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In this paper, we propose the generalized mixed reduced rank regression method, GMR$^3$ for short. GMR$^3$ is a regression method for a mix of numeric, binary, and ordinal response variables. The predictor variables can be a mix of binary,…

Methodology · Statistics 2025-01-23 Mark de Rooij , Lorenza Cotugno , Roberta Siciliano

Accurate and robust recognition and prediction of traffic situation plays an important role in autonomous driving, which is a prerequisite for risk assessment and effective decision making. Although there exist a lot of works dealing with…

Artificial Intelligence · Computer Science 2018-09-11 Jiachen Li , Hengbo Ma , Wei Zhan , Masayoshi Tomizuka

In the recent vehicle trajectory prediction literature, the most common baselines are briefly introduced without the necessary information to reproduce it. In this article we produce reproducible vehicle prediction results from simple…

Robotics · Computer Science 2020-10-29 Jean Mercat , Nicole El Zoghby , Guillaume Sandou , Dominique Beauvois , Guillermo Pita Gil

The goal of system identification is to learn about underlying physics dynamics behind the time-series data. To model the probabilistic and nonparametric dynamics model, Gaussian process (GP) have been widely used; GP can estimate the…

Machine Learning · Statistics 2018-11-22 Young-Jin Park , Han-Lim Choi

We derive macroscopic traffic equations from specific gas-kinetic equations, dropping some of the assumptions and approximations made in previous papers. The resulting partial differential equations for the vehicle density and average…

Statistical Mechanics · Physics 2009-10-31 Martin Treiber , Ansgar Hennecke , Dirk Helbing

Most autonomous navigation systems assume wheeled robots are rigid bodies and their 2D planar workspaces can be divided into free spaces and obstacles. However, recent wheeled mobility research, showing that wheeled platforms have the…

Robotics · Computer Science 2023-09-26 Aniket Datar , Chenhui Pan , Xuesu Xiao

Recent years have seen remarkable progress in autonomous driving, yet generalization to long-tail and open-world scenarios remains a major bottleneck for large-scale deployment. To address this challenge, some works use LLMs and VLMs for…

Computer Vision and Pattern Recognition · Computer Science 2026-04-13 Hao Shao , Letian Wang , Yang Zhou , Yuxuan Hu , Zhuofan Zong , Steven L. Waslander , Wei Zhan , Hongsheng Li

Accurately tracking and predicting behaviors of surrounding objects are key prerequisites for intelligent systems such as autonomous vehicles to achieve safe and high-quality decision making and motion planning. However, there still remain…

Robotics · Computer Science 2020-03-31 Jiachen Li , Wei Zhan , Yeping Hu , Masayoshi Tomizuka

We report our recent progress towards building generalist robot policies, the development of GR-3. GR-3 is a large-scale vision-language-action (VLA) model. It showcases exceptional capabilities in generalizing to novel objects,…

Terrestrial and aerial bimodal vehicles have gained widespread attention due to their cross-domain maneuverability. Nevertheless, their bimodal dynamics significantly increase the complexity of motion planning and control, thus hindering…

Robotics · Computer Science 2024-03-04 Ruibin Zhang , Junxiao Lin , Yuze Wu , Yuman Gao , Chi Wang , Chao Xu , Yanjun Cao , Fei Gao

We analyze the capabilities of various recently developed techniques, namely Resistive Force Theory (RFT) and continuum plasticity implemented with the Material Point Method (MPM), in capturing dynamics of wheel--dry granular media…

Reliable autonomous driving relies on large-scale, well-labeled data and robust models. However, manual data collection is resource-intensive, and traditional simulation suffers from a persistent reality gap. While recent generative…

Computer Vision and Pattern Recognition · Computer Science 2026-05-14 Kaicong Huang , Talha Azfar , Weisong Shi , Ruimin Ke

In [1], a new modeling paradigm for developing rate-and-state-dependent, control-oriented friction models was introduced. The framework, termed Friction with Bristle Dynamics (FrBD), combines nonlinear analytical expressions for the…

Systems and Control · Electrical Eng. & Systems 2026-03-13 Luigi Romano , Ole Morten Aamo , Jan Åslund , Erik Frisk

Extending a recent effective theory formulation for the dynamics of kinks in the sine-Gordon model [1], we propose an analogous effective description of $\phi^4$ kinks. Three different reduced models based on the kink position, width and…

Pattern Formation and Solitons · Physics 2026-05-22 Jacek Gatlik , Tomasz Dobrowolski , Jean-Guy Caputo , Panayotis G. Kevrekidis

The use of learning-based methods for vehicle behavior prediction is a promising research topic. However, many publicly available data sets suffer from class distribution skews which limits learning performance if not addressed. This paper…

Robotics · Computer Science 2021-09-23 Theodor Westny , Erik Frisk , Björn Olofsson

In this paper, we develop a mechanical system inspired microscopic traffic model to characterize the longitudinal interaction dynamics among a chain of vehicles. In particular, we extend our prior work on mass-spring-damper-clutch based…

Systems and Control · Electrical Eng. & Systems 2020-12-08 Mohammad R. Hajidavalloo , Zhaojian Li , Dong Chen , Ali Louati , Shuo Feng , Wubing B. Qin

Modeling of human mobility is critical to address questions in urban planning and transportation, as well as global challenges in sustainability, public health, and economic development. However, our understanding and ability to model…

Physics and Society · Physics 2025-08-01 Oriol Cabanas-Tirapu , Lluís Danús , Esteban Moro , Marta Sales-Pardo , Roger Guimerà

Traffic simulators act as an essential component in the operating and planning of transportation systems. Conventional traffic simulators usually employ a calibrated physical car-following model to describe vehicles' behaviors and their…

Artificial Intelligence · Computer Science 2022-07-12 Guanjie Zheng , Hanyang Liu , Kai Xu , Zhenhui Li

Design of robots at the small scale is a trial-and-error based process, which is costly and time-consuming. There are few dynamic simulation tools available to accurately predict the motion or performance of untethered microrobots as they…

Robotics · Computer Science 2020-10-08 Jiayin Xie , Chenghao Bi , David J. Cappelleri , Nilanjan Chakraborty

Modeling dynamics is often the first step to making a vehicle autonomous. While on-road autonomous vehicles have been extensively studied, off-road vehicles pose many challenging modeling problems. An off-road vehicle encounters highly…

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