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Interactions in many real-world phenomena can be explained by a strong hierarchical structure. Typically, this structure or ranking is not known; instead we only have observed outcomes of the interactions, and the goal is to infer the…

数据结构与算法 · 计算机科学 2019-04-24 Nikolaj Tatti

Many real-world phenomena exhibit strong hierarchical structure. Consequently, in many real-world directed social networks vertices do not play equal role. Instead, vertices form a hierarchy such that the edges appear mainly from upper…

数据结构与算法 · 计算机科学 2019-02-06 Nikolaj Tatti

The outcome of interactions in many real-world systems can be often explained by a hierarchy between the participants. Discovering hierarchy from a given directed network can be formulated as follows: partition vertices into levels such…

数据结构与算法 · 计算机科学 2019-02-07 Nikolaj Tatti

The entities in directed networks arising from real-world interactions are often naturally organized under some hierarchical structure. Given a directed, weighted, graph with edges and node labels, we introduce ranking problem where the…

数据结构与算法 · 计算机科学 2025-02-04 Chamalee Wickrama Arachchi , Nikolaj Tatti

We present a physically-inspired model and an efficient algorithm to infer hierarchical rankings of nodes in directed networks. It assigns real-valued ranks to nodes rather than simply ordinal ranks, and it formalizes the assumption that…

物理与社会 · 物理学 2018-06-14 Caterina De Bacco , Daniel B. Larremore , Cristopher Moore

To rank nodes in quasi-hierarchical networks of social nature, it is necessary to carry out a detailed analysis of the network and evaluate the results obtained according to all the given criteria and identify the most influential nodes.…

社会与信息网络 · 计算机科学 2017-11-16 A. M. Soboliev , D. V. Lande

Resource allocation and scheduling are a common problem in various distributed systems. Although widely studied, the state-of-the-art solutions either do not scale or lack the expressive power to capture the most complex instances of the…

数据结构与算法 · 计算机科学 2025-06-03 Rajpreet Singh , Novak Boškov , Aditya Gudal , Manzoor A. Khan

Given a network, the critical node detection problem finds a subset of nodes whose removal disrupts the network connectivity. Since many real-world systems are naturally modeled as graphs, assessing the vulnerability of the network is…

离散数学 · 计算机科学 2025-12-02 Tuguldur Bayarsaikhan , Altannar Chinchuluun , Ashwin Arulselvan , Panos Pardalos

Link directions are essential to the functionality of networks and their prediction is helpful towards a better knowledge of directed networks from incomplete real-world data. We study the problem of predicting the directions of some links…

物理与社会 · 物理学 2013-07-16 Fangjian Guo , Zimo Yang , Tao Zhou

Many complex networks display a mesoscopic structure with groups of nodes sharing many links with the other nodes in their group and comparatively few with nodes of different groups. This feature is known as community structure and encodes…

物理与社会 · 物理学 2009-07-31 Andrea Lancichinetti , Santo Fortunato

Researchers have typically concentrated on analyzing what happens internally in a complex network and using this to distinguish between nodes. However, there has been less effort towards comparing between different networks. In this paper,…

社会与信息网络 · 计算机科学 2015-03-03 Zeynab Bahrami Bidoni , Roy George

Identifying the importance of nodes of complex networks is of interest to the research of Social Networks, Biological Networks etc.. Current researchers have proposed several measures or algorithms, such as betweenness, PageRank and HITS…

社会与信息网络 · 计算机科学 2012-11-26 Bojin Zheng , Deyi Li , Guisheng Chen , Wenhua Du , Jianmin Wang

Visualization of the adjacency matrix enables us to capture macroscopic features of a network when the matrix elements are aligned properly. Community structure, a network consisting of several densely connected components, is a…

物理与社会 · 物理学 2023-07-11 Masaki Ochi , Tatsuro Kawamoto

The inference of rankings plays a central role in the theory of social choice, which seeks to establish preferences from collectively generated data, such as pairwise comparisons. Examples include political elections, ranking athletes based…

社会与信息网络 · 计算机科学 2025-03-25 Juan Ignacio Perotti

This paper studies the distribution of a family of rankings, which includes Google's PageRank, on a directed configuration model. In particular, it is shown that the distribution of the rank of a randomly chosen node in the graph converges…

概率论 · 数学 2014-10-14 Ningyuan Chen , Nelly Litvak , Mariana Olvera-Cravioto

We develop a method to infer community structure in directed networks where the groups are ordered in a latent one-dimensional hierarchy that determines the preferred edge direction. Our nonparametric Bayesian approach is based on a…

社会与信息网络 · 计算机科学 2022-09-01 Tiago P. Peixoto

A highly successful approach to route planning in networks (particularly road networks) is to identify a hierarchy in the network that allows faster queries after some preprocessing that basically inserts additional "shortcut"-edges into a…

数据结构与算法 · 计算机科学 2019-09-11 Demian Hespe , Peter Sanders

The importance of a node in a directed graph can be measured by its PageRank. The PageRank of a node is used in a number of application contexts - including ranking websites - and can be interpreted as the average portion of time spent at…

数据结构与算法 · 计算机科学 2014-05-22 Balázs Csanád Csáji , Raphaël M. Jungers , Vincent D. Blondel

We consider the problem of learning over non-stationary ranking streams. The rankings can be interpreted as the preferences of a population and the non-stationarity means that the distribution of preferences changes over time. Our goal is…

机器学习 · 统计学 2020-10-28 Ekhine Irurozki , Jesus Lobo , Aritz Perez , Javier Del Ser

Numerous social, medical, engineering and biological challenges can be framed as graph-based learning tasks. Here, we propose a new feature based approach to network classification. We show how dynamics on a network can be useful to reveal…

机器学习 · 统计学 2017-06-01 Leonardo Gutierrez Gomez , Benjamin Chiem , Jean-Charles Delvenne
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