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In this paper, a statistical analysis of the structure of one blog community, a kind of social networks, is presented. The quantities such as degree distribution, clustering coefficient, average shortest path length are calculated to…

Statistics Theory · Mathematics 2007-06-13 Feng Fu , Lianghuan Liu , Kai Yang , Long Wang

The availability of large scale streaming network data has reinforced the ubiquity of power-law distributions in observations and enabled precision measurements of the distribution parameters. The increased accuracy of these measurements…

Physics and Society · Physics 2021-08-23 Pat Devlin , Jeremy Kepner , Ashley Luo , Erin Meger

Power-law distributions occur in many situations of scientific interest and have significant consequences for our understanding of natural and man-made phenomena. Unfortunately, the detection and characterization of power laws is…

Data Analysis, Statistics and Probability · Physics 2009-11-12 Aaron Clauset , Cosma Rohilla Shalizi , M. E. J. Newman

We study the fundamental online k-server problem in a learning-augmented setting. While in the traditional online model, an algorithm has no information about the request sequence, we assume that there is given some advice (e.g.…

Machine Learning · Computer Science 2021-11-17 Alexander Lindermayr , Nicole Megow , Bertrand Simon

The presence of self-organized criticality in biology is often evidenced by a power-law scaling of event size distributions, which can be measured by linear regression on logarithmic axes. We show here that such a procedure does not…

Adaptation and Self-Organizing Systems · Physics 2015-05-14 Jonathan Touboul , Alain Destexhe

We consider energy minimization for data-intensive applications run on large number of servers, for given performance guarantees. We consider a system, where each incoming application is sent to a set of servers, and is considered to be…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-19 Ajay Badita , Rooji Jinan , Balajee Vamanan , Parimal Parag

Inspired by reliability issues in electric transmission networks, we use a probabilistic approach to study the occurrence of large failures in a stylized cascading failure model. In this model, lines have random capacities that initially…

Probability · Mathematics 2016-04-14 F. Sloothaak , S. C. Borst , A. P. Zwart

The increasing availability of learning activity data in Massive Open Online Courses (MOOCs) enables us to conduct a large-scale analysis of learners' learning behavior. In this paper, we analyze a dataset of 351 million learning activities…

Information Retrieval · Computer Science 2024-08-07 Xin Zhou , Aixin Sun , Jie Zhang , Donghui Lin

It has been shown that a class of probabilistic domain models cannot be learned correctly by several existing algorithms which employ a single-link look ahead search. When a multi-link look ahead search is used, the computational complexity…

Artificial Intelligence · Computer Science 2013-02-08 TongSheng Chu , Yang Xiang

State-machine replication, a fundamental approach to fault tolerance, requires replicas to execute commands deterministically, which usually results in sequential execution of commands. Sequential execution limits performance and underuses…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-04-29 Parisa Jalili Marandi , Fernando Pedone

Recent studies of cluster distribution in various ecosystems revealed Pareto statistics for the size of spatial colonies. These results were supported by cellular automata simulations that yield robust criticality for endogenous pattern…

Populations and Evolution · Quantitative Biology 2008-10-07 Alon Manor , Nadav M. Shnerb

The citations to a set of academic articles are typically unevenly shared, with many articles attracting few citations and few attracting many. It is important to know more precisely how citations are distributed in order to help…

Digital Libraries · Computer Science 2015-11-02 Mike Thelwall , Paul Wilson

Additive two-tower models are popular learning-to-rank methods for handling biased user feedback in industry settings. Recent studies, however, report a concerning phenomenon: training two-tower models on clicks collected by well-performing…

Information Retrieval · Computer Science 2025-09-01 Philipp Hager , Onno Zoeter , Maarten de Rijke

A recent analysis of empirical limit order flow data highlights the necessity for a more refined order flow model that integrates the power-law distribution of limit order cancellation times. These cancellation times follow a discrete…

Physics and Society · Physics 2024-07-19 Vygintas Gontis

We study the caching problem when we are allowed to match each user to one of a subset of caches after its request is revealed. We focus on non-uniformly popular content, specifically when the file popularities obey a Zipf distribution. We…

Information Theory · Computer Science 2018-05-08 Jad Hachem , Nikhil Karamchandani , Sharayu Moharir , Suhas Diggavi

There are several ideas being used today for Web information retrieval, and specifically in Web search engines. The PageRank algorithm is one of those that introduce a content-neutral ranking function over Web pages. This ranking is applied…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Giorgos Kollias , Efstratios Gallopoulos , Daniel B. Szyld

Cloud computing has become the leading paradigm for deploying large-scale infrastructures and running big data applications, due to its capacity of achieving economies of scale. In this work, we focus on one of the most prominent advantages…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-05-20 Athanasios Naskos , Emmanouela Stachtiari , Anastasios Gounaris , Panagiotis Katsaros , Dimitrios Tsoumakos , Ioannis Konstantinou , Spyros Sioutas

The problem of online scheduling of multi-server jobs is considered, where there are a total of $K$ servers, and each job requires concurrent service from multiple servers for it to be processed. Each job on its arrival reveals its…

Data Structures and Algorithms · Computer Science 2024-07-02 Rahul Vaze

Network data appear in a number of applications, such as online social networks and biological networks, and there is growing interest in both developing models for networks as well as studying the properties of such data. Since individual…

Machine Learning · Statistics 2016-03-23 Diana Cai , Tamara Broderick

We propose a model for online graph problems where algorithms are given access to an oracle that predicts (e.g., based on modeling assumptions or on past data) the degrees of nodes in the graph. Within this model, we study the classic…

Data Structures and Algorithms · Computer Science 2022-11-16 Anders Aamand , Justin Y. Chen , Piotr Indyk