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We present an optimal mass transport framework on the space of Gaussian mixture models, which are widely used in statistical inference. Our method leads to a natural way to compare, interpolate and average Gaussian mixture models.…

Probability · Mathematics 2018-02-01 Yongxin Chen , Tryphon T. Georgiou , Allen Tannenbaum

A dynamic transit flow estimation model based on congested schedule-based transit equilibrium assignment is proposed using observations from stop count data. A solution algorithm is proposed for the mathematical program with schedule-based…

Computers and Society · Computer Science 2022-09-14 Qi Liu , Joseph Y. J. Chow

Travel time estimation is a fundamental problem in transportation science with extensive literature. The study of these techniques has intensified due to availability of many publicly available large trip datasets. Recently developed deep…

Agent behavior is arguably the greatest source of uncertainty in trajectory planning for autonomous vehicles. This problem has motivated significant amounts of work in the behavior prediction community on learning rich distributions of the…

Robotics · Computer Science 2020-07-16 Allen Wang , Ashkan Jasour , Brian Williams

Accurate and reliable traffic forecasting for complicated transportation networks is of vital importance to modern transportation management. The complicated spatial dependencies of roadway links and the dynamic temporal patterns of traffic…

Machine Learning · Computer Science 2018-11-13 Xiaolei Ma , Yi Li , Zhiyong Cui , Yinhai Wang

Given two probability measures on sequential data, we investigate the transport problem with time-inconsistent preferences in a discrete-time setting. Motivating examples are nonlinear objectives, state-dependent costs, and regularized…

Optimization and Control · Mathematics 2025-06-23 Erhan Bayraktar , Bingyan Han

We develop a probabilistic framework for global modeling of the traffic over a computer network. This model integrates existing single-link (-flow) traffic models with the routing over the network to capture the global traffic behavior. It…

Networking and Internet Architecture · Computer Science 2010-05-25 Stilian A. Stoev , George Michailidis , Joel Vaughan

We survey recent advances in algorithms for route planning in transportation networks. For road networks, we show that one can compute driving directions in milliseconds or less even at continental scale. A variety of techniques provide…

Data Structures and Algorithms · Computer Science 2015-04-21 Hannah Bast , Daniel Delling , Andrew Goldberg , Matthias Müller-Hannemann , Thomas Pajor , Peter Sanders , Dorothea Wagner , Renato F. Werneck

The lack of GPS data limits the ability to reconstruct the actual routes taken by cyclists in urban areas. This article introduces an inference method based solely on trip durations and origin-destination pairs from bike-sharing system…

Applications · Statistics 2025-12-18 Bertrand Jouve , Paul Rochet , Mohamadou Salifou

We develop theoretical foundations and practical algorithms for vehicle routing with time-dependent travel times. We also provide new benchmark instances and experimental results. First, we study basic operations on piecewise linear arrival…

Data Structures and Algorithms · Computer Science 2024-03-26 Jannis Blauth , Stephan Held , Dirk Müller , Niklas Schlomberg , Vera Traub , Thorben Tröbst , Jens Vygen

Reliability plays a key role in the experience of a rail traveler. The reliability of journeys involving transfers is affected by the reliability of the transfers and the consequences of missing a transfer, as well as the possible delay of…

Applications · Statistics 2025-04-25 Nikolaus Stratil-Sauer , Nils Breyer

We study the analysis of all the movements of the population on the basis of their mobility from one node to another, to observe, measure, and predict the impact of traffic according to this mobility. The frequency of congestion on roads…

Physics and Society · Physics 2024-11-14 Henock M. Mboko , Mouhamadou A. M. T. Balde , Babacar M. Ndiaye

This paper presents an effective framework for estimating time of arrival of vehicles (buses) in an Intelligent Transit Management System (ITMS) having sparse position updates. Our contributions towards this is firstly in implementing a…

Systems and Control · Electrical Eng. & Systems 2023-11-22 Shivika Sharma , Nandini Mawane , Dhruthick Gowda M , Mayur Taware , Chetan Kumar , Yash Chandrashekhar Dixit , Rakshit Ramesh

Persuasive scholarship presents how individual daily travel habits implicate congestion, environmental pollution, and the travel experience. However, the empirical characteristics and dynamics of travel habits remain poorly understood.…

Physics and Society · Physics 2025-05-07 Jiwon Kim , Jonathan Corcoran

Probabilistic model checking for systems with large or unbounded state space is a challenging computational problem in formal modelling and its applications. Numerical algorithms require an explicit representation of the state space, while…

Logic in Computer Science · Computer Science 2018-06-12 Dimitrios Milios , Guido Sanguinetti , David Schnoerr

We address the problem of modeling and prediction of a set of temporal events in the context of intelligent transportation systems. To leverage the information shared by different events, we propose a multi-task learning framework. We…

Machine Learning · Computer Science 2017-12-25 Boris Chidlovskii

Motivated by the problem of predicting sleep states, we develop a mixed effects model for binary time series with a stochastic component represented by a Gaussian process. The fixed component captures the effects of covariates on the…

Methodology · Statistics 2018-10-23 Xu Gao , Babak Shahbaba , Hernando Ombao

This paper focuses on the routing algorithm for the communications between vehicles and places in urban VANET. As one of the basic transportation facilities in an urban setting, buses periodically run along their fixed routes and widely…

Networking and Internet Architecture · Computer Science 2018-04-10 Gang Sun , Yijing Zhang , Dan Liao , Hongfang Yu , Xiaojiang Du , Mohsen Guizani

Continued great efforts have been dedicated towards high-quality trajectory generation based on optimization methods, however, most of them do not suitably and effectively consider the situation with moving obstacles; and more particularly,…

Systems and Control · Electrical Eng. & Systems 2020-08-05 Xiaoxue Zhang , Jun Ma , Zilong Cheng , Sunan Huang , Shuzhi Sam Ge , Tong Heng Lee

Improved communication systems, shrinking battery sizes and the price drop of tracking devices have led to an increasing availability of trajectory tracking data. These data are often analyzed to understand animal behavior. In this work, we…

Applications · Statistics 2019-09-12 Gianluca Mastrantonio , Clara Grazian , Sara Mancinelli , Enrico Bibbona
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