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Planning for autonomous driving in complex, urban scenarios requires accurate prediction of the trajectories of surrounding traffic participants. Their future behavior depends on their route intentions, the road-geometry, traffic rules and…

Robotics · Computer Science 2018-08-29 Jens Schulz , Constantin Hubmann , Julian Löchner , Darius Burschka

In this paper, we consider a distributed model predictive control (MPC) algorithm for coordinated path-following. Relying on the time-critical cooperative path-following framework, which decouples space and time and reduces the coordination…

Dynamical Systems · Mathematics 2026-03-27 Lusine Poghosyan , Anna Manucharyan , Mikayel Aramyan , Naira Hovakimyan , Tigran Bakaryan

Providing transport users and operators with accurate forecasts on travel times is challenging due to a highly stochastic traffic environment. Public transport users are particularly sensitive to unexpected waiting times, which negatively…

Applications · Statistics 2022-02-25 Hector Rodriguez-Deniz , Mattias Villani

Motivated by the need to study the molecular mechanism underlying Type 1 Diabetes (T1D) with the gene expression data collected from both the patients and healthy controls at multiple time points, we propose an innovative method for jointly…

Methodology · Statistics 2018-12-10 Bochao Jia , Faming Liang , the TEDDY Study Group

Spatial-temporal prediction is a critical problem for intelligent transportation, which is helpful for tasks such as traffic control and accident prevention. Previous studies rely on large-scale traffic data collected from sensors. However,…

Machine Learning · Computer Science 2021-08-24 Chung-Yi Lin , Hung-Ting Su , Shen-Lung Tung , Winston H. Hsu

In the setting of a recently developed cellular stochastic traffic flow model, it has shown that the joint per-cell vehicle densities, as a function of time, can be accurately approximated by a Gaussian process, which has the attractive…

Optimization and Control · Mathematics 2020-07-16 Michel Mandjes , Jaap Storm

Using the growing volumes of vehicle trajectory data, it becomes increasingly possible to capture time-varying and uncertain travel costs in a road network, including travel time and fuel consumption. The current paradigm represents a road…

Databases · Computer Science 2015-12-07 Jian Dai , Bin Yang , Chenjuan Guo , Christian S. Jensen

While logistic regression models are easily accessible to researchers, when applied to network data there are unrealistic assumptions made about the dependence structure of the data. For temporal networks measured in discrete time, recent…

Methodology · Statistics 2020-05-20 Daniel K. Sewell

Understanding network flows such as commuter traffic in large transportation networks is an ongoing challenge due to the complex nature of the transportation infrastructure and of human mobility. Here we show a first-principles based method…

Physics and Society · Physics 2014-10-21 Yihui Ren , Mária Ercsey-Ravasz , Pu Wang , Marta C. González , Zoltán Toroczkai

To provide a more accurate description of the driving behaviors in vehicle queues, a namely Markov-Gap cellular automata model is proposed in this paper. It views the variation of the gap between two consequent vehicles as a Markov process…

Data Analysis, Statistics and Probability · Physics 2009-04-23 Fa Wang , Li Li , Jianming Hu , Yan Ji , Danya Yao , Yi Zhang , Xuexiang Jin , Yuelong Su , Zheng Wei

We tackle the problem of trajectory planning in an environment comprised of a set of obstacles with uncertain time-varying locations. The uncertainties are modeled using widely accepted Gaussian distributions, resulting in a…

Systems and Control · Electrical Eng. & Systems 2021-08-16 Vasileios Lefkopoulos , Maryam Kamgarpour

The time-evolving precision matrix of a piecewise-constant Gaussian graphical model encodes the dynamic conditional dependency structure of a multivariate time-series. Traditionally, graphical models are estimated under the assumption that…

Methodology · Statistics 2017-11-01 Alexander J. Gibberd , James D. B. Nelson

In this work, we derived a transport equation based on a generalized equation of time-dependent generator coordinate method (TDGCM) under the Gaussian overlap approximation (GOA). The transport equation is obtained by using…

Nuclear Theory · Physics 2023-01-03 Fangyuan Wang , Yingxun Zhang , Zhipan Li

Computing the distribution of trajectories from a Gaussian Process model of a dynamical system is an important challenge in utilizing such models. Motivated by the computational cost of sampling-based approaches, we consider approximations…

Machine Learning · Statistics 2023-05-16 Steffen Ridderbusch , Sina Ober-Blöbaum , Paul Goulart

This paper presents a new simulation-based approach to address the stochastic Dynamic Traffic Assignment (DTA) problem, focusing on large congested networks and dynamic settings. The proposed methodology incorporates a random walk model…

Multiagent Systems · Computer Science 2023-11-22 Kaveh Khoshkhah , Mozhgan Pourmoradnasseri , Sadok Ben Yahia , Amnir Hadachi

Experimentally observed networks of interacting dynamical systems are inferred from recorded multivariate time series by evaluating a statistical measure of dependence, usually the cross-correlation coefficient, or mutual information. These…

Data Analysis, Statistics and Probability · Physics 2017-07-03 Milan Palus

We present a new transport-based approach to efficiently perform sequential Bayesian inference of static model parameters. The strategy is based on the extraction of conditional distribution from the joint distribution of parameters and…

Methodology · Statistics 2023-08-29 Paul-Baptiste Rubio , Youssef Marzouk , Matthew Parno

This paper proposes an iterative methodology to integrate large-scale behavioral activity-based models with dynamic traffic assignment models. The main novelty of the proposed approach is the decoupling of the two parts, allowing the…

Computers and Society · Computer Science 2024-04-12 Serio Agriesti , Claudio Roncoli , Bat-hen Nahmias-Biran

Accurate travel time estimation is essential for navigation and itinerary planning. While existing research employs probabilistic modeling to assess travel time uncertainty and account for correlations between multiple trips, modeling the…

Machine Learning · Computer Science 2024-11-28 Chen Xu , Qiang Wang , Lijun Sun

Bayesian networks are powerful statistical models to study the probabilistic relationships among set random variables with major applications in disease modeling and prediction. Here, we propose a continuous time Bayesian network with…

Machine Learning · Computer Science 2021-07-16 Syed Hasib Akhter Faruqui , Adel Alaeddini , Jing Wang , Carlos A. Jaramillo