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Estimating dynamic Origin-Destination (OD) traffic flow is crucial for understanding traffic patterns and the traffic network. While dynamic origin-destination estimation (DODE) has been studied for decades as a useful tool for estimating…

Optimization and Control · Mathematics 2024-01-22 Han Yu , Suyanpeng Zhang , Sze-chuan Suen , Maged Dessouky , Fernando Ordonez

Traditional network models encapsulate travel behavior among all origin-destination pairs based on a simplified and generic utility function. Typically, the utility function consists of travel time solely and its coefficients are equated to…

Applications · Statistics 2022-04-26 Pablo Guarda , Sean Qian

Accurately estimating Origin-Destination (OD) matrices is a topic of increasing interest for efficient transportation network management and sustainable urban planning. Traditionally, travel surveys have supported this process; however,…

Applications · Statistics 2023-12-14 Greta Galliani , Piercesare Secchi , Francesca Ieva

The paper presents an approach to estimate Origin-Destination (OD) flows and their path splits, based on traffic counts on links in the network. The approach called Compressive Origin-Destination Estimation (CODE) is inspired by Compressive…

Systems and Control · Computer Science 2014-07-23 Borhan M. Sanandaji , Pravin P. Varaiya

Disruptions are an inherent feature of transportation systems, occurring unpredictably and with varying durations. Even after an incident is reported as resolved, disruptions can induce irregular train operations that generate substantial…

This paper studies the problem of estimating origin-destination (OD) flows from link flows. As the number of link flows is typically much less than that of OD flows, the inverse problem is severely ill-posed and hence prior information is…

Computational Engineering, Finance, and Science · Computer Science 2018-10-16 Jingyuan Xia , Wei Dai , John Polak , Michel Bierlaire

OD matrix estimation is a critical problem in the transportation domain. The principle method uses the traffic sensor measured information such as traffic counts to estimate the traffic demand represented by the OD matrix. The problem is…

Machine Learning · Computer Science 2023-07-13 Zheli Xiong , Defu Lian , Enhong Chen , Gang Chen , Xiaomin Cheng

Ordinary differential equations (ODEs) are used to model dynamic systems appearing in engineering, physics, biomedical sciences and many other fields. These equations contain unknown parameters, say $\theta$ of physical significance which…

Statistics Theory · Mathematics 2014-03-05 Prithwish Bhaumik , Subhashis Ghosal

Statistical models can involve implicitly defined quantities, such as solutions to nonlinear ordinary differential equations (ODEs), that unavoidably need to be numerically approximated in order to evaluate the model. The approximation…

Computation · Statistics 2024-09-16 Juho Timonen , Nikolas Siccha , Ben Bales , Harri Lähdesmäki , Aki Vehtari

Discrete optimal transportation problems arise in various contexts in engineering, the sciences and the social sciences. Often the underlying cost criterion is unknown, or only partly known, and the observed optimal solutions are corrupted…

Optimization and Control · Mathematics 2019-05-13 Andrew M. Stuart , Marie-Therese Wolfram

We research relations between optimal transport theory (OTT) and approximate Bayesian computation (ABC) possibly connected to relevant metrics defined on probability measures. Those of ABC are computational methods based on Bayesian…

Statistics Theory · Mathematics 2021-05-06 Marco Tarsia , Antonietta Mira , Daniele Cassani

Understanding travel demand and behavior, particularly route and mode choices, is critical for effective transportation planning and policy design in multi-modal systems with emerging mobility options. Multi-modal system-level data, such as…

Systems and Control · Electrical Eng. & Systems 2026-03-04 Xiaoyu Ma , Sean Qian

Short-term OD flow (i.e. the number of passenger traveling between stations) prediction is crucial to traffic management in metro systems. Due to the delayed effect in latest complete OD flow collection, complex spatiotemporal correlations…

Artificial Intelligence · Computer Science 2022-10-19 Jiexia Ye , Juanjuan Zhao , Furong Zheng , Chengzhong Xu

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

Existing work has tackled the problem of estimating Origin-Destination (OD) demands and recovering travel latency functions in transportation networks under the Wardropian assumption. The ultimate objective is to derive an accurate…

Optimization and Control · Mathematics 2020-07-10 Salomón Wollenstein-Betech , Chuangchuang Sun , Jing Zhang , Ioannis Ch. Paschalidis

System-level decision making in transportation needs to understand day-to-day variation of network flows, which calls for accurate modeling and estimation of probabilistic dynamic travel demand on networks. Most existing studies estimate…

Systems and Control · Electrical Eng. & Systems 2022-04-21 Wei Ma , Sean Qian

This work proposes a statistically enhanced framework to address the instability and limited predictive capability of conventional Galerkin-Proper Orthogonal Decomposition (Galerkin-POD) models. The method reformulates the correction of the…

Fluid Dynamics · Physics 2026-04-15 Bijie Yang , Chengyuan Liu , Lu Tian , Yuping Qian , Mingyang Yang

In urban settings, bus transit stands as a significant mode of public transportation, yet faces hurdles in delivering accurate and reliable arrival times. This discrepancy often culminates in delays and a decline in ridership, particularly…

Machine Learning · Computer Science 2024-03-05 Narges Rashvand , Sanaz Sadat Hosseini , Mona Azarbayjani , Hamed Tabkhi

We consider stochastic optimization under distributional uncertainty, where the unknown distributional parameter is estimated from streaming data that arrive sequentially over time. Moreover, data may depend on the decision of the time when…

Optimization and Control · Mathematics 2023-10-17 Tianyi Liu , Yifan Lin , Enlu Zhou

In an indirect Gaussian sequence space model lower and upper bounds are derived for the concentration rate of the posterior distribution of the parameter of interest shrinking to the parameter value $\theta^\circ$ that generates the data.…

Statistics Theory · Mathematics 2015-02-03 Jan Johannes , Anna Simoni , Rudolf Schenk