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Ranked lists are frequently used by information retrieval (IR) systems to present results believed to be relevant to the users information need. Fairness is a relatively new but important aspect of these rankings to measure, joining a rich…

信息检索 · 计算机科学 2022-01-11 Amifa Raj , Michael D. Ekstrand

PageRank is a widely used algorithm for ranking webpages and plays a significant role in determining web traffic. This study employs the Gini coefficient, a measure of income/wealth inequality, to assess the inequality in PageRank…

计算机与社会 · 计算机科学 2024-12-30 Subhajit Sahu

In this paper, we first extend the celebrated PageRank modification to a higher-order Markov chain. Although this system has attractive theoretical properties, it is computationally intractable for many interesting problems. We next study a…

数值分析 · 计算机科学 2015-11-13 David F. Gleich , Lek-Heng Lim , Yongyang Yu

This paper, broadly speaking, covers the use of randomness in two main areas: low-rank approximation and kernel methods. Low-rank approximation is very important in numerical linear algebra. Many applications depend on matrix decomposition…

数值分析 · 数学 2020-08-12 Rishi Advani , Madison Crim , Sean O'Hagan

This paper examines the fundamental problem of identifying the most important nodes in a network. We use an axiomatic approach to this problem. Specifically, we propose six simple properties and prove that PageRank is the only centrality…

社会与信息网络 · 计算机科学 2023-03-07 Tomasz Wąs , Oskar Skibski

The potential for machine learning systems to amplify social inequities and unfairness is receiving increasing popular and academic attention. Much recent work has focused on developing algorithmic tools to assess and mitigate such…

We investigate the behavior of the recently proposed quantum Google algorithm, or quantum PageRank, in large complex networks. Applying the quantum algorithm to a part of the real World Wide Web, we find that the algorithm is able to…

量子物理 · 物理学 2013-10-30 G. D. Paparo , M. Mueller , F. Comellas , M. A. Martin-Delgado

We introduce a set of techniques that allow for efficiently generating many independent random walks in the Massive Parallel Computation (MPC) model with space per machine strongly sublinear in the number of vertices. In this…

数据结构与算法 · 计算机科学 2019-11-07 Jakub Łącki , Slobodan Mitrović , Krzysztof Onak , Piotr Sankowski

We study the online metric matching problem. There are $m$ servers and $n$ requests located in a metric space, where all servers are available upfront and requests arrive one at a time. Upon the arrival of a new request, it needs to be…

数据结构与算法 · 计算机科学 2025-10-16 Mingwei Yang , Sophie H. Yu

A variety of metrics have been proposed to measure the relative importance of nodes in a network. One of these, alpha-centrality [Bonacich, 2001], measures the number of attenuated paths that exist between nodes. We introduce a normalized…

社会与信息网络 · 计算机科学 2012-08-06 Rumi Ghosh , Kristina Lerman

This paper aims to identify whether different weighted PageRank algorithms can be applied to author citation networks to measure the popularity and prestige of a scholar from a citation perspective. Information Retrieval (IR) was selected…

数字图书馆 · 计算机科学 2011-02-10 Ying Ding

A key challenge with machine learning approaches for ranking is the gap between the performance metrics of interest and the surrogate loss functions that can be optimized with gradient-based methods. This gap arises because ranking metrics…

机器学习 · 计算机科学 2021-11-30 Robin Swezey , Aditya Grover , Bruno Charron , Stefano Ermon

In this paper, we propose three methods to solve the PageRank problem for the transition matrices with both row and column sparsity. Our methods reduce the PageRank problem to the convex optimization problem over the simplex. The first…

We build up a directed network tracing links from a given integer to its divisors and analyze the properties of the Google matrix of this network. The PageRank vector of this matrix is computed numerically and it is shown that its…

信息检索 · 计算机科学 2012-09-21 K. M. Frahm , A. D. Chepelianskii , D. L. Shepelyansky

Recommendation systems often rely on point-wise loss metrics such as the mean squared error. However, in real recommendation settings only few items are presented to a user. This observation has recently encouraged the use of rank-based…

机器学习 · 计算机科学 2015-11-05 Phong Nguyen , Jun Wang , Alexandros Kalousis

We consider a broad class of walk-based, parameterized node centrality measures for network analysis. These measures are expressed in terms of functions of the adjacency matrix and generalize various well-known centrality indices, including…

数值分析 · 数学 2015-07-09 Michele Benzi , Christine Klymko

Bias and heterogeneity in peer assessment can lead to the issue of unfair scoring in the educational field. To deal with this problem, we propose a reference ranking method for an online peer assessment system using HodgeRank. Such a scheme…

机器学习 · 统计学 2018-03-08 Tse-Yu Lin , Yen-Lung Tsai

We study the blind centrality ranking problem, where our goal is to infer the eigenvector centrality ranking of nodes solely from nodal observations, i.e., without information about the topology of the network. We formalize these nodal…

社会与信息网络 · 计算机科学 2019-10-25 T. Mitchell Roddenberry , Santiago Segarra

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…

物理与社会 · 物理学 2019-01-09 Seungkyu Shin , Sebastian E. Ahnert , Juyong Park

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…

信息检索 · 计算机科学 2009-03-25 A. Kritikopoulos , M. Sideri , I. Varlamis