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Symmetries, e.g. rotational and translational invariances for the class of mechanical systems, allow to characterize solution trajectories of nonlinear dynamical systems. Thus, the restriction to symmetry-induced dynamics, e.g. by using the…

Optimization and Control · Mathematics 2019-06-24 Kathrin Flaßkamp , Sina Ober-Blöbaum , Karl Worthmann

The data presented here show that human drivers apply a discrete noisy control mechanism to drive their vehicle. A car-following model built on these observations, together with some physical limitations (crash-freeness, acceleration), led…

Physics and Society · Physics 2009-11-11 Peter Wagner

Human motion prediction is essential for the safe and smooth operation of mobile service robots and intelligent vehicles around people. Commonly used neural network-based approaches often require large amounts of complete trajectories to…

Robotics · Computer Science 2023-06-07 Yufei Zhu , Andrey Rudenko , Tomasz P. Kucner , Achim J. Lilienthal , Martin Magnusson

During the past few years, probabilistic approaches to imitation learning have earned a relevant place in the literature. One of their most prominent features, in addition to extracting a mean trajectory from task demonstrations, is that…

Robotics · Computer Science 2023-09-27 João Silvério , Yanlong Huang , Fares J. Abu-Dakka , Leonel Rozo , Darwin G. Caldwell

Detection and segmentation of moving obstacles, along with prediction of the future occupancy states of the local environment, are essential for autonomous vehicles to proactively make safe and informed decisions. In this paper, we propose…

Robotics · Computer Science 2022-09-28 Maneekwan Toyungyernsub , Esen Yel , Jiachen Li , Mykel J. Kochenderfer

Data-driven modeling is useful for reconstructing nonlinear dynamical systems when the underlying process is unknown or too expensive to compute. Having reliable uncertainty assessment of the forecast enables tools to be deployed to predict…

Methodology · Statistics 2023-11-01 Mengyang Gu , Yizi Lin , Victor Chang Lee , Diana Qiu

This paper proposes a learning-from-demonstration method using probability densities on the workspaces of robot manipulators. The method, named "PRobabilistically-Informed Motion Primitives (PRIMP)", learns the probability distribution of…

Robotics · Computer Science 2023-05-26 Sipu Ruan , Weixiao Liu , Xiaoli Wang , Xin Meng , Gregory S. Chirikjian

Despite the long history of modelling human mobility, we continue to lack a highly accurate approach with low data requirements for predicting mobility patterns in cities. Here, we present a population-weighted opportunities model without…

Physics and Society · Physics 2017-10-03 Xiao-Yong Yan , Chen Zhao , Ying Fan , Zengru Di , Wen-Xu Wang

Neural networks make accurate predictions but often fail to provide reliable uncertainty estimates, especially under covariate distribution shifts between training and testing. To address this problem, we propose a Bayesian framework for…

Machine Learning · Statistics 2025-12-22 Yuli Slavutsky , David M. Blei

Urban environments offer a challenging scenario for autonomous driving. Globally localizing information, such as a GPS signal, can be unreliable due to signal shadowing and multipath errors. Detailed a priori maps of the environment with…

Robotics · Computer Science 2021-08-12 Jordan Chipka

Accurate motion prediction of surrounding traffic participants is crucial for the safe and efficient operation of automated vehicles in dynamic environments. Marginal prediction models commonly forecast each agent's future trajectories…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Fabian Konstantinidis , Ariel Dallari Guerreiro , Raphael Trumpp , Moritz Sackmann , Ulrich Hofmann , Marco Caccamo , Christoph Stiller

Due to the complexity of the traffic flow dynamics in urban road networks, most quantitative descriptions of city traffic so far are based on computer simulations. This contribution pursues a macroscopic (fluid-dynamic) simulation approach,…

Fluid Dynamics · Physics 2015-03-18 Amin Mazloumian , Nikolas Geroliminis , Dirk Helbing

Modeling of urban traffic flows is required due to the complexity of their successful forecasting, as well as due to the impact of various random factors on them, and the complexity of transport systems in modern cities. Forecasting of…

Physics and Society · Physics 2023-05-02 Yekimov Sergiy

Motion forecasts of road users (i.e., agents) vary in complexity depending on the number of agents, scene constraints, and interactions. In particular, the output space of joint trajectory distributions grows exponentially with the number…

Computer Vision and Pattern Recognition · Computer Science 2026-04-30 Royden Wagner , Omer Sahin Tas , Felix Hauser , Marlon Steiner , Dominik Strutz , Abhishek Vivekanandan , Jaime Villa , Yinzhe Shen , Carlos Fernandez , Christoph Stiller

This paper presents a learning from demonstration approach to programming safe, autonomous behaviors for uncommon driving scenarios. Simulation is used to re-create a targeted driving situation, one containing a road-side hazard creating a…

Robotics · Computer Science 2018-06-04 Priyam Parashar , Akansel Cosgun , Alireza Nakhaei , Kikuo Fujimura

Prediction of human motions is key for safe navigation of autonomous robots among humans. In cluttered environments, several motion hypotheses may exist for a pedestrian, due to its interactions with the environment and other pedestrians.…

Robotics · Computer Science 2020-11-17 Bruno Brito , Hai Zhu , Wei Pan , Javier Alonso-Mora

Human trajectory forecasting is a critical challenge in fields such as robotics and autonomous driving. Due to the inherent uncertainty of human actions and intentions in real-world scenarios, various unexpected occurrences may arise. To…

Computer Vision and Pattern Recognition · Computer Science 2024-01-09 Yuxin Yang , Pengfei Zhu , Mengshi Qi , Huadong Ma

Semantically understanding complex drivers' encountering behavior, wherein two or multiple vehicles are spatially close to each other, does potentially benefit autonomous car's decision-making design. This paper presents a framework of…

Machine Learning · Computer Science 2018-07-30 Wenshuo Wang , Weiyang Zhang , Ding Zhao

Understanding the intentions of drivers at intersections is a critical component for autonomous vehicles. Urban intersections that do not have traffic signals are a common epicentre of highly variable vehicle movement and interactions. We…

Computer Vision and Pattern Recognition · Computer Science 2018-07-27 Alex Zyner , Stewart Worrall , Eduardo Nebot

A multitude of publicly-available driving datasets and data platforms have been raised for autonomous vehicles (AV). However, the heterogeneities of databases in size, structure and driving context make existing datasets practically…

Computer Vision and Pattern Recognition · Computer Science 2018-05-15 Jiacheng Zhu , Wenshuo Wang , Ding Zhao
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