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In the backbone of large-scale networks, origin-to-destination (OD) traffic flows experience abrupt unusual changes known as traffic volume anomalies, which can result in congestion and limit the extent to which end-user quality of service…

Networking and Internet Architecture · Computer Science 2013-10-01 Morteza Mardani , Gonzalo Mateos , Georgios B. Giannakis

Network traffic matrix estimation is an ill-posed linear inverse problem: it requires to estimate the unobservable origin destination traffic flows, X, given the observable link traffic flows, Y, and a binary routing matrix, A, which are…

Networking and Internet Architecture · Computer Science 2021-12-20 Syed Muhammad Atif , Nicolas Gillis , Sameer Qazi , Imran Naseem

This paper addresses network anomography, that is, the problem of inferring network-level anomalies from indirect link measurements. This problem is cast as a low-rank subspace tracking problem for normal flows under incomplete…

Networking and Internet Architecture · Computer Science 2018-06-21 Hiroyuki Kasai , Wolfgang Kellerer , Martin Kleinsteuber

Event detection has been an important task in transportation, whose task is to detect points in time when large events disrupts a large portion of the urban traffic network. Travel information {Origin-Destination} (OD) matrix data by map…

Machine Learning · Computer Science 2020-12-29 Yue Hu , Ao Qu , Dan Work

Given the superposition of a low-rank matrix plus the product of a known fat compression matrix times a sparse matrix, the goal of this paper is to establish deterministic conditions under which exact recovery of the low-rank and sparse…

Information Theory · Computer Science 2013-10-01 Morteza Mardani , Gonzalo Mateos , Georgios B. Giannakis

We describe and validate a novel data-driven approach to the real time detection and classification of traffic anomalies based on the identification of atypical fluctuations in the relationship between density and flow. For aggregated data…

Applications · Statistics 2020-12-22 Kieran Kalair , Colm Connaughton

Origin-Destination Matrix (ODM) estimation is a classical problem in transport engineering aiming to recover flows from every Origin to every Destination from measured traffic counts and a priori model information. In addition to traffic…

Optimization and Control · Mathematics 2019-07-18 Gabriel Michau , Nelly Pustelnik , Pierre Borgnat , Patrice Abry , Alfredo Nantes , Ashish Bhaskar , Edward Chung

Anomaly detection in spatiotemporal data is a challenging problem encountered in a variety of applications including hyperspectral imaging, video surveillance and urban traffic monitoring. In the case of urban traffic data, anomalies refer…

Signal Processing · Electrical Eng. & Systems 2021-03-02 Seyyid Emre Sofuoglu , Selin Aviyente

We develop a novel theoretical framework for understating OT schemes respecting a class structure. For this purpose, we propose a convex OT program with a sum-of-norms regularization term, which provably recovers the underlying class…

Machine Learning · Computer Science 2023-05-23 Arman Rahbar , Ashkan Panahi , Morteza Haghir Chehreghani , Devdatt Dubhashi , Hamid Krim

Spatiotemporal traffic time series, such as traffic speed data, collected from sensing systems are often incomplete, with considerable corruption and large amounts of missing values. A vast amount of data conceals implicit data structures,…

Optimization and Control · Mathematics 2025-04-04 Junxi Man , Yumin Lin , Xiaoyu Li

The objective in statistical Optimal Transport (OT) is to consistently estimate the optimal transport plan/map solely using samples from the given source and target marginal distributions. This work takes the novel approach of posing…

Machine Learning · Computer Science 2020-11-11 J. Saketha Nath , Pratik Jawanpuria

Imputation of random or non-random missing data is a long-standing research topic and a crucial application for Intelligent Transportation Systems (ITS). However, with the advent of modern communication technologies such as Global Satellite…

Machine Learning · Computer Science 2025-09-29 Yihang Lu , Mahwish Yousaf , Xianwei Meng , Enhong Chen

The offset optimization problem seeks to coordinate and synchronize the timing of traffic signals throughout a network in order to enhance traffic flow and reduce stops and delays. Recently, offset optimization was formulated into a…

Optimization and Control · Mathematics 2020-04-28 Yi Ouyang , Richard Y. Zhang , Javad Lavaei , Pravin Varaiya

Due to the recent increase in the number of connected devices, the need to promptly detect security issues is emerging. Moreover, the high number of communication flows creates the necessity of processing huge amounts of data. Furthermore,…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Michael Neri , Sara Baldoni

Detecting anomalies on network traffic is a complex task due to the massive amount of traffic flows in today's networks, as well as the highly-dynamic nature of traffic over time. In this paper, we propose the use of Graph Neural Networks…

Machine Learning · Computer Science 2023-12-12 Hamid Latif-Martínez , José Suárez-Varela , Albert Cabellos-Aparicio , Pere Barlet-Ros

This paper addresses the problem of detecting anomalous activity in traffic networks where the network is not directly observed. Given knowledge of what the node-to-node traffic in a network should be, any activity that differs…

Methodology · Statistics 2019-02-20 Elizabeth Hou , Yasin Yilmaz , Alfred Hero

Optimal Transport (OT) based distances are powerful tools for machine learning to compare probability measures and manipulate them using OT maps. In this field, a setting of interest is semi-discrete OT, where the source measure $\mu$ is…

Anomaly detection in spatiotemporal data is a challenging problem encountered in a variety of applications including hyperspectral imaging, video surveillance, and urban traffic monitoring. Existing anomaly detection methods are most suited…

Machine Learning · Computer Science 2020-10-27 Seyyid Emre Sofuoglu , Selin Aviyente

Network tomography has been regarded as one of the most promising methodologies for performance evaluation and diagnosis of the massive and decentralized Internet. This paper proposes a new estimation approach for solving a class of inverse…

Applications · Statistics 2007-08-22 Aiyou Chen , Jin Cao

A classic network tomography problem is estimation of properties of the distribution of route traffic volumes based on counts taken on the network links. We consider inference for a general class of models for integer-valued traffic. Model…

Methodology · Statistics 2015-06-03 Martin L. Hazelton
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