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We present a new method to accelerate the HITS algorithm by exploiting hyperlink structure of the web graph. The proposed algorithm extends the idea of authority and hub scores from HITS by introducing two diagonal matrices which contain…

Information Retrieval · Computer Science 2009-09-04 Andri Mirzal , Masashi Furukawa

On the case that the number of dangling nodes is large, PageRank computation can be proceeded with a much smaller matrix through lumping all dangling nodes of a web graph into a single node. Thus, it saves many computational cost and…

Numerical Analysis · Mathematics 2021-11-02 Yongxin Dong , Yuehua Feng , Jianxin You , Jinrui Guan

Finding influential users in online social networks is an important problem with many possible useful applications. HITS and other link analysis methods, in particular, have been often used to identify hub and authority users in web graphs…

Social and Information Networks · Computer Science 2018-02-21 Roy Ka-Wei Lee , Tuan-Anh Hoang , Ee-Peng Lim

We present an approach to improving the precision of an initial document ranking wherein we utilize cluster information within a graph-based framework. The main idea is to perform re-ranking based on centrality within bipartite graphs of…

Information Retrieval · Computer Science 2008-04-24 Oren Kurland , Lillian Lee

The notions of subgraph centrality and communicability, based on the exponential of the adjacency matrix of the underlying graph, have been effectively used in the analysis of undirected networks. In this paper we propose an extension of…

Numerical Analysis · Mathematics 2013-01-29 Michele Benzi , Ernesto Estrada , Christine Klymko

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.…

Social and Information Networks · Computer Science 2017-11-16 A. M. Soboliev , D. V. Lande

Connections among entities are everywhere. From social media interactions to web page hyperlinks, networks are frequently used to represent such complex systems. Node ranking is a fundamental task that provides the strategy to identify…

Information Retrieval · Computer Science 2021-04-15 José Devezas , Sérgio Nunes

We prove that HITS, to "get right" h of the top k ranked nodes of an N>=2k node graph, can require h^(Omega(N h/k)) iterations (i.e. a substantial Omega(N h log(h)/k) matrix multiplications even with a "squaring trick"). Our proof requires…

Data Structures and Algorithms · Computer Science 2008-07-21 Enoch Peserico , Luca Pretto

We introduce a ranking model for temporal multi-dimensional weighted and directed networks based on the Perron eigenvector of a multi-homogeneous order-preserving map. The model extends to the temporal multilayer setting the HITS algorithm…

Social and Information Networks · Computer Science 2018-09-24 Francesca Arrigo , Francesco Tudisco

In the last years, Google's PageRank optimization problems have been extensively studied. In that case, the ranking is given by the invariant measure of a stochastic matrix. In this paper, we consider the more general situation in which the…

Optimization and Control · Mathematics 2016-01-08 Olivier Fercoq

We attempt to identify the different node hubs of a road network using PageRank for preparation for possible random terrorist attacks. The robustness of a road network against such attack is crucial to be studied because it may cripple its…

Social and Information Networks · Computer Science 2016-09-07 Jacob Chan , Kardi Teknomo

Identifying emerging influential or popular node/item in future on network is a current interest of the researchers. Most of previous works focus on identifying leaders in time evolving networks on the basis of network structure or node's…

Social and Information Networks · Computer Science 2016-09-07 Khushnood Abbas , Mingsheng Shang , Cai Shi-Min , Xiaoyu Shi

Complex networks are characterized by heterogeneous distributions of the degree of nodes, which produce a large diversification of the roles of the nodes within the network. Several centrality measures have been introduced to rank nodes…

Physics and Society · Physics 2009-11-13 Nicola Perra , Santo Fortunato

Nodes in networks that exhibit high connectivity, also called ``hubs'', play a critical role in determining the structural and functional properties of networked systems. However, there is no clear definition of what constitutes a hub node…

Social and Information Networks · Computer Science 2024-03-25 Alec Kirkley

The HOTS algorithm uses the hyperlink structure of the web to compute a vector of scores with which one can rank web pages. The HOTS vector is the vector of the exponentials of the dual variables of an optimal flow problem (the…

Optimization and Control · Mathematics 2012-05-31 Olivier Fercoq

Social network analysis presupposes that observed social behavior is influenced by an unobserved network. Traditional approaches to inferring the latent network use pairwise descriptive statistics that rely on a variety of measures of…

Applications · Statistics 2018-09-03 Charles Weko , Yunpeng Zhao

We present a novel graph embedding space (i.e., a set of measures on graphs) for performing statistical analyses of networks. Key improvements over existing approaches include discovery of "motif-hubs" (multiple overlapping significant…

Disordered Systems and Neural Networks · Physics 2007-05-23 Etay Ziv , Robin Koytcheff , Manuel Middendorf , Chris Wiggins

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…

Discrete Mathematics · Computer Science 2025-12-02 Tuguldur Bayarsaikhan , Altannar Chinchuluun , Ashwin Arulselvan , Panos Pardalos

This paper explores decentralized learning in a graph-based setting, where data is distributed across nodes. We investigate a decentralized SGD algorithm that utilizes a random walk to update a global model based on local data. Our focus is…

Machine Learning · Computer Science 2024-07-31 Zonghong Liu , Salim El Rouayheb , Matthew Dwyer

We propose a new method for supervised learning. The hubNet procedure fits a hub-based graphical model to the predictors, to estimate the amount of "connection" that each predictor has with other predictors. This yields a set of predictor…

Methodology · Statistics 2016-08-22 Leying Guan , Zhou Fan , Robert Tibshirani
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