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Origin-destination (OD) demand matrices are crucial for transit agencies to design and operate transit systems. This paper presents a novel temporal Bayesian model designed to estimate transit OD matrices at the individual bus-journey level…

Applications · Statistics 2024-11-28 Xiaoxu Chen , Zhanhong Cheng , Lijun Sun

Estimation of origin-destination (OD) demand plays a key role in successful transportation studies. In this paper, we consider the estimation of time-varying day-to-day OD flows given data on traffic volumes in a transportation network for…

We address the problem of static OD matrix estimation from a formal statistical viewpoint. We adopt a novel Bayesian framework to develop a class of models that explicitly cast trip configurations in the study region as random variables. As…

Applications · Statistics 2015-03-17 Luis Carvalho

The estimation of the number of passengers with the identical journey is a common problem for public transport authorities. This problem is also known as the Origin- Destination estimation (OD) problem and it has been widely studied for the…

Applications · Statistics 2013-05-31 Adrien Ickowicz , Ross Sparks

Estimating Origin-Destination (OD) travel demand is vital for effective urban planning and traffic management. Developing universally applicable OD estimation methodologies is significantly challenged by the pervasive scarcity of…

Emerging Technologies · Computer Science 2025-07-02 Chao Zhang , Neha Arora , Christopher Bian , Yechen Li , Willa Ng , Andrew Tomkins , Bin Yan , Janny Zhang , Carolina Osorio

We investigate the problem of sampling from posterior distributions with intractable normalizing constants in Bayesian inference. Our solution is a new generative modeling approach based on optimal transport (OT) that learns a deterministic…

Computation · Statistics 2026-03-03 Ke Li , Wei Han , Yuexi Wang , Yun Yang

In this paper we present Poisson mixture approaches for origin-destination (OD) modeling in transportation analysis. We introduce covariate-based models which incorporate different transport modeling phases and also allow for direct…

Methodology · Statistics 2020-11-13 Konstantinos Perrakis , Dimitris Karlis , Mario Cools , Davy Janssens

Short-term origin-destination (OD) flow prediction in urban rail transit (URT) plays a crucial role in smart and real-time URT operation and management. Different from other short-term traffic forecasting methods, the short-term OD flow…

Signal Processing · Electrical Eng. & Systems 2021-01-06 Jinlei Zhang , Hongshu Che , Feng Chen , Wei Ma , Zhengbing He

Despite their successes, deep neural networks may make unreliable predictions when faced with test data drawn from a distribution different to that of the training data, constituting a major problem for AI safety. While this has recently…

Machine Learning · Computer Science 2020-07-16 Erik Daxberger , José Miguel Hernández-Lobato

In indirect measurements, the measurand is determined by solving an inverse problem which requires a model of the measurement process. Such models are often approximations and introduce systematic errors leading to a bias of the posterior…

Methodology · Statistics 2025-09-22 Maren Casfor , Philipp Trunschke , Sebastian Heidenreich , Nando Hegemann

The estimation of origin-destination (OD) matrices is a crucial aspect of Intelligent Transport Systems (ITS). It involves adjusting an initial OD matrix by regressing the current observations like traffic counts of road sections (e.g.,…

Artificial Intelligence · Computer Science 2023-10-10 Zheli Xiong , Defu Lian , Enhong Chen , Gang Chen , Xiaomin Cheng

This work proposes a Bayesian inference method for the reduced-order modeling of time-dependent systems. Informed by the structure of the governing equations, the task of learning a reduced-order model from data is posed as a Bayesian…

Numerical Analysis · Mathematics 2023-01-18 Mengwu Guo , Shane A. McQuarrie , Karen E. Willcox

Direction of arrival (DOA) estimation is a classical problem in signal processing with many practical applications. Its research has recently been advanced owing to the development of methods based on sparse signal reconstruction. While…

Applications · Statistics 2016-11-18 Zai Yang , Lihua Xie , Cishen Zhang

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

The Origin-Destination~(OD) networks provide an estimation of the flow of people from every region to others in the city, which is an important research topic in transportation, urban simulation, etc. Given structural regional urban…

Machine Learning · Computer Science 2023-06-12 Can Rong , Jingtao Ding , Zhicheng Liu , Yong Li

Express transportation network design is uncertain because origin--destination demand, travel time, operating cost, hub congestion, and realized sorting productivity vary over time. Existing multi-topology express network models usually…

Other Statistics · Statistics 2026-05-08 Debashis Chatterjee

We present a continuation method that entails generating a sequence of transition probability density functions from the prior to the posterior in the context of Bayesian inference for parameter estimation problems. The characterization of…

Computation · Statistics 2019-11-27 Ben Mansour Dia

The problem of detecting the Out-of-Distribution (OoD) inputs is of paramount importance for Deep Neural Networks. It has been previously shown that even Deep Generative Models that allow estimating the density of the inputs may not be…

Machine Learning · Statistics 2023-01-02 Misha Glazunov , Apostolis Zarras

In this paper we consider a network of agents monitoring a spatially distributed arrival process. Each node measures the number of arrivals seen at its monitoring point in a given time-interval with the objective of estimating the unknown…

Optimization and Control · Mathematics 2017-02-17 Angelo Coluccia , Giuseppe Notarstefano

Metro origin-destination prediction is a crucial yet challenging time-series analysis task in intelligent transportation systems, which aims to accurately forecast two specific types of cross-station ridership, i.e., Origin-Destination (OD)…

Machine Learning · Computer Science 2022-05-26 Lingbo Liu , Yuying Zhu , Guanbin Li , Ziyi Wu , Lei Bai , Liang Lin
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