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In this work, we introduce an optimal transport framework for inferring power distributions over both spatial location and temporal frequency. Recently, it has been shown that optimal transport is a powerful tool for estimating spatial…

Optimization and Control · Mathematics 2024-03-01 Isabel Haasler , Filip Elvander

We propose new probabilistic models for the spatial distribution of supply and demand and use the models to determine how the trip length distribution is affected by the relative shortage or excess of supply, the spatial clustering of…

Data Analysis, Statistics and Probability · Physics 2011-01-20 Daniele Veneziano , Marta C. Gonzalez

As an important information for traffic condition evaluation, trip planning, transportation management, etc., average travel speed for a road means the average speed of vehicles travelling through this road in a given time duration.…

Other Computer Science · Computer Science 2015-04-27 Lu Shao , Cheng Wang , Changjun Jiang

Most optimal routing problems focus on minimizing travel time or distance traveled. Oftentimes, a more useful objective is to maximize the probability of on-time arrival, which requires statistical distributions of travel times, rather than…

Origin-Destination (O-D) travel demand prediction is a fundamental challenge in transportation. Recently, spatial-temporal deep learning models demonstrate the tremendous potential to enhance prediction accuracy. However, few studies…

Machine Learning · Computer Science 2022-08-17 Dingyi Zhuang , Shenhao Wang , Haris N. Koutsopoulos , Jinhua Zhao

Travel time estimation is an important component in modern transportation applications. The state of the art techniques for travel time estimation use GPS traces to learn the weights of a road network, often modeled as a directed graph,…

Physics and Society · Physics 2020-06-18 Sofiane Abbar , Rade Stanojevic , Mohamed Mokbel

This paper introduces a new transformer-based model for the problem of travel time estimation. The key feature of the proposed GCT-TTE architecture is the utilization of different data modalities capturing different properties of an input…

Artificial Intelligence · Computer Science 2023-10-17 Vladimir Mashurov , Vaagn Chopurian , Vadim Porvatov , Arseny Ivanov , Natalia Semenova

Understanding Origin-Destination (O-D) travel demand is crucial for transportation management. However, traditional spatial-temporal deep learning models grapple with addressing the sparse and long-tail characteristics in high-resolution…

Machine Learning · Computer Science 2024-02-01 Xinke Jiang , Dingyi Zhuang , Xianghui Zhang , Hao Chen , Jiayuan Luo , Xiaowei Gao

We present a generic framework for spatio-temporal (ST) data modeling, analysis, and forecasting, with a special focus on data that is sparse in both space and time. Our multi-scaled framework is a seamless coupling of two major components:…

Machine Learning · Computer Science 2018-04-04 Bao Wang , Xiyang Luo , Fangbo Zhang , Baichuan Yuan , Andrea L. Bertozzi , P. Jeffrey Brantingham

Discovering patterns and detecting anomalies in individual travel behavior is a crucial problem in both research and practice. In this paper, we address this problem by building a probabilistic framework to model individual spatiotemporal…

Social and Information Networks · Computer Science 2021-06-15 Lijun Sun , Xinyu Chen , Zhaocheng He , Luis F. Miranda-Moreno

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

Urban traffic congestion remains a persistent issue for cities worldwide. Recent macroscopic models have adopted a mathematically well-defined relation between network flow and density to characterize traffic states over an urban region.…

Optimization and Control · Mathematics 2024-02-09 Mostafa Ameli , Jean-Patrick Lebacque , Negin Alisoltani , Ludovic Leclercq

This paper presents a modeling approach to infer scheduling and routing patterns from digital freight transport activity data for different freight markets. We provide a complete modeling framework including a new discrete-continuous…

Machine Learning · Computer Science 2023-11-28 Ali Nadi , Lóránt Tavasszy , J. W. C. van Lint , Maaike Snelder

This paper systematically explores the advancements in adaptive trip route planning and travel time estimation (TTE) through Artificial Intelligence (AI). With the increasing complexity of urban transportation systems, traditional…

Artificial Intelligence · Computer Science 2025-04-01 Nikil Jayasuriya , Deshan Sumanathilaka

In this work, we present a theoretical and computational framework for constructing stochastic transport maps between probability distributions using diffusion processes. We begin by proving that the time-marginal distribution of the sum of…

Probability · Mathematics 2025-03-27 Xicheng Zhang

Accurate Traffic Prediction is a challenging task in intelligent transportation due to the spatial-temporal aspects of road networks. The traffic of a road network can be affected by long-distance or long-term dependencies where existing…

Machine Learning · Computer Science 2024-04-10 Zhengyang Zhao , Haitao Yuan , Nan Jiang , Minxiao Chen , Ning Liu , Zengxiang Li

Accurate forecasting of bus travel time and its uncertainty is critical to service quality and operation of transit systems; for example, it can help passengers make better decisions on departure time, route choice, and even transport mode…

Applications · Statistics 2022-06-15 Xiaoxu Chen , Zhanhong Cheng , Jian Gang Jin , Martin Trepanier , Lijun Sun

This article concerns the predictive modeling for spatio-temporal data as well as model interpretation using data information in space and time. We develop a novel approach based on supervised dimension reduction for such data in order to…

Methodology · Statistics 2021-11-09 Heng-Hui Lue , ShengLi Tzeng

Uncertainty quantification in travel time estimation (TTE) aims to estimate the confidence interval for travel time, given the origin (O), destination (D), and departure time (T). Accurately quantifying this uncertainty requires generating…

Artificial Intelligence · Computer Science 2025-01-22 Xiaowei Mao , Yan Lin , Shengnan Guo , Yubin Chen , Xingyu Xian , Haomin Wen , Qisen Xu , Youfang Lin , Huaiyu Wan

En Route Travel Time Estimation (ER-TTE) aims to learn driving patterns from traveled routes to achieve rapid and accurate real-time predictions. However, existing methods ignore the complexity and dynamism of real-world traffic systems,…

Machine Learning · Computer Science 2025-01-28 Zhihan Zheng , Haitao Yuan , Minxiao Chen , Shangguang Wang