Topological characterization of S[B] systems: From data to models of complexity

Bibliographic Details
Title: Topological characterization of S[B] systems: From data to models of complexity
Authors: Merelli, Emanuela, Rucco, Matteo, Sloot, Peter, Tesei, Luca
Publication Year: 2015
Collection: Computer Science
Subject Terms: Computer Science - Emerging Technologies
More Details: 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. The other level, the behavioral B one, is characterized by a network of interacting computational agents described by a Higher Dimensional Automaton. The methodology yields also a representation of the evolution of the derived two-level model as a Persistent Entropy Automaton. The presented methodology is applied to a real case study, the Idiotypic Network of the mammal immune system.
Comment: 26 pages, 10 figures
Document Type: Working Paper
Access URL: http://arxiv.org/abs/1505.05768
Accession Number: edsarx.1505.05768
Database: arXiv
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