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Hyperbolic geometry is an effective geometry for embedding hierarchical data structures. Hyperbolic learning has therefore become increasingly prominent in machine learning applications where data is hierarchically organized or governed by…

Artificial Intelligence · Computer Science 2025-11-27 Melika Ayoughi , Pascal Mettes , Paul Groth

Hyperbolic deep learning has become a growing research direction in computer vision due to the unique properties afforded by the alternate embedding space. The negative curvature and exponentially growing distance metric provide a natural…

Computer Vision and Pattern Recognition · Computer Science 2026-02-10 Ahmad Bdeir , Johannes Burchert , Lars Schmidt-Thieme , Niels Landwehr

We present Neural-Swarm2, a learning-based method for motion planning and control that allows heterogeneous multirotors in a swarm to safely fly in close proximity. Such operation for drones is challenging due to complex aerodynamic…

Robotics · Computer Science 2021-07-19 Guanya Shi , Wolfgang Hönig , Xichen Shi , Yisong Yue , Soon-Jo Chung

Recently, there has been a surge of interest in representation learning in hyperbolic spaces, driven by their ability to represent hierarchical data with significantly fewer dimensions than standard Euclidean spaces. However, the viability…

Machine Learning · Computer Science 2022-11-02 Melanie Weber , Manzil Zaheer , Ankit Singh Rawat , Aditya Menon , Sanjiv Kumar

The socially-aware navigation system has evolved to adeptly avoid various obstacles while performing multiple tasks, such as point-to-point navigation, human-following, and -guiding. However, a prominent gap persists: in Human-Robot…

Robotics · Computer Science 2024-03-22 Weiqin Zu , Wenbin Song , Ruiqing Chen , Ze Guo , Fanglei Sun , Zheng Tian , Wei Pan , Jun Wang

This paper investigates the notion of learning user and item representations in non-Euclidean space. Specifically, we study the connection between metric learning in hyperbolic space and collaborative filtering by exploring Mobius…

Information Retrieval · Computer Science 2019-12-02 Lucas Vinh Tran , Yi Tay , Shuai Zhang , Gao Cong , Xiaoli Li

Safe and high-speed navigation is a key enabling capability for real world deployment of robotic systems. A significant limitation of existing approaches is the computational bottleneck associated with explicit mapping and the limited field…

Robotics · Computer Science 2020-12-23 Kapil D. Katyal , Adam Polevoy , Joseph Moore , Craig Knuth , Katie M. Popek

Hyperbolic geometry has emerged as an effective latent space for representing complex networks, owing to its ability to capture hierarchical organization and heterogeneous connectivity patterns using low-dimensional embeddings. As a result,…

Machine Learning · Computer Science 2026-05-01 Sofía Pérez Casulo , Marcelo Fiori , Bernardo Marenco , Federico Larroca

Temporal knowledge graph (TKG) reasoning predicts future events based on historical data, but it's challenging due to the complex semantic and hierarchical information involved. Existing Euclidean models excel at capturing semantics but…

Machine Learning · Computer Science 2024-09-04 Siling Feng , Zhisheng Qi , Cong Lin

Real world visual navigation requires robots to operate in unfamiliar, human-occupied dynamic environments. Navigation around humans is especially difficult because it requires anticipating their future motion, which can be quite…

Robotics · Computer Science 2021-02-16 Varun Tolani , Somil Bansal , Aleksandra Faust , Claire Tomlin

Traditional path-planning techniques treat humans as obstacles. This has changed since robots started to enter human environments. On modern robots, social navigation has become an important aspect of navigation systems. To use…

Robotics · Computer Science 2024-04-18 Yigit Yildirim , Emre Ugur

Navigating through dense human crowds remains a significant challenge for mobile robots. A key issue is the freezing robot problem, where the robot struggles to find safe motions and becomes stuck within the crowd. To address this, we…

Robotics · Computer Science 2026-03-03 Yufei Zhu , Shih-Min Yang , Martin Magnusson , Allan Wang

Human proximity networks are temporal networks representing the close-range proximity among humans in a physical space. They have been extensively studied in the past 15 years as they are critical for understanding the spreading of diseases…

Physics and Society · Physics 2020-11-24 Marco A. Rodríguez-Flores , Fragkiskos Papadopoulos

Hyperbolic embeddings have demonstrated their effectiveness in capturing measures of uncertainty and hierarchical relationships across various deep-learning tasks, including image segmentation and active learning. However, their application…

Machine Learning · Computer Science 2024-08-12 Paolo Mandica , Luca Franco , Konstantinos Kallidromitis , Suzanne Petryk , Fabio Galasso

Hierarchical 3D grouping aims to recover scene groups across multiple granularities, from fine object parts to complete objects, without relying on semantic labels or a fixed vocabulary. The main challenge is to transform 2D…

Computer Vision and Pattern Recognition · Computer Science 2026-05-13 ByungHa Ko , Youngmin Lee , Dong Hwan Kim

Understanding the intricate mappings between visual stimuli and neural responses is a fundamental challenge in cognitive neuroscience. While current approaches predominantly align images and functional magnetic resonance imaging (fMRI)…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Zihan Ma , Tian Xia , Kexin Wang , Xiao Li , Xiaowei He , Yudan Ren

Hyperbolic rotation is commonly used to effectively model knowledge graphs and their inherent hierarchies. However, existing hyperbolic rotation models rely on logarithmic and exponential mappings for feature transformation. These models…

Artificial Intelligence · Computer Science 2024-11-08 Qiuyu Liang , Weihua Wang , Feilong Bao , Guanglai Gao

Socially aware robot navigation is a planning paradigm where the robot navigates in human environments and tries to adhere to social constraints while interacting with the humans in the scene. These navigation strategies were further…

Robotics · Computer Science 2025-09-01 Hariharan Arunachalam , Phani Teja Singamaneni , Rachid Alami

In this paper, we present a planning framework that uses a combination of implicit (robot motion) and explicit (visual/audio/haptic feedback) communication during mobile robot navigation. First, we developed a model that approximates both…

Robotics · Computer Science 2020-02-25 Yuhang Che , Allison M. Okamura , Dorsa Sadigh

This paper addresses navigation in crowded environments by integrating goal-conditioned generative models with Sampling-based Model Predictive Control (SMPC). We introduce goal-conditioned autoregressive models to generate crowd behaviors,…

Robotics · Computer Science 2024-08-08 Martin Moder , Stephen Adhisaputra , Josef Pauli
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