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This paper addresses the prediction of stationary functional time series. Existing contributions to this problem have largely focused on the special case of first-order functional autoregressive processes because of their technical…

Methodology · Statistics 2014-04-01 Alexander Aue , Diogo Dubart Norinho , Siegfried Hörmann

We extend the active walker model to address the formation of paths on gradients, which have been observed to have a zigzag form. Our extension includes a new rule which prohibits direct descent or ascent on steep inclines, simulating…

Physics and Society · Physics 2009-07-21 S. J. Gilks , J. P. Hague

We extend the study of the inertial effects on the dynamics of active agents to the case where self-alignment is present. In contrast with the most common models of active particles, we find that self-alignment, which couples the rotational…

Soft Condensed Matter · Physics 2024-10-18 Jeremy Fersula , Nicolas Bredeche , Olivier Dauchot

The ability to know in advance the trend of running process instances, with respect to different features, such as the expected completion time, would allow business managers to timely counteract to undesired situations, in order to prevent…

Artificial Intelligence · Computer Science 2016-02-25 Mirko Polato , Alessandro Sperduti , Andrea Burattin , Massimiliano de Leoni

Predicting human motion in unstructured and dynamic environments is difficult as humans naturally exhibit complex behaviors that can change drastically from one environment to the next. In order to alleviate this issue, we propose to encode…

Robotics · Computer Science 2019-07-01 Philipp Kratzer , Marc Toussaint , Jim Mainprice

Anticipating human motion depends on two factors: the past motion and the person's intention. While the first factor has been extensively utilized to forecast short sequences of human motion, the second one remains elusive. In this work we…

Computer Vision and Pattern Recognition · Computer Science 2019-12-16 Julian Tanke , Andreas Weber , Juergen Gall

We present an approach for predictive braking of a four-wheeled vehicle on a nonplanar road. Our main contribution is a methodology to consider friction and road contact safety on general smooth road geometry. We use this to develop an…

Robotics · Computer Science 2024-06-05 Thomas Fork , Francesco Camozzi , Xiao-Yu Fu , Francesco Borrelli

Trajectory and intention prediction of traffic participants is an important task in automated driving and crucial for safe interaction with the environment. In this paper, we present a new approach to vehicle trajectory prediction based on…

Computer Vision and Pattern Recognition · Computer Science 2018-06-15 Jannik Quehl , Haohao Hu , Sascha Wirges , Martin Lauer

The safe trajectory planning of intelligent and connected vehicles is a key component in autonomous driving technology. Modeling the environment risk information by field is a promising and effective approach for safe trajectory planning.…

Robotics · Computer Science 2025-07-01 Zeyu Han , Mengchi Cai , Chaoyi Chen , Qingwen Meng , Guangwei Wang , Ying Liu , Qing Xu , Jianqiang Wang , Keqiang Li

Trajectory planning in autonomous driving is highly dependent on predicting the emergent behavior of other road users. Learning-based methods are currently showing impressive results in simulation-based challenges, with transformer-based…

Machine Learning · Computer Science 2024-08-08 Lars Ullrich , Alex McMaster , Knut Graichen

Efficient and accurate motion prediction is crucial for ensuring safety and informed decision-making in autonomous driving, particularly under dynamic real-world conditions that necessitate multi-modal forecasts. We introduce TrajFlow, a…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Qi Yan , Brian Zhang , Yutong Zhang , Daniel Yang , Joshua White , Di Chen , Jiachao Liu , Langechuan Liu , Binnan Zhuang , Shaoshuai Shi , Renjie Liao

Collisions and impacts are the principal reasons for impulsive motions, which we frequently see in dynamic responses of systems. Precise modelling of impacts is a challenging problem due to the lack of the accurate and commonly accepted…

Classical Physics · Physics 2025-06-13 Lipinski Krzysztof

Human motion prediction and trajectory forecasting are essential in human motion analysis. Nowadays, sensors can be seamlessly integrated into clothing using cutting-edge electronic textile (e-textile) technology, allowing long-term…

Robotics · Computer Science 2024-04-15 Tianchen Shen , Irene Di Giulio , Matthew Howard

Dynamic balance in human locomotion can be assessed through the local dynamic stability (LDS) method. Whereas gait LDS has been used successfully in many settings and applications, little is known about its sensitivity to individual…

Quantitative Methods · Quantitative Biology 2018-12-27 Fabienne Reynard , Philippe Terrier

A day in the life of a person involves a broad range of activities which are common across many people. Going beyond diurnal cycles, a central question is: to what extent do individuals act according to patterns shared across an entire…

Social and Information Networks · Computer Science 2018-01-25 Anders Mollgaard , Sune Lehmann , Joachim Mathiesen

Collision prediction in a dynamic and unknown environment relies on knowledge of how the environment is changing. Many collision prediction methods rely on deterministic knowledge of how obstacles are moving in the environment. However,…

Robotics · Computer Science 2019-04-08 Andrew Patterson , Arun Lakshmanan , Naira Hovakimyan

Head motion is a key determinant of motion comfort and differs substantially from seat motion due to seat and body compliance and dynamic postural stabilization. This paper compares different human body model fidelities to transmit seat…

Robotics · Computer Science 2025-09-11 Georgios Papaioannou , Raj Desai , Riender Happee

Clinical decision-making is a feedback system where risk estimates influence treatment, which in turn changes disease trajectories, and both shape clinicians' measurement practices. Static prediction often fails clinically: models trained…

Artificial Intelligence · Computer Science 2026-05-19 Pujun Feng , Xiaoyu Guo , Seyed Ehsan Saffari , Min Hun Lee , Siew-Kei Lam , Erik Cambria , Xibin Sun , Yangtao Zhou , Tong Yang , Xiaoyu Zhang , Tao Tan , Yue Sun , Bin Cui

The rising demand for Active Safety systems in automotive applications stresses the need for a reliable short to mid-term trajectory prediction. Anticipating the unfolding path of road users, one can act to increase the overall safety. In…

Computer Vision and Pattern Recognition · Computer Science 2021-06-17 Ido Freeman , Kun Zhao , Anton Kummert

Stability of running on rough terrain depends on the propagation of perturbations due to the ground. We consider stability within the sagittal plane and model the dynamics of running as a two-dimensional body with an alternating aerial and…

Biological Physics · Physics 2020-05-20 Nihav Dhawale , Shreyas Mandre , Madhusudhan Venkadesan
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