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A statistical measure is given expressing relative occurrences of quantities within a given data set. Application of this measure on several real life physical data sets and some abstract distributions are shown to yield consistent results.…

Statistics Theory · Mathematics 2014-03-06 Alex Ely Kossovsky

Supervised machine learning and predictive models have achieved an impressive standard today, enabling us to answer questions that were inconceivable a few years ago. Besides these successes, it becomes clear, that beyond pure prediction,…

Machine Learning · Statistics 2025-01-29 Cornelia Gruber , Patrick Oliver Schenk , Malte Schierholz , Frauke Kreuter , Göran Kauermann

Statistics is one of the most valuable of disciplines. Science is based on proof and it alone produces results, other approaches are not, and do not. Statistics is the only acceptable language of proof in science. Yet statistics is…

Other Statistics · Statistics 2016-04-20 Alexander Nussbaum , Richard Seides

Networks are ubiquitous in science and have become a focal point for discussion in everyday life. Formal statistical models for the analysis of network data have emerged as a major topic of interest in diverse areas of study, and most of…

Methodology · Statistics 2009-12-31 Anna Goldenberg , Alice X Zheng , Stephen E Fienberg , Edoardo M Airoldi

The hyperlink prediction task, that of proposing new links between webpages, can be used to improve search engines, expand the visibility of web pages, and increase the connectivity and navigability of the web. Hyperlink prediction is…

Data Structures and Algorithms · Computer Science 2016-11-29 Dario Garcia-Gasulla , Eduard Ayguadé , Jesús Labarta , Ulises Cortés , Toyotaro Suzumura

The use of secure connections using HTTPS as the default means, or even the only means, to connect to web servers is increasing. It is being pushed from both sides: from the bottom up by client distributions and plugins, and from the top…

Networking and Internet Architecture · Computer Science 2017-06-12 George Michaelson , Matthew Roughan , Jonathan Tuke , Matt P. Wand , Randy Bush

Over the past decade, Internet centralization and its implications for both people and the resilience of the Internet has become a topic of active debate. While the networking community informally agrees on the definition of centralization,…

Networking and Internet Architecture · Computer Science 2025-04-29 Gautam Akiwate , Kimberly Ruth , Rumaisa Habib , Zakir Durumeric

The past analyses of datasets of social networks have enabled us to make empirical findings of a number of aspects of human society, which are commonly featured as stylized facts of social networks, such as broad distributions of network…

Physics and Society · Physics 2018-02-27 Hang-Hyun Jo , Yohsuke Murase , János Török , János Kertész , Kimmo Kaski

Driven by growing interest in the sciences, industry, and among the broader public, a large number of empirical studies have been conducted in recent years of the structure of networks ranging from the internet and the world wide web to…

Social and Information Networks · Computer Science 2018-06-08 M. E. J. Newman

Measuring science is based on comparing articles to similar others. However, keyword-based groups of thematically similar articles are dominantly small. These small sizes keep the statistical errors of comparisons high. With the growing…

Digital Libraries · Computer Science 2014-11-13 Adam Szanto-Varnagy , Peter Pollner , Tamas Vicsek , Illes J. Farkas

Learning properties of large graphs from samples has been an important problem in statistical network analysis since the early work of Goodman \cite{Goodman1949} and Frank \cite{Frank1978}. We revisit a problem formulated by Frank…

Statistics Theory · Mathematics 2019-06-18 Jason M. Klusowski , Yihong Wu

In the past two decades, significant advances have been made in understanding the structural and functional properties of biological networks, via graph-theoretic analysis. In general, most graph-theoretic studies are conducted in the…

Physics and Society · Physics 2013-10-21 Michelle Rudolph-Lilith , Lyle E. Muller

The growing complexity of the power grid, driven by increasing share of distributed energy resources and by massive deployment of intelligent internet-connected devices, requires new modelling tools for planning and operation. Physics-based…

Machine Learning · Statistics 2018-11-26 Francesco Fusco

It is often not possible to construct a probability density function that describes the data. This can happen if there is no analytic description, and the number of parameters is too large so that it is impossible to simulate and tabulate…

Instrumentation and Methods for Astrophysics · Physics 2013-11-28 Dmitry Chirkin

Looking into the growth of information in the web it is a very tedious process of getting the exact information the user is looking for. Many search engines generate user profile related data listing. This paper involves one such process…

Information Retrieval · Computer Science 2011-09-12 L. K. Joshila Grace , V. Maheswari , Dhinaharan Nagamalai

In this expository paper we give an overview of some statistical methods for the monitoring of social networks. We discuss the advantages and limitations of various methods as well as some relevant issues. One of our primary contributions…

Other Statistics · Statistics 2016-04-01 William H. Woodall , Meng J. Zhao , Kamran Paynabar , Ross Sparks , James D. Wilson

An important task in network analysis is the detection of anomalous events in a network time series. These events could merely be times of interest in the network timeline or they could be examples of malicious activity or network…

Machine Learning · Computer Science 2016-08-03 Timothy La Fond , Jennifer Neville , Brian Gallagher

Consider stochastic models for the spread of an infection in a structured community, where this structured community is itself described by a random network model. Some common network models and transmission models are defined and large…

Populations and Evolution · Quantitative Biology 2019-08-16 Tom Britton

Online behaviors of consumers and marketers generate massive marketing data, which ever more sophisticated models attempt to turn into insights and aid decisions by marketers. Yet, in making decisions human managers bring to bear marketing…

Artificial Intelligence · Computer Science 2020-01-27 Somak Aditya , Atanu Sinha

We develop a theory to measure the variance and covariance of probability distributions defined on the nodes of a graph, which takes into account the distance between nodes. Our approach generalizes the usual (co)variance to the setting of…

Physics and Society · Physics 2021-08-19 Karel Devriendt , Samuel Martin-Gutierrez , Renaud Lambiotte
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