Title
Topological Characterization of Complex Systems: Using Persistent Entropy
Abstract
In this paper, we propose a methodology for deriving a model of a complex system by exploiting the information extracted from topological data analysis. Central to our approach is the S [ B ] paradigm in which a complex system is represented by a two-level model. One level, the structural S one, is derived using the newly-introduced quantitative concept of persistent entropy, and it is described by a persistent entropy automaton. The other level, the behavioral B one, is characterized by a network of interacting computational agents. The presented methodology is applied to a real case study, the idiotypic network of the mammalian immune system.
Year
DOI
Venue
2015
10.3390/e17106872
ENTROPY
Keywords
Field
DocType
topological data analysis,persistent entropy automaton,higher dimensional automata,immune system,idiotypic network,computational agents
Complex system,Topological data analysis,Automaton,Algorithm,Mathematics,Quantitative Concept
Journal
Volume
Issue
Citations 
17
10
9
PageRank 
References 
Authors
0.64
10
4
Name
Order
Citations
PageRank
Emanuela Merelli149854.79
Rucco Matteo2214.44
Peter M. A. Sloot33095513.51
Luca Tesei417722.01