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Markov branching systems form a fundamental class of stochastic models that are extensively applied in biology, physics, finance, and other domains. These systems are distinguished by their continuous-time evolution and inherent branching…

Mixed traffic flow consisting of vehicles equipped with adaptive cruise control (ACC) and manually driven vehicles is analyzed using car-following simulations. Unlike simulations that show suppression of jams due to increased string…

Computational Physics · Physics 2007-05-23 L. C. Davis

Deep learning (DL) methods have outperformed parametric models such as historical average, ARIMA and variants in predicting traffic variables into short and near-short future, that are critical for traffic management. Specifically,…

Machine Learning · Computer Science 2023-07-18 Agnimitra Sengupta , Adway Das , S. Ilgin Guler

A nonhomogeneous hidden semi-Markov model is proposed to segment toroidal time series according to a finite number of latent regimes and, simultaneously, estimate the influence of time-varying covariates on the process' survival under each…

Applications · Statistics 2023-12-25 Francesco Lagona , Marco Mingione

In the domain of autonomous vehicles (AVs), decision-making is a critical factor that significantly influences the efficacy of autonomous navigation. As the field progresses, the enhancement of decision-making capabilities in complex…

Robotics · Computer Science 2024-06-21 Jiaqi Liu , Shiyu Fang , Xuekai Liu , Lulu Guo , Peng Hang , Jian Sun

Motivated by the study of pollution trends in the city of Bergen, we introduce a flexible statistical framework for modeling multivariate air pollution data via a nonhomogeneous Hidden Semi-Markov Vector Auto-Regression. The hidden process…

In a real life process evolving over time, the relationship between its relevant variables may change. Therefore, it is advantageous to have different inference models for each state of the process. Asymmetric hidden Markov models fulfil…

Machine Learning · Computer Science 2023-05-16 Carlos Puerto-Santana , Pedro Larrañaga , Concha Bielza

In unsupervised classification, Hidden Markov Models (HMM) are used to account for a neighborhood structure between observations. The emission distributions are often supposed to belong to some parametric family. In this paper, a…

Machine Learning · Statistics 2012-06-25 Stevenn Volant , Caroline Bérard , Marie-Laure Martin-Magniette , Stéphane Robin

Two diversion schemes that apportion demand between two on-ramps to reduce congestion and improve throughput on a freeway are analyzed. In the first scheme, drivers choose to merge or to divert to a downstream on-ramp based on information…

Physics and Society · Physics 2008-11-12 L. C. Davis

This paper proposes an adaptive behavioral decision-making method for autonomous vehicles (AVs) focusing on complex merging scenarios. Leveraging principles from non-cooperative game theory, we develop a vehicle interaction behavior model…

Multiagent Systems · Computer Science 2024-03-19 Heye Huang , Jinxin Liu , Guanya Shi , Shiyue Zhao , Boqi Li , Jianqiang Wang

We present data from several German freeways showing different kinds of congested traffic forming near road inhomogeneities, specifically lane closings, intersections, or uphill gradients. The states are localized or extended, homogeneous…

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

In this paper, a minimalist, completely distributed freeway traffic information system is introduced. It involves an autonomous, vehicle-based jam front detection, the information transmission via inter-vehicle communication, and the…

Data Analysis, Statistics and Probability · Physics 2008-01-08 Martin Schönhof , Martin Treiber , Arne Kesting , Dirk Helbing

This paper presents an MFG-based decision-making framework for autonomous driving in heterogeneous traffic. To capture diverse human behaviors, we propose a quantitative driving style representation that maps abstract traits to parameters…

Robotics · Computer Science 2025-09-08 Liancheng Zheng , Zhen Tian , Yangfan He , Shuo Liu , Huilin Chen , Fujiang Yuan , Yanhong Peng

We propose a novel framework for enhancing robotic adaptability and learning efficiency, which integrates unsupervised trajectory segmentation with adaptive probabilistic movement primitives (ProMPs). By employing a cutting-edge deep…

Robotics · Computer Science 2024-05-01 Tianci Gao

This paper studies the traffic state estimation problem at signalized intersections with low penetration rate vehicle trajectory data. While many existing studies have proposed different methods to estimate unknown traffic states and…

Systems and Control · Electrical Eng. & Systems 2024-04-16 Xingmin Wang , Zihao Wang , Zachary Jerome , Henry X. Liu

Over the last decade, hidden Markov models (HMMs) have become increasingly popular in statistical ecology, where they constitute natural tools for studying animal behavior based on complex sensor data. Corresponding analyses sometimes…

Methodology · Statistics 2025-10-15 Jan-Ole Koslik , Carlina C. Feldmann , Sina Mews , Rouven Michels , Roland Langrock

Markov-switching models are a powerful tool for modelling time series data that are driven by underlying latent states. As such, they are widely used in behavioural ecology, where discrete states can serve as proxies for behavioural modes…

Methodology · Statistics 2025-08-26 Jan-Ole Koslik

Lane change decision-making is a complex task due to intricate vehicle-vehicle and vehicle-infrastructure interactions. Existing algorithms for lane-change control often depend on vehicles with a certain level of autonomy (e.g., autonomous…

Systems and Control · Electrical Eng. & Systems 2024-12-09 Ke Sun , Huan Yu

We consider a discrete latent variable model for two-way data arrays, which allows one to simultaneously produce clusters along one of the data dimensions (e.g. exchangeable observational units or features) and contiguous groups, or…

Recent research has paid little attention to complex driving behaviors, namely merging car-following and lane-changing behavior, and how lane-changing affects algorithms designed to model and control a car-following vehicle. During the…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Farzam Tajdari , Amin Rezasoltani