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Minimum flow decomposition (MFD) is the NP-hard problem of finding a smallest decomposition of a network flow/circulation $X$ on a directed graph $G$ into weighted source-to-sink paths whose superposition equals $X$. We show that, for…

Data Structures and Algorithms · Computer Science 2023-05-11 Manuel Cáceres , Massimo Cairo , Andreas Grigorjew , Shahbaz Khan , Brendan Mumey , Romeo Rizzi , Alexandru I. Tomescu , Lucia Williams

Most network partitioning methods for Macroscopic Fundamental Diagram are mostly based on a normalized cut mechanism, which takes the traffic statistics of each link, e.g. link volume, speed or density, as input to calculate the degree of…

Numerical Analysis · Mathematics 2020-11-19 Kang An , Xianbiao Hu , Xiaohong Chen

In this paper, we present a compressed data structure for moving object trajectories in a road network, which are represented as sequences of road edges. Unlike existing compression methods for trajectories in a network, our method supports…

Data Structures and Algorithms · Computer Science 2017-10-02 Satoshi Koide , Yukihiro Tadokoro , Chuan Xiao , Yoshiharu Ishikawa

We consider a class of optimal control problems for measure-valued nonlinear transport equations describing traffic flow problems on networks. The objective isto minimise/maximise macroscopic quantities, such as traffic volume or average…

Optimization and Control · Mathematics 2019-11-11 Simone Cacace , Fabio Camilli , Raul De Maio , Andrea Tosin

Mobility trajectories are essential for understanding urban dynamics and enhancing urban planning, yet access to such data is frequently hindered by privacy concerns. This research introduces a transformative framework for generating…

Traffic prediction is a fundamental and vital task in Intelligence Transportation System (ITS), but it is very challenging to get high accuracy while containing low computational complexity due to the spatiotemporal characteristics of…

Artificial Intelligence · Computer Science 2018-11-05 Xiaoyu Wang , Cailian Chen , Yang Min , Jianping He , Bo Yang , Yang Zhang

Trajectory data mining is crucial for smart city management. However, collecting large-scale trajectory datasets is challenging due to factors such as commercial conflicts and privacy regulations. Therefore, we urgently need trajectory…

Machine Learning · Computer Science 2025-02-04 Jingyuan Wang , Yujing Lin , Yudong Li

Traffic flow is a very prominent example of a driven non-equilibrium system. A characteristic phenomenon of traffic dynamics is the spontaneous and abrupt drop of the average velocity on a stretch of road leading to congestion. Such a…

Physics and Society · Physics 2012-10-29 Florian Knorr , Michael Schreckenberg

We consider the traffic data reconstruction problem. Suppose we have the traffic data of an entire city that are incomplete because some road data are unobserved. The problem is to reconstruct the unobserved parts of the data. In this…

Machine Learning · Statistics 2014-02-07 Shun Kataoka , Muneki Yasuda , Cyril Furtlehner , Kazuyuki Tanaka

Trajectory representation learning (TRL) aims to encode raw trajectory data into low-dimensional embeddings for downstream tasks such as travel time estimation, mobility prediction, and trajectory similarity analysis. From a behavioral…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Ji Cao , Yu Wang , Tongya Zheng , Jie Song , Qinghong Guo , Zujie Ren , Canghong Jin , Gang Chen , Mingli Song

Traffic flow prediction (TFP) is a fundamental problem of the Intelligent Transportation System (ITS), as it models the latent spatial-temporal dependency of traffic flow for potential congestion prediction. Recent graph-based models with…

Machine Learning · Computer Science 2023-08-02 Ying Yang , Kai Du , Xingyuan Dai , Jianwu Fang

In this paper we carry out a computational study of a novel microscopic follow-the-leader model for traffic flow on road networks. We assume that each driver has its own origin and destination, and wants to complete its journey in minimal…

Optimization and Control · Mathematics 2025-11-19 Emiliano Cristiani , Francesca L. Ignoto

The widespread use of positioning devices (e.g., GPS) has given rise to a vast body of human movement data, often in the form of trajectories. Understanding human mobility patterns could benefit many location-based applications. In this…

Social and Information Networks · Computer Science 2020-03-18 Meng Chen , Xiaohui Yu , Yang Liu

Human mobility in an urban area is complicated; the origins, destinations, and transport methods of each person differ. The quantitative description of urban human mobility has recently attracted the attention of researchers, and it highly…

Physics and Society · Physics 2024-04-01 Zhihua Zhong , Hideki Tayakasu , Misako Takayasu

Representing the movements of objects (trips) over a network in a compact way while retaining the capability of exploiting such data effectively is an important challenge of real applications. We present a new Compact Trip Representation…

Data Structures and Algorithms · Computer Science 2019-01-01 Nieves R. Brisaboa , Antonio Fariña , Daniil Galaktionov , M. Andrea Rodriguez

Trajectory representation learning (TRL) maps trajectories to vectors that can be used for many downstream tasks. Existing TRL methods use either grid trajectories, capturing movement in free space, or road trajectories, capturing movement…

Machine Learning · Computer Science 2024-11-25 Silin Zhou , Shuo Shang , Lisi Chen , Peng Han , Christian S. Jensen

Graphs are often used to organize data because of their simple topological structure, and therefore play a key role in machine learning. And it turns out that the low-dimensional embedded representation obtained by graph representation…

Machine Learning · Computer Science 2021-01-05 Xing Li , Wei Wei , Xiangnan Feng , Zhiming Zheng

Tor is a widely used anonymity network that conceals user identities by routing traffic through encrypted relays, yet it remains vulnerable to traffic correlation attacks that deanonymize users by matching patterns in ingress and egress…

Cryptography and Security · Computer Science 2025-12-02 Binghui Wu , Dinil Mon Divakaran , Levente Csikor , Mohan Gurusamy

Traffic forecasting is crucial for urban traffic management and guidance. However, existing methods rarely exploit the time-frequency properties of traffic speed observations, and often neglect the propagation of traffic flows from upstream…

Computer Vision and Pattern Recognition · Computer Science 2019-04-16 Na Zhang , Xuefeng Guan , Jun Cao , Xinglei Wang , Huayi Wu

Vehicular trajectory data from geolocation telematics is vital for analyzing urban mobility patterns. Map-matching aligns noisy, sparsely sampled GPS trajectories with digital road maps to reconstruct accurate vehicle paths. Traditional…

Artificial Intelligence · Computer Science 2025-03-11 Sevin Mohammadi , Andrew W. Smyth