Out that serve to highlight the need for additional

Info icon This preview shows pages 2–4. Sign up to view the full content.

View Full Document Right Arrow Icon
out that serve to highlight the need for additional research contributions in this burgeoning area. 1.1.1. Modern network data sets Though once primarily the domain of social scientists, a view of networks as data objects is now of interest to researchers in areas spanning biology, finance, engineering, and library science, among others. Newman (2003) provides an extensive review of modern network data sets; other exam- ples of note include mobile phone records, which link customers accord- ing to their phone calls (Eagle et al. , 2008); the internet, including both web pages connected by hyperlinks (Adamic and Huberman, 2000) and peer-to-peer networks (Stutzbach et al. , 2006); electrical power networks, in which local grids are physically connected by long-distance transmission lines (Watts and Strogatz, 1998); and publication networks, where citations provide explicit links between authors (de Solla Price, 1965). At the same time, other scientific fields are beginning to reinterpret traditional data sets as networks, in order to better understand, summarize, and visualize relationships amongst very large numbers of observations. Examples include protein–protein interaction networks, with isolated pairs of proteins deemed connected if an experiment suggests that they interact (Batada et al. , 2006); online financial transactions, whereupon items are considered to be linked if they are typically purchased together (Jin et al. , 2007); food webs, with species linked by predator–prey relationships (Dunne et al. , 2002); and spatial data sets (Thompson, 2006; Ceyhan et al. , 2007). 1.1.2. Organization and aims of the chapter The above examples attest both to the wide variety of networks encountered in contemporary applications, as well as the multiple expanding literatures Copyright © 2014. Imperial College Press. All rights reserved. May not be reproduced in any form without permission from the publisher, except fair uses permitted under U.S. or applicable copyright law. EBSCO Publishing : eBook Collection (EBSCOhost) - printed on 2/16/2016 3:37 AM via CGC-GROUP OF COLLEGES (GHARUAN) AN: 779681 ; Heard, Nicholas, Adams, Niall M..; Data Analysis for Network Cyber-security Account: ns224671
Image of page 2

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Inference for Graphs and Networks 3 on their analysis. In this chapter, we focus on introducing the subject from first principles and framing key inferential questions. We begin with a dis- cussion of relational data in Section 1.2, and introduce notation to make the connection to networks precise. We discuss model specification and infer- ence in Section 1.3, by way of concrete definitions and examples. We intro- duce new ideas for detecting network structure in Section 1.4, and apply them to data analysis by way of formal testing procedures. In Section 1.5 we discuss open problems and future challenges for large-scale network infer- ence in the key areas of model elicitation, approximate fitting procedures, and issues of data sampling. In a concluding appendix we provide a more thorough introduction to the current literature, highlighting contributions to the field from statistics as well as a variety of other disciplines.
Image of page 3
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern