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Mapping a complex network to an atomic cluster, the Anderson localization theory is used to obtain the load distribution on a complex network. Based upon an intelligence-limited model we consider the load distribution and the congestion and…

Disordered Systems and Neural Networks · Physics 2007-05-23 Huijie Yang , Fangcui Zhao , Tao Zhou , Wenxu Wang , Binghong Wang

One of the paramount challenges in neuroscience is to understand the dynamics of individual neurons and how they give rise to network dynamics when interconnected. Historically, researchers have resorted to graph theory, statistics, and…

Neurons and Cognition · Quantitative Biology 2019-02-08 Jean-Baptiste Bardin , Gard Spreemann , Kathryn Hess

Accurately analyzing graph properties of social networks is a challenging task because of access limitations to the graph data. To address this challenge, several algorithms to obtain unbiased estimates of properties from few samples via a…

Social and Information Networks · Computer Science 2020-07-14 Kazuki Nakajima , Kazuyuki Shudo

Complex networks contain complete subgraphs such as nodes, edges, triangles, etc., referred to as simplices and cliques of different orders. Notably, cavities consisting of higher-order cliques play an important role in brain functions.…

Neural and Evolutionary Computing · Computer Science 2021-11-02 Dinghua Shi , Zhifeng Chen , Xiang Sun , Qinghua Chen , Chuang Ma , Yang Lou , Guanrong Chen

Attributed graphs model real networks by enriching their nodes with attributes accounting for properties. Several techniques have been proposed for partitioning these graphs into clusters that are homogeneous with respect to both semantic…

Social and Information Networks · Computer Science 2017-08-29 Alessandro Baroni , Alessio Conte , Maurizio Patrignani , Salvatore Ruggieri

The analysis of networks characterized by links with heterogeneous intensity or weight suffers from two long-standing problems of arbitrariness. On one hand, the definitions of topological properties introduced for binary graphs can be…

Data Analysis, Statistics and Probability · Physics 2014-04-28 Diego Garlaschelli , Sebastian E. Ahnert , Thomas M. A. Fink , Guido Caldarelli

Most research concerning the influence of network structure on phenomena taking place on the network focus on relationships between global statistics of the network structure and characteristic properties of those phenomena, even though…

Social and Information Networks · Computer Science 2012-03-07 Tomoyuki Yuasa , Susumu Shirayama

This work is devoted to the study of communication subsystem of networks-onchip (NoCs) development with an emphasis on their topologies. The main characteristics of NoC topologies and the routing problem in NoCs with various topologies are…

Hardware Architecture · Computer Science 2019-05-02 Aleksandr Yu. Romanov

Symmetries in a network connectivity regulate how the graph's functioning organizes into clustered states. Classical methods for tracing the symmetry group of a network require very high computational costs, and therefore they are of hard,…

Adaptation and Self-Organizing Systems · Physics 2022-01-05 Pitambar Khanra , Subrata Ghosh , Karin Alfaro-Bittner , Prosenjit Kundu , Stefano Boccaletti , Chittaranjan Hens , Pinaki Pal

Recurrence networks are powerful tools used effectively in the nonlinear analysis of time series data. The analysis in this context is done mostly with unweighted and undirected complex networks constructed with specific criteria from the…

Chaotic Dynamics · Physics 2017-09-18 Rinku Jacob , K. P. Harikrishnan , R. Misra , G. Ambika

Semblance velocity analysis is a crucial step in seismic data processing. To avoid the huge time-cost when performed manually, some deep learning methods are proposed for automatic semblance velocity picking. However, the application of…

Geophysics · Physics 2022-07-04 Chenyu Qiu , Bangyu Wu , Meng Li , Hui Yang , Xu Zhu

Plenty of algorithms for link prediction have been proposed and were applied to various real networks. Among these works, the weights of links are rarely taken into account. In this paper, we use local similarity indices to estimate the…

Information Retrieval · Computer Science 2009-08-14 Linyuan Lu , Tao Zhou

Latent position models are widely used for the analysis of networks in a variety of research fields. In fact, these models possess a number of desirable theoretical properties, and are particularly easy to interpret. However, statistical…

Computation · Statistics 2023-03-08 Riccardo Rastelli , Florian Maire , Nial Friel

We study tensor networks as a model of arithmetic computation for evaluating multilinear maps. These capture any algorithm based on low border rank tensor decompositions, such as $O(n^{\omega+\epsilon})$ time matrix multiplication, and in…

Computational Complexity · Computer Science 2018-11-16 Per Austrin , Petteri Kaski , Kaie Kubjas

This paper is concerned with distributed computation of several commonly used centrality measures in complex networks. In particular, we propose deterministic algorithms, which converge in finite time, for the distributed computation of the…

Systems and Control · Computer Science 2016-11-15 Keyou You , Roberto Tempo , Li Qiu

Recently, in the paper "Weight Agnostic Neural Networks" Gaier & Ha utilized architecture search to find networks where the topology completely encodes the knowledge. However, architecture search in topology space is expensive. We use the…

Machine Learning · Computer Science 2020-05-05 Amey Agrawal , Rohit Karlupia

Authorship attribution is the process of identifying the author of a text. Approaches to tackling it have been conventionally divided into classification-based ones, which work well for small numbers of candidate authors, and…

Computation and Language · Computer Science 2021-05-18 Chakaveh Saedi , Mark Dras

Vital nodes identification is an essential problem in network science. Various methods have been proposed to solve this problem. In particular, based on the gravity model, a series of improved gravity models are proposed to find vital nodes…

Social and Information Networks · Computer Science 2022-06-02 Hanwen Li , Qiuyan Shang , Yong Deng

Decompositions of networks are useful not only for structural exploration. They also have implications and use in analysis and computational solution of processes (such as the Ising model, percolation, SIR model) running on a given network.…

Disordered Systems and Neural Networks · Physics 2020-04-29 Konstantin Klemm

We propose a new method for quantitative characterization of spatial network-like patterns with loops, such as surface fracture patterns, leaf vein networks and patterns of urban streets. Such patterns are not well characterized by purely…

Pattern Formation and Solitons · Physics 2015-05-20 Andrea Perna , Pascale Kuntz , Stéphane Douady