• 제목/요약/키워드: Weighted Networks

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Community Discovery in Weighted Networks Based on the Similarity of Common Neighbors

  • Liu, Miaomiao;Guo, Jingfeng;Chen, Jing
    • Journal of Information Processing Systems
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    • 제15권5호
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    • pp.1055-1067
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    • 2019
  • In view of the deficiencies of existing weighted similarity indexes, a hierarchical clustering method initialize-expand-merge (IEM) is proposed based on the similarity of common neighbors for community discovery in weighted networks. Firstly, the similarity of the node pair is defined based on the attributes of their common neighbors. Secondly, the most closely related nodes are fast clustered according to their similarity to form initial communities and expand the communities. Finally, communities are merged through maximizing the modularity so as to optimize division results. Experiments are carried out on many weighted networks, which have verified the effectiveness of the proposed algorithm. And results show that IEM is superior to weighted common neighbor (CN), weighted Adamic-Adar (AA) and weighted resources allocation (RA) when using the weighted modularity as evaluation index. Moreover, the proposed algorithm can achieve more reasonable community division for weighted networks compared with cluster-recluster-merge-algorithm (CRMA) algorithm.

가중 네트워크를 위한 일반화된 지역중심성 지수 (A Generalized Measure for Local Centralities in Weighted Networks)

  • 이재윤
    • 정보관리학회지
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    • 제32권2호
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    • pp.7-23
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    • 2015
  • 네트워크 분석이 확산되면서 매개중심성이나 연결정도중심성과 같은 다양한 중심성 지수가 개발되어 활용되고 있으나, 가중 네트워크에서 지역중심성을 측정할 수 있는 지수로는 최근접이웃중심성 이외에는 거의 알려져 있지 않다. 이 연구에서는 가중 네트워크를 위한 일반화된 지역중심성 지수인 이웃중심성 지수를 새롭게 제안한다. 이웃중심성 지수는 파라미터 ${\alpha}$를 사용하여 이진 네트워크를 위한 연결정도중심성 지수와 가중 네트워크를 위한 최근접이웃중심성 지수를 일반화한 것이다. 6가지 실제 네트워크 데이터를 대상으로 하여 제안된 지수의 특징과 적정 파라미터 값을 살펴보는 실험을 수행하고 결과를 보고하였다.

WEIGHTED PSEUDO ALMOST PERIODIC SOLUTIONS OF HOPFIELD ARTIFICIAL NEURAL NETWORKS WITH LEAKAGE DELAY TERMS

  • Lee, Hyun Mork
    • 충청수학회지
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    • 제34권3호
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    • pp.221-234
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    • 2021
  • We introduce high-order Hopfield neural networks with Leakage delays. Furthermore, we study the uniqueness and existence of Hopfield artificial neural networks having the weighted pseudo almost periodic forcing terms on finite delay. Our analysis is based on the differential inequality techniques and the Banach contraction mapping principle.

ON STEPANOV WEIGHTED PSEUDO ALMOST AUTOMORPHIC SOLUTIONS OF NEURAL NETWORKS

  • Lee, Hyun Mork
    • Korean Journal of Mathematics
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    • 제30권3호
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    • pp.491-502
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    • 2022
  • In this paper we investigate some sufficient conditions to guarantee the existence and uniqueness of Stepanov-like weighted pseudo almost periodic solutions of cellular neural networks on Clifford algebra for non-automomous cellular neural networks with multi-proportional delays. Our analysis is based on the differential inequality techniques and the Banach contraction mapping principle.

공동연구 네트워크 분석을 위한 중심성 지수에 대한 비교 연구 (A Comparative Study on the Centrality Measures for Analyzing Research Collaboration Networks)

  • 이재윤
    • 정보관리학회지
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    • 제31권3호
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    • pp.153-179
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    • 2014
  • 이 연구의 목적은 공동연구 네트워크에서 연구자의 영향력과 입지를 분석하는데 사용되는 중심성 지수들의 특징에 대해서 고찰하는 것이다. 전통적인 이진 네트워크 중심성 지수로는 연결정도중심성, 매개중심성, 근접중심성, 페이지랭크를 다루었고, 공동연구 네트워크에서의 중심성을 측정하기 위해서 개발되었거나 사용된 가중 네트워크 중심성 지수로는 삼각매개중심성, 평균연관성, 가중페이지랭크, 공동연구 h-지수와 공동연구 hs-지수, 복합연결정도중심성, c-지수에 대해서 살펴보았으며, 새로운 지수로 제곱근합 지수 SSR을 제안하였다. 이들 12종의 중심성 지수를 건축학, 문헌정보학, 마케팅 분야의 세 가지 공동연구 네트워크에 적용해본 결과 각 지수들의 특성과 지수 간 관계를 파악할 수 있었다. 분석 결과 공동연구 네트워크에서 공동연구 범위와 공동연구 강도를 모두 고려하기 위해서는 가중 네트워크 중심성 지수를 사용해야 하는 것으로 나타났다. 특히 공동연구 범위와 강도를 모두 고려하는 전역중심성을 측정하기 위해서는 삼각매개중심성 지수를 사용하고, 지역중심성을 측정하기 위해서는 SSR 지수를 사용하는 것이 바람직하다고 제안하였다.

STEPANOV ALMOST PERIODIC SOLUTIONS OF CLIFFORD-VALUED NEURAL NETWORKS

  • Lee, Hyun Mork
    • 충청수학회지
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    • 제35권1호
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    • pp.39-52
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    • 2022
  • We introduce Clifford-valued neural networks with leakage delays. Furthermore, we study the uniqueness and existence of Clifford-valued Hopfield artificial neural networks having the Stepanov weighted pseudo almost periodic forcing terms on leakage delay terms. However the noncommutativity of the Clifford numbers' multiplication made our investigation diffcult, so our results are obtained by decomposing Clifford-valued neural networks into real-valued neural networks. Our analysis is based on the differential inequality techniques and the Banach contraction mapping principle.

Privacy Protection Method for Sensitive Weighted Edges in Social Networks

  • Gong, Weihua;Jin, Rong;Li, Yanjun;Yang, Lianghuai;Mei, Jianping
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제15권2호
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    • pp.540-557
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    • 2021
  • Privacy vulnerability of social networks is one of the major concerns for social science research and business analysis. Most existing studies which mainly focus on un-weighted network graph, have designed various privacy models similar to k-anonymity to prevent data disclosure of vertex attributes or relationships, but they may be suffered from serious problems of huge information loss and significant modification of key properties of the network structure. Furthermore, there still lacks further considerations of privacy protection for important sensitive edges in weighted social networks. To address this problem, this paper proposes a privacy preserving method to protect sensitive weighted edges. Firstly, the sensitive edges are differentiated from weighted edges according to the edge betweenness centrality, which evaluates the importance of entities in social network. Then, the perturbation operations are used to preserve the privacy of weighted social network by adding some pseudo-edges or modifying specific edge weights, so that the bottleneck problem of information flow can be well resolved in key area of the social network. Experimental results show that the proposed method can not only effectively preserve the sensitive edges with lower computation cost, but also maintain the stability of the network structures. Further, the capability of defending against malicious attacks to important sensitive edges has been greatly improved.

Utility Bounds of Joint Congestion and Medium Access Control for CSMA based Wireless Networks

  • Wang, Tao;Yao, Zheng;Zhang, Baoxian;Li, Cheng
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제11권1호
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    • pp.193-214
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    • 2017
  • In this paper, we study the problem of network utility maximization in a CSMA based multi-hop wireless network. Existing work in this aspect typically adopted continuous time Markov model for performance modelling, which fails to consider the channel conflict impact in actual CSMA networks. To maximize the utility of a CSMA based wireless network with channel conflict, in this paper, we first model its weighted network capacity (i.e., network capacity weighted by link queue length) and then propose a distributed link scheduling algorithm, called CSMA based Maximal-Weight Scheduling (C-MWS), to maximize the weighted network capacity. We derive the upper and lower bounds of network utility based on C-MWS. The derived bounds can help us to tune the C-MWS parameters for C-MWS to work in a distributed wireless network. Simulation results show that the joint optimization based on C-MWS can achieve near-optimal network utility when appropriate algorithm parameters are chosen and also show that the derived utility upper bound is very tight.

Effect of Nonlinear Transformations on Entropy of Hidden Nodes

  • Oh, Sang-Hoon
    • International Journal of Contents
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    • 제10권1호
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    • pp.18-22
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    • 2014
  • Hidden nodes have a key role in the information processing of feed-forward neural networks in which inputs are processed through a series of weighted sums and nonlinear activation functions. In order to understand the role of hidden nodes, we must analyze the effect of the nonlinear activation functions on the weighted sums to hidden nodes. In this paper, we focus on the effect of nonlinear functions in a viewpoint of information theory. Under the assumption that the nonlinear activation function can be approximated piece-wise linearly, we prove that the entropy of weighted sums to hidden nodes decreases after piece-wise linear functions. Therefore, we argue that the nonlinear activation function decreases the uncertainty among hidden nodes. Furthermore, the more the hidden nodes are saturated, the more the entropy of hidden nodes decreases. Based on this result, we can say that, after successful training of feed-forward neural networks, hidden nodes tend not to be in linear regions but to be in saturated regions of activation function with the effect of uncertainty reduction.

Monitoring social networks based on transformation into categorical data

  • Lee, Joo Weon;Lee, Jaeheon
    • Communications for Statistical Applications and Methods
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    • 제29권4호
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    • pp.487-498
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    • 2022
  • Social network analysis (SNA) techniques have recently been developed to monitor and detect abnormal behaviors in social networks. As a useful tool for process monitoring, control charts are also useful for network monitoring. In this paper, the degree and closeness centrality measures, in which each has global and local perspectives, respectively, are applied to an exponentially weighted moving average (EWMA) chart and a multinomial cumulative sum (CUSUM) chart for monitoring undirected weighted networks. In general, EWMA charts monitor only one variable in a single chart, whereas multinomial CUSUM charts can monitor a categorical variable, in which several variables are transformed through classification rules, in a single chart. To monitor both degree centrality and closeness centrality simultaneously, we categorize them based on the average of each measure and then apply to the multinomial CUSUM chart. In this case, the global and local attributes of the network can be monitored simultaneously with a single chart. We also evaluate the performance of the proposed procedure through a simulation study.