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It is suggested that the motion of pedestrians can be described as if they would be subject to `social forces'. These `forces' are not directly exerted by the pedestrians' personal environment, but they are a measure for the internal…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , Peter Molnar

Predicting human mobility is crucial for urban planning, traffic control, and emergency response. Mobility behaviors can be categorized into individual and collective, and these behaviors are recorded by diverse mobility data, such as…

Machine Learning · Computer Science 2024-12-23 Qingyue Long , Yuan Yuan , Yong Li

We establish a dimension formula for the harmonic measure of a finitely supported and symmetric random walk on a hyperbolic group. We also characterize random walks for which this dimension is maximal. Our approach is based on the Green…

Probability · Mathematics 2013-02-11 Sébastien Blachère , Peter Haïssinsky , Pierre Mathieu

In recent years, crowd analysis is important for applications such as smart cities, intelligent transportation system, customer behavior prediction, and visual surveillance. Understanding the characteristics of the individual motion in a…

Computer Vision and Pattern Recognition · Computer Science 2020-01-22 Wenxi Liu , Yuanlong Yu , Chun-Yang Zhang , Genggeng Liu , Naixue Xiong

This paper presents a novel hierarchical approach for collective behavior recognition based solely on ground-plane trajectories. In the first layer of our classifier, we introduce a novel feature called Personal Interaction Descriptor…

Computer Vision and Pattern Recognition · Computer Science 2018-09-28 Gustavo Fuhr , Claudio Rosito Jung

Posture control and balance are basic requirements for a humanoid robot performing motor tasks like walking and interacting with the environment. For this reason, posture control is one of the elements taken into account when evaluating the…

Robotics · Computer Science 2021-10-28 Vittorio Lippi , Christoph Maurer , Thomas Mergner

Human motion prediction is non-trivial in modern industrial settings. Accurate prediction of human motion can not only improve efficiency in human robot collaboration, but also enhance human safety in close proximity to robots. Among…

Robotics · Computer Science 2020-01-28 Weiye Zhao , Liting Sun , Changliu Liu , Masayoshi Tomizuka

The relative dynamics in collision avoidance between individual pedestrians and dyads has been recently studied, and it was shown that individuals may intrude dyads that are not socially interacting. Building on this, our current study…

Physics and Society · Physics 2024-06-11 Adrien Gregorj , Zeynep Yücel , Francesco Zanlugo , Takayuki Kanda

We address the problem of human motion tracking by registering a surface to 3-D data. We propose a method that iteratively computes two things: Maximum likelihood estimates for both the kinematic and free-motion parameters of a kinematic…

Computer Vision and Pattern Recognition · Computer Science 2023-11-21 Radu Horaud , Matti Niskanen , Guillaume Dewaele , Edmond Boyer

Living systems exhibit complex yet organized behavior on multiple spatiotemporal scales. To investigate the nature of multiscale coordination in living systems, one needs a meaningful and systematic way to quantify the complex dynamics, a…

Adaptation and Self-Organizing Systems · Physics 2020-03-11 Mengsen Zhang , William D. Kalies , J. A. Scott Kelso , Emmanuelle Tognoli

Joint relation modeling is a curial component in human motion prediction. Most existing methods rely on skeletal-based graphs to build the joint relations, where local interactive relations between joint pairs are well learned. However, the…

Computer Vision and Pattern Recognition · Computer Science 2024-04-05 Pengxiang Ding , Jianqin Yin

Motion prediction is a classic problem in computer vision, which aims at forecasting future motion given the observed pose sequence. Various deep learning models have been proposed, achieving state-of-the-art performance on motion…

Computer Vision and Pattern Recognition · Computer Science 2022-01-10 Pengxiang Su , Zhenguang Liu , Shuang Wu , Lei Zhu , Yifang Yin , Xuanjing Shen

Considering a simple symmetric random walk in dimension $d\geq 3$, we study the almost sure joint asymptotic behavior of two objects: first the local times of a pair of neighboring points, then the local time of a point and the occupation…

Probability · Mathematics 2016-08-16 Endre Csáki , Antónia Földes , Pál Révész

The commonly used metrics for motion prediction do not correlate well with a self-driving vehicle's system-level performance. The most common metrics are average displacement error (ADE) and final displacement error (FDE), which omit many…

Robotics · Computer Science 2021-04-20 Skanda Shridhar , Yuhang Ma , Tara Stentz , Zhengdi Shen , Galen Clark Haynes , Neil Traft

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…

Robotics · Computer Science 2022-08-04 Diego Paez-Granados , Yujie He , David Gonon , Dan Jia , Bastian Leibe , Kenji Suzuki , Aude Billard

In collaborative environments, a deep understanding of multi-human teaming dynamics is essential for optimizing performance. However, the relationship between individuals' behavioral and physiological markers and their combined influence on…

Neurons and Cognition · Quantitative Biology 2025-01-28 Yinuo Qin , Richard T. Lee , Weijia Zhang , Xiaoxiao Sun , Paul Sajda

Large amplitude collective motion is investigated for a model pairing Hamiltonian containing an avoided level crossing. A classical theory of collective motion for the adiabatic limit is applied utilising either a time-dependent mean-field…

Nuclear Theory · Physics 2008-11-26 Takashi Nakatsukasa , Niels R. Walet

Collective behaviours often need to be expressed through numerical features, e.g., for classification or imitation learning. This problem is often addressed by proposing an ad-hoc feature set for a particular swarm behaviour context,…

Robotics · Computer Science 2026-02-16 André Fialho Jesus , Jonas Kuckling

Existing metrics in competing risks survival analysis such as concordance and accuracy do not evaluate a model's ability to jointly predict the event type and the event time. To address these limitations, we propose a new metric, which we…

Methodology · Statistics 2019-08-20 Kartik Ahuja , Mihaela van der Schaar

Many statistical applications require the quantification of joint dependence among more than two random vectors. In this work, we generalize the notion of distance covariance to quantify joint dependence among d >= 2 random vectors. We…

Methodology · Statistics 2018-06-18 Shubhadeep Chakraborty , Xianyang Zhang