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PageRank is a Web page ranking technique that has been a fundamental ingredient in the development and success of the Google search engine. The method is still one of the many signals that Google uses to determine which pages are most…

Information Retrieval · Computer Science 2010-08-17 Massimo Franceschet

Ranking on large-scale graphs plays a fundamental role in many high-impact application domains, ranging from information retrieval, recommender systems, sports team management, biology to neuroscience and many more. PageRank, together with…

Social and Information Networks · Computer Science 2018-11-27 Jian Kang , Meijia Wang , Nan Cao , Yinglong Xia , Wei Fan , Hanghang Tong

In this paper new results on personalized PageRank are shown. We consider directed graphs that may contain dangling nodes. The main result presented gives an analytical characterization of all the possible values of the personalized…

Discrete Mathematics · Computer Science 2012-07-13 Esther Garcia , Francisco Pedroche , Miguel Romance

Google employs PageRank to rank web pages, determining the order in which search results are presented to users based on their queries. PageRank is primarily utilized for directed networks, although there are instances where it is also…

Physics and Society · Physics 2024-11-26 Krishanu Deyasi

We study the problem of estimating a vertex's PageRank within a constant relative error, with constant probability. We prove that an adaptive variant of the simple classic bidirectional algorithm is instance-optimal up to a polylogarithmic…

Data Structures and Algorithms · Computer Science 2026-05-15 Mikkel Thorup , Hanzhi Wang

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

Image-Text Retrieval (ITR) is essentially a ranking problem. Given a query caption, the goal is to rank candidate images by relevance, from large to small. The current ITR datasets are constructed in a pairwise manner. Image-text pairs are…

Computer Vision and Pattern Recognition · Computer Science 2023-05-29 Zheng Li , Caili Guo , Xin Wang , Zerun Feng , Yanjun Wang

We propose a new data mining approach in ranking documents based on the concept of cone-based generalized inequalities between vectors. A partial ordering between two vectors is made with respect to a proper cone and thus learning the…

Machine Learning · Computer Science 2012-06-21 Truyen T. Tran , Duc Son Pham

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

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

PageRank is arguably the most popular ranking algorithm which is being applied in real systems ranging from information to biological and infrastructure networks. Despite its outstanding popularity and broad use in different areas of…

Physics and Society · Physics 2015-12-09 Manuel Sebastian Mariani , Matus Medo , Yi-Cheng Zhang

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

Google's PageRank has created a new synergy to information retrieval for a better ranking of Web pages. It ranks documents depending on the topology of the graphs and the weights of the nodes. PageRank has significantly advanced the field…

Digital Libraries · Computer Science 2010-12-23 Ying Ding , Erjia Yan , Arthur Frazho , James Caverlee

Unbiased learning to rank (ULTR) studies the problem of mitigating various biases from implicit user feedback data such as clicks, and has been receiving considerable attention recently. A popular ULTR approach for real-world applications…

Information Retrieval · Computer Science 2023-06-06 Yunan Zhang , Le Yan , Zhen Qin , Honglei Zhuang , Jiaming Shen , Xuanhui Wang , Michael Bendersky , Marc Najork

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

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

PageRank has become a key element in the success of search engines, allowing to rank the most important hits in the top screen of results. One key aspect that distinguishes PageRank from other prestige measures such as in-degree is its…

Information Retrieval · Computer Science 2007-05-23 Santo Fortunato , Marian Boguna , Alessandro Flammini , Filippo Menczer

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

Since the advent of the Internet, quantifying the relative importance of web pages is at the core of search engine methods. According to one algorithm, PageRank, the worldwide web structure is represented by the Google matrix, whose…

Disordered Systems and Neural Networks · Physics 2021-04-07 Kirill P. Kalinin , Natalia G. Berloff

In this work we introduce and study a nonlocal version of the PageRank. In our approach, the random walker explores the graph using longer excursions than just moving between neighboring nodes. As a result, the corresponding ranking of the…

Social and Information Networks · Computer Science 2021-03-10 Stefano Cipolla , Fabio Durastante , Francesco Tudisco