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A certain complexity threshold is proposed which defines the term `complex network' for RSN, e.g. Kauffman networks with s>=2 - more than two equally probable state variants. Such Kauffman networks are no longer Boolean networks. RSN are…

Disordered Systems and Neural Networks · Physics 2010-04-23 Andrzej Gecow

We present a systematic and detailed study of the robustness of directed networks under random and targeted removal of links. We work with a set of network models of random and scale free type, generated with specific features of clustering…

Physics and Society · Physics 2018-10-17 G. Kashyap , G. Ambika

We propose an algorithm to locate the most critical nodes to network robustness. Such critical nodes may be thought of as those most related to the notion of network centrality. Our proposal relies only on a localized spectral analysis of a…

Networking and Internet Architecture · Computer Science 2011-08-04 Klaus Wehmuth , Artur Ziviani

In this paper a numerical multiscale method for discrete networks is presented. The method gives an accurate coarse scale representation of the full network by solving sub-network problems. The method is used to solve problems with highly…

Numerical Analysis · Mathematics 2018-10-12 Gustav Kettil , Axel Målqvist , Andreas Mark , Mats Fredlund , Kenneth Wester , Fredrik Edelvik

In the study of complex networks almost all theoretical models have the property of infinite growth, but the size of actual networks is finite. According to statistics from the China Internet IPv4 (Internet Protocol version 4) addresses,…

Computational Physics · Physics 2015-05-18 Jin-Li Guo

In many complex systems, the interactions between objects span multiple aspects. Multiplex networks are accurate paradigms to model such systems, where each edge is associated with a type. A key graph mining primitive is extracting dense…

Social and Information Networks · Computer Science 2024-06-21 Farnoosh Hashemi , Ali Behrouz

Random networks are a powerful tool in the analytical modeling of complex networks as they allow us to write approximate mathematical models for diverse properties and behaviors of networks. One notable shortcoming of these models is that…

Physics and Society · Physics 2023-07-10 Laurent Hébert-Dufresne , Márton Pósfai , Antoine Allard

A distribution system can flexibly adjust its substation-level power output by aggregating its local distributed energy resources (DERs). Due to DER and network constraints, characterizing the exact feasible power output region is…

Optimization and Control · Mathematics 2023-10-10 Qi Li , Jianzhe Liu , Bai Cui , Wenzhan Song , Jin Ye

Recently, real world networks having constant/shrinking diameter along with power-law degree distribution are observed and investigated in literature. Taking an inspiration from these findings, we propose a deterministic complex network…

Discrete Mathematics · Computer Science 2015-09-30 Rohan Sharma , Bibhas Adhikari

This paper addresses the problem of learning a sparse structure Bayesian network from high-dimensional discrete data. Compared to continuous Bayesian networks, learning a discrete Bayesian network is a challenging problem due to the large…

Machine Learning · Computer Science 2022-09-27 Nazanin Shajoonnezhad , Amin Nikanjam

With recent advancing of Internet of Things (IoTs), it becomes very attractive to implement the deep convolutional neural networks (DCNNs) onto embedded/portable systems. Presently, executing the software-based DCNNs requires…

Computer Vision and Pattern Recognition · Computer Science 2017-02-01 Ao Ren , Ji Li , Zhe Li , Caiwen Ding , Xuehai Qian , Qinru Qiu , Bo Yuan , Yanzhi Wang

Training a deep neural network is a non-trivial task. Not only the tuning of hyperparameters, but also the gathering and selection of training data, the design of the loss function, and the construction of training schedules is important to…

Computer Vision and Pattern Recognition · Computer Science 2019-04-15 René Schuster , Oliver Wasenmüller , Christian Unger , Didier Stricker

This paper presents significantly improved deterministic algorithms for some of the key problems in the area of distributed graph algorithms, including network decomposition, hitting sets, and spanners. As the main ingredient in these…

Data Structures and Algorithms · Computer Science 2022-09-26 Mohsen Ghaffari , Christoph Grunau , Bernhard Haeupler , Saeed Ilchi , Václav Rozhoň

How big is the risk that a few initial failures of nodes in a network amplify to large cascades that span a substantial share of all nodes? Predicting the final cascade size is critical to ensure the functioning of a system as a whole. Yet,…

Physics and Society · Physics 2018-02-12 Rebekka Burkholz , Hans J. Herrmann , Frank Schweitzer

Random linear network codes can be designed and implemented in a distributed manner, with low computational complexity. However, these codes are classically implemented over finite fields whose size depends on some global network parameters…

Information Theory · Computer Science 2010-08-04 Tracey Ho , Sidharth Jaggi , Svitlana Vyetrenko , Lingxiao Xia

Emerging applications of machine learning in numerous areas involve continuous gathering of and learning from streams of data. Real-time incorporation of streaming data into the learned models is essential for improved inference in these…

Machine Learning · Computer Science 2020-12-01 Matthew Nokleby , Haroon Raja , Waheed U. Bajwa

This paper presents adaptive link selection algorithms for distributed estimation and considers their application to wireless sensor networks and smart grids. In particular, exhaustive search--based least--mean--squares(LMS)/recursive least…

Systems and Control · Computer Science 2015-10-20 S. Xu , R. C. de Lamare , H. V. Poor

Many evolving complex systems can be modeled via dynamic networks. An important problem in dynamic network research is community detection, which identifies groups of topologically related nodes. Typically, this problem is approached by…

Social and Information Networks · Computer Science 2016-05-06 Yuriy Hulovatyy , Tijana Milenkovic

One of the outstanding problems in complexity science and dynamical system theory is understanding the dynamic behavior of high-dimensional networked systems and their susceptibility to transitions to undesired states. Because of varied…

Dynamical Systems · Mathematics 2022-06-24 Chengyi Tu

We present two novel hyperparameter optimization strategies for optimization of deep learning models with a modular architecture constructed of multiple subnetworks. As complex networks with multiple subnetworks become more frequently…

Machine Learning · Computer Science 2022-02-25 Alex H. Treacher , Albert Montillo