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In this paper we present a new method that can accelerate the computation of the PageRank importance vector. Our method, called D-Iteration (DI), is based on the decomposition of the matrix-vector product that can be seen as a fluid…

Data Structures and Algorithms · Computer Science 2015-05-07 Dohy Hong , The Dang Huynh , Fabien Mathieu

PageRank has numerous applications in information retrieval, reputation systems, machine learning, and graph partitioning.In this paper, we study PageRank in undirected random graphs with expansion property. The Chung-Lu random graph…

Social and Information Networks · Computer Science 2016-11-28 Konstantin Avrachenkov , Arun Kadavankandy , Liudmila Ostroumova , Andrei Raigorodskii

In this paper, we analyze the efficiency of Monte Carlo methods for incremental computation of PageRank, personalized PageRank, and similar random walk based methods (with focus on SALSA), on large-scale dynamically evolving social…

Data Structures and Algorithms · Computer Science 2010-09-01 Bahman Bahmani , Abdur Chowdhury , Ashish Goel

Aggregating multiple input rankings into a consensus ranking is essential in various fields such as social choice theory, hiring, college admissions, web search, and databases. A major challenge is that the optimal consensus ranking might…

Data Structures and Algorithms · Computer Science 2026-02-25 Diptarka Chakraborty , Himika Das , Sanjana Dey , Alvin Hong Yao Yan

In this article we will look at the PageRank algorithm used as part of the ranking process of different Internet pages in search engines by for example Google. This article has its main focus in the understanding of the behavior of PageRank…

Information Retrieval · Computer Science 2014-01-24 Christopher Engström , Sergei Silvestrov

Multi-agent coordination algorithms with randomized interactions have seen use in a variety of settings in the multi-agent systems literature. In some cases, these algorithms can be random by design, as in a gossip-like algorithm, and in…

Optimization and Control · Mathematics 2017-03-22 Matthew T. Hale , Magnus Egerstedt

TextRank is a variant of PageRank typically used in graphs that represent documents, and where vertices denote terms and edges denote relations between terms. Quite often the relation between terms is simple term co-occurrence within a…

Information Retrieval · Computer Science 2017-04-07 Wei Lu , Qikai Cheng , Christina Lioma

Motivated by online advertisement and exchange settings, greedy randomized algorithms for the maximum matching problem have been studied, in which the algorithm makes (random) decisions that are essentially oblivious to the input graph. Any…

Data Structures and Algorithms · Computer Science 2013-07-12 T-H. Hubert Chan , Fei Chen , Xiaowei Wu , Zhichao Zhao

Ranking algorithms are deployed widely to order a set of items in applications such as search engines, news feeds, and recommendation systems. Recent studies, however, have shown that, left unchecked, the output of ranking algorithms can…

Data Structures and Algorithms · Computer Science 2018-07-31 L. Elisa Celis , Damian Straszak , Nisheeth K. Vishnoi

We study the relation between PageRank and other parameters of information networks such as in-degree, out-degree, and the fraction of dangling nodes. We model this relation through a stochastic equation inspired by the original definition…

Probability · Mathematics 2008-04-03 Yana Volkovich , Nelly Litvak , Debora Donato

Iterative numerical algorithms are typically equipped with a stopping criterion, where the iteration process is terminated when some error or misfit measure is deemed to be below a given tolerance. This is a useful setting for comparing…

Numerical Analysis · Computer Science 2014-12-04 Uri Ascher , Farbod Roosta-Khorasani

In this paper, we discuss the sensitivity of quantum PageRank. By using the finite dimensional perturbation theory, we estimate the change of the quantum PageRank under a small analytical perturbation on the Google matrix. In addition, we…

Machine Learning · Statistics 2019-07-04 Hirotada Honda

PageRank for Semi-Supervised Learning has shown to leverage data structures and limited tagged examples to yield meaningful classification. Despite successes, classification performance can still be improved, particularly in cases of fuzzy…

Social and Information Networks · Computer Science 2019-03-15 Esteban Bautista , Patrice Abry , Paulo Gonçalves

Node influence metrics have been applied to many applications, including ranking web pages on internet, or locations on spatial networks. PageRank is a popular and effective algorithm for estimating node influence. However, conventional…

Social and Information Networks · Computer Science 2021-04-07 Qiwei Ma , Zhaoya Gong

PageRank is a well-known algorithm for measuring centrality in networks. It was originally proposed by Google for ranking pages in the World-Wide Web. One of the intriguing empirical properties of PageRank is the so-called `power-law…

Probability · Mathematics 2018-03-19 Alessandro Garavaglia , Remco van der Hofstad , Nelly Litvak

The PageRank algorithm is used to rank web pages by their importance. Since its development, the PageRank algorithm is a critical and fundamental part of search engines today. PageRank is a graph-based algorithm that ranks pages based on…

Quantum Physics · Physics 2023-04-25 Christopher Sims

In search settings, calibrating the scores during the ranking process to quantities such as click-through rates or relevance levels enhances a system's usefulness and trustworthiness for downstream users. While previous research has…

Information Retrieval · Computer Science 2024-08-28 Puxuan Yu , Daniel Cohen , Hemank Lamba , Joel Tetreault , Alex Jaimes

In this paper, we study Ranking, a well-known randomized greedy matching algorithm, for general graphs. The algorithm was originally introduced by Karp, Vazirani, and Vazirani [STOC 1990] for the online bipartite matching problem with…

Data Structures and Algorithms · Computer Science 2025-11-11 Mahsa Derakhshan , Mohammad Roghani , Mohammad Saneian , Tao Yu

Learning-to-Rank (LTR) models trained from implicit feedback (e.g. clicks) suffer from inherent biases. A well-known one is the position bias -- documents in top positions are more likely to receive clicks due in part to their position…

Information Retrieval · Computer Science 2020-07-21 Mucun Tian , Chun Guo , Vito Ostuni , Zhen Zhu

The central problem in this work is to compute a ranking of a set of elements which is "closest to" a given set of input rankings of the elements. We define "closest to" in an established way as having the minimum sum of Kendall-Tau…

Data Structures and Algorithms · Computer Science 2011-08-11 Robert Bredereck