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Changes in patient-sharing patterns after oncologist departures in rural and urban settings: a Medicare cohort study. 农村和城市肿瘤学家离职后患者共享模式的变化:一项医疗保险队列研究。
IF 1.5 Q3 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2026-01-01 Epub Date: 2025-12-02 DOI: 10.1007/s41109-025-00762-3
Sarah L Cornelius, A James O'Malley, Gabriel A Brooks, Anna N A Tosteson, Andrew Schaefer, Erika L Moen

Cancer care relies on effective coordination within a multidisciplinary care team. Changes to teams due to departures remain understudied despite rising oncologist turnover in the United States. In this study, we aimed to investigate the impact of oncologist departures on the remaining care team members. We used Medicare claims associated with beneficiaries aged 66-99 to identify physicians involved in care for common cancer types (i.e., breast, lung, and colorectal cancer). We restricted our analysis to medical oncologists, radiation oncologists, and surgeons specializing in oncology (collectively, "oncologists"). We identified oncologists who left a practice location in 2017-2019 using the Medicare Carrier file and linked them to retained oncologists based on shared patients. Multivariable hierarchical linear regression was used to investigate how retained oncologists' patient-sharing patterns changed after a colleague's departure. Our results support that retained rural-practicing oncologists experienced an expansion and restructuring of their patient-sharing ties following oncologist departures while retained urban-practicing oncologists experienced a consolidation. Network restructuring may demonstrate an adaptive response that ensures patient continuity of care, but it may also reflect unique challenges faced by oncologists practicing in rural versus urban settings.

Supplementary information: The online version contains supplementary material available at 10.1007/s41109-025-00762-3.

癌症治疗依赖于多学科治疗团队的有效协调。尽管美国肿瘤学家的流动率不断上升,但由于离职而导致的团队变化仍未得到充分研究。在这项研究中,我们的目的是调查肿瘤医生的离开对剩余的护理团队成员的影响。我们使用与66-99岁受益人相关的医疗保险索赔来确定参与治疗常见癌症类型(即乳腺癌、肺癌和结直肠癌)的医生。我们将分析对象限定为内科肿瘤学家、放射肿瘤学家和专攻肿瘤学的外科医生(统称为“肿瘤学家”)。我们使用医疗保险运营商文件确定了2017-2019年离开诊所的肿瘤学家,并根据共享的患者将他们与保留的肿瘤学家联系起来。使用多变量层次线性回归来调查保留的肿瘤学家在同事离职后患者共享模式的变化。我们的研究结果支持保留的农村执业肿瘤学家在肿瘤学家离开后经历了患者共享关系的扩展和重组,而保留的城市执业肿瘤学家经历了整合。网络重组可能会显示出一种适应性反应,确保患者的护理连续性,但它也可能反映出肿瘤学家在农村与城市环境中执业所面临的独特挑战。补充信息:在线版本包含补充资料,可在10.1007/s41109-025-00762-3获得。
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引用次数: 0
Navigation on temporal networks. 时间网络导航。
IF 1.3 Q3 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2025-01-01 Epub Date: 2025-03-20 DOI: 10.1007/s41109-025-00697-9
Omar F Robledo, Petter Holme, Huijuan Wang

Temporal networks, whose network topology changes over time, are used to represent, e.g., opportunistic mobile networks, vehicle networks, and social contact networks, where two mobile devices (autos or individuals) are connected only when they are close to (interact with) each other. Such networks facilitate the transfer of information. In this paper, we address the problem of navigation on temporal networks: how to route a traffic demand from a source s to a destination d at time t s , based on the network observed before t s ? Whenever the node hosting the information has a contact or interacts with another node, the routing method has to decide whether the information should be forwarded to the contacted node or not. Once the information is forwarded, the contacted node becomes the only node hosting the information. Firstly, we introduce a framework of designing navigation algorithms, in which a distance metric is defined and computed between any node to the target d based on the network observed before t s . Whenever a hosting node has a contact, it forwards the information to the contacted node if the contacted node is closer to the target than the hosting node according to the distance metric. Secondly, we propose systematically distance metrics of a node pair in the temporal network observed, that capture different network properties of a node pair. Thirdly, these metrics or routing strategies are evaluated in empirical contact networks, from the perspective of the time duration of the routing and the probability that the destination can be reached. Their performance is further explained via the correlation between distance metrics and the stability of each metric in ranking nodes' distance to a target node. This work may serve as inspiration for evaluating and redesigning these strategies in other types of networks beyond physical contact networks.

时态网络,其网络拓扑结构随时间变化,用于表示机会移动网络、车辆网络和社会联系网络,其中两个移动设备(汽车或个人)只有在彼此接近(相互作用)时才连接。这种网络促进了信息的传递。在本文中,我们解决了时间网络上的导航问题:如何根据在t s之前观察到的网络,在t s时刻将流量需求从源s路由到目的地d ?每当承载信息的节点有联系人或与另一个节点交互时,路由方法必须决定是否应将信息转发到所联系的节点。一旦信息被转发,所联系的节点就成为唯一承载该信息的节点。首先,我们引入了一种导航算法设计框架,该框架基于t s之前观察到的网络,定义并计算任意节点到目标d之间的距离度量。每当托管节点有一个联系人时,根据距离度量,如果被联系的节点比托管节点更接近目标,则它将信息转发给被联系的节点。其次,我们系统地提出了观察到的时间网络中节点对的距离度量,以捕获节点对的不同网络属性。第三,从路由持续时间和到达目的地概率的角度,在经验接触网络中对这些度量或路由策略进行评估。它们的性能通过距离指标和每个指标在排序节点到目标节点的距离中的稳定性之间的相关性进一步解释。这项工作可能为在物理接触网络之外的其他类型的网络中评估和重新设计这些策略提供灵感。
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引用次数: 0
Influence of multiple network structures on bayesian estimation of peer effects and statistical power for generalized linear network autocorrelation models. 多网络结构对广义线性网络自相关模型的对等效应和统计力贝叶斯估计的影响。
IF 1.3 Q3 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2025-01-01 Epub Date: 2025-05-31 DOI: 10.1007/s41109-025-00709-8
Guanqing Chen, A James O'Malley

The recent published literature on linear network autocorrelation models of actor behaviors or other mutable attributes has revealed a curious finding. Irrespective of the size of the network and the status of other network features, likelihood-based estimators (e.g., maximum likelihood and Bayesian) of the autocorrelation parameter ([Formula: see text]) are negatively biased and become increasingly so as the density of the network increases. In this paper we investigate the pattern of bias of estimators of [Formula: see text] when analyzing multiple mutually exclusive sub-networks and directed networks with various levels of reciprocity. In addition to considering the case of a linear network autocorrelation model applied to a binary-valued network, the edges may be weighted and the attribute whose actor-interdependence (or peer-effect) we are interested in may be an event (i.e., a binary outcome), a count, or a rate outcome motivating the use of generalized linear network autocorrelation models. We perform a simulation study that reveals that bias reduces substantially as either the number of sub-networks increases or with increased variation across the network in the edge weights but this pattern is not observed with reciprocity. The findings for generalized linear network autocorrelation models are in general similar to those for linear network autocorrelation models. Finally, we perform a statistical power analysis based on these findings for use in designing future studies whose goal is to estimate or to detect peer-effects.

最近发表的关于行为人行为或其他可变属性的线性网络自相关模型的文献揭示了一个奇怪的发现。无论网络的大小和其他网络特征的状态如何,自相关参数([公式:见文本])的基于似然的估计器(例如,最大似然和贝叶斯)都是负偏的,并且随着网络密度的增加而变得越来越偏。本文研究了[公式:见文]在分析多个互斥子网络和具有不同互易程度的有向网络时估计量的偏差模式。除了考虑将线性网络自相关模型应用于二值网络的情况外,还可以对边缘进行加权,并且我们感兴趣的行动者相互依赖(或对等效应)的属性可能是一个事件(即二进制结果),计数或率结果,从而激发使用广义线性网络自相关模型。我们进行了一项模拟研究,结果表明,随着子网络数量的增加或整个网络中边缘权重的变化增加,偏差会大大减少,但这种模式没有观察到互易性。广义线性网络自相关模型的研究结果与线性网络自相关模型的研究结果大体相似。最后,我们根据这些发现进行了统计能力分析,以用于设计未来的研究,其目标是估计或检测同伴效应。
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引用次数: 0
Initialisation and network effects in decentralised federated learning. 分散联邦学习中的初始化和网络效应。
IF 1.5 Q3 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2025-01-01 Epub Date: 2025-10-30 DOI: 10.1007/s41109-025-00737-4
Arash Badie-Modiri, Chiara Boldrini, Lorenzo Valerio, János Kertész, Márton Karsai

Fully decentralised federated learning enables collaborative training of individual machine learning models on a distributed network of communicating devices while keeping the training data localised on each node. This approach avoids central coordination, enhances data privacy and eliminates the risk of a single point of failure. Our research highlights that the effectiveness of decentralised federated learning is significantly influenced by the network topology of connected devices and the initial conditions of the learning models. We propose a strategy for uncoordinated initialisation of the artificial neural networks based on the distribution of eigenvector centralities of the underlying communication network, leading to a radically improved training efficiency. Additionally, our study explores the scaling behaviour and the choice of environmental parameters under our proposed initialisation strategy. This work paves the way for more efficient and scalable artificial neural network training in a distributed and uncoordinated environment, offering a deeper understanding of the intertwining roles of network structure and learning dynamics.

完全分散的联邦学习支持在通信设备的分布式网络上对单个机器学习模型进行协作训练,同时保持训练数据在每个节点上的本地化。这种方法避免了中央协调,增强了数据隐私,并消除了单点故障的风险。我们的研究强调,分散联邦学习的有效性受到连接设备的网络拓扑和学习模型的初始条件的显著影响。我们提出了一种基于底层通信网络特征向量中心性分布的人工神经网络非协调初始化策略,从而从根本上提高了训练效率。此外,我们的研究探讨了在我们提出的初始化策略下的缩放行为和环境参数的选择。这项工作为在分布式和非协调环境中进行更有效和可扩展的人工神经网络训练铺平了道路,提供了对网络结构和学习动态相互交织作用的更深入理解。
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引用次数: 0
The association of prescriber prominence in a shared-patient physician network with their patients receipt of and transitions between risky drug combinations. 在共享病人的医生网络处方突出与他们的病人接受和转换之间的危险药物组合。
IF 1.5 Q3 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2025-01-01 Epub Date: 2025-07-21 DOI: 10.1007/s41109-025-00721-y
A James O'Malley, Ellen Meara, Nancy E Morden, Erika L Moen, Xin Ran

We are generally interested in the association between a prescribing physician's position in a physician shared-patient network and their patients' receipt of risky drug combinations. An informal physician network (not restricted to a hospital or a health system) of physicians based in Ohio was constructed based on overlapping care of patients between physicians reflected in face-to-face visits in Fee-for-service Medicare claims for Ohio-residing beneficiaries. Separately, Medicare prescription drug events for beneficiaries receiving opioids, benzodiazepines, or non-benzodiazepine sedative hypnotics (sedative hypnotics) prescribed by these physicians in 2014 were used to map patients' drug status with respect to these three classes. We assigned patient prescription receipt to time-varying drug states and linked each drug state transition to a "responsible" prescribing physician. Outcomes of interest include transitions across drug states, particularly those resulting in combinations of increased risk (e.g., a benzodiazepine or sedative hypnotic with an opioid), and patients' time to discontinuation of overlapping prescriptions of an opioid, benzodiazepine, and a sedative hypnotic while the key predictors of these transitions reflected characteristics of a prescriber's physician network position and physician speciality. We found that among beneficiaries receiving none of the three risky drug groups, patients seeing physicians with higher closeness centrality (shorter average path lengths to other physicians through the network) were less likely to transition to two or three risky drugs; and they were more likely to discontinue overlapping prescriptions of an opioid, benzodiazepine, and sedative hypnotic. Compared to PCPs, psychiatrists appeared more likely to prescribe risky drug combinations, and their patients were less likely to discontinue overlapping three-drug prescriptions. This work demonstrates that characterizing physicians' prescribing behavior in relation to their position in shared-patient networks may reveal strategies for optimizing network-based interventions to improve prescribing quality.

Supplementary information: The online version contains supplementary material available at 10.1007/s41109-025-00721-y.

我们通常感兴趣的是医生在医生-患者共享网络中的位置与患者接受风险药物组合之间的关系。一个非正式的医生网络(不局限于医院或卫生系统)是建立在俄亥俄州的医生之间重叠的病人护理的基础上的,这反映在俄亥俄州居住受益人的按服务收费医疗保险索赔中的面对面访问中。另外,2014年接受这些医生开具的阿片类药物、苯二氮卓类药物或非苯二氮卓类镇静催眠药(镇静催眠药)的受益人的Medicare处方药事件被用于绘制患者在这三类药物中的药物状况。我们将患者的处方收据分配到随时间变化的药物状态,并将每个药物状态转换与“负责任的”处方医生联系起来。值得关注的结果包括药物状态的转变,特别是那些导致风险增加的组合(例如,苯二氮卓类药物或镇静催眠药与阿片类药物),以及患者停止阿片类药物、苯二氮卓类药物和镇静催眠药重叠处方的时间,而这些转变的关键预测因素反映了处方医师网络职位和医生专业的特征。我们发现,在没有接受三种风险药物组的受益人中,看到接近中心性较高的医生(通过网络到其他医生的平均路径长度较短)的患者不太可能过渡到两种或三种风险药物;他们更有可能停止使用阿片类药物、苯二氮卓类药物和镇静催眠药的重叠处方。与pcp相比,精神科医生似乎更有可能开出有风险的药物组合,他们的病人也不太可能停止重复使用三种药物的处方。这项工作表明,表征医生的处方行为与他们在共享患者网络中的位置有关,可能会揭示优化基于网络的干预措施以提高处方质量的策略。补充信息:在线版本包含补充资料,提供地址为10.1007/s41109-025-00721-y。
{"title":"The association of prescriber prominence in a shared-patient physician network with their patients receipt of and transitions between risky drug combinations.","authors":"A James O'Malley, Ellen Meara, Nancy E Morden, Erika L Moen, Xin Ran","doi":"10.1007/s41109-025-00721-y","DOIUrl":"10.1007/s41109-025-00721-y","url":null,"abstract":"<p><p>We are generally interested in the association between a prescribing physician's position in a physician shared-patient network and their patients' receipt of risky drug combinations. An informal physician network (not restricted to a hospital or a health system) of physicians based in Ohio was constructed based on overlapping care of patients between physicians reflected in face-to-face visits in Fee-for-service Medicare claims for Ohio-residing beneficiaries. Separately, Medicare prescription drug events for beneficiaries receiving opioids, benzodiazepines, or non-benzodiazepine sedative hypnotics (sedative hypnotics) prescribed by these physicians in 2014 were used to map patients' drug status with respect to these three classes. We assigned patient prescription receipt to time-varying drug states and linked each drug state transition to a \"responsible\" prescribing physician. Outcomes of interest include transitions across drug states, particularly those resulting in combinations of increased risk (e.g., a benzodiazepine or sedative hypnotic with an opioid), and patients' time to discontinuation of overlapping prescriptions of an opioid, benzodiazepine, and a sedative hypnotic while the key predictors of these transitions reflected characteristics of a prescriber's physician network position and physician speciality. We found that among beneficiaries receiving none of the three risky drug groups, patients seeing physicians with higher closeness centrality (shorter average path lengths to other physicians through the network) were less likely to transition to two or three risky drugs; and they were more likely to discontinue overlapping prescriptions of an opioid, benzodiazepine, and sedative hypnotic. Compared to PCPs, psychiatrists appeared more likely to prescribe risky drug combinations, and their patients were less likely to discontinue overlapping three-drug prescriptions. This work demonstrates that characterizing physicians' prescribing behavior in relation to their position in shared-patient networks may reveal strategies for optimizing network-based interventions to improve prescribing quality.</p><p><strong>Supplementary information: </strong>The online version contains supplementary material available at 10.1007/s41109-025-00721-y.</p>","PeriodicalId":37010,"journal":{"name":"Applied Network Science","volume":"10 1","pages":"34"},"PeriodicalIF":1.5,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12279612/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144699753","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
Tunable network properties with Hamill and Gilbert's Social Circles generator. 可调网络属性与哈米尔和吉尔伯特的社交圈生成器。
IF 1.5 Q3 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2025-01-01 Epub Date: 2025-12-04 DOI: 10.1007/s41109-025-00744-5
Cristina Chueca Del Cerro, Jennifer Badham

Hamill and Gilbert (J Artif Soc Soc Simul 12, 1-23, 2009) developed the Social Circles algorithm to generate synthetic networks that have properties of real social networks such as skewed degree distribution, positive clustering coefficient, degree assortativity and short path lengths. To assess the viability of Social Circles as a general network generator, we systematically examine the relationship between algorithm parameters and a broader range of structural properties of the generated networks. We varied social reaches for agents, distribution of social reaches in the population, and node density. We find that edge density and centrality measures can be controlled in a predictable way: longer reaches are associated with denser networks, shorter paths, lower degree assortativity (with some exceptions), and smaller variation in centrality measures. However, these network properties changed together and there is limited capacity to control properties separately. Further, clustering coefficient is insensitive to algorithm inputs. Thus, it cannot be used as a general network generator as it stands. If these properties are important, Social Circles could be used to generate starting networks with reasonable social structure, but further steps would be required to refine the structural properties.

Hamill和Gilbert (J Artif Soc Soc Simul 12, 1- 23,2009)开发了Social Circles算法来生成具有真实社会网络歪斜度分布、正聚类系数、度匹配性和短路径长度等特性的合成网络。为了评估社交圈作为一般网络生成器的可行性,我们系统地检查了算法参数与所生成网络的更广泛的结构属性之间的关系。我们改变了代理的社会范围、社会范围在人口中的分布和节点密度。我们发现边缘密度和中心性度量可以以可预测的方式控制:更长的到达与更密集的网络,更短的路径,更低的度选型性(有一些例外)和更小的中心性度量变化相关。然而,这些网络属性一起变化,单独控制属性的能力有限。此外,聚类系数对算法输入不敏感。因此,它不能作为一般的网络生成器使用。如果这些属性很重要,社交圈可以用来生成具有合理社会结构的初始网络,但需要进一步完善结构属性。
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引用次数: 0
Temporal dynamics of the friendship paradox in a smartphone communication network. 智能手机通信网络中友谊悖论的时间动态。
IF 1.3 Q3 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2025-01-01 Epub Date: 2025-05-23 DOI: 10.1007/s41109-025-00710-1
Cheng Wang, Omar Lizardo, David S Hachen

The friendship paradox, initially discussed by Scott Feld in 1991, highlights a counterintuitive social phenomenon where individuals tend to have fewer friends than their friends do on average. The sociological implications of this paradox are profound, as it can create a distorted understanding of social norms and consequently influence beliefs, attitudes, and behaviors, particularly when highly connected individuals present a skewed representation of those norms. In essence, it can lead individuals to misjudge what is typical or desirable within their social circles. This study investigates the temporal dynamics of the friendship paradox using smartphone communication data from over 600 incoming freshmen at the University of Notre Dame participating in the NetHealth project. By tracking the friendship index- the ratio of an individual's friends' average number of friends to their own number of friends- over 119 days during the Fall semester of 2015, we examine how the paradox evolves over time. Our findings reveal that the friendship index stabilizes more rapidly than both the individuals' own degree and the variation among their friends' degrees. Results from the latent growth-curve model (LGCM) confirm that while the friendship index continues to increase, its growth rate declines over time. Moreover, the LGCM identifies individual degrees, ethnic backgrounds, and personality traits as influential factors shaping the manifestation and development of the friendship paradox. By exploring the mechanisms underlying this paradox in a dynamic communication network, this study enhances our understanding of the structural factors influencing the evolution of the friendship paradox in digitally mediated interactions.

Supplementary information: The online version contains supplementary material available at 10.1007/s41109-025-00710-1.

斯科特·菲尔德(Scott Feld)于1991年首次讨论了“友谊悖论”,它强调了一种违反直觉的社会现象,即个人的朋友往往比他们朋友的平均数量少。这一悖论的社会学含义是深远的,因为它可以造成对社会规范的扭曲理解,从而影响信仰、态度和行为,特别是当高度联系的个人对这些规范表现出扭曲的表现时。从本质上讲,它会导致个人错误判断他们社交圈中的典型或可取之处。这项研究利用600多名参与NetHealth项目的圣母大学新生的智能手机通信数据,调查了友谊悖论的时间动态。在2015年秋季学期的119天里,我们追踪了友谊指数——一个人的朋友的平均数量与他自己的朋友数量之比,研究了这个悖论是如何随着时间的推移而演变的。我们的研究结果表明,友谊指数比个人自身的程度和朋友之间的程度变化稳定得更快。潜在增长曲线模型(LGCM)的结果证实,虽然友谊指数继续增加,但其增长率随着时间的推移而下降。此外,LGCM还发现个体学历、种族背景和人格特质是影响友谊悖论表现和发展的因素。通过探索动态交流网络中友谊悖论的机制,本研究增强了我们对数字媒介互动中影响友谊悖论演变的结构性因素的理解。补充信息:在线版本包含补充资料,提供地址为10.1007/s41109-025-00710-1。
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引用次数: 0
Accounting for contact network uncertainty in epidemic inferences with Approximate Bayesian Computation. 用近似贝叶斯计算解释传染病推断中接触网络的不确定性。
IF 1.3 Q3 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2025-01-01 Epub Date: 2025-04-22 DOI: 10.1007/s41109-025-00694-y
Maxwell H Wang, Jukka-Pekka Onnela

In models of infectious disease dynamics, the incorporation of contact network information allows for the capture of the non-randomness and heterogeneity of realistic contact patterns. Oftentimes, it is assumed that this underlying network is known with perfect certainty. However, in realistic settings, the observed data usually serves as an imperfect proxy of the actual contact patterns in the population. Furthermore, event times in observed epidemics are not perfectly recorded; individual infection and recovery times are often missing. In order to conduct accurate inferences on parameters of contagion spread, it is crucial to incorporate these sources of uncertainty. In this paper, we propose the use of Network-augmented Mixture Density Network-compressed ABC (NA-MDN-ABC) to learn informative summary statistics for the available data. This method will allow for Bayesian inference on the parameters of a contagious process, while accounting for imperfect observations on the epidemic and the contact network. We will demonstrate the use of this method on simulated epidemics and networks, and extend this framework to analyze the spread of Tattoo Skin Disease (TSD) among bottlenose dolphins in Shark Bay, Australia.

在传染病动力学模型中,接触网络信息的结合允许捕获现实接触模式的非随机性和异质性。通常,假设这个底层网络是完全确定的。然而,在现实环境中,观察到的数据通常不能完全代表人群中的实际接触模式。此外,观察到的流行病的事件时间没有得到完美的记录;个体感染和恢复时间常常被遗漏。为了对传染病传播参数进行准确的推断,将这些不确定性来源纳入其中是至关重要的。在本文中,我们提出使用网络增强混合密度网络压缩ABC (NA-MDN-ABC)来学习可用数据的信息汇总统计。这种方法将允许对传染过程的参数进行贝叶斯推断,同时考虑到对流行病和接触网络的不完美观察。我们将在模拟流行病和网络上演示该方法的使用,并将该框架扩展到分析纹身皮肤病(TSD)在澳大利亚鲨鱼湾宽吻海豚中的传播。
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引用次数: 0
American politics in 3D: measuring multidimensional issue alignment in social media using social graphs and text data 三维美国政治:利用社交图谱和文本数据衡量社交媒体中的多维问题一致性
IF 2.2 Q3 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2024-01-10 DOI: 10.1007/s41109-023-00608-w
Pedro Ramaciotti, Duncan Cassells, Zografoula Vagena, Jean-Philippe Cointet, Michael Bailey
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引用次数: 0
A generalized eigenvector centrality for multilayer networks with inter-layer constraints on adjacent node importance. 多层网络的广义特征向量中心性,层间对相邻节点重要性有限制。
IF 2.2 Q3 COMPUTER SCIENCE, THEORY & METHODS Pub Date : 2024-01-01 Epub Date: 2024-04-30 DOI: 10.1007/s41109-024-00620-8
H Robert Frost

We present a novel approach for computing a variant of eigenvector centrality for multilayer networks with inter-layer constraints on node importance. Specifically, we consider a multilayer network defined by multiple edge-weighted, potentially directed, graphs over the same set of nodes with each graph representing one layer of the network and no inter-layer edges. As in the standard eigenvector centrality construction, the importance of each node in a given layer is based on the weighted sum of the importance of adjacent nodes in that same layer. Unlike standard eigenvector centrality, we assume that the adjacency relationship and the importance of adjacent nodes may be based on distinct layers. Importantly, this type of centrality constraint is only partially supported by existing frameworks for multilayer eigenvector centrality that use edges between nodes in different layers to capture inter-layer dependencies. For our model, constrained, layer-specific eigenvector centrality values are defined by a system of independent eigenvalue problems and dependent pseudo-eigenvalue problems, whose solution can be efficiently realized using an interleaved power iteration algorithm. We refer to this model, and the associated algorithm, as the Constrained Multilayer Centrality (CMLC) method. The characteristics of this approach, and of standard techniques based on inter-layer edges, are demonstrated on both a simple multilayer network and on a range of random graph models. An R package implementing the CMLC method along with example vignettes is available at https://hrfrost.host.dartmouth.edu/CMLC/.

我们提出了一种计算多层网络特征向量中心性变体的新方法,这种网络具有层间节点重要性约束。具体来说,我们考虑的多层网络是由同一节点集上的多个边缘加权、可能有向的图定义的,每个图代表网络的一层,且没有层间边缘。与标准特征向量中心性结构一样,给定层中每个节点的重要性基于同一层中相邻节点重要性的加权和。与标准特征向量中心性不同的是,我们假设相邻节点的邻接关系和重要性可能基于不同的层。重要的是,现有的多层特征向量中心性框架仅部分支持这种类型的中心性约束,这些框架使用不同层中节点之间的边来捕捉层间依赖关系。在我们的模型中,有约束的、特定层的特征向量中心性值是由独立特征值问题和依赖伪特征值问题系统定义的,其解决方案可以通过交错幂迭代算法有效实现。我们将这一模型和相关算法称为约束多层中心性(CMLC)方法。我们在一个简单的多层网络和一系列随机图模型上展示了这种方法的特点,以及基于层间边缘的标准技术的特点。实现 CMLC 方法的 R 软件包和示例可在 https://hrfrost.host.dartmouth.edu/CMLC/ 上获取。
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引用次数: 0
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Applied Network Science
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