Science 2024-11-25 Sen Yang , Minyue Jiang , Ziwei Fan , Xiaolu Xie , Xiao Tan , Yingying Li , Errui Ding , Liang Wang , Jingdong Wang

Accurately and globally mapping human infrastructure is an important and challenging task with applications in routing, regulation compliance monitoring, and natural disaster response management etc.. In this paper we present progress in…

Computer Vision and Pattern Recognition · Computer Science 2020-05-21 Rui Zhang , Conrad Albrecht , Wei Zhang , Xiaodong Cui , Ulrich Finkler , David Kung , Siyuan Lu

We describe a purely image-based method for finding geometric constructions with a ruler and compass in the Euclidea geometric game. The method is based on adapting the Mask R-CNN state-of-the-art image processing neural architecture and…

Computer Vision and Pattern Recognition · Computer Science 2021-06-29 J. Macke , J. Sedlar , M. Olsak , J. Urban , J. Sivic

Although end-to-end autonomous driving (E2E-AD) technologies have made significant progress in recent years, there remains an unsatisfactory performance on closed-loop evaluation. The potential of leveraging planning in query design and…

Robotics · Computer Science 2025-03-12 Yingqi Tang , Zhuoran Xu , Zhaotie Meng , Erkang Cheng

A semantic map of the road scene, covering fundamental road elements, is an essential ingredient in autonomous driving systems. It provides important perception foundations for positioning and planning when rendered in the Bird's-Eye-View…

Computer Vision and Pattern Recognition · Computer Science 2023-09-07 Siyu Li , Kailun Yang , Hao Shi , Jiaming Zhang , Jiacheng Lin , Zhifeng Teng , Zhiyong Li