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The ability to predict traffic flow over time for crowded areas during rush hours is increasingly important as it can help authorities make informed decisions for congestion mitigation or scheduling of infrastructure development in an area.…

Machine Learning · Computer Science 2023-04-03 Zann Koh , Yan Qin , Yong Liang Guan , Chau Yuen

Predicting human behavior is a difficult and crucial task required for motion planning. It is challenging in large part due to the highly uncertain and multi-modal set of possible outcomes in real-world domains such as autonomous driving.…

Machine Learning · Computer Science 2019-10-15 Yuning Chai , Benjamin Sapp , Mayank Bansal , Dragomir Anguelov

An active area of research is to increase the safety of self-driving vehicles. Although safety cannot be guarenteed completely, the capability of a vehicle to predict the future trajectories of its surrounding vehicles could help ensure…

Computer Vision and Pattern Recognition · Computer Science 2019-02-15 Shayan Jawed , Eya Boumaiza , Josif Grabocka , Lars Schmidt-Thieme

Learning to forecast trajectories of intelligent agents has caught much more attention recently. However, it remains a challenge to accurately account for agents' intentions and social behaviors when forecasting, and in particular, to…

Computer Vision and Pattern Recognition · Computer Science 2025-03-11 Conghao Wong , Ziqian Zou , Beihao Xia , Xinge You

Due to the inherent safety concerns associated with traffic movement in unconstrained two-dimensional settings, it is important that pedestrians' and other modes' movements such as bicyclists are modeled as a risk-taking stochastic dynamic…

Physics and Society · Physics 2024-07-30 Mohaiminul Haque , Samer Hamdar , Alireza Talebpour

In a given scenario, simultaneously and accurately predicting every possible interaction of traffic participants is an important capability for autonomous vehicles. The majority of current researches focused on the prediction of an single…

Machine Learning · Computer Science 2018-10-31 Yeping Hu , Wei Zhan , Masayoshi Tomizuka

One of the key challenges for autonomous vehicles is the ability to accurately predict the motion of other objects in the surrounding environment, such as pedestrians or other vehicles. In this contribution, a novel motion forecasting…

Robotics · Computer Science 2023-10-09 Kay Scheerer , Thomas Michalke , Juergen Mathes

State estimation and control are often addressed separately, leading to unsafe execution due to sensing noise, execution errors, and discrepancies between the planning model and reality. Simultaneous control and trajectory estimation using…

Robotics · Computer Science 2025-04-29 Edgar Granados , Sumanth Tangirala , Kostas E. Bekris

Traditional vehicle routing algorithms do not consider the changing nature of traffic. While implementations of Dijkstra's algorithm with varying weights exist, the weights are often changed after the outcome of algorithm is executed, which…

Optimization and Control · Mathematics 2022-05-31 Piyush Udhan , Akhilesh Ganeshkar , Poobigan Murugesan , Abhishek Raj Permani , Sameep Sanjeeva , Parth Deshpande

In model-based reinforcement learning, most algorithms rely on simulating trajectories from one-step models of the dynamics learned on data. A critical challenge of this approach is the compounding of one-step prediction errors as the…

Machine Learning · Computer Science 2024-02-06 Abdelhakim Benechehab , Albert Thomas , Giuseppe Paolo , Maurizio Filippone , Balázs Kégl

Robot navigation around humans can be a challenging problem since human movements are hard to predict. Stochastic model predictive control (MPC) can account for such uncertainties and approximately bound the probability of a collision to…

Robotics · Computer Science 2024-07-22 Yunfan Gao , Florian Messerer , Niels van Duijkeren , Moritz Diehl

In the field of autonomous systems, accurately predicting the trajectories of nearby vehicles and pedestrians is crucial for ensuring both safety and operational efficiency. This paper introduces a novel methodology for trajectory…

Robotics · Computer Science 2024-08-26 Yu Zhang , Yongxiang Zou , Haoyu Zhang , Zeyu Liu , Houcheng Li , Long Cheng

A system responding to a stochastic driving signal can be interpreted as computing, by means of its dynamics, an implicit model of the environmental variables. The system's state retains information about past environmental fluctuations,…

Statistical Mechanics · Physics 2012-10-09 Susanne Still , David A. Sivak , Anthony J. Bell , Gavin E. Crooks

Models for vehicle dynamics play an important role in maneuver planning for automated driving. They are used to derive trajectories from given control inputs, or to evaluate a given trajectory in terms of constraint violation or optimality…

Robotics · Computer Science 2024-05-15 J. R. Ziehn , M. Ruf , M. Roschani , J. Beyerer

We introduce a statistical physics inspired supervised machine learning algorithm for classification and regression problems. The method is based on the invariances or stability of predicted results when known data is represented as…

Machine Learning · Statistics 2018-11-19 Patrick Chao , Tahereh Mazaheri , Bo Sun , Nicholas B. Weingartner , Zohar Nussinov

Coarse-grained models of chaotic systems neglect unresolved degrees of freedom, inducing structured model error that limits predictability and distorts long-term statistics. Typical data-driven closures are trained to minimize error over a…

Dynamical Systems · Mathematics 2026-03-31 Martin Thomas Brolly

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

Human motion prediction is an important and challenging topic that has promising prospects in efficient and safe human-robot-interaction systems. Currently, the majority of the human motion prediction algorithms are based on deterministic…

Robotics · Computer Science 2021-07-15 Jie Xu , Xingyu Chen , Xuguang Lan , Nanning Zheng

Pedestrian motion prediction is a fundamental task for autonomous robots and vehicles to operate safely. In recent years many complex approaches based on neural networks have been proposed to address this problem. In this work we show that…

Computer Vision and Pattern Recognition · Computer Science 2020-01-23 Christoph Schöller , Vincent Aravantinos , Florian Lay , Alois Knoll

The theory of slow manifolds is an important tool in the study of deterministic dynamical systems, giving a practical method by which to reduce the number of relevant degrees of freedom in a model, thereby often resulting in a considerable…

Statistical Mechanics · Physics 2013-07-01 George W A Constable , Alan J McKane , Tim Rogers
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