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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

In large-scale ranking systems, cascading architectures have been widely adopted to achieve a balance between efficiency and effectiveness. The pre-ranking module plays a vital role in selecting a subset of candidates for the subsequent…

Information Retrieval · Computer Science 2024-07-18 YaChen Yan , Liubo Li

We introduce a new framework for web page ranking -- reinforcement ranking -- that improves the stability and accuracy of Page Rank while eliminating the need for computing the stationary distribution of random walks. Instead of relying on…

Information Retrieval · Computer Science 2013-03-26 Hengshuai Yao , Dale Schuurmans

We introduce weighted Markovian graphs, a random walk model that decouples the transition dynamics of a Markov chain from (random) edge weights representing the cost of traversing each edge. This decoupling allows us to study the…

Optimization and Control · Mathematics 2026-03-30 Thao Le , Robbert van der Burg , Bernd Heidergott , Ines Lindner , Alessandro Zocca

Determining the relative importance of nodes in directed networks is important in, for example, ranking websites, publications, and sports teams, and for understanding signal flows in systems biology. A prevailing centrality measure in this…

Physics and Society · Physics 2010-11-10 Naoki Masuda , Hiroshi Kori

Complex networks are formal frameworks capturing the interdependencies between the elements of large systems and databases. This formalism allows to use network navigation methods to rank the importance that each constituent has on the…

Quantum Physics · Physics 2012-09-07 Eduardo Sánchez-Burillo , Jordi Duch , Jesús Gómez-Gardenes , David Zueco

We present a comprehensive analysis of algebraic methods for controlling the stationary distribution of PageRank-like random walkers. Building upon existing literature, we compile and extend results regarding both structural control…

Social and Information Networks · Computer Science 2025-08-26 Gonzalo Contreras-Aso , Regino Criado , Miguel Romance

As the calculation of centrality in complex networks becomes increasingly vital across technological, biological, and social systems, precise and scalable ranking methods are essential for understanding these networks. This paper introduces…

Social and Information Networks · Computer Science 2025-01-30 Hao Ren , Jiaojiao Jiang

This work extends the personalized PageRank model invented by Brin and Page to a family of PageRank models with various damping schemes. The goal with increased model variety is to capture or recognize a larger number of types of network…

Social and Information Networks · Computer Science 2018-06-04 Tiancheng Liu , Yuchen Qian , Xi Chen , Xiaobai Sun

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

In the study of small and large networks it is customary to perform a simple random walk, where the random walker jumps from one node to one of its neighbours with uniform probability. The properties of this random walk are intimately…

Data Analysis, Statistics and Probability · Physics 2013-09-18 Jean-Charles Delvenne , Anne-Sophie Libert

Competition is ubiquitous in many complex biological, social, and technological systems, playing an integral role in the evolutionary dynamics of the systems. It is often useful to determine the dominance hierarchy or the rankings of the…

Physics and Society · Physics 2019-01-09 Seungkyu Shin , Sebastian E. Ahnert , Juyong Park

Analysis of aggregate and individual Web traffic has shown that PageRank is a poor model of how people navigate the Web. Using the empirical traffic patterns generated by a thousand users, we characterize several properties of Web traffic…

Networking and Internet Architecture · Computer Science 2011-11-24 Mark Meiss , Bruno Gonçalves , José J. Ramasco , Alessandro Flammini , Filippo Menczer

Random walks are a fundamental tool for analyzing realistic complex networked systems and implementing randomized algorithms to solve diverse problems such as searching and sampling. For many real applications, their actual effect and…

Social and Information Networks · Computer Science 2018-03-09 Yuan Lin , Zhongzhi Zhang

Determining the key elements of interconnected infrastructure and complex systems is paramount to ensure system functionality and integrity. This work quantifies the dominance of the networks' nodes in their respective neighborhoods,…

Physics and Society · Physics 2023-11-30 Marcus Engsig , Alejandro Tejedor , Yamir Moreno , Efi Foufoula-Georgiou , Chaouki Kasmi

After the phenomenal success of the PageRank algorithm, many researchers have extended the PageRank approach to ranking graphs with richer structures beside the simple linkage structure. In some scenarios we have to deal with…

Numerical Analysis · Mathematics 2018-11-15 Gianna M. Del Corso , Francesco Romani

The PageRank algorithm enables to rank the nodes of a network through a specific eigenvector of the Google matrix, using a damping parameter $\alpha \in ]0,1[$. Using extensive numerical simulations of large web networks, with a special…

Information Retrieval · Computer Science 2011-11-04 K. M. Frahm , B. Georgeot , D. L. Shepelyansky

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

Traditional ranking systems optimize offline proxy objectives that rely on oversimplified assumptions about user behavior, often neglecting factors such as position bias and item diversity. Consequently, these models fail to improve true…

Information Retrieval · Computer Science 2025-10-21 Gaurav Bhatt , Kiran Koshy Thekumparampil , Tanmay Gangwani , Tesi Xiao , Leonid Sigal

Reinforcement learning has gained wide popularity as a technique for simulation-driven approximate dynamic programming. A less known aspect is that the very reasons that make it effective in dynamic programming can also be leveraged for…

Machine Learning · Computer Science 2013-11-13 Vivek S. Borkar , Adwaitvedant S. Mathkar