Statistical Analysis of Graph Structures in Random Variable Networks - V. A. Kalyagin, A. P. Koldanov, P. A. Koldanov, P. M. Pardalos

Statistical Analysis of Graph Structures in Random Variable Networks

Buch | Softcover
VIII, 101 Seiten
2020 | 1st ed. 2020
Springer International Publishing (Verlag)
978-3-030-60292-5 (ISBN)
58,84 inkl. MwSt

This book studies complex systems with elements represented by random variables. Its main goal is to study and compare uncertainty of algorithms of network structure identification with applications to market network analysis. For this, a mathematical model of random variable network is introduced, uncertainty of identification procedure is defined through a risk function, random variables networks with different measures of similarity (dependence) are discussed, and general statistical properties of identification algorithms are studied. The volume also introduces a new class of identification algorithms based on a new measure of similarity and prove its robustness in a large class of distributions, and presents applications to social networks, power transmission grids, telecommunication networks, stock market networks, and brain networks through a theoretical analysis that identifies network structures. Both researchers and graduate students in computer science, mathematics, and optimization will find the applications and techniques presented useful.

1. Introduction.- 2. Random variable networks. -3. Network Identification Structure Algorithms.- 4. Uncertainty of Network Structure Identification.- 5. Robustness of Network Structure Identification.- 6. Optimality of Network Structure Identification.- 7. Applications to Market Network Analysis.- 8. Conclusion.- 9. References.


Erscheinungsdatum
Reihe/Serie SpringerBriefs in Optimization
Zusatzinfo VIII, 101 p. 9 illus., 3 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 185 g
Themenwelt Mathematik / Informatik Mathematik Angewandte Mathematik
Schlagworte graphical model selections • Maximum Clique • maximum spanning trees • network analysis • Network Structure Identification • random variable networks • Risk functions for network structure identification • robust statistical procedures • statistical procedures for network structure identification • stock market networks
ISBN-10 3-030-60292-3 / 3030602923
ISBN-13 978-3-030-60292-5 / 9783030602925
Zustand Neuware
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