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Understanding and predicting the intention of pedestrians is essential to enable autonomous vehicles and mobile robots to navigate crowds. This problem becomes increasingly complex when we consider the uncertainty and multimodality of…

Computer Vision and Pattern Recognition · Computer Science 2020-07-14 Stuart Eiffert , Kunming Li , Mao Shan , Stewart Worrall , Salah Sukkarieh , Eduardo Nebot

We propose a data-driven framework for learning reduced-order moment dynamics from PDE-governed systems using Neural ODEs. In contrast to derivative-based methods like SINDy, which necessitate densely sampled data and are sensitive to…

Pattern Formation and Solitons · Physics 2025-06-06 Shaoxuan Chen , Su Yang , Panayotis G. Kevrekidis , Wei Zhu

Teaching autonomous mobile robots to successfully navigate human crowds is a challenging task. Not only does it require planning, but it requires maintaining social norms which may differ from one context to another. Here we focus on crowd…

Robotics · Computer Science 2024-04-11 Rajshree Daulatabad , Serena Nath

Accurate, long-term forecasting of pedestrian trajectories in highly dynamic and interactive scenes is a long-standing challenge. Recent advances in using data-driven approaches have achieved significant improvements in terms of prediction…

Computer Vision and Pattern Recognition · Computer Science 2022-03-08 Rui Zhou , Hongyu Zhou , Huidong Gao , Masayoshi Tomizuka , Jiachen Li , Zhuo Xu

Ultra-dense crowds, in which physical contact between people cannot be avoided, pose major safety concerns. Nevertheless, the underlying dynamics driving their collective behaviours remain poorly understood. Existing dense crowd models,…

Physics and Society · Physics 2026-01-12 Thomas Chatagnon , Mohcine Chraibi , Julien Pettré , Armin Seyfried , Antoine Tordeux

This paper deals with the kinetic theory modeling of crowd dynamics with the aim of showing how the dynamics at the micro-scale is transferred to the dynamics of collective behaviors. The derivation of a new model is followed by a…

Mathematical Physics · Physics 2013-01-24 Nicola Bellomo , Abdelghani Bellouquid , Damian Knopoff

For the modelling of pedestrian dynamics we treat persons as self-driven objects moving in a continuous space. On the basis of a modified social force model we qualitatively analyze the influence of various approaches for the interaction…

Physics and Society · Physics 2007-05-23 Armin Seyfried , Bernhard Steffen , Thomas Lippert

In high population cities, the gatherings of large crowds in public places and public areas accelerate or jeopardize people safety and transportation, which is a key challenge to the researchers. Although much research has been carried out…

Computer Vision and Pattern Recognition · Computer Science 2019-09-11 Muhammad Siraj

In recent years, vision-based crowd analysis has been studied extensively due to its practical applications in real world. In this paper, we formulate a novel crowd analysis problem, in which we aim to predict the crowd distribution in the…

Computer Vision and Pattern Recognition · Computer Science 2020-06-11 Yuzhen Niu , Weifeng Shi , Wenxi Liu , Shengfeng He , Jia Pan , Antoni B. Chan

Understanding how people move in the urban area is important for solving urbanization issues, such as traffic management, urban planning, epidemic control, and communication network improvement. Leveraging recent availability of large…

Social and Information Networks · Computer Science 2019-05-27 Yuren Zhou , Billy Pik Lik Lau , Chau Yuen , Bige Tunçer , Erik Wilhelm

In densely populated environments, socially compliant navigation is critical for autonomous robots as driving close to people is unavoidable. This manner of social navigation is challenging given the constraints of human comfort and social…

Robotics · Computer Science 2019-11-28 Xinjie Yao , Ji Zhang , Jean Oh

We present the pedestrian patterns dataset for autonomous driving. The dataset was collected by repeatedly traversing the same three routes for one week starting at different specific timeslots. The purpose of the dataset is to capture the…

Computer Vision and Pattern Recognition · Computer Science 2020-01-08 Kasra Mokhtari , Alan R. Wagner

The possibility to understand and to quantitatively model the physics of the interactions between pedestrians walking in crowds has compelling relevant applications, e.g. related to the design and safety of civil infrastructures. In this…

Physics and Society · Physics 2018-12-19 Alessandro Corbetta , Jasper Meeusen , Chung-min Lee , Roberto Benzi , Federico Toschi

Pedestrian trajectory prediction is essential for collision avoidance in autonomous driving and robot navigation. However, predicting a pedestrian's trajectory in crowded environments is non-trivial as it is influenced by other pedestrians'…

Computer Vision and Pattern Recognition · Computer Science 2019-02-15 Sirin Haddad , Meiqing Wu , He Wei , Siew Kei Lam

In this paper, we present an initial attempt to learn evolution PDEs from data. Inspired by the latest development of neural network designs in deep learning, we propose a new feed-forward deep network, called PDE-Net, to fulfill two…

Numerical Analysis · Mathematics 2018-01-03 Zichao Long , Yiping Lu , Xianzhong Ma , Bin Dong

An important aspect of urban planning is understanding crowd levels at various locations, which typically require the use of physical sensors. Such sensors are potentially costly and time consuming to implement on a large scale. To address…

Social and Information Networks · Computer Science 2020-12-08 Jerome Heng , Junhua Liu , Kwan Hui Lim

Moving in dynamic pedestrian environments is one of the important requirements for autonomous mobile robots. We present a model-based reinforcement learning approach for robots to navigate through crowded environments. The navigation policy…

Robotics · Computer Science 2020-11-10 Yuxiang Cui , Haodong Zhang , Yue Wang , Rong Xiong

Realizations of stochastic process are often observed temporal data or functional data. There are growing interests in classification of dynamic or functional data. The basic feature of functional data is that the functional data have…

Machine Learning · Statistics 2014-10-28 Lerong Li , Momiao Xiong

Crowd movement guidance has been a fascinating problem in various fields, such as easing traffic congestion in unusual events and evacuating people from an emergency-affected area. To grab the reins of crowds, there has been considerable…

Machine Learning · Computer Science 2021-07-20 Koh Takeuchi , Ryo Nishida , Hisashi Kashima , Masaki Onishi

This paper addresses the theoretical foundations of pedestrian models for crowd dynamics. While the topic gains momentum, current models differ widely in their mathematical structure, even if we only consider continuous agent-based models.…

Physics and Society · Physics 2025-03-13 Iñaki Echeverría-Huarte , Antonin Roge , Olivier Simonin , Alexandre Nicolas