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This is a brief and gentle introduction, aimed at graduate students, to the subject of model subspaces of the Hardy space.

Complex Variables · Mathematics 2013-12-19 Stephan Ramon Garcia , William T. Ross

Networks have provided extremely successful models of data and complex systems. Yet, as combinatorial objects, networks do not have in general intrinsic coordinates and do not typically lie in an ambient space. The process of assigning an…

Social and Information Networks · Computer Science 2025-11-26 Anthony Baptista , Rubén J. Sánchez-García , Anaïs Baudot , Ginestra Bianconi

Network embedding methods aim at learning low-dimensional latent representation of nodes in a network. These representations can be used as features for a wide range of tasks on graphs such as classification, clustering, link prediction,…

Social and Information Networks · Computer Science 2018-08-09 Haochen Chen , Bryan Perozzi , Rami Al-Rfou , Steven Skiena

In performance analysis and design of communication netword modeling data traffic is important. With introduction of new applications, the characteristics of the data traffic changes. We present a brief review the different models of data…

Networking and Internet Architecture · Computer Science 2007-05-23 G. Babic , B. Vandalore , R. Jain

Link prediction in complex networks has attracted considerable attention from interdisciplinary research communities, due to its ubiquitous applications in biological networks, social networks, transportation networks, telecommunication…

Social and Information Networks · Computer Science 2020-12-22 Ece C. Mutlu , Toktam A. Oghaz , Amirarsalan Rajabi , Ivan Garibay

The emergence and popularization of online social networks suddenly made available a large amount of data from social organization, interaction and human behavior. All this information opens new perspectives and challenges to the study of…

Social and Information Networks · Computer Science 2016-04-05 David Burth Kurka , Alan Godoy , Fernando J. Von Zuben

The key elements that a common format for describing networks should include are discussed.

Social and Information Networks · Computer Science 2025-12-01 Vladimir Batagelj , Tomaž Pisanski , Iztok Savnik , Ana Slavec , Nino Bašić

This book introduces the mathematical foundations and techniques that lead to the development and analysis of many of the algorithms that are used in machine learning. It starts with an introductory chapter that describes notation used…

Machine Learning · Statistics 2025-05-15 Laurent Younes

Network embedding assigns nodes in a network to low-dimensional representations and effectively preserves the network structure. Recently, a significant amount of progresses have been made toward this emerging network analysis paradigm. In…

Social and Information Networks · Computer Science 2017-11-27 Peng Cui , Xiao Wang , Jian Pei , Wenwu Zhu

These lecture notes have been converted to a book titled Network Information Theory published recently by Cambridge University Press. This book provides a significantly expanded exposition of the material in the lecture notes as well as…

Information Theory · Computer Science 2011-12-15 Abbas El Gamal , Young-Han Kim

Feature article on how networks that govern communication, growth, herd behavior, and other key processes in nature and society are becoming increasingly amenable to modeling, forecast, and control.

Physics and Society · Physics 2012-06-14 Adilson E. Motter , Reka Albert

Network models are widely used to represent relational information among interacting units and the structural implications of these relations. Recently, social network studies have focused a great deal of attention on random graph models of…

Applications · Statistics 2010-10-06 Mark S. Handcock , Krista J. Gile

Since its first formulations almost a century ago, mathematical models for disease spreading contributed to understand, evaluate and control the epidemic processes.They promoted a dramatic change in how epidemiologists thought of the…

Adaptation and Self-Organizing Systems · Physics 2013-12-16 Marcelo N. Kuperman

A paper for general audience about descriptive inner model theory.

Logic · Mathematics 2012-06-14 Grigor Sargsyan

Modern communication networks are inherently complex in nature. First of all, they have a large number of heterogeneous components. Secondly, their connectivity is extremely dynamic. Nodes can come and go, links can be removed and added…

Social and Information Networks · Computer Science 2017-08-08 Bisma S. Khan , Muaz A. Niazi

Rejoinder: Monitoring Networked Applications With Incremental Quantile Estimation [arXiv:0708.0302]

Methodology · Statistics 2007-08-03 John M. Chambers , David A. James , Diane Lambert , Scott Vander Wiel

In recent years, methods from network science are gaining rapidly interest in economics and finance. A reason for this is that in a globalized world the interconnectedness among economic and financial entities are crucial to understand and…

Modeling power transmission networks is an important area of research with applications such as vulnerability analysis, study of cascading failures, and location of measurement devices. Graph-theoretic approaches have been widely used to…

The deluge of network datasets demands a standard way to effectively and succinctly summarize network datasets. Building on similar efforts to standardize the documentation of models and datasets in machine learning, here we propose network…

Social and Information Networks · Computer Science 2022-12-22 James Bagrow , Yong-Yeol Ahn

This paper provides additional results relevant to the setting, model, and estimators of Auerbach (2019a). Section 1 contains results about the large sample properties of the estimators from Section 2 of Auerbach (2019a). Section 2…

Econometrics · Economics 2021-05-24 Eric Auerbach