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Hybrid Monte Carlo (HMC) generates samples from a prescribed probability distribution in a configuration space by simulating Hamiltonian dynamics, followed by the Metropolis (-Hastings) acceptance/rejection step. Compressible HMC (CHMC)…

Computational Physics · Physics 2016-04-05 Akihiko Nishimura , David Dunson

Multi-Target Multi-Camera (MTMC) vehicle tracking is an essential task of visual traffic monitoring, one of the main research fields of Intelligent Transportation Systems. Several offline approaches have been proposed to address this task;…

Computer Vision and Pattern Recognition · Computer Science 2021-02-09 Elena Luna , Juan C. SanMiguel , Jose M. Martínez , Marcos Escudero-Viñolo

This paper proposes a novel metric for Human Motion Prediction (HMP). Since a single past sequence can lead to multiple possible futures, a probabilistic HMP method predicts such multiple motions. While a single motion predicted by a…

Computer Vision and Pattern Recognition · Computer Science 2025-11-20 Kyotaro Tokoro , Hiromu Taketsugu , Norimichi Ukita

With the increasing presence of autonomous vehicles (AVs) on public roads, developing robust control strategies to navigate the uncertainty of human-driven vehicles (HVs) is crucial. This paper introduces an advanced method for modeling HV…

Robotics · Computer Science 2024-04-11 Jie Wang , Yash Vardhan Pant , Lei Zhao , Michał Antkiewicz , Krzysztof Czarnecki

Decision making in advanced driver assistance systems involves in general the estimated trajectories of the surrounding objects. Multiple object tracking refers to the process of estimating in real time these trajectories, leveraging for…

Robotics · Computer Science 2023-05-03 Sourav Sinha , Mazen Farhood

We propose a Stochastic MPC (SMPC) formulation for autonomous driving at traffic intersections which incorporates multi-modal predictions of surrounding vehicles for collision avoidance constraints. The multi-modal predictions are obtained…

Systems and Control · Electrical Eng. & Systems 2022-03-01 Siddharth H. Nair , Vijay Govindarajan , Theresa Lin , Chris Meissen , H. Eric Tseng , Francesco Borrelli

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

This paper proposes a novel framework for addressing the challenge of autonomous overtaking and obstacle avoidance, which incorporates the overtaking path planning into Gaussian Process-based model predictive control (GPMPC). Compared with…

Robotics · Computer Science 2021-01-26 Wenjun Liu , Chang Liu , Guang Chen , Peng Hang , Alois Knoll

Model comparison for the purposes of selection, averaging and validation is a problem found throughout statistics. Within the Bayesian paradigm, these problems all require the calculation of the posterior probabilities of models within a…

Methodology · Statistics 2015-06-08 Yan Zhou , Adam M Johansen , John A D Aston

The full deployment of autonomous driving systems on a worldwide scale requires that the self-driving vehicle be operated in a provably safe manner, i.e., the vehicle must be able to avoid collisions in any possible traffic situation. In…

Robotics · Computer Science 2023-05-08 Ivo Batkovic , Ankit Gupta , Mario Zanon , Paolo Falcone

As autonomous vehicles (AVs) become more common on public roads, their interaction with human-driven vehicles (HVs) in mixed traffic is inevitable. This requires new control strategies for AVs to handle the unpredictable nature of HVs. This…

Robotics · Computer Science 2024-04-03 Jie Wang , Zhihao Jiang , Yash Vardhan Pant

Motion planning for autonomous driving must account for multi-modal uncertainty in both the intentions and trajectories of surrounding vehicles. Handling uncertainty in a worst-case manner guarantees robustness but often leads to excessive…

Robotics · Computer Science 2026-05-22 Zekun Xing , Ramkrishna Chaudhari , Marion Leibold , Dirk Wollherr , Martin Buss

To efficiently deploy robotic systems in society, mobile robots must move autonomously and safely through complex environments. Nonlinear model predictive control (MPC) methods provide a natural way to find a dynamically feasible trajectory…

Model predictive control (MPC) is widely used for path tracking of autonomous vehicles due to its ability to handle various types of constraints. However, a considerable predictive error exists because of the error of mathematics model or…

Robotics · Computer Science 2020-07-21 Chaoyang Jiang , Hanqing Tian , Jibin Hu , Jiankun Zhai , Chao Wei , Jun Ni

We propose a Stochastic MPC (SMPC) formulation for path planning with autonomous vehicles in scenarios involving multiple agents with multi-modal predictions. The multi-modal predictions capture the uncertainty of urban driving in distinct…

Robotics · Computer Science 2023-11-01 Siddharth H. Nair , Hotae Lee , Eunhyek Joa , Yan Wang , H. Eric Tseng , Francesco Borrelli

Credible microscopic traffic simulation requires car-following models that capture both the average response and the substantial variability observed across drivers and situations. However, most data-driven calibrations remain…

Applications · Statistics 2026-02-06 Menglin Kong , Chengyuan Zhang , Lijun Sun

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…

Hamiltonian Monte Carlo (HMC) has emerged as a powerful Markov Chain Monte Carlo (MCMC) method to sample from complex continuous distributions. However, a fundamental limitation of HMC is that it can not be applied to distributions with…

Computation · Statistics 2021-12-10 Guangyao Zhou

Model Predictive Control (MPC) has been widely applied to the motion planning of autonomous vehicles. An MPC-controlled vehicle is required to predict its own trajectories in a finite prediction horizon according to its model. Beyond this,…

Robotics · Computer Science 2023-10-05 Ni Dang , Zengjie Zhang , Jizheng Liu , Marion Leibold , Martin Buss

The rising presence of autonomous vehicles (AVs) on public roads necessitates the development of advanced control strategies that account for the unpredictable nature of human-driven vehicles (HVs). This study introduces a learning-based…

Robotics · Computer Science 2024-04-09 Jie Wang , Yash Vardhan Pant , Zhihao Jiang