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We study dynamical transportation networks in a framework that includes extensions of the classical Cell Transmission Model to arbitrary network topologies. The dynamics are modeled as systems of ordinary differential equations describing…

Optimization and Control · Mathematics 2014-10-28 Enrico Lovisari , Giacomo Como , Anders Rantzer , Ketan Savla

Although machine learning (ML) is increasingly employed recently for mechanistic problems, the black-box nature of conventional ML architectures lacks the physical knowledge to infer unforeseen input conditions. This implies both severe…

Machine Learning · Computer Science 2021-10-11 Wrik Mallik , Rajeev K. Jaiman , Jasmin Jelovica

Fundamental to many transportation network studies, traffic flow models can be used to describe traffic dynamics determined by drivers' car-following, lane-changing, merging, and diverging behaviors. In this study, we develop a…

Dynamical Systems · Mathematics 2013-07-31 Wen-Long Jin

This paper focuses on the analytical probabilistic modeling of vehicular traffic. It formulates a stochastic node model. It then formulates a network model by coupling the node model with the link model of Lu and Osorio (2018), which is a…

Computer Science and Game Theory · Computer Science 2022-09-07 Jing Lu , Carolina Osorio

A new lattice Boltzmann model (LBM) for chemically reactive mixtures is presented. The approach capitalizes on the recently introduced thermodynamically consistent LBM for multicomponent mixtures of ideal gases. Similar to the non-reactive…

Fluid Dynamics · Physics 2021-10-04 N. Sawant , B. Dorschner , I. V. Karlin

Linear Mode Connectivity (LMC) refers to the phenomenon that performance remains consistent for linearly interpolated models in the parameter space. For independently optimized model pairs from different random initializations, achieving…

Machine Learning · Computer Science 2025-02-17 Ryuichi Kanoh , Mahito Sugiyama

This paper introduces a new macroscopic perspective for simulating transportation networks. The idea is to look at the network as connected nodes. Each node sends an information package to its neighbors. Basically, the information package…

Dynamical Systems · Mathematics 2024-07-19 Omar Mansour , Tomer Toledo , Shadi Haj-Yahia , Wafa Elias

In this paper, we analyze the numerical stability of the popular Longley-Rice Irregular Terrain Model (ITM). This model is widely used to plan wireless networks and in simulation-validated research and hence its stability is of fundamental…

Networking and Internet Architecture · Computer Science 2011-09-12 Caleb Phillips , Douglas Sicker , Dirk Grunwald

The spread of new beliefs, behaviors, conventions, norms, and technologies in social and economic networks are often driven by cascading mechanisms, and so are contagion dynamics in financial networks. Global behaviors generally emerge from…

Social and Information Networks · Computer Science 2016-04-20 Giacomo Como , Wilbert Samuel Rossi , Fabio Fagnani

Real-time traffic prediction from high-fidelity spatiotemporal traffic sensor datasets is an important problem for intelligent transportation systems and sustainability. However, it is challenging due to the complex topological dependencies…

Social and Information Networks · Computer Science 2016-07-22 Dingxiong Deng , Cyrus Shahabi , Ugur Demiryurek , Linhong Zhu , Rose Yu , Yan Liu

Foundation models have shown great promise in various fields of study. A potential application of such models is in computer network traffic analysis, where these models can grasp the complexities of network traffic dynamics and adapt to…

Machine Learning · Computer Science 2024-09-13 Louis Van Langendonck , Ismael Castell-Uroz , Pere Barlet-Ros

Multilayer networks have become increasingly ubiquitous across diverse scientific fields, ranging from social sciences and biology to economics and international relations. Despite their broad applications, the inferential theory for…

Methodology · Statistics 2026-02-24 Zhaozhe Liu , Gongjun Xu , Haoran Zhang

The Linear Threshold Model (LTM) is widely used to study the propagation of collective behaviors as complex contagions. However, its dependence on discrete states and timesteps restricts its ability to capture the multiple time-scales…

Systems and Control · Electrical Eng. & Systems 2026-04-01 Ian Xul Belaustegui , Himani Sinhmar , Ling-Wei Kong , Andrew Michael Hein , Naomi Ehrich Leonard

Dynamic graphs serve as a generic abstraction and description of the evolutionary behaviors of various complex systems (e.g., social networks and communication networks). Temporal link prediction (TLP) is a classic yet challenging inference…

Social and Information Networks · Computer Science 2023-06-30 Meng Qin , Dit-Yan Yeung

The unreal high flows may appear on the actually congested links in the result when a monotonically increasing link travel time function of flow volume is adopted in traffic assignment. The fixed link flow results of a static traffic…

Systems and Control · Electrical Eng. & Systems 2020-06-02 Shengxue He

Topological mechanical metamaterials have enabled new ways to control stress and deformation propagation. Exemplified by Maxwell lattices, they have been studied extensively using a linearized formalism. Herein, we study a two-dimensional…

Accurate and reliable traffic forecasting for complicated transportation networks is of vital importance to modern transportation management. The complicated spatial dependencies of roadway links and the dynamic temporal patterns of traffic…

Machine Learning · Computer Science 2018-11-13 Xiaolei Ma , Yi Li , Zhiyong Cui , Yinhai Wang

Traffic state data, such as speed, volume and travel time collected from ubiquitous traffic monitoring sensors require advanced network level analytics for forecasting and identifying significant traffic patterns. This paper leverages…

Machine Learning · Computer Science 2025-02-18 Tianya Zhang

Typical features of the Transmission Line Matrix (TLM) algorithm in connection with stub loading techniques and prone to be hidden in common frequency domain formulations are elucidated within the propagator approach to TLM. In particular,…

Numerical Analysis · Mathematics 2025-10-20 Steffen Hein

Mobile traffic prediction is an important enabler for optimizing resource allocation and improving energy efficiency in mobile wireless networks. Building on the advanced contextual understanding and generative capabilities of large…

Networking and Internet Architecture · Computer Science 2025-06-17 Han Zhang , Akram Bin Sediq , Ali Afana , Melike Erol-Kantarci