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The well-known statistic PageRank was created in 1998 by co-founders of Google, Sergey Brin and Larry Page, to optimize the ranking of websites for their search engine outcomes. It is computed using an iterative algorithm, based on the idea…

Computation · Statistics 2023-06-09 Yoichi Nishiyama

PageRank is a graph centrality metric that gives the importance of each node in a given graph. The PageRank algorithm provides important insights to understand the behavior of nodes through the connections they form with other nodes. It is…

Data Structures and Algorithms · Computer Science 2022-03-18 Shalini Jain , Rahul Utkoor , Hemalatha Eedi , Sathya Peri , Ramakrishna Upadrasta

A ranking is an ordered sequence of items, in which an item with higher ranking score is more preferred than the items with lower ranking scores. In many information systems, rankings are widely used to represent the preferences over a set…

Artificial Intelligence · Computer Science 2017-09-22 Zhiwei Lin , Yi Li , Xiaolian Guo

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

When estimating the relevancy between a query and a document, ranking models largely neglect the mutual information among documents. A common wisdom is that if two documents are similar in terms of the same query, they are more likely to…

Machine Learning · Computer Science 2019-09-17 Shihao Zou , Zhonghua Li , Mohammad Akbari , Jun Wang , Peng Zhang

An important method for search engine result ranking works by finding the principal eigenvector of the "Google matrix." Recently, a quantum algorithm for preparing this eigenvector and evidence of an exponential speedup for some scale-free…

We present a principled and efficient planning algorithm for collaborative multiagent dynamical systems. All computation, during both the planning and the execution phases, is distributed among the agents; each agent only needs to model and…

Artificial Intelligence · Computer Science 2013-01-07 Carlos E. Guestrin , Geoffrey Gordon

Ranking is one of the most fundamental problems in machine learning with applications in many branches of computer science such as: information retrieval systems, recommendation systems, machine translation and computational biology.…

Data Structures and Algorithms · Computer Science 2015-04-07 Krzysztof Choromanski

In important applications involving multi-task networks with multiple objectives, agents in the network need to decide between these multiple objectives and reach an agreement about which single objective to follow for the network. In this…

Optimization and Control · Mathematics 2018-12-27 Sahar Khawatmi , Abdelhak M. Zoubir , Ali H. Sayed

Ranking is a key aspect of many applications, such as information retrieval, question answering, ad placement and recommender systems. Learning to rank has the goal of estimating a ranking model automatically from training data. In…

Information Retrieval · Computer Science 2015-02-10 Truyen Tran , Dinh Phung , Svetha Venkatesh

Ranking systems form the basis for online search engines and recommendation services. They process large collections of items, for instance web pages or e-commerce products, and present the user with a small ordered selection. The goal of a…

Information Retrieval · Computer Science 2020-12-14 Harrie Oosterhuis

As decentralized AI and edge intelligence become increasingly prevalent, ensuring robustness and trustworthiness in such distributed settings has become a critical issue-especially in the presence of corrupted or adversarial data.…

Machine Learning · Statistics 2025-09-12 Anna Van Elst , Igor Colin , Stephan Clémençon

In this paper, we hope to bring closer graph theory and consensus algorithms. Firstly, we give a brief introduction to graph theory by listing a concise definition. Then we analyze and visualize some commonly used graphs. Secondly, we…

Discrete Mathematics · Computer Science 2021-01-27 Shen Zheng

We consider an online estimation problem involving a set of agents. Each agent has access to a (personal) process that generates samples from a real-valued distribution and seeks to estimate its mean. We study the case where some of the…

Machine Learning · Computer Science 2022-12-20 Mahsa Asadi , Aurélien Bellet , Odalric-Ambrym Maillard , Marc Tommasi

Rankings are ubiquitous in the online world today. As we have transitioned from finding books in libraries to ranking products, jobs, job applicants, opinions and potential romantic partners, there is a substantial precedent that ranking…

Information Retrieval · Computer Science 2018-10-18 Ashudeep Singh , Thorsten Joachims

A large part of the hidden web resides in weblog servers. New content is produced in a daily basis and the work of traditional search engines turns to be insufficient due to the nature of weblogs. This work summarizes the structure of the…

Information Retrieval · Computer Science 2009-03-25 A. Kritikopoulos , M. Sideri , I. Varlamis

PageRank is a ranking of the web pages that measures how often a given web page is visited by a random surfer on the web graph, for a simple model of web surfing. It seems realistic that PageRank may also have an influence on the behavior…

Probability · Mathematics 2007-12-05 Marianne Akian , Stephane Gaubert , Laure Ninove

We study the following generalized matrix rank estimation problem: given an $n \times n$ matrix and a constant $c \geq 0$, estimate the number of eigenvalues that are greater than $c$. In the distributed setting, the matrix of interest is…

Data Structures and Algorithms · Computer Science 2015-02-09 Yuchen Zhang , Martin J. Wainwright , Michael I. Jordan

Graph clustering is a fundamental computational problem with a number of applications in algorithm design, machine learning, data mining, and analysis of social networks. Over the past decades, researchers have proposed a number of…

Data Structures and Algorithms · Computer Science 2019-04-12 He Sun , Luca Zanetti

We give a new link spam detection and PageRank demotion algorithm called MaxRank. Like TrustRank and AntiTrustRank, it starts with a seed of hand-picked trusted and spam pages. We define the MaxRank of a page as the frequency of visit of…

Optimization and Control · Mathematics 2017-04-14 Olivier Fercoq