Hochschulschrift

Estimating states and interactions in complex systems

Zusammenfassung: Complex systems such as social societies, the brain, the stock market, or the signaling in living cells can be visualized and investigated by means of their network representation. A complex system is modeled as a network by identifying its individual parts as nodes and modeling the interaction between its parts as links. By means of its network representation a complex system can also be treated mathematically.In application, the network representing a complex systems is constructed based on observations recorded from the system. The nodes of such an empirical network are commonly defined by the recording sites, its links are established by applying a measure of interdependence, such as the correlation coefficient, to the observations. The correlation coefficient is a bivariate measure, i.e., the recordings of two nodes are taken into account while the recordings of all other nodes are disregarded. Bivariate methods lead to so-called indirect links in a network. An indirect link suggests a direct interaction between two nodes, even though the latter share no direct physical connection in the system under investigation.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch
Notes
Albert-Ludwigs-Universität Freiburg, Dissertation, 2016

Classification
Mathematik
Keyword
Kalman-Filter
Zustandsraum
EM-Algorithmus
Elektrokardiogramm
Netzwerkanalyse
Korrelation

Event
Veröffentlichung
(where)
Freiburg
(who)
Universität
(when)
2016
Creator
Contributor

DOI
10.6094/UNIFR/11089
URN
urn:nbn:de:bsz:25-freidok-110892
Rights
Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
25.03.2025, 1:42 PM CET

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Object type

  • Hochschulschrift

Associated

Time of origin

  • 2016

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