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The effect of adjusting damping factor {\alpha} and tolerance {\tau} on iterations needed for PageRank computation is studied here. Relative performance of PageRank computation with L1, L2, and L{\infty} norms used as convergence check, are…

Discrete Mathematics · Computer Science 2021-08-09 Subhajit Sahu , Kishore Kothapalli , Dip Sankar Banerjee

A hypergraph is a useful combinatorial object to model ternary or higher-order relations among entities. Clustering hypergraphs is a fundamental task in network analysis. In this study, we develop two clustering algorithms based on…

Data Structures and Algorithms · Computer Science 2021-10-27 Yuuki Takai , Atsushi Miyauchi , Masahiro Ikeda , Yuichi Yoshida

Consider a random graph model where each possible edge $e$ is present independently with some probability $p_e$. Given these probabilities, we want to build a large/heavy matching in the randomly generated graph. However, the only way we…

Data Structures and Algorithms · Computer Science 2010-09-01 Nikhil Bansal , Anupam Gupta , Jian Li , Julian Mestre , Viswanath Nagarajan , Atri Rudra

This work tackles the fundamental challenges in Federated Learning (FL) posed by arbitrary client participation and data heterogeneity, prevalent characteristics in practical FL settings. It is well-established that popular FedAvg-style…

Machine Learning · Computer Science 2025-10-07 Bicheng Ying , Zhe Li , Haibo Yang

Personalalized PageRank uses random walks to determine the importance or authority of nodes in a graph from the point of view of a given source node. Much past work has considered how to compute personalized PageRank from a given source…

Data Structures and Algorithms · Computer Science 2014-04-15 Peter Lofgren , Ashish Goel

HodgeRank generalizes ranking algorithms, e.g. Google PageRank, to rank alternatives based on real-world (often incomplete) data using graphs and discrete exterior calculus. It analyzes multipartite interactions on high-dimensional networks…

Quantum Physics · Physics 2025-06-26 Caesnan M. G. Leditto , Angus Southwell , Behnam Tonekaboni , Muhammad Usman , Kavan Modi

In this paper, we study Ranking, a well-known randomized greedy matching algorithm, for general graphs. The algorithm was originally introduced by Karp, Vazirani, and Vazirani [STOC 1990] for the online bipartite matching problem with…

Data Structures and Algorithms · Computer Science 2025-11-11 Mahsa Derakhshan , Mohammad Roghani , Mohammad Saneian , Tao Yu

In the search engine of Google, the PageRank algorithm plays a crucial role in ranking the search results. The algorithm quantifies the importance of each web page based on the link structure of the web. We first provide an overview of the…

Systems and Control · Computer Science 2012-03-30 Hideaki Ishii , Roberto Tempo

{\em Personalized PageRank (PPR)} stands as a fundamental proximity measure in graph mining. Since computing an exact SSPPR query answer is prohibitive, most existing solutions turn to approximate queries with guarantees. The…

Databases · Computer Science 2022-12-27 Guanhao Hou , Qintian Guo , Fangyuan Zhang , Sibo Wang , Zhewei Wei

The PageRank algorithm employed by Google quantifies the importance of each page by the link structure of the web. To reduce the computational burden the distributed randomized PageRank algorithms (DRPA) recently appeared in literature…

Systems and Control · Computer Science 2013-05-15 Wenxiao Zhao , Han-Fu Chen , Hai-Tao Fang

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

Rank fusion is a powerful technique that allows multiple sources of information to be combined into a single result set. However, to date fusion has not been regarded as being cost-effective in cases where strict per-query efficiency…

Information Retrieval · Computer Science 2020-11-11 Rodger Benham , Joel Mackenzie , Alistair Moffat , J. Shane Culpepper

Graph-augmented retrieval combines dense similarity with graph-based relevance signals such as Personalized PageRank (PPR), but these scores have different distributions and are not directly comparable. We study this as a score calibration…

Information Retrieval · Computer Science 2026-04-29 Andre Bacellar

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…

Data Structures and Algorithms · Computer Science 2021-11-29 Hanzhi Wang , Mingguo He , Zhewei Wei , Sibo Wang , Ye Yuan , Xiaoyong Du , Ji-Rong Wen

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

Personalized PageRank Vectors are widely used as fundamental graph-learning tools for detecting anomalous spammers, learning graph embeddings, and training graph neural networks. The well-known local FwdPush algorithm approximates PPVs and…

Data Structures and Algorithms · Computer Science 2023-06-07 Zhen Chen , Xingzhi Guo , Baojian Zhou , Deqing Yang , Steven Skiena

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

The goal of information retrieval is to recommend a list of document candidates that are most relevant to a given query. Listwise learning trains neural retrieval models by comparing various candidates simultaneously on a large scale,…

Information Retrieval · Computer Science 2021-07-30 Zhizhong Chen , Carsten Eickhoff

Motivated by online advertisement and exchange settings, greedy randomized algorithms for the maximum matching problem have been studied, in which the algorithm makes (random) decisions that are essentially oblivious to the input graph. Any…

Data Structures and Algorithms · Computer Science 2013-07-12 T-H. Hubert Chan , Fei Chen , Xiaowei Wu , Zhichao Zhao

We propose a new algorithm, FAST-PPR, for estimating personalized PageRank: given start node $s$ and target node $t$ in a directed graph, and given a threshold $\delta$, FAST-PPR estimates the Personalized PageRank $\pi_s(t)$ from $s$ to…

Data Structures and Algorithms · Computer Science 2014-08-25 Peter Lofgren , Siddhartha Banerjee , Ashish Goel , C. Seshadhri