Structure in complex networks / J. Reichardt.

Format:

Book

Author/Creator:

Reichardt, J. (Jörg)

Series:

Lecture notes in physics ; 766.

Lecture notes in physics, 0075-8450 ; 766

Language:

English

Subjects (All):

Cluster analysis.

Data mining.

Pattern recognition systems.

Graph theory.

Statistical physics.

Physical Description:

1 online resource (XIII, 151 p.)

Edition:

1st ed. 2009.

Place of Publication:

Berlin : Springer, 2009.

Language Note:

English

Summary:

In the modern world of gigantic datasets, which scientists and practioners of all fields of learning are confronted with, the availability of robust, scalable and easy-to-use methods for pattern recognition and data mining are of paramount importance, so as to be able to cope with the avalanche of data in a meaningful way. This concise and pedagogical research monograph introduces the reader to two specific aspects - clustering techniques and dimensionality reduction - in the context of complex network analysis. The first chapter provides a short introduction into relevant graph theoretical notation; chapter 2 then reviews and compares a number of cluster definitions from different fields of science. In the subsequent chapters, a first-principles approach to graph clustering in complex networks is developed using methods from statistical physics and the reader will learn, that even today, this field significantly contributes to the understanding and resolution of the related statistical inference issues. Finally, an application chapter examines real-world networks from the economic realm to show how the network clustering process can be used to deal with large, sparse datasets where conventional analyses fail.

Contents:

to Complex Networks

Standard Approaches to Network Structure: Block Modeling

A First Principles Approach to Block Structure Detection

Diagonal Block Models as Cohesive Groups

Modularity of Dense Random Graphs

Modularity of Sparse Random Graphs

Applications

Conclusion and Outlook.

Notes:

"ISSN electronic edition 1616-6361."

Includes bibliographical references.

ISBN:

9783540878339

3540878335