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Ranking or assessing centrality in multivariate and non-Euclidean data is difficult because there is no canonical order and many depth notions become computationally fragile in high-dimensional or structured settings. We introduce a…

Methodology · Statistics 2026-02-24 Lingfeng Lyu , Doudou Zhou

Investigation of social influence dynamics requires mathematical models that are "simple" enough to admit rigorous analysis, and yet sufficiently "rich" to capture salient features of social groups. Thus, the mechanism of iterative opinion…

Systems and Control · Computer Science 2019-09-20 Anton V. Proskurnikov , Roberto Tempo , Ming Cao , Noah E. Friedkin

I give a scientific perspective, with a personal emphasis, on the seminal 1992 paper, "The quantum-state diffusion model applied to open systems", by Gisin and Percival.

Quantum Physics · Physics 2016-09-22 Howard M. Wiseman

Given a social network, which of its nodes are more central? This question has been asked many times in sociology, psychology and computer science, and a whole plethora of centrality measures (a.k.a. centrality indices, or rankings) were…

Social and Information Networks · Computer Science 2013-11-08 Paolo Boldi , Sebastiano Vigna

Mining the silent members of an online community, also called lurkers, has been recognized as an important problem that accompanies the extensive use of online social networks (OSNs). Existing solutions to the ranking of lurkers can aid…

Social and Information Networks · Computer Science 2015-09-08 Andrea Tagarelli , Roberto Interdonato

The identification of influential spreaders in complex networks is a popular topic in studies of network characteristics. Many centrality measures have been proposed to address this problem, but most have limitations. In this paper, a…

Social and Information Networks · Computer Science 2019-10-08 Tao Wen , Yong Deng

A variety of metrics have been proposed to measure the relative importance of nodes in a network. One of these, alpha-centrality [Bonacich, 2001], measures the number of attenuated paths that exist between nodes. We introduce a normalized…

Social and Information Networks · Computer Science 2012-08-06 Rumi Ghosh , Kristina Lerman

The Leiden Ranking 2011/2012 provides the Proportion top-10% publications (PP top 10%) as a new indicator. This indicator allows for testing the difference between two ranks for statistical significance.

Computers and Society · Computer Science 2011-12-20 Loet Leydesdorff , Lutz Bornmann

Recent studies have shown that information disclosed on social network sites (such as Facebook) can be used to predict personal characteristics with surprisingly high accuracy. In this paper we examine a method to give online users…

Machine Learning · Statistics 2016-06-28 Daizhuo Chen , Samuel P. Fraiberger , Robert Moakler , Foster Provost

Most network studies rely on an observed network that differs from the underlying network which is obfuscated by measurement errors. It is well known that such errors can have a severe impact on the reliability of network metrics,…

Social and Information Networks · Computer Science 2020-01-09 Christoph Martin , Peter Niemeyer

A novel algorithm for face obfuscation, called Forbes, which aims to obfuscate facial appearance recognizable by humans but preserve the identity and attributes decipherable by machines, is proposed in this paper. Forbes first applies…

Computer Vision and Pattern Recognition · Computer Science 2024-07-22 Jintae Kim , Seungwon yang , Seong-Gyun Jeong , Chang-Su Kim

Multilayer network analysis is a useful approach for studying the structural properties of entities with diverse, multitudinous relations. Classifying the importance of nodes and node-layer tuples is an important aspect of the study of…

Physics and Society · Physics 2021-12-28 Lucas Böttcher , Mason A. Porter

The statistical mechanics of the time-reversal and inversion symmetry breaking order parameter, possibly observed in the pseudogap region of the phase diagram of the Cuprates, can be represented by the Ashkin-Teller model. We add kinetic…

Superconductivity · Physics 2009-11-11 Vivek aji , C. M. Varma

This paper investigates the problem of leadership development for an external influencer using the Friedkin-Johnsen (FJ) opinion dynamics model, where the influencer is modeled as a fully stubborn agent and leadership is quantified by…

Systems and Control · Electrical Eng. & Systems 2025-06-17 Lingfei Wang , Yu Xing , Yuhao Yi , Ming Cao , Karl H. Johansson

Many quantities that characterize network elements are defined in an explicit form and calculated directly from the network structure; examples of include several centrality measures like degree, closeness, or betweenness. However, there…

Physics and Society · Physics 2026-01-08 János Török , Takashi Shimada , Fumiko Ogushi , Kata Tunyogi , János Kertész , Kimmo Kaski

Traditional measures of closeness and betweenness centrality in networks rely on the shortest paths between nodes. Many standard metrics fail to accurately reflect the physical or probabilistic characteristics of nodal centrality and…

Social and Information Networks · Computer Science 2026-02-09 Juuso Luhtala , Vesa Kuikka , Kimmo K. Kaski

To obtain a foundational understanding of timeline algorithms and viral content in shaping public opinions, computer scientists started to study augmented versions of opinion formation models from sociology. In this paper, we generalize the…

Social and Information Networks · Computer Science 2025-04-14 Charlotte Out , Sijing Tu , Stefan Neumann , Ahad N. Zehmakan

Existing centrality measures for social network analysis suggest the im-portance of an actor and give consideration to actor's given structural position in a network. These existing measures suggest specific attribute of an actor (i.e.,…

Physics and Society · Physics 2012-02-13 Alireza Abbasi , Liaquat Hossain

A citation-based indicator for interdisciplinarity has been missing hitherto among the set of available journal indicators. In this study, we investigate network indicators (betweenness centrality), journal indicators (Shannon entropy, the…

Digital Libraries · Computer Science 2010-09-22 Loet Leydesdorff , Ismael Rafols

The second-largest order statistic is of special importance in reliability theory since it represents the time to failure of a $2$-out-of-$n$ system. Consider two $2$-out-of-$n$ systems with heterogeneous random lifetimes. The lifetimes are…

Statistics Theory · Mathematics 2021-04-20 Sangita Das , Suchandan Kayal
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