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This paper presents a dedicated Deep Neural Network (DNN) architecture that reconstructs space-time traffic speeds on freeways given sparse data. The DNN is constructed in such a way, that it learns heterogeneous congestion patterns using a…

Machine Learning · Computer Science 2021-04-21 Felix Rempe , Philipp Franeck , Klaus Bogenberger

The implementation of intelligent transportation systems (ITS) has enhanced data collection in urban transportation through advanced traffic sensing devices. However, the high costs associated with installation and maintenance result in…

Systems and Control · Electrical Eng. & Systems 2024-09-13 Sicheng Fu , Haotian Shi , Shixiao Liang , Xin Wang , Bin Ran

This article proposes a numerical scheme for computing the evolution of vehicular traffic on a road network over a finite time horizon. The traffic dynamics on each link is modeled by the Hamilton-Jacobi (HJ) partial differential equation…

Physics and Society · Physics 2017-02-14 Yanning Li , Christian G. Claudel , Benedetto Piccoli , Daniel B. Work

Tolling, or congestion pricing, has emerged as an effective tool for preventing gridlock in traffic systems. However, tolls are currently mostly designed on route-based traffic assignment models (TAM), which may be unrealistic and…

Systems and Control · Electrical Eng. & Systems 2024-10-01 Chih-Yuan Chiu , Shankar Sastry

Optimal transport (OT) finds a least cost transport plan between two probability distributions using a cost matrix defined on pairs of points. Unlike standard OT, which infers unstructured pointwise mappings, low-rank optimal transport…

Machine Learning · Computer Science 2026-03-05 Henri Schmidt , Peter Halmos , Ben Raphael

This paper considers the optimization-based traffic allocation problem among multiple end points in connectionless networks. The network utility function is modeled as a non-concave function, since it is the best description of the quality…

Optimization and Control · Mathematics 2017-03-01 Jingyao Wang , Mahmoud Ashour , Constantino Lagoa , Necdet Aybat , Hao Che , Zhisheng Duan

Suitable estimators for a class of Large Deviation approximations of rare event probabilities based on sample realizations of random processes have been proposed in our earlier work. These estimators are expressed as non-linear…

Information Theory · Computer Science 2016-05-04 Spyridon Vassilaras , Ioannis Ch. Paschalidis

Emerging edge computing paradigms enable heterogeneous devices to collaborate on complex computation applications. However, for arbitrary heterogeneous edge networks, delay-optimal forwarding and computation offloading remains an open…

Networking and Internet Architecture · Computer Science 2025-06-17 Jinkun Zhang , Yuezhou Liu , Edmund Yeh

This paper investigates the vulnerability of urban traffic networks to cyber-attacks on traffic lights. We model traffic signal tampering as a bi-objective optimization problem that simultaneously seeks to reduce vehicular throughput in the…

Systems and Control · Electrical Eng. & Systems 2020-05-22 Bilal Thonnam Thodi , Timothy Mulumba , Saif Eddin Jabari

The concave utility in the Network Utility Maximization (NUM) problem is only suitable for elastic flows. However, the networks with the multiclass traffic, the utility of inelastic traffic is usually represented by the sigmoidal function…

Systems and Control · Computer Science 2012-04-17 Phuong L. Vo , Nguyen H. Tran , Choong Seon Hong

Atomic norm minimization is a convex optimization framework to recover point sources from a subset of their low-pass observations, or equivalently the underlying frequencies of a spectrally-sparse signal. When the amplitudes of the sources…

Information Theory · Computer Science 2021-02-24 Maxime Ferreira Da Costa , Yuejie Chi

In this work, the authors address the Optimal Transport (OT) problem on graphs using a proximal stabilized Interior Point Method (IPM). In particular, strongly leveraging on the induced primal-dual regularization, the authors propose to…

Optimization and Control · Mathematics 2023-07-12 Stefano Cipolla , Jacek Gondzio , Filippo Zanetti

Spatio-temporal graph neural networks (ST-GNNs) have achieved notable success in structured domains such as road traffic and public transportation, where spatial entities can be naturally represented as fixed nodes. In contrast, many…

Machine Learning · Computer Science 2025-12-24 Jeehong Kim , Youngseok Hwang , Minchan Kim , Sungho Bae , Hyunwoo Park

We develop a real-time anomaly detection algorithm for directed activity on large, sparse networks. We model the propensity for future activity using a dynamic logistic model with interaction terms for sender- and receiver-specific latent…

Methodology · Statistics 2021-02-01 Wesley Lee , Tyler H. McCormick , Joshua Neil , Cole Sodja , Yanran Cui

This paper addresses the problem of short-term traffic prediction for signalized traffic operations management. Specifically, we focus on predicting sensor states in high-resolution (second-by-second). This contrasts with traditional…

Optimization and Control · Mathematics 2022-04-12 Wenqing Li , Chuhan Yang , Saif Eddin Jabari

We investigate algorithms to find short paths in spatial networks with stochastic edge weights. Our formulation of the problem of finding short paths differs from traditional formulations because we specifically do not make two of the usual…

Social and Information Networks · Computer Science 2013-09-06 Till Hoffmann , Renaud Lambiotte , Mason A. Porter

Compressed Sensing suggests that the required number of samples for reconstructing a signal can be greatly reduced if it is sparse in a known discrete basis, yet many real-world signals are sparse in a continuous dictionary. One example is…

Information Theory · Computer Science 2015-07-24 Yuanxin Li , Yuejie Chi

In graph analysis, a classic task consists in computing similarity measures between (groups of) nodes. In latent space random graphs, nodes are associated to unknown latent variables. One may then seek to compute distances directly in the…

Machine Learning · Statistics 2022-01-12 Nicolas Keriven

Optimal Transport (OT) distances are now routinely used as loss functions in ML tasks. Yet, computing OT distances between arbitrary (i.e. not necessarily discrete) probability distributions remains an open problem. This paper introduces a…

Optimization and Control · Mathematics 2020-07-03 Arthur Mensch , Gabriel Peyré

Recently, linear regression models incorporating an optimal transport (OT) loss have been explored for applications such as supervised unmixing of spectra, music transcription, and mass spectrometry. However, these task-specific approaches…

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