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We propose a macroscopic modeling framework for a network of roads and multi-commodity traffic. The proposed framework is based on the Lighthill-Whitham-Richards kinematic wave theory; more precisely, on its discretization, the Cell…

Systems and Control · Computer Science 2015-10-20 Matthew Wright , Gabriel Gomes , Roberto Horowitz , Alex A. Kurzhanskiy

Deep learning (DL) methods have outperformed parametric models such as historical average, ARIMA and variants in predicting traffic variables into short and near-short future, that are critical for traffic management. Specifically,…

Machine Learning · Computer Science 2023-07-18 Agnimitra Sengupta , Adway Das , S. Ilgin Guler

Efficient and exact algorithms are important for performing fast and accurate traffic network simulations with macroscopic traffic models. In this paper, we extend the semi-analytical Lax-Hopf algorithm in order to compute link inflows and…

Analysis of PDEs · Mathematics 2018-08-29 Michele Simoni , Christian Claudel

We present a continuous-time link-based kinematic wave model (LKWM) for dynamic traffic networks based on the scalar conservation law model. Derivation of the LKWM involves the variational principle for the Hamilton-Jacobi equation and…

Analysis of PDEs · Mathematics 2016-03-29 Ke Han , Benedetto Piccoli , W. Y. Szeto

Macroscopic link-based flow models are efficient for simulating flow propagation in urban road networks. Existing link-based flow models described traffic states of a link with two state variables of link inflow and outflow and assumed…

Systems and Control · Electrical Eng. & Systems 2024-11-14 Lei Wei , S. Travis Waller , Yu Mei , Peng Chen , Yunpeng Wang , Meng Wang

Network utilisation efficiency can, at least in principle, often be improved by dynamically re-configuring routing policies to better distribute on-going large data transfers. Unfortunately, the information necessary to decide on an…

Networking and Internet Architecture · Computer Science 2021-09-08 Joanna Waczynska , Edoardo Martelli , Sofia Vallecorsa , Edward Karavakis , TonyCass

Dynamic networks have intrinsic structural, computational, and multidisciplinary advantages. Link prediction estimates the next relationship in dynamic networks. However, in the current link prediction approaches, only bipartite or…

Social and Information Networks · Computer Science 2020-06-09 Mohamoud Ali , Yugyung Lee , Praveen Rao

In this paper, we propose an intermittent communication framework for mobile robot networks. Specifically, we consider robots that move along the edges of a connected mobility graph and communicate only when they meet at the nodes of that…

Multiagent Systems · Computer Science 2016-09-23 Yiannis Kantaros , Michael M. Zavlanos

Deep learning (DL) models for spatio-temporal traffic flow forecasting employ convolutional or graph-convolutional filters along with recurrent neural networks to capture spatial and temporal dependencies in traffic data. These models, such…

Machine Learning · Computer Science 2023-07-18 Agnimitra Sengupta , S. Ilgin Guler

Existing methods for traffic signal design are either too simplistic to capture realistic traffic characteristics or too complicated to be mathematically tractable. In this study, we attempts to fill the gap by presenting a new method based…

Dynamical Systems · Mathematics 2015-10-06 Wen-Long Jin , Yifeng Yu

Reliable traffic flow prediction is crucial to creating intelligent transportation systems. Many big-data-based prediction approaches have been developed but they do not reflect complicated dynamic interactions between roads considering…

Machine Learning · Computer Science 2023-06-21 Won Kyung Lee , Deuk Sin Kwon , So Young Sohn

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

Network traffic demand matrix is a critical input for capacity planning, anomaly detection and many other network management related tasks. The demand matrix is often computed from link load measurements. The traffic matrix (TM) estimation…

Networking and Internet Architecture · Computer Science 2020-08-04 Shenghe Xu , Murali Kodialam , T. V. Lakshman , Shivendra Panwar

Network Traffic Matrix (TM) prediction is defined as the problem of estimating future network traffic from the previous and achieved network traffic data. It is widely used in network planning, resource management and network security. Long…

Networking and Internet Architecture · Computer Science 2017-06-12 Abdelhadi Azzouni , Guy Pujolle

Merging junctions are important network bottlenecks, and a better understanding of merging traffic dynamics has both theoretical and practical implications. In this paper, we present continuous kinematic wave models of merging traffic flow…

Dynamical Systems · Mathematics 2010-04-14 Wen-Long Jin

We introduce a new class of time-continuous recurrent neural network models. Instead of declaring a learning system's dynamics by implicit nonlinearities, we construct networks of linear first-order dynamical systems modulated via nonlinear…

Machine Learning · Computer Science 2020-12-16 Ramin Hasani , Mathias Lechner , Alexander Amini , Daniela Rus , Radu Grosu

Modern statistical machine translation (SMT) systems usually use a linear combination of features to model the quality of each translation hypothesis. The linear combination assumes that all the features are in a linear relationship and…

Computation and Language · Computer Science 2015-03-03 Shujian Huang , Huadong Chen , Xinyu Dai , Jiajun Chen

Traffic forecasting is pivotal for intelligent transportation systems, where accurate and interpretable predictions can significantly enhance operational efficiency and safety. A key challenge stems from the heterogeneity of traffic…

Machine Learning · Computer Science 2025-11-17 Seyed Mohamad Moghadas , Bruno Cornelis , Alexandre Alahi , Adrian Munteanu

Traditional Recurrent Neural Networks (RNNs) and Long Short-Term Memory (LSTM) units operate on discrete time steps, often failing to capture the fluid temporal dynamics of real-world physical processes. Liquid Neural Networks (LNNs),…

Machine Learning · Computer Science 2026-05-28 Ye Kyaw Thu , Thazin Myint Oo , Thepchai Supnithi

In this paper, we consider networks of static sensors with integrated sensing and communication capabilities. The goal of the sensors is to propagate their collected information to every other agent in the network and possibly a human…

Systems and Control · Electrical Eng. & Systems 2022-04-15 Hans Riess , Yiannis Kantaros , George Pappas , Robert Ghrist
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