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One of the main tasks of post-genomic informatics is to systematically investigate all molecules and their interactions within a living cell so as to understand how these molecules and the interactions between them relate to the function of…

Molecular Networks · Quantitative Biology 2007-05-23 Jing Zhao , Hong Yu , Jianhua Luo , Z. W. Cao , Yi-Xue Li

A complex-valued convolutional network (convnet) implements the repeated application of the following composition of three operations, recursively applying the composition to an input vector of nonnegative real numbers: (1) convolution with…

Machine Learning · Computer Science 2016-05-04 Joan Bruna , Soumith Chintala , Yann LeCun , Serkan Piantino , Arthur Szlam , Mark Tygert

We propose a novel approach for analysing time series using complex network theory. We identify the recurrence matrix calculated from time series with the adjacency matrix of a complex network, and apply measures for the characterisation of…

Chaotic Dynamics · Physics 2009-10-17 N. Marwan , J. F. Donges , Y. Zou , R. V. Donner , J. Kurths

The problem of controlling complex networks is of interest to disciplines ranging from biology to swarm robotics. However, controllability can be too strict a condition, failing to capture a range of desirable behaviors. Herdability, which…

Systems and Control · Computer Science 2018-05-01 Sebastian F. Ruf , Magnus Egersted , Jeff S. Shamma

In this paper we study a simple cascading process in a structured heterogeneous population, namely, a network composed of two loosely coupled communities. We demonstrate that under certain conditions the cascading dynamics in such a network…

Statistical Mechanics · Physics 2008-03-14 Aram Galstyan , Paul Cohen

This paper is an overview of studying the solar features in a complex network approach. First, we introduce the structural features of complex networks and important network parameters. Applying the detrended fluctuation and rescaled range…

Solar and Stellar Astrophysics · Physics 2024-10-15 Somayeh Taran

Information of localization properties of eigenvectors of the complex network has applicability in many different areas which include networks centrality measures, spectral partitioning, development of approximation algorithms, and disease…

Physics and Society · Physics 2021-09-29 Priodyuti Pradhan , Sarika Jalan

Community detection, which focuses on clustering nodes or detecting communities in (mostly) a single network, is a problem of considerable practical interest and has received a great deal of attention in the research community. While being…

Machine Learning · Statistics 2017-11-07 Soumendu Sundar Mukherjee , Purnamrita Sarkar , Lizhen Lin

The non-trivial structure of such complex systems makes the analysis of their collective behavior a challenge. The problem is even more difficult when the information is distributed across networks (e.g., communication networks in different…

Social and Information Networks · Computer Science 2018-02-08 Carlo Spatocco , Giovanni Stilo , Carlotta Domeniconi , Alessandro D'Andrea

The structure entropy is an important index to illuminate the structure property of the complex network. Most of the existing structure entropies are based on the degree distribution of the complex network. But the structure entropy based…

Social and Information Networks · Computer Science 2014-08-27 Qi Zhang , Meizhu Li , Yong Deng

A fundamental property of complex networks is the tendency for edges to cluster. The extent of the clustering is typically quantified by the clustering coefficient, which is the probability that a length-2 path is closed, i.e., induces a…

Social and Information Networks · Computer Science 2018-05-23 Hao Yin , Austin R. Benson , Jure Leskovec

Network topology is a fundamental aspect of network science that allows us to gather insights into the complicated relational architectures of the world we inhabit. We provide a first specific study of neighbourhood degree sequences in…

Social and Information Networks · Computer Science 2019-06-11 Keith M. Smith

Complex networks can be used to represent complex systems which originate in the real world. Here we study a transformation of these complex networks into simplicial complexes, where cliques represent the simplices of the complex. We extend…

Social and Information Networks · Computer Science 2017-09-04 Ernesto Estrada , Grant Ross

This work introduces a novel convolutional network architecture for the task of human pose estimation. Features are processed across all scales and consolidated to best capture the various spatial relationships associated with the body. We…

Computer Vision and Pattern Recognition · Computer Science 2016-07-27 Alejandro Newell , Kaiyu Yang , Jia Deng

The scaling properties of spectra of real world complex networks are studied by using the wavelet transform. It is found that the spectra of networks are multifractal. According to the values of the long-range correlation exponent, the Hust…

Physics and Society · Physics 2009-11-13 Huijie Yang , Chuanyang Yin , Guimei Zhu , Baowen Li

This article discusses how concepts and methods of complex networks can be applied to real-time imaging and computer vision. After a brief introduction of complex networks basic concepts, their use as means to represent and characterize…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Luciano da Fontoura Costa

Community structure in networks is often a consequence of homophily, or assortative mixing, based on some attribute of the vertices. For example, researchers may be grouped into communities corresponding to their research topic. This is…

Physics and Society · Physics 2012-02-15 Steve Gregory

Many systems, ranging from biological and engineering systems to social systems, can be modeled as directed networks, with links representing directed interaction between two nodes. To assess the importance of a node in a directed network,…

Physics and Society · Physics 2009-11-06 Naoki Masuda , Yoji Kawamura , Hiroshi Kori

Many complex systems can be described in terms of networks of interacting units. Recent studies have shown that a wide class of both natural and artificial nets display a surprisingly widespread feature: the presence of highly heterogeneous…

Disordered Systems and Neural Networks · Physics 2007-05-23 R. Ferrer i Cancho , R. V. Sole

Methods from statistical physics, such as those involving complex networks, have been increasingly used in quantitative analysis of linguistic phenomena. In this paper, we represented pieces of text with different levels of simplification…

Physics and Society · Physics 2013-02-20 Diego R. Amancio , Sandra M. Aluisio , Osvaldo N. Oliveira , Luciano da F. Costa
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