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Real-world social networks have structural inequalities, including the majority and minorities, and fairness-agnostic centrality measures often amplify these inequalities by disproportionately favoring majority nodes. Fairness-Sensitive…

社会与信息网络 · 计算机科学 2026-02-03 Mukesh Kumar , Gaurav Dixit , Akrati Saxena

The PageRank algorithm employed at Google assigns a measure of importance to each web page for rankings in search results. In our recent papers, we have proposed a distributed randomized approach for this algorithm, where web pages are…

系统与控制 · 计算机科学 2016-11-15 Hideaki Ishii , Roberto Tempo , Er-Wei Bai

We consider a decentralized learning setting in which data is distributed over nodes in a graph. The goal is to learn a global model on the distributed data without involving any central entity that needs to be trusted. While gossip-based…

信息论 · 计算机科学 2021-03-17 Ghadir Ayache , Salim El Rouayheb

We give a fully polynomial-time randomized approximation scheme (FPRAS) for the all-terminal network reliability problem, which is to determine the probability that, in a undirected graph, assuming each edge fails independently, the…

数据结构与算法 · 计算机科学 2021-06-16 Heng Guo , Mark Jerrum

We introduce a formalism based on a continuous time approximation, to study the characteristics of Page Rank random walks. We find that the diffusion of the occupancy probability has a dynamics that exponentially "forgets" the initial…

统计力学 · 物理学 2020-07-17 Emilio Aced Fuentes , Simone Santini

We study the escape probability problem in random walks over graphs. Given vertices, $s,t,$ and $p$, the problem asks for the probability that a random walk starting at $s$ will hit $t$ before hitting $p$. Such probabilities can be…

数据结构与算法 · 计算机科学 2024-09-17 Jingbang Chen , Mehrdad Ghadiri , Hoai-An Nguyen , Richard Peng , Junzhao Yang

In this paper, we propose a deterministic algorithm that approximates the optimal path cover on weighted undirected graphs. Based on the 1/2-Approximation Path Cover Algorithm by Moran et al., we add a procedure to remove the redundant…

数值分析 · 数学 2021-01-25 Junyuan Lin , Guangpeng Ren

Recent work on the structure of social networks and the internet has focussed attention on graphs with distributions of vertex degree that are significantly different from the Poisson degree distributions that have been widely studied in…

统计力学 · 物理学 2009-10-31 M. E. J. Newman , S. H. Strogatz , D. J. Watts

In this paper, we consider a non-convex loss-minimization problem of learning Supervised PageRank models, which can account for some properties not considered by classical approaches such as the classical PageRank model. We propose…

In this paper we present a novel algorithm to study the evolution of credit risk across complex multilayer networks. Pagerank-like algorithms allow for the propagation of an influence variable across single networks, and allow quantifying…

社会与信息网络 · 计算机科学 2020-08-24 Cristián Bravo , María Óskarsdóttir

We propose local-biased random walks on general networks where a Markovian walker can choose between different types of biases in each node to define transitions to its neighbors depending on their degrees. For this ergodic dynamics, we…

统计力学 · 物理学 2022-04-27 Christopher Sebastian Hidalgo Calva , Alejandro P. Riascos

There has been a rising interest in graph neural networks (GNNs) for representation learning over the past few years. GNNs provide a general and efficient framework to learn from graph-structured data. However, GNNs typically only use the…

机器学习 · 计算机科学 2022-08-30 Julie Choi

Efficient computation of node proximity queries such as transition probabilities, Personalized PageRank, and Katz are of fundamental importance in various graph mining and learning tasks. In particular, several recent works leverage fast…

数据结构与算法 · 计算机科学 2021-11-29 Hanzhi Wang , Mingguo He , Zhewei Wei , Sibo Wang , Ye Yuan , Xiaoyong Du , Ji-Rong Wen

Recent advances in unbiased learning to rank (LTR) count on Inverse Propensity Scoring (IPS) to eliminate bias in implicit feedback. Though theoretically sound in correcting the bias introduced by treating clicked documents as relevant, IPS…

信息检索 · 计算机科学 2021-11-16 Nan Wang , Zhen Qin , Xuanhui Wang , Hongning Wang

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…

信息检索 · 计算机科学 2013-03-26 Hengshuai Yao , Dale Schuurmans

Computing a shortest path between two nodes in an undirected unweighted graph is among the most basic algorithmic tasks. Breadth first search solves this problem in linear time, which is clearly also a lower bound in the worst case.…

数据结构与算法 · 计算机科学 2023-08-01 Noga Alon , Allan Grønlund , Søren Fuglede Jørgensen , Kasper Green Larsen

In a former paper the concept of Bipartite PageRank was introduced and a theorem on the limit of authority flowing between nodes for personalized PageRank has been generalized. In this paper we want to extend those results to multimodal…

社会与信息网络 · 计算机科学 2026-04-08 M. A. Kłopotek , S. T. Wierzchoń , R. A. Kłopotek

Random walk based sampling methods have been widely used in graph sampling in recent years, while it has bias towards higher degree nodes in the sample. To overcome this deficiency, classical methods such as GMD modify the topology of…

统计方法学 · 统计学 2022-09-27 Xiao Qi

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…

离散数学 · 计算机科学 2012-07-13 Esther Garcia , Francisco Pedroche , Miguel Romance

This paper studies the distribution of a family of rankings, which includes Google's PageRank, on a directed configuration model. In particular, it is shown that the distribution of the rank of a randomly chosen node in the graph converges…

概率论 · 数学 2014-10-14 Ningyuan Chen , Nelly Litvak , Mariana Olvera-Cravioto