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The hyperlink prediction task, that of proposing new links between webpages, can be used to improve search engines, expand the visibility of web pages, and increase the connectivity and navigability of the web. Hyperlink prediction is…

Data Structures and Algorithms · Computer Science 2016-11-29 Dario Garcia-Gasulla , Eduard Ayguadé , Jesús Labarta , Ulises Cortés , Toyotaro Suzumura

PageRank is an algorithm introduced in 1998 and used by the Google Internet search engine. It assigns a numerical value to each element of a set of hyperlinked documents (that is, web pages) within the World Wide Web with the purpose of…

Systems and Control · Computer Science 2013-12-09 Hideaki Ishii , Roberto Tempo

This work is pertaining to the diversified ranking of web-resources and interconnected documents that rely on a network-like structure, e.g. web-pages. A practical example of this would be a query for the k most relevant web-pages that are…

Information Retrieval · Computer Science 2016-07-27 George Tsatsanifos

We review the main findings on the ranking capabilities of the recently proposed Quantum PageRank algorithm (G.D. Paparo et al., Sci. Rep. 2, 444 (2012) and G.D. Paparo et al., Sci. Rep. 3, 2773 (2013)) applied to large complex networks.…

Quantum Physics · Physics 2014-09-15 G. D. Paparo , M. Müller , F. Comellas , M. A. Martin-Delgado

It is the main goal of this article to address the bipartite ranking issue from the perspective of functional data analysis (FDA). Given a training set of independent realizations of a (possibly sampled) second-order random function with a…

Machine Learning · Statistics 2013-12-19 Stéphan Clémençon , Marine Depecker

A variety of real-world systems can be modeled as bipartite networks. One of the most powerful and simple link prediction methods is Linear-Graph Autoencoder(LGAE) which has promising performance on challenging tasks such as link prediction…

Social and Information Networks · Computer Science 2020-03-20 Jungwoon Shin

Graph reordering is a powerful technique to increase the locality of the representations of graphs, which can be helpful in several applications. We study how the technique can be used to improve compression of graphs and inverted indexes.…

Data Structures and Algorithms · Computer Science 2017-09-04 Laxman Dhulipala , Igor Kabiljo , Brian Karrer , Giuseppe Ottaviano , Sergey Pupyrev , Alon Shalita

Bipartite ranking is a fundamental ranking problem that learns to order relevant instances ahead of irrelevant ones. The pair-wise approach for bi-partite ranking construct a quadratic number of pairs to solve the problem, which is…

Machine Learning · Computer Science 2017-08-25 Wei-Yuan Shen , Hsuan-Tien Lin

Over the last decade, PageRank has gained importance in a wide range of applications and domains, ever since it first proved to be effective in determining node importance in large graphs (and was a pioneering idea behind Google's search…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-26 Atish Das Sarma , Anisur Rahaman Molla , Gopal Pandurangan , Eli Upfal

Nowadays, research into personalization has been focusing on explainability and fairness. Several approaches proposed in recent works are able to explain individual recommendations in a post-hoc manner or by explanation paths. However,…

Information Retrieval · Computer Science 2024-03-26 Giacomo Medda , Francesco Fabbri , Mirko Marras , Ludovico Boratto , Gianni Fenu

We present a method for learning max-weight matching predictors in bipartite graphs. The method consists of performing maximum a posteriori estimation in exponential families with sufficient statistics that encode permutations and data…

Machine Learning · Computer Science 2009-06-05 James Petterson , Tiberio Caetano , Julian McAuley , Jin Yu

PageRank is a widespread model for analysing the relative relevance of nodes within large graphs arising in several applications. In the current paper, we present a cost-effective Hessenberg-type method built upon the Hessenberg process for…

Numerical Analysis · Mathematics 2023-06-13 Xian-Ming Gu , Siu-Long Lei , Ke Zhang , Zhao-Li Shen , Chun Wen , Bruno Carpentieri

Graphs are widely used in various fields of computer science. They have also found application in unrelated areas, leading to a diverse range of problems. These problems can be modeled as relationships between entities in various contexts,…

Data Structures and Algorithms · Computer Science 2024-05-20 Davide Rucci

A new modeling framework for bipartite social networks arising from a sequence of partially time-ordered relational events is proposed. We directly model the joint distribution of the binary variables indicating if each single actor is…

Methodology · Statistics 2018-10-23 Francesco Bartolucci , Antonietta Mira , Stefano Peluso

The PageRank is a widely used scoring function of networks in general and of the World Wide Web graph in particular. The PageRank is defined for directed graphs, but in some special cases applications for undirected graphs occur. In the…

Data Structures and Algorithms · Computer Science 2017-02-09 Vince Grolmusz

Graphs can represent relational information among entities and graph structures are widely used in many intelligent tasks such as search, recommendation, and question answering. However, most of the graph-structured data in practice suffers…

Information Retrieval · Computer Science 2021-12-30 Hanxiong Chen , Yunqi Li , Shaoyun Shi , Shuchang Liu , He Zhu , Yongfeng Zhang

We explore a simple mathematical model of network computation, based on Markov chains. Similar models apply to a broad range of computational phenomena, arising in networks of computers, as well as in genetic, and neural nets, in social…

Information Retrieval · Computer Science 2009-04-18 Dusko Pavlovic

Random teleportation is a necessary evil for ranking and clustering directed networks based on random walks. Teleportation enables ergodic solutions, but the solutions must necessarily depend on the exact implementation and parametrization…

Social and Information Networks · Computer Science 2012-06-05 Renaud Lambiotte , Martin Rosvall

Ranking lists are often provided at regular time intervals in a range of applications, including economics, sports, marketing, and politics. Most popular methods for rank-order data postulate a linear specification for the latent scores,…

Methodology · Statistics 2025-12-09 Matteo Iacopini , Eoghan O'Neill , Luca Rossini

Graph clustering is an important algorithmic technique for analysing massive graphs, and has been widely applied in many research fields of data science. While the objective of most graph clustering algorithms is to find a vertex set of low…

Data Structures and Algorithms · Computer Science 2025-08-08 Joyentanuj Das , Suranjan De , He Sun