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We study the first-passage properties of a random walk in the unit interval in which the length of a single step is uniformly distributed over the finite range [-a,a]. For a of the order of one, the exit probabilities to each edge of the…

Data Analysis, Statistics and Probability · Physics 2007-05-23 T. Antal , S. Redner

One of the most crucial yet challenging tasks for autonomous vehicles in urban environments is predicting the future behaviour of nearby pedestrians, especially at points of crossing. Predicting behaviour depends on many social and…

Computer Vision and Pattern Recognition · Computer Science 2021-03-26 Tiffany Yau , Saber Malekmohammadi , Amir Rasouli , Peter Lakner , Mohsen Rohani , Jun Luo

We present a Pedestrian Dominance Model (PDM) to identify the dominance characteristics of pedestrians for robot navigation. Through a perception study on a simulated dataset of pedestrians, PDM models the perceived dominance levels of…

Robotics · Computer Science 2019-02-15 Tanmay Randhavane , Aniket Bera , Emily Kubin , Austin Wang , Kurt Gray , Dinesh Manocha

Pedestrian studies in retail areas are critical for comfort and convenience in transportation facility designs. But existing literature lacks detailed empirical observations that focus on pedestrian speed variations and their mechanisms in…

Physics and Society · Physics 2023-10-10 Danrui Li

One of the objectives of understanding pedestrian behavior is to predict the effect of proposed changes in the design or evaluation of pedestrian facilities. We want to know the impact to the user of the facilities, as the design of the…

Computer Vision and Pattern Recognition · Computer Science 2016-09-09 Kardi Teknomo , Yasushi Takeyama , Hajime Inamura

* ACTIVATED RANDOM WALK MODEL * This is a conservative particle system on the lattice, with a Markovian continuous-time evolution. Active particles perform random walks without interaction, and they may as well change their state to…

Probability · Mathematics 2011-03-15 Leonardo T. Rolla

This paper presents a novel framework for human trajectory prediction based on multimodal data (video and radar). Motivated by recent neuroscience discoveries, we propose incorporating a structured memory component in the human trajectory…

Computer Vision and Pattern Recognition · Computer Science 2018-07-24 Tharindu Fernando , Simon Denman , Sridha Sridharan , Clinton Fookes

An understanding of pedestrian dynamics is indispensable for numerous urban applications including the design of transportation networks and planing for business development. Pedestrian counting often requires utilizing manual or technical…

Computer Vision and Pattern Recognition · Computer Science 2021-10-12 Eric K. Tokuda , Yitzchak Lockerman , Gabriel B. A. Ferreira , Ethan Sorrelgreen , David Boyle , Roberto M. Cesar-Jr. , Claudio T. Silva

We study the dynamics of a deterministic walk confined in a narrow two-dimensional space randomly filled with point-like targets. At each step, the walker visits the nearest target not previously visited. Complex dynamics is observed at…

Disordered Systems and Neural Networks · Physics 2009-11-13 Denis Boyer

The movement of pedestrians is supposed to show certain regularities which can be best described by an ``algorithm'' for the individual behavior and is easily simulated on computers. This behavior is assumed to be determined by an intended…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing

This paper proposes a comprehensive approach for modeling pedestrian wayfinding behavior in complex buildings. This study employs two types of discrete choice models (i.e., MNL and PSL) featuring pedestrian route choice behavior, and three…

Human-Computer Interaction · Computer Science 2023-04-25 Yan Feng , Dorine C. Duives

Predicting human trajectories is a challenging task due to the complexity of pedestrian behavior, which is influenced by external factors such as the scene's topology and interactions with other pedestrians. A special challenge arises from…

Physics and Society · Physics 2023-07-31 Raphael Korbmacher , Huu-Tu Dang , Antoine Tordeux

In animal societies as well as in human crowds, many observed collective behaviours result from self-organized processes based on local interactions among individuals. However, models of crowd dynamics are still lacking a systematic…

Physics and Society · Physics 2009-09-30 Mehdi Moussaid , Dirk Helbing , Simon Garnier , Anders Johansson , Maud Combe , Guy Theraulaz

Moving groups are routinely faced with a choice of different routes as part of their daily lives, such as choosing between exits from a building. Differences in moving speeds and environmental constraints often lead to individuals being…

Physics and Society · Physics 2025-12-16 Anna Sigalou , Yunhe Tong , Charlie Pilgrim , Richard P. Mann , Nikolai W. F. Bode

Pedestrian dynamics exhibits various collective phenomena. Here we study bidirectional pedestrian flow in a floor field cellular automaton model. Under certain conditions, lane formation is observed. Although it has often been studied…

Physics and Society · Physics 2012-07-25 Stefan Nowak , Andreas Schadschneider

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

This paper proposes a graph-based approach to representing spatio-temporal trajectory data that allows an effective visualization and characterization of city-wide traffic dynamics. With the advance of sensor, mobile, and Internet of Things…

Machine Learning · Computer Science 2022-12-07 Jiwon Kim , Kai Zheng , Jonathan Corcoran , Sanghyung Ahn , Marty Papamanolis

Understanding human motion is crucial for accurate pedestrian trajectory prediction. Conventional methods typically rely on supervised learning, where ground-truth labels are directly optimized against predicted trajectories. This amplifies…

Computer Vision and Pattern Recognition · Computer Science 2025-04-01 Yizhou Huang , Yihua Cheng , Kezhi Wang

Walking is a fundamental activity of human life, not only for moving between places but also for interacting with surrounding environments. While walking to destinations, pedestrians may acquaint themselves with attractions such as…

Physics and Society · Physics 2017-11-22 Jaeyoung Kwak

Following the paradigm set by attraction-repulsion-alignment schemes, a myriad of individual based models have been proposed to calculate the evolution of abstract agents. While the emergent features of many agent systems have been…

Physics and Society · Physics 2019-05-03 Rafael Bailo , José A. Carrillo , Pierre Degond