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Complex networks are ubiquitous: a cell, the human brain, a group of people and the Internet are all examples of interconnected many-body systems characterized by macroscopic properties that cannot be trivially deduced from those of their…

We study the response of complex networks subject to attacks on vertices and edges. Several existing complex network models as well as real-world networks of scientific collaborations and Internet traffic are numerically investigated, and…

Disordered Systems and Neural Networks · Physics 2009-11-07 Petter Holme , Beom Jun Kim , Chang No Yoon , Seung Kee Han

We systematically study and compare damage spreading for random Boolean and threshold networks under small external perturbations (damage), a problem which is relevant to many biological networks. We identify a new characteristic…

Disordered Systems and Neural Networks · Physics 2008-04-30 Thimo Rohlf , Natali Gulbahce , Christof Teuscher

Percolation theory concerns the emergence of connected clusters that percolate through a networked system. Previous studies ignored the effect that a node outside the percolating cluster may actively induce its inside neighbours to exit the…

Statistical Mechanics · Physics 2013-09-12 Jin-Hua Zhao , Hai-Jun Zhou , Yang-Yu Liu

We study the growth of a directed network, in which the growth is constrained by the cost of adding links to the existing nodes. We propose a new preferential-attachment scheme, in which a new node attaches to an existing node i with…

Statistical Mechanics · Physics 2007-05-23 Volkan Sevim , Per Arne Rikvold

We developed a scheme for evaluating the size of the largest connected subnetwork (giant component) in random networks and the percolation threshold when sites (nodes) and/or bonds (edges) are removed from the networks based on the cavity…

Disordered Systems and Neural Networks · Physics 2010-10-19 Yoshifumi Shiraki , Yoshiyuki Kabashima

Recent study shows that the accuracy of the k-shell method in determining node coreness in a spreading process is largely impacted due to the existence of core-like group, which has a large k-shell index but a low spreading efficiency.…

Physics and Society · Physics 2015-05-28 Ying Liu , Ming Tang , Tao Zhou , Younghae Do

Real time application of deep learning algorithms is often hindered by high computational complexity and frequent memory accesses. Network pruning is a promising technique to solve this problem. However, pruning usually results in irregular…

Neural and Evolutionary Computing · Computer Science 2015-12-31 Sajid Anwar , Kyuyeon Hwang , Wonyong Sung

In the real world, many complex systems interact with other systems. In addition, the intra- or inter-systems for the spread of information about infectious diseases and the transmission of infectious diseases are often not random, but with…

Physics and Society · Physics 2017-08-23 Junbo Jia , Zhen Jin , Xinchu Fu

We study the detailed mechanism of the failure of scale-free networks under intentional attacks. Although it is generally accepted that such networks are very sensitive to targeted attacks, we show that for a particular type of structure…

Physics and Society · Physics 2009-11-13 Lazaros K. Gallos , Panos Argyrakis

There has been a considerable amount of interest in recent years on the robustness of networks to failures. Many previous studies have concentrated on the effects of node and edge removals on the connectivity structure of a static network;…

Statistical Mechanics · Physics 2013-10-24 Brian Karrer , Gourab Ghoshal

The organizational development of growing random networks is investigated. These growing networks are built by adding nodes successively and linking each to an earlier node of degree k with attachment probability A_k. When A_k grows slower…

Statistical Mechanics · Physics 2009-10-31 P. L. Krapivsky , S. Redner

We describe a procedure that allows continuously tuning the average degree $\langle k \rangle$ of uncorrelated networks with power-law degree distribution $p(k)$. Inn order to do this, we modify the low-$k$ region of $p(k)$, while…

Statistical Mechanics · Physics 2022-03-23 Allan Vieira , Judson Moura , Celia Anteneodo

Interconnected complex systems usually undergo disruptions due to internal uncertainties and external negative impacts such as those caused by harsh operating environments or regional natural disaster events. To maintain the operation of…

Machine Learning · Computer Science 2022-07-05 Jiaxin Wu , Pingfeng Wang

Embedded and personal IoT devices are powered by microcontroller units (MCUs), whose extreme resource scarcity is a major obstacle for applications relying on on-device deep learning inference. Orders of magnitude less storage, memory and…

Machine Learning · Computer Science 2022-12-09 Edgar Liberis , Nicholas D. Lane

Scale-free networks, in which the distribution of the degrees obeys a power-law, are ubiquitous in the study of complex systems. One basic network property that relates to the structure of the links found is the degree assortativity, which…

Physics and Society · Physics 2015-06-22 Oliver Williams , Charo I. Del Genio

We examine two properties of complex networks, the robustness against targeted node removal (attack) and the transport efficiency in terms of degree correlation in node connection by numerical evaluation of exact analytic expressions. We…

Physics and Society · Physics 2012-09-25 Toshihiro Tanizawa

In an increasingly connected world, the resilience of networked dynamical systems is important in the fields of ecology, economics, critical infrastructures, and organizational behaviour. Whilst we understand small-scale resilience well,…

Adaptation and Self-Organizing Systems · Physics 2018-08-21 Giannis Moutsinas , Weisi Guo

An analytical approach to calculating bond percolation thresholds, sizes of $k$-cores, and sizes of giant connected components on structured random networks with non-zero clustering is presented. The networks are generated using a…

Statistical Mechanics · Physics 2013-06-06 James P. Gleeson , Sergey Melnik

Deep neural networks (DNNs) deliver outstanding performance, but their complexity often prohibits deployment in resource-constrained settings. Comprehensive structured pruning frameworks based on parameter dependency analysis reduce model…

Machine Learning · Computer Science 2025-07-22 Ganesh Sundaram , Jonas Ulmen , Daniel Görges
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