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Controllability of social networks and the strategic use of random information. 社会网络的可控性与随机信息的策略性使用。
Q1 Mathematics Pub Date : 2017-01-01 Epub Date: 2017-10-13 DOI: 10.1186/s40649-017-0046-2
Marco Cremonini, Francesca Casamassima

Background: This work is aimed at studying realistic social control strategies for social networks based on the introduction of random information into the state of selected driver agents. Deliberately exposing selected agents to random information is a technique already experimented in recommender systems or search engines, and represents one of the few options for influencing the behavior of a social context that could be accepted as ethical, could be fully disclosed to members, and does not involve the use of force or of deception.

Methods: Our research is based on a model of knowledge diffusion applied to a time-varying adaptive network and considers two well-known strategies for influencing social contexts: One is the selection of few influencers for manipulating their actions in order to drive the whole network to a certain behavior; the other, instead, drives the network behavior acting on the state of a large subset of ordinary, scarcely influencing users. The two approaches have been studied in terms of network and diffusion effects. The network effect is analyzed through the changes induced on network average degree and clustering coefficient, while the diffusion effect is based on two ad hoc metrics which are defined to measure the degree of knowledge diffusion and skill level, as well as the polarization of agent interests.

Results: The results, obtained through simulations on synthetic networks, show a rich dynamics and strong effects on the communication structure and on the distribution of knowledge and skills.

Conclusions: These findings support our hypothesis that the strategic use of random information could represent a realistic approach to social network controllability, and that with both strategies, in principle, the control effect could be remarkable.

背景:本研究旨在研究基于将随机信息引入所选驾驶员代理状态的社会网络现实社会控制策略。故意将选定的代理人暴露于随机信息是一种已经在推荐系统或搜索引擎中试验过的技术,它是影响社会环境行为的少数几种选择之一,这种行为可以被认为是合乎道德的,可以向成员充分披露,并且不涉及使用武力或欺骗。方法:本研究基于时变自适应网络的知识扩散模型,考虑了两种众所周知的影响社会环境的策略:一是选择少数影响者操纵他们的行为,以驱动整个网络的某种行为;相反,另一个驱动网络行为作用于一个大子集的普通状态,几乎不影响用户。本文从网络效应和扩散效应两方面对这两种方法进行了研究。网络效应是通过网络平均度和聚类系数的变化来分析的,而扩散效应则是基于两个特定的指标来衡量知识扩散程度和技能水平,以及代理利益的两极分化。结果:通过在合成网络上的模拟得到的结果显示了丰富的动态性和对通信结构和知识和技能分布的强烈影响。结论:这些发现支持了我们的假设,即策略性地使用随机信息可能是实现社会网络可控性的一种现实途径,并且原则上,这两种策略的控制效果都是显著的。
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引用次数: 15
Measuring the value of accurate link prediction for network seeding. 测量网络播播中链路准确预测的价值。
Q1 Mathematics Pub Date : 2017-01-01 Epub Date: 2017-05-18 DOI: 10.1186/s40649-017-0037-3
Yijin Wei, Gwen Spencer

Merging two classic questions: The influence-maximization literature seeks small sets of individuals whose structural placement in the social network can drive large cascades of behavior. Optimization efforts to find the best seed set often assume perfect knowledge of the network topology. Unfortunately, social network links are rarely known in an exact way. When do seeding strategies based on less-than-accurate link prediction provide valuable insight?

Our contribution: We introduce optimized-against-a-sample ([Formula: see text]) performance to measure the value of optimizing seeding based on a noisy observation of a network. Our computational study investigates [Formula: see text] under several threshold-spread models in synthetic and real-world networks. Our focus is on measuring the value of imprecise link information. The level of investment in link prediction that is strategic appears to depend closely on spread model: in some parameter ranges investments in improving link prediction can pay substantial premiums in cascade size. For other ranges, such investments would be wasted. Several trends were remarkably consistent across topologies.

结合两个经典问题:影响力最大化的文献寻求的是一小部分人,他们在社会网络中的结构位置可以驱动大规模的行为级联。寻找最佳种子集的优化工作通常假设完全了解网络拓扑结构。不幸的是,社交网络链接很少以确切的方式被知道。基于不太准确的链接预测的播种策略何时能提供有价值的见解?我们的贡献:我们引入了针对样本的优化([公式:见文本])性能来衡量基于网络噪声观察的优化播种的价值。我们的计算研究在合成网络和现实世界网络的几种阈值扩散模型下进行了研究。我们的重点是衡量不精确链接信息的价值。投资于链路预测的战略水平似乎与传播模型密切相关:在某些参数范围内,投资于改进链路预测可以在级联规模上获得可观的溢价。对于其他范围,这样的投资将是浪费。有几个趋势在各个拓扑中非常一致。
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引用次数: 3
Computation and analysis of temporal betweenness in a knowledge mobilization network. 知识动员网络中时间间隔的计算与分析。
Q1 Mathematics Pub Date : 2017-01-01 Epub Date: 2017-07-10 DOI: 10.1186/s40649-017-0041-7
Amir Afrasiabi Rad, Paola Flocchini, Joanne Gaudet

Background: Highly dynamic social networks, where connectivity continuously changes in time, are becoming more and more pervasive. Knowledge mobilization, which refers to the use of knowledge toward the achievement of goals, is one of the many examples of dynamic social networks. Despite the wide use and extensive study of dynamic networks, their temporal component is often neglected in social network analysis, and statistical measures are usually performed on static network representations. As a result, measures of importance (like betweenness centrality) typically do not reveal the temporal role of the entities involved. Our goal is to contribute to fill this limitation by proposing a form of temporal betweenness measure (foremost betweenness).

Methods: Our method is analytical as well as experimental: we design an algorithm to compute foremost betweenness, and we apply it to a case study to analyze a knowledge mobilization network.

Results: We propose a form of temporal betweenness measure (foremost betweenness) to analyze a knowledge mobilization network and we introduce, for the first time, an algorithm to compute exact foremost betweenness. We then show that this measure, which explicitly takes time into account, allows us to detect centrality roles that were completely hidden in the classical statistical analysis. In particular, we uncover nodes whose static centrality was negligible, but whose temporal role might instead be important to accelerate mobilization flow in the network. We also observe the reverse behavior by detecting nodes with high static centrality, whose role as temporal bridges is instead very low.

Conclusion: In this paper, we focus on a form of temporal betweenness designed to detect accelerators in dynamic networks. By revealing potentially important temporal roles, this study is a first step toward a better understanding of the impact of time in social networks and opens the road to further investigation.

背景:高度动态的社交网络,其中连接不断随时间变化,正变得越来越普遍。知识动员是指利用知识实现目标,是动态社会网络的众多例子之一。尽管动态网络得到了广泛的应用和广泛的研究,但在社会网络分析中,其时间成分往往被忽视,通常对静态网络表示进行统计度量。因此,重要性的度量(如中间性中心性)通常不能揭示所涉及实体的时间角色。我们的目标是通过提出一种时间间接性度量(最重要的间接性)的形式来填补这一限制。方法:我们的方法是分析性和实验性的:我们设计了一个算法来计算最重要的中间性,并将其应用于一个案例研究中来分析一个知识动员网络。结果:我们提出了一种时间间隔性度量(最重要间隔性)来分析知识动员网络,并首次引入了精确计算最重要间隔性的算法。然后,我们表明,这种明确考虑了时间的度量,使我们能够检测到在经典统计分析中完全隐藏的中心性作用。特别是,我们发现了静态中心性可以忽略不计的节点,但其时间作用可能对加速网络中的动员流很重要。我们还通过检测具有高静态中心性的节点观察到相反的行为,这些节点作为时间桥梁的作用非常低。结论:在本文中,我们重点研究了一种用于检测动态网络中的加速器的时间间隔形式。通过揭示潜在重要的时间作用,这项研究是朝着更好地理解时间在社交网络中的影响迈出的第一步,并为进一步的研究开辟了道路。
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引用次数: 12
Effect of direct reciprocity and network structure on continuing prosperity of social networking services. 直接互惠和网络结构对社交网络服务持续繁荣的影响。
Q1 Mathematics Pub Date : 2017-01-01 Epub Date: 2017-05-26 DOI: 10.1186/s40649-017-0038-2
Kengo Osaka, Fujio Toriumi, Toshihauru Sugawara

Background: Social networking services (SNSs) are widely used as communicative tools for a variety of purposes. SNSs rely on the users' individual activities associated with some cost and effort, and thus it is not known why users voluntarily continue to participate in SNSs. Because the structures of SNSs are similar to that of the public goods (PG) game, some studies have focused on why voluntary activities emerge as an optimal strategy by modifying the PG game. However, their models do not include direct reciprocity between users, even though reciprocity is a key mechanism that evolves and sustains cooperation in human society.

Proposed methods: We developed an abstract SNS model called the reciprocity rewards and meta-rewards games that include direct reciprocity by extending the existing models. Then, we investigated how direct reciprocity in an SNS facilitates cooperation that corresponds to participation in SNS by posting articles and comments and how the structure of the networks of users exerts an influence on the strategies of users using the reciprocity rewards game.

Experimental results: We run reciprocity rewards games on various complex networks and an instance network of Facebook and found that two types of stable cooperation emerged. First, reciprocity slightly improves the rate of cooperation in complete graphs but the improvement is insignificant because of the instability of cooperation. However, this instability can be avoided by making two assumptions: high degree of fun, i.e. articles are read with high probability, and different attitudes to reciprocal and non-reciprocal agents. We then propose the concept of half free riders to explain what strategy sustains cooperation-dominant situations. Second, we indicate that a certain WS network structure affects users' optimal strategy and facilitates stable cooperation without any extra assumptions. We give a detailed analysis of the different characteristics of the two types of cooperation-dominant situations and the effect of the memory of reciprocal agents on cooperation.

背景:社交网络服务(Social networking services, sns)作为一种交流工具被广泛应用于各种目的。社交网站依赖于用户的个人活动,这需要付出一定的成本和努力,因此用户自愿继续参与社交网站的原因尚不清楚。由于社交网络的结构与公共物品(PG)游戏的结构相似,一些研究关注的是为什么通过修改PG游戏,自愿活动成为一种最优策略。然而,他们的模型并不包括用户之间的直接互惠,尽管互惠是人类社会发展和维持合作的关键机制。提出的方法:我们开发了一个抽象的SNS模型,称为互惠奖励和元奖励游戏,通过扩展现有模型包括直接互惠。然后,我们研究了社交网络中的直接互惠如何通过发表文章和评论促进与参与社交网络相对应的合作,以及用户网络结构如何影响用户使用互惠奖励游戏的策略。实验结果:我们在各种复杂网络和Facebook实例网络上运行互惠奖励游戏,发现出现了两种类型的稳定合作。首先,互惠在完全图中略微提高了合作率,但由于合作的不稳定性,这种提高是不显著的。然而,这种不稳定性可以通过以下两个假设来避免:高度有趣,即文章被高概率阅读,以及对互惠和非互惠代理的不同态度。然后,我们提出了半搭便车的概念来解释什么策略维持合作主导的情况。其次,在不做任何额外假设的情况下,我们指出一定的WS网络结构会影响用户的最优策略,有利于稳定的合作。详细分析了两种合作优势情境的不同特征,以及互惠主体的记忆对合作的影响。
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引用次数: 15
Coevolution of a multilayer node-aligned network whose layers represent different social relations. 多层节点对齐网络的协同进化,其各层代表不同的社会关系。
Q1 Mathematics Pub Date : 2017-01-01 Epub Date: 2017-11-06 DOI: 10.1186/s40649-017-0047-1
Ashwin Bahulkar, Boleslaw K Szymanski, Kevin Chan, Omar Lizardo

Background: We examine the coevolution of three-layer node-aligned network of university students. The first layer is defined by nominations based on perceived prominence collected from repeated surveys during the first four semesters; the second is a behavioral layer representing actual students' interactions based on records of mobile calls and text messages; while the third is a behavioral layer representing potential face-to-face interactions suggested by bluetooth collocations.

Methods: We address four interrelated questions. First, we ask whether the formation or dissolution of a link in one of the layers precedes or succeeds the formation or dissolution of the corresponding link in another layer (temporal dependencies). Second, we explore the causes of observed temporal dependencies between the layers. For those temporal dependencies that are confirmed, we measure the predictive capability of such dependencies. Third, we observe the progress towards nominations and the stages that lead to them. Finally, we examine whether the differences in dissolution rates of symmetric (undirected) versus asymmetric (directed) links co-exist in all layers.

Results: We find strong patterns of reciprocal temporal dependencies between the layers. In particular, the creation of an edge in either behavioral layer generally precedes the formation of a corresponding edge in the nomination layer. Conversely, the decay of a link in the nomination layer generally precedes a decline in the intensity of communication and collocation. Finally, nodes connected by asymmetric nomination edges have lower overall communication and collocation volumes and more asymmetric communication flows than the nodes linked by symmetric edges.

Conclusion: We find that creation and dissolution of cognitively salient contacts have temporal dependencies with communication and collocation behavior.

研究背景我们研究了大学生三层节点对齐网络的共同演化。第一层是根据前四个学期的重复调查中收集到的感知显著性提名定义的;第二层是根据手机通话和短信记录代表学生实际互动的行为层;第三层是蓝牙连接所暗示的潜在面对面互动的行为层:我们解决了四个相互关联的问题。首先,我们询问其中一层链接的形成或解体是先于还是后于另一层相应链接的形成或解体(时间依赖性)。其次,我们探究各层之间时间依赖关系的原因。对于那些得到证实的时间依赖关系,我们会衡量这种依赖关系的预测能力。第三,我们观察提名的进展情况以及导致提名的各个阶段。最后,我们研究了对称(非定向)和非对称(定向)链接的解散率差异是否在所有层中同时存在:结果:我们发现各层之间存在很强的互时依赖模式。特别是,行为层中任何一个边缘的形成通常都先于提名层中相应边缘的形成。相反,提名层中某一联系的衰减通常先于交流和搭配强度的下降。最后,与对称边缘连接的节点相比,非对称提名边缘连接的节点的总体交流和搭配量更低,非对称交流流量更大:我们发现,认知突出联系人的创建和解散与交流和搭配行为具有时间依赖性。
{"title":"Coevolution of a multilayer node-aligned network whose layers represent different social relations.","authors":"Ashwin Bahulkar, Boleslaw K Szymanski, Kevin Chan, Omar Lizardo","doi":"10.1186/s40649-017-0047-1","DOIUrl":"10.1186/s40649-017-0047-1","url":null,"abstract":"<p><strong>Background: </strong>We examine the coevolution of three-layer node-aligned network of university students. The first layer is defined by nominations based on perceived prominence collected from repeated surveys during the first four semesters; the second is a behavioral layer representing actual students' interactions based on records of mobile calls and text messages; while the third is a behavioral layer representing potential face-to-face interactions suggested by bluetooth collocations.</p><p><strong>Methods: </strong>We address four interrelated questions. First, we ask whether the formation or dissolution of a link in one of the layers precedes or succeeds the formation or dissolution of the corresponding link in another layer (temporal dependencies). Second, we explore the causes of observed temporal dependencies between the layers. For those temporal dependencies that are confirmed, we measure the predictive capability of such dependencies. Third, we observe the progress towards nominations and the stages that lead to them. Finally, we examine whether the differences in dissolution rates of symmetric (undirected) versus asymmetric (directed) links co-exist in all layers.</p><p><strong>Results: </strong>We find strong patterns of reciprocal temporal dependencies between the layers. In particular, the creation of an edge in either behavioral layer generally precedes the formation of a corresponding edge in the nomination layer. Conversely, the decay of a link in the nomination layer generally precedes a decline in the intensity of communication and collocation. Finally, nodes connected by asymmetric nomination edges have lower overall communication and collocation volumes and more asymmetric communication flows than the nodes linked by symmetric edges.</p><p><strong>Conclusion: </strong>We find that creation and dissolution of cognitively salient contacts have temporal dependencies with communication and collocation behavior.</p>","PeriodicalId":52145,"journal":{"name":"Computational Social Networks","volume":"4 1","pages":"11"},"PeriodicalIF":0.0,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5732614/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"35677790","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Stance and influence of Twitter users regarding the Brexit referendum. 推特用户对英国脱欧公投的立场和影响。
Q1 Mathematics Pub Date : 2017-01-01 Epub Date: 2017-07-24 DOI: 10.1186/s40649-017-0042-6
Miha Grčar, Darko Cherepnalkoski, Igor Mozetič, Petra Kralj Novak

Social media are an important source of information about the political issues, reflecting, as well as influencing, public mood. We present an analysis of Twitter data, collected over 6 weeks before the Brexit referendum, held in the UK in June 2016. We address two questions: what is the relation between the Twitter mood and the referendum outcome, and who were the most influential Twitter users in the pro- and contra-Brexit camps? First, we construct a stance classification model by machine learning methods, and are then able to predict the stance of about one million UK-based Twitter users. The demography of Twitter users is, however, very different from the demography of the voters. By applying a simple age-adjusted mapping to the overall Twitter stance, the results show the prevalence of the pro-Brexit voters, something unexpected by most of the opinion polls. Second, we apply the Hirsch index to estimate the influence, and rank the Twitter users from both camps. We find that the most productive Twitter users are not the most influential, that the pro-Brexit camp was four times more influential, and had considerably larger impact on the campaign than the opponents. Third, we find that the top pro-Brexit communities are considerably more polarized than the contra-Brexit camp. These results show that social media provide a rich resource of data to be exploited, but accumulated knowledge and lessons learned from the opinion polls have to be adapted to the new data sources.

社交媒体是政治问题信息的重要来源,反映并影响着公众情绪。我们对2016年6月英国举行脱欧公投前6周收集的推特数据进行了分析。我们解决了两个问题:推特情绪与公投结果之间的关系是什么?在支持和反对英国退欧的阵营中,谁是最有影响力的推特用户?首先,我们通过机器学习方法构建姿态分类模型,然后能够预测大约100万英国Twitter用户的姿态。然而,推特用户的人口统计数据与选民的人口统计数据截然不同。通过对Twitter的总体立场进行简单的年龄调整映射,结果显示了支持英国退欧的选民的普遍程度,这是大多数民意调查都没有预料到的。其次,我们应用赫希指数来估计影响力,并对两个阵营的Twitter用户进行排名。我们发现,最有生产力的Twitter用户并不是最有影响力的,支持英国退欧的阵营的影响力是反对者的四倍,对竞选的影响也要大得多。第三,我们发现,支持英国脱欧的顶级团体比反对英国脱欧的阵营要两极化得多。这些结果表明,社交媒体提供了丰富的数据资源可供利用,但从民意调查中积累的知识和经验教训必须适应新的数据源。
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引用次数: 89
Online network organization of Barcelona en Comú, an emergent movement-party. 在线网络组织巴塞罗那en Comú,一个新兴的运动党。
Q1 Mathematics Pub Date : 2017-01-01 Epub Date: 2017-09-18 DOI: 10.1186/s40649-017-0044-4
Pablo Aragón, Helena Gallego, David Laniado, Yana Volkovich, Andreas Kaltenbrunner

The emerging grassroots party Barcelona en Comú won the 2015 Barcelona City Council election. This candidacy was devised by activists involved in the Spanish 15M movement to transform citizen outrage into political change. On the one hand, the 15M movement was based on a decentralized structure. On the other hand, political science literature postulates that parties develop oligarchical leadership structures. This tension motivates to examine whether Barcelona en Comú preserved a decentralized structure or adopted a conventional centralized organization. In this study we develop a computational methodology to characterize the online network organization of every party in the election campaign on Twitter. Results on the network of retweets reveal that, while traditional parties are organized in a single cluster, for Barcelona en Comú two well-defined groups co-exist: a centralized cluster led by the candidate and party accounts, and a decentralized cluster with the movement activists. Furthermore, results on the network of replies also shows a dual structure: a cluster around the candidate receiving the largest attention from other parties, and another with the movement activists exhibiting a higher predisposition to dialogue with other parties.

新兴的草根政党Barcelona en Comú赢得了2015年巴塞罗那市议会选举。这一候选资格是由参与西班牙15M运动的活动人士设计的,目的是将公民的愤怒转化为政治变革。一方面,15M运动是建立在分权结构的基础上的。另一方面,政治科学文献假设政党发展寡头领导结构。这种紧张关系促使人们审视巴塞罗那(Comú)是否保留了分散的结构,还是采用了传统的集中组织。在这项研究中,我们开发了一种计算方法来描述Twitter上竞选活动中每个政党的在线网络组织。转发网络的结果显示,虽然传统政党是在一个集群中组织的,但对于Barcelona en Comú来说,两个定义明确的群体并存:由候选人和政党账户领导的集中式集群,以及由运动活动家领导的分散集群。此外,在回复网络上的结果也显示出双重结构:一组围绕着获得其他政党最大关注的候选人,另一组围绕着运动积极分子表现出与其他政党对话的更高倾向。
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引用次数: 5
Using attractiveness model for actors ranking in social media networks. 利用吸引力模型对社交媒体网络中的演员进行排名。
Q1 Mathematics Pub Date : 2017-01-01 Epub Date: 2017-06-26 DOI: 10.1186/s40649-017-0040-8
Ziyaad Qasem, Marc Jansen, Tobias Hecking, H Ulrich Hoppe

Background: Influential actors detection in social media such as Twitter or Facebook can play a major role in gathering opinions on particular topics, improving the marketing efficiency, predicting the trends, etc.

Proposed methods: This work aims to extend our formally defined T measure to present a new measure aiming to recognize the actor's influence by the strength of attracting new important actors into a networked community. Therefore, we propose a model of the actor's influence based on the attractiveness of the actor in relation to the number of other attractors with whom he/she has established connections over time.

Results and conclusions: Using an empirically collected social network for the underlying graph, we have applied the above-mentioned measure of influence in order to determine optimal seeds in a simulation of influence maximization. We study our extended measure in the context of information diffusion because this measure is based on a model of actors who attract others to be active members in a community. This corresponds to the idea of the IC simulation model which is used to identify the most important spreaders in a set of actors.

背景:Twitter或Facebook等社交媒体中有影响力的行动者检测可以在收集特定话题的意见,提高营销效率,预测趋势等方面发挥重要作用。提出的方法:本工作旨在扩展我们正式定义的T测度,提出一种新的测度,旨在通过吸引新的重要行动者进入网络社区的力量来识别行动者的影响力。因此,我们提出了一个演员的影响力模型,该模型基于演员的吸引力与他/她随时间建立联系的其他吸引者的数量之间的关系。结果和结论:使用经验性收集的社会网络作为基础图,我们已经应用了上述影响度量,以便在影响最大化模拟中确定最佳种子。我们在信息扩散的背景下研究我们的扩展测量,因为这个测量是基于一个参与者模型,他们吸引其他人成为社区中的活跃成员。这与IC模拟模型的思想相对应,该模型用于识别一组参与者中最重要的传播者。
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引用次数: 3
Steering opinion dynamics via containment control. 通过遏制控制引导舆论动态。
Q1 Mathematics Pub Date : 2017-01-01 Epub Date: 2017-11-27 DOI: 10.1186/s40649-017-0048-0
Pietro DeLellis, Anna DiMeglio, Franco Garofalo, Francesco Lo Iudice

In this paper, we model the problem of influencing the opinions of groups of individuals as a containment control problem, as in many practical scenarios, the control goal is not full consensus among all the individual opinions, but rather their containment in a certain range, determined by a set of leaders. As in classical bounded confidence models, we consider individuals affected by the confirmation bias, thus tending to influence and to be influenced only if their opinions are sufficiently close. However, here we assume that the confidence level, modeled as a proximity threshold, is not constant and uniform across the individuals, as it depends on their opinions. Specifically, in an extremist society, the most radical agents (i.e., those with the most extreme opinions) have a higher appeal and are capable of influencing nodes with very diverse opinions. The opposite happens in a moderate society, where the more connected (i.e., influential) nodes are those with an average opinion. In three artificial societies, characterized by different levels of extremism, we test through extensive simulations the effectiveness of three alternative containment strategies, where leaders have to select the set of followers they try to directly influence. We found that, when the network size is small, a stochastic time-varying pinning strategy that does not rely on information on the network topology proves to be more effective than static strategies where this information is leveraged, while the opposite happens for large networks where the relevance of the topological information is prevalent.

在本文中,我们将影响个体群体意见的问题建模为遏制控制问题,因为在许多实际场景中,控制目标不是所有个体意见的完全一致,而是由一组领导者确定的将其遏制在一定范围内。在经典的有界置信模型中,我们考虑受确认偏差影响的个体,因此只有当他们的意见足够接近时,才倾向于影响和被影响。然而,在这里,我们假设置信水平(建模为接近阈值)在个体之间不是恒定和统一的,因为它取决于他们的意见。具体来说,在极端主义社会中,最激进的行动者(即观点最极端的人)具有更高的号召力,能够影响观点非常多样化的节点。在一个温和的社会中,情况正好相反,在那里,更有联系(即有影响力)的节点是那些持平均意见的节点。在三个极端主义程度不同的人造社会中,我们通过广泛的模拟测试了三种替代遏制策略的有效性,其中领导者必须选择他们试图直接影响的追随者。我们发现,当网络规模较小时,不依赖于网络拓扑信息的随机时变固定策略被证明比利用该信息的静态策略更有效,而对于拓扑信息相关性普遍存在的大型网络则相反。
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引用次数: 3
Hierarchical community detection via rank-2 symmetric nonnegative matrix factorization. 基于秩-2对称非负矩阵分解的分层社团检测。
Q1 Mathematics Pub Date : 2017-01-01 Epub Date: 2017-09-08 DOI: 10.1186/s40649-017-0043-5
Rundong Du, Da Kuang, Barry Drake, Haesun Park

Background: Community discovery is an important task for revealing structures in large networks. The massive size of contemporary social networks poses a tremendous challenge to the scalability of traditional graph clustering algorithms and the evaluation of discovered communities.

Methods: We propose a divide-and-conquer strategy to discover hierarchical community structure, nonoverlapping within each level. Our algorithm is based on the highly efficient rank-2 symmetric nonnegative matrix factorization. We solve several implementation challenges to boost its efficiency on modern computer architectures, specifically for very sparse adjacency matrices that represent a wide range of social networks.

Conclusions: Empirical results have shown that our algorithm has competitive overall efficiency and leading performance in minimizing the average normalized cut, and that the nonoverlapping communities found by our algorithm recover the ground-truth communities better than state-of-the-art algorithms for overlapping community detection. In addition, we present a new dataset of the DBLP computer science bibliography network with richer meta-data and verifiable ground-truth knowledge, which can foster future research in community finding and interpretation of communities in large networks.

背景:社区发现是揭示大型网络结构的重要任务。当代社交网络的巨大规模对传统的图聚类算法的可扩展性和发现社区的评估提出了巨大的挑战。方法:提出了一种分而治之的策略来发现分层的社区结构,每个层次内部不重叠。该算法基于高效的秩-2对称非负矩阵分解。我们解决了几个实现挑战,以提高其在现代计算机体系结构上的效率,特别是对于代表广泛社会网络的非常稀疏的邻接矩阵。结论:实验结果表明,我们的算法在最小化平均归一化切割方面具有竞争力的整体效率和领先的性能,并且我们的算法发现的非重叠社区比最先进的重叠社区检测算法更好地恢复了真实社区。此外,我们提出了一个新的DBLP计算机科学书目网络数据集,它具有更丰富的元数据和可验证的基础事实知识,可以促进未来在大型网络中社区发现和社区解释的研究。
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引用次数: 10
期刊
Computational Social Networks
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