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We consider first and second order consensus algorithms in networks with stochastic disturbances. We quantify the deviation from consensus using the notion of network coherence, which can be expressed as an $H_2$ norm of the stochastic…

Systems and Control · Computer Science 2013-10-10 Stacy Patterson , Bassam Bamieh

It is shown that preferential concentrations of inertial (finite-size) particle suspensions in turbulent flows follow from the dissipative nature of their dynamics. In phase space, particle trajectories converge toward a dynamical fractal…

Chaotic Dynamics · Physics 2009-11-10 Jeremie Bec

This paper proposes a graph-based approach to representing spatio-temporal trajectory data that allows an effective visualization and characterization of city-wide traffic dynamics. With the advance of sensor, mobile, and Internet of Things…

Machine Learning · Computer Science 2022-12-07 Jiwon Kim , Kai Zheng , Jonathan Corcoran , Sanghyung Ahn , Marty Papamanolis

The entropy of network ensembles characterizes the amount of information encoded in the network structure, and can be used to quantify network complexity, and the relevance of given structural properties observed in real network datasets…

Disordered Systems and Neural Networks · Physics 2014-06-18 Kartik Anand , Dimitri Krioukov , Ginestra Bianconi

Through research conducted in this study, a network approach to the correlation patterns of void spaces in rough fractures (crack type II) was developed. We characterized friction networks with several networks characteristics. The…

General Physics · Physics 2014-01-03 H. O. Ghaffari , R. P. Young

The dynamics of User Datagram Protocol (UDP) traffic over Ethernet between two computers are analyzed using nonlinear dynamics which shows that there are two clear regimes in the data flow: free flow and saturated. The two most important…

Networking and Internet Architecture · Computer Science 2011-12-08 Reginald D. Smith

The study of temporal networks in discrete time has yielded numerous insights into time-dependent networked systems in a wide variety of applications. For many complex systems, however, it is useful to develop continuous-time models of…

Social and Information Networks · Computer Science 2021-02-10 Xinzhe Zuo , Mason A Porter

Accurate and real-time traffic state prediction is of great practical importance for urban traffic control and web mapping services. With the support of massive data, deep learning methods have shown their powerful capability in capturing…

Machine Learning · Computer Science 2023-09-07 Xunlian Luo , Chunjiang Zhu , Detian Zhang , Qing Li

In this paper we study self-similar and fractal networks from the combinatorial perspective. We establish analogues of topological (Lebesgue) and fractal (Hausdorff) dimensions for graphs and demonstrate that they are naturally related to…

Combinatorics · Mathematics 2019-12-25 Pavel Skums , Leonid Bunimovich

With the rapid growth of traffic sensors deployed, a massive amount of traffic flow data are collected, revealing the long-term evolution of traffic flows and the gradual expansion of traffic networks. How to accurately forecasting these…

Machine Learning · Computer Science 2021-06-14 Xu Chen , Junshan Wang , Kunqing Xie

The fractal nature of graphs has traditionally been investigated by using the nodes of networks as the basic units. Here, instead, we propose to concentrate on the graph edges, and introduce a practical and computationally not demanding…

Physics and Society · Physics 2017-04-05 Sarika Jalan , Alok Yadav , Camellia Sarkar , Stefano Boccaletti

In this paper we analyze a single server queue with batch arrivals and semi-Markovian service times. We also include the feature that the first service of each busy period might have a different distribution than subsequent service times.…

Probability · Mathematics 2018-12-07 Abhishek , Rudesindo Núñez Queija , Marko Boon

We study the distributions of traveling length l and minimal traveling time t through two-dimensional percolation porous media characterized by long-range spatial correlations. We model the dynamics of fluid displacement by the convective…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. D. Araujo , A. A. Moreira , H. A. Makse , H. E. Stanley , J. S. Andrade

In the setting of a recently developed cellular stochastic traffic flow model, it has shown that the joint per-cell vehicle densities, as a function of time, can be accurately approximated by a Gaussian process, which has the attractive…

Optimization and Control · Mathematics 2020-07-16 Michel Mandjes , Jaap Storm

We develop an analytical approach which provides the dependence of the mean first-passage time (MFPT) for random walks on complex networks both on the target connectivity and on the source-target distance. Our approach puts forward two…

Statistical Mechanics · Physics 2015-05-27 Vincent Tejedor , Olivier Bénichou , Raphael Voituriez

We study the large deviations performance, i.e., the exponential decay rate of the error probability, of distributed detection algorithms over random networks. At each time step $k$ each sensor: 1) averages its decision variable with the…

Information Theory · Computer Science 2010-12-22 Dragana Bajovic , Dusan Jakovetic , Joao Xavier , Bruno Sinopoli , Jose M. F. Moura

Traffic prediction is one of the key elements to ensure the safety and convenience of citizens. Existing traffic prediction models primarily focus on deep learning architectures to capture spatial and temporal correlation. They often…

Machine Learning · Computer Science 2023-08-22 Sumin Han , Youngjun Park , Minji Lee , Jisun An , Dongman Lee

Through this research, embedded synthetic fracture networks in rock masses are studied. To analysis the fluid flow complexity in fracture networks with respect to the variation of connectivity patterns, two different approaches are…

Computational Engineering, Finance, and Science · Computer Science 2012-02-23 H. O. Ghaffari , M. H. B. Nasseri , R. P. Young

Over the past few years, eXtended Reality (XR) has attracted increasing interest thanks to its extensive industrial and commercial applications, and its popularity is expected to rise exponentially over the next decade. However, the…

Networking and Internet Architecture · Computer Science 2022-01-19 Mattia Lecci , Federico Chiariotti , Matteo Drago , Andrea Zanella , Michele Zorzi

Modern networks exhibit a high degree of variability in link rates. Cellular network bandwidth inherently varies with receiver motion and orientation, while class-based packet scheduling in datacenter and service provider networks induces…

Networking and Internet Architecture · Computer Science 2022-02-10 Prateesh Goyal , Mohammad Alizadeh , Thomas E. Anderson
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