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Inferring the underlying graph topology that characterizes structured data is pivotal to many graph-based models when pre-defined graphs are not available. This paper focuses on learning graphs in the case of sequential data in dynamic…

Machine Learning · Computer Science 2022-02-25 Xiang Zhang

Constantly growing demands of high productivity and security of computer systems and computer networks call the interest of specialists in the environment of construction of optimum topologies of computer mediums. In earliest phases of…

Networking and Internet Architecture · Computer Science 2010-07-15 Sanjay Kumar Pal , Samar Sen Sarma

We propose an information-based model for network dynamics in which imperfect information leads to networks where the different vertices have widely different number of edges to other vertices, and where the topology has hierarchical…

Disordered Systems and Neural Networks · Physics 2007-05-23 Martin Rosvall , Kim Sneppen

Internet traffic on a network link can be modeled as a stochastic process. After detecting and quantifying the properties of this process, using statistical tools, a series of mathematical models is developed, culminating in one that is…

Probability · Mathematics 2015-06-26 Konstantinos Drakakis , Dragan Radulovic

Inferring the network topology from the dynamics is a fundamental problem with wide applications in geology, biology and even counter-terrorism. Based on the propagation process, we present a simple method to uncover the network topology.…

Physics and Society · Physics 2013-11-21 An Zeng

We model the Internet as a network of interconnected Autonomous Systems which self-organize under an absolute lack of centralized control. Our aim is to capture how the Internet evolves by reproducing the assembly that has led to its actual…

Physics and Society · Physics 2009-11-11 M. Angeles Serrano , Marian Boguna , Albert Diaz-Guilera

In this paper I introduce a framework for modeling temporal communication networks and dynamical processes unfolding on such networks. The framework originates from the realization that there is a meaningful division of temporal…

Physics and Society · Physics 2019-07-24 Sune Lehmann

In this paper we develop a novel Topological Data Analysis (TDA) approach for studying graph representations of time series of dynamical systems. Specifically, we show how persistent homology, a tool from TDA, can be used to yield a…

Chaotic Dynamics · Physics 2020-01-28 Audun Myers , Elizabeth Munch , Firas A. Khasawneh

Communication networks form the backbone of our society. Topology control algorithms optimize the topology of such communication networks. Due to the importance of communication networks, a topology control algorithm should guarantee…

Software Engineering · Computer Science 2018-05-10 Roland Kluge , Michael Stein , Gergely Varró , Andy Schürr , Matthias Hollick , Max Mühlhäuser

Graphs emerge in almost every real-world application domain, ranging from online social networks all the way to health data and movie viewership patterns. Typically, such real-world graphs are big and dynamic, in the sense that they evolve…

Social and Information Networks · Computer Science 2022-10-11 Ekta Gujral

Data processing tasks over graphs couple the data residing over the nodes with the topology through graph signal processing tools. Graph filters are one such prominent tool, having been used in applications such as denoising, interpolation,…

Signal Processing · Electrical Eng. & Systems 2023-01-18 Bishwadeep Das , Elvin Isufi

We investigate online network topology identification from smooth nodal observations acquired in a streaming fashion. Different from non-adaptive batch solutions, our distinctive goal is to track the (possibly) dynamic adjacency matrix with…

Signal Processing · Electrical Eng. & Systems 2022-11-15 Seyed Saman Saboksayr , Gonzalo Mateos

Dynamical processes taking place on networks have received much attention in recent years, especially on various models of random graphs (including small world and scale free networks). They model a variety of phenomena, including the…

Probability · Mathematics 2007-05-23 Jonathan Rowe , Boris Mitavskiy

Network-topology inference from (vertex) signal observations is a prominent problem across data-science and engineering disciplines. Most existing schemes assume that observations from all nodes are available, but in many practical…

Methodology · Statistics 2021-11-11 Andrei Buciulea , Samuel Rey , Antonio G. Marques

Dynamical processes taking place on real networks define on them evolving subnetworks whose topology is not necessarily the same of the underlying one. We investigate the problem of determining the emerging degree distribution, focusing on…

Physics and Society · Physics 2009-11-13 Luca Dall'Asta

To study large-scale effects on the Internet various mod- els have been introduced to generate Internet-like autono- mous system (AS) topologies. The models for large-scale AS topologies have been focused on replicating structural graph…

Networking and Internet Architecture · Computer Science 2014-09-25 Arne Schwabe , Holger Karl

The growing success of graph signal processing (GSP) approaches relies heavily on prior identification of a graph over which network data admit certain regularity. However, adaptation to increasingly dynamic environments as well as demands…

Machine Learning · Computer Science 2021-03-08 Seyed Saman Saboksayr , Gonzalo Mateos , Mujdat Cetin

Recent evidence indicates that the abundance of recurring elementary interaction patterns in complex networks, often called subgraphs or motifs, carry significant information about their function and overall organization. Yet, the…

Disordered Systems and Neural Networks · Physics 2009-11-10 A. Vazquez , R. Dobrin , D. Sergi , J. -P. Eckmann , Z. N. Oltvai , A. -L. Barabasi

The topologies of predictable dynamic networks are continuously dynamic in terms of node position, network connectivity and link metric. However, their dynamics are almost predictable compared with the ad-hoc network. The existing routing…

Networking and Internet Architecture · Computer Science 2018-08-20 Zengyin Yang , Qian Wu , Zhize Li , Hewu Li , Jianping Wu

We establish a network formation game for the Internet's Autonomous System (AS) interconnection topology. The game includes different types of players, accounting for the heterogeneity of ASs in the Internet. In this network formation game,…

Computer Science and Game Theory · Computer Science 2016-05-24 Eli A. Meirom , Shie Mannor , Ariel Orda