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The presence of embedded electronics and communication capabilities as well as sensing and control in smart devices has given rise to the novel concept of cyber-physical networks, in which agents aim at cooperatively solving complex tasks…

Systems and Control · Electrical Eng. & Systems 2020-10-28 Giuseppe Notarstefano , Ivano Notarnicola , Andrea Camisa

In this paper, we consider the problem of exploring structural regularities of networks by dividing the nodes of a network into groups such that the members of each group have similar patterns of connections to other groups. Specifically,…

Physics and Society · Physics 2015-05-30 Hua-Wei Shen , Xue-Qi Cheng , Jia-Feng Guo

The principle of maximum entropy (Maxent) is often used to obtain prior probability distributions as a method to obtain a Gibbs measure under some restriction giving the probability that a system will be in a certain state compared to the…

Information Theory · Computer Science 2019-06-26 Hector Zenil , Narsis A. Kiani , Jesper Tegnér

The structure of ecological interactions is commonly understood through analyses of interaction networks. However, these analyses may be sensitive to sampling biases in both the interactors (the nodes of the network) and interactions (the…

Multidimensional scaling (MDS) is a popular dimensionality reduction techniques that has been widely used for network visualization and cooperative localization. However, the traditional stress minimization formulation of MDS necessitates…

Optimization and Control · Mathematics 2016-12-22 Ketan Rajawat , Sandeep Kumar

Many neural systems display cascading behavior characterized by uninterrupted sequences of neuronal firing. This gap precludes an understanding of how variations in network structure manifest in neural dynamics and either support or impinge…

Neurons and Cognition · Quantitative Biology 2019-11-12 Harang Ju , Jason Z. Kim , Danielle S. Bassett

A growing set of applications consider the process of network formation by using subgraphs as a tool for generating the network topology. One of the pressing research challenges is thus to be able to use these subgraphs to understand the…

Social and Information Networks · Computer Science 2019-04-11 Soumajyoti Sarkar , Hamidreza Alvari , Paulo Shakarian

Reducing the fuel load in fire-prone landscapes is aimed at mitigating the risk of catastrophic wildfires but there are ecological consequences. Maintaining habitat for fauna of both sufficient extent and connectivity while fragmenting…

Optimization and Control · Mathematics 2017-01-19 Ramya Rachmawati , Melih Ozlen , John W. Hearne , Karin J. Reinke

Inspired by studies on the airports' network and the physical Internet, we propose a general model of weighted networks via an optimization principle. The topology of the optimal network turns out to be a spanning tree that minimizes a…

Physics and Society · Physics 2009-11-11 Marc Barthelemy , Alessandro Flammini

In this demo paper, we consider the network slice placement optimization problem and give some insights into a fast heuristic algorithm tailored to placement in large scale networks. We consider an online optimization scenario with multiple…

Networking and Internet Architecture · Computer Science 2020-10-19 Jose Jurandir Alves Esteves , Amina Boubendir , Fabice Guillemin , Pierre Sens

This chapter provides a comprehensive and self-contained discussion of the most recent developments of information theory of networks. Maximum entropy models of networks are the least biased ensembles enforcing a set of constraints and are…

Disordered Systems and Neural Networks · Physics 2022-06-14 Ginestra Bianconi

For general connections, the problem of finding network codes and optimizing resources for those codes is intrinsically difficult and little is known about its complexity. Most of the existing solutions rely on very restricted classes of…

Information Theory · Computer Science 2015-03-02 Ying Cui , Muriel Médard , Edmund Yeh , Douglas Leith , Ken Duffy

We propose a mixed integer programming (MIP) model and iterative algorithms based on topological orders to solve optimization problems with acyclic constraints on a directed graph. The proposed MIP model has a significantly lower number of…

Machine Learning · Statistics 2017-11-02 Young Woong Park , Diego Klabjan

We present an analytical approach to determining the expected cascade size in a broad range of dynamical models on the class of random networks with arbitrary degree distribution and nonzero clustering introduced in [M.E.J. Newman, Phys.…

Physics and Society · Physics 2013-06-06 Adam Hackett , Sergey Melnik , James P. Gleeson

Networks provide a skeleton for the spread of contagions, like, information, ideas, behaviors and diseases. Many times networks over which contagions diffuse are unobserved and need to be inferred. Here we apply survival theory to develop…

Social and Information Networks · Computer Science 2013-05-17 Manuel Gomez Rodriguez , Jure Leskovec , Bernhard Schoelkopf

Diffusion and propagation of information, influence and diseases take place over increasingly larger networks. We observe when a node copies information, makes a decision or becomes infected but networks are often hidden or unobserved.…

Social and Information Networks · Computer Science 2012-05-09 Manuel Gomez Rodriguez , Bernhard Schölkopf

Gradient networks can be used to model the dominant structure of complex networks. Previous works have focused on random gradient networks. Here we study gradient networks that minimize jamming on substrate networks with scale-free and…

Statistical Mechanics · Physics 2009-11-13 Natali Gulbahce

We study proliferation of an action in binary action network coordination games that are generalized to include global effects. This captures important aspects of proliferation of a particular action or narrative in online social networks,…

Theoretical Economics · Economics 2023-08-02 John Higgins , Tarun Sabarwal

Optimal percolation is the problem of finding the minimal set of nodes such that if the members of this set are removed from a network, the network is fragmented into non-extensive disconnected clusters. The solution of the optimal…

Physics and Society · Physics 2018-03-02 Saeed Osat , Ali Faqeeh , Filippo Radicchi

Existing designs for content dissemination do not fully explore and exploit potential caching and computation capabilities in advanced wireless networks. In this paper, we propose two partition-based caching designs, i.e., a coded caching…

Information Theory · Computer Science 2017-02-07 Dongdong Jiang , Ying Cui