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The embedding of complex networks into metric spaces has become a research topic of high interest with a wide variety of proposed methods. Low dimensional hyperbolic spaces offer a natural co-domain for embeddings allowing a roughly uniform…

物理与社会 · 物理学 2024-10-07 Sámuel G. Balogh , Bendegúz Sulyok , Tamás Vicsek , Gergely Palla

Complex network topologies and hyperbolic geometry seem specularly connected, and one of the most fascinating and challenging problems of recent complex network theory is to map a given network to its hyperbolic space. The Popularity…

无序系统与神经网络 · 物理学 2017-12-08 Josephine Maria Thomas , Alessandro Muscoloni , Sara Ciucci , Ginestra Bianconi , Carlo Vittorio Cannistraci

Graph representation learning in Euclidean space, despite its widespread adoption and proven utility in many domains, often struggles to effectively capture the inherent hierarchical and complex relational structures prevalent in real-world…

机器学习 · 计算机科学 2025-08-26 Menglin Yang , Min Zhou , Tong Zhang , Jiahong Liu , Zhihao Li , Lujia Pan , Hui Xiong , Irwin King

If a robot can predict crowds in parts of its environment that are inaccessible to its sensors, then it can plan to avoid them. This paper proposes a fast, online algorithm that learns average crowd densities in different areas. It also…

人工智能 · 计算机科学 2017-10-17 Anoop Aroor , Susan L. Epstein

Information routing is one of the main tasks in many complex networks with a communication function. Maps produced by embedding the networks in hyperbolic space can assist this task enabling the implementation of efficient navigation…

物理与社会 · 物理学 2017-09-11 Elisenda Ortiz , Michele Starnini , M. Ángeles Serrano

With the prevalence of online social media, users' social connections have been widely studied and utilized to enhance the performance of recommender systems. In this paper, we explore the use of hyperbolic geometry for social…

信息检索 · 计算机科学 2021-02-19 Anchen Li , Bo Yang

This paper addresses a safe planning and control problem for mobile robots operating in communication- and sensor-limited dynamic environments. In this case the robots cannot sense the objects around them and must instead rely on…

机器人学 · 计算机科学 2022-09-13 Matthew Cleaveland , Esen Yel , Yiannis Kantaros , Insup Lee , Nicola Bezzo

Embedding the data in hyperbolic spaces can preserve complex relationships in very few dimensions, thus enabling compact models and improving efficiency of machine learning (ML) algorithms. The underlying idea is that hyperbolic…

机器学习 · 计算机科学 2025-01-14 Vladimir Jaćimović

Recent knowledge graph embedding (KGE) models based on hyperbolic geometry have shown great potential in a low-dimensional embedding space. However, the necessity of hyperbolic space in KGE is still questionable, because the calculation…

人工智能 · 计算机科学 2021-10-26 Kai Wang , Yu Liu , Dan Lin , Quan Z. Sheng

Deep learning in hyperbolic space is quickly gaining traction in the fields of machine learning, multimedia, and computer vision. Deep networks commonly operate in Euclidean space, implicitly assuming that data lies on regular grids. Recent…

机器学习 · 计算机科学 2023-12-20 Max van Spengler , Philipp Wirth , Pascal Mettes

Mobility in an effective and socially-compliant manner is an essential yet challenging task for robots operating in crowded spaces. Recent works have shown the power of deep reinforcement learning techniques to learn socially cooperative…

机器人学 · 计算机科学 2024-10-30 Changan Chen , Yuejiang Liu , Sven Kreiss , Alexandre Alahi

Learning representations according to the underlying geometry is of vital importance for non-Euclidean data. Studies have revealed that the hyperbolic space can effectively embed hierarchical or tree-like data. In particular, the few past…

机器学习 · 计算机科学 2023-06-16 Eric Qu , Dongmian Zou

Autonomous navigation in highly populated areas remains a challenging task for robots because of the difficulty in guaranteeing safe interactions with pedestrians in unstructured situations. In this work, we present a crowd navigation…

机器人学 · 计算机科学 2022-08-04 Diego Paez-Granados , Yujie He , David Gonon , Dan Jia , Bastian Leibe , Kenji Suzuki , Aude Billard

We present a novel hybrid learning-assisted planning method, named HyPlan, for solving the collision-free navigation problem for self-driving cars in partially observable traffic environments. HyPlan combines methods for multi-agent…

机器人学 · 计算机科学 2026-02-09 Donald Pfaffmann , Matthias Klusch , Marcel Steinmetz

Robot navigation in dense human crowds poses a significant challenge due to the complexity of human behavior in dynamic and obstacle-rich environments. In this work, we propose a dynamic weight adjustment scheme using a neural network to…

机器人学 · 计算机科学 2024-12-03 Muqing Cao , Xinhang Xu , Yizhuo Yang , Jianping Li , Tongxing Jin , Pengfei Wang , Tzu-Yi Hung , Guosheng Lin , Lihua Xie

We present a novel human-aware navigation approach, where the robot learns to mimic humans to navigate safely in crowds. The presented model, referred to as DeepMoTIon, is trained with pedestrian surveillance data to predict human velocity…

机器人学 · 计算机科学 2019-08-05 Mahmoud Hamandi , Mike D'Arcy , Pooyan Fazli

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…

人工智能 · 计算机科学 2026-05-29 Yuyu Liu , Haotian Xu , Yanan He , Sarang Rajendra Patil , Mengjia Xu , Tengfei Ma

We present hierarchical policy blending as optimal transport (HiPBOT). HiPBOT hierarchically adjusts the weights of low-level reactive expert policies of different agents by adding a look-ahead planning layer on the parameter space. The…

机器人学 · 计算机科学 2023-04-13 An T. Le , Kay Hansel , Jan Peters , Georgia Chalvatzaki

Hyperbolic deep learning leverages the metric properties of hyperbolic spaces to develop efficient and informative embeddings of hierarchical data. Here, we focus on the solvable group structure of hyperbolic spaces, which follows naturally…

机器学习 · 计算机科学 2025-06-02 Federico Milanesio , Matteo Santoro , Pietro G. Fré , Guido Sanguinetti

Robots operating in human-populated environments must navigate safely and efficiently while minimizing social disruption. Achieving this requires estimating crowd movement to avoid congested areas in real-time. Traditional microscopic…

机器人学 · 计算机科学 2025-08-28 Maryam Kazemi Eskeri , Thomas Wiedemann , Ville Kyrki , Dominik Baumann , Tomasz Piotr Kucner