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An analysis of network automata as models for biological and natural processes

Grant number: 21/08325-2
Support Opportunities:Regular Research Grants
Duration: January 01, 2022 - December 31, 2024
Field of knowledge:Physical Sciences and Mathematics - Computer Science - Computational Mathematics
Convênio/Acordo: Research Foundation - Flanders (FWO)
Principal Investigator:Odemir Martinez Bruno
Grantee:Odemir Martinez Bruno
Principal researcher abroad: Jan Marcel Baetens
Institution abroad: Ghent University (UGent), Belgium
Principal researcher abroad: Luis Enrique Correa da Rocha
Institution abroad: Ghent University (UGent), Belgium
Host Institution: Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Associated scholarship(s):23/07241-5 - Combining network-automata and neural networks for data analysis, BP.PD

Abstract

Increasing computational power allows for the description and prediction of natural processes by modelling its smallest-scale interactions, recreating natural phenomena in a bottom-up fashion. Two classes of such approaches, which are especially pertinent for modelling spatio-temporal processes, are cellular automata (CAs) and their topological extension, network automata (NAs). The simplest types of CAs and NAs are well studied, but for these models to acquire the status of a strong scientific paradigm, they must allow for simple model extensions, whilst at the same time remaining methodologically robust. We will extend these computational models by introducing "spatial heterogeneity", which includes "rule heterogeneity" and "topological heterogeneity". The former translates to extending the model in such a way that the set of rules determining the microscopic dynamics, and therefore the emergent process, must no longer be the same on every spatially distinct region. The latter, which is exclusive to NAs, translates to allowing different types of connections between nodes. In both cases, a mathematical framework for these heterogeneities as well as a methodological enquiry into their effect on model stability, quantified by discrete extensions of the Lyapunov exponent, are at the core of this proposal. In a final stage, we will mobilize these models and the newly developed analytical techniques in two applications: epidemiology and opinion dynamics. (AU)

Articles published in Agência FAPESP Newsletter about the research grant:
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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
VALLE, JOAO; MACHICAO, JEANETH; BRUNO, ODEMIR M.. Chaotical PRNG based on composition of logistic and tent maps using deep-zoom. CHAOS SOLITONS & FRACTALS, v. 161, p. 10-pg., . (21/07377-9, 21/08325-2, 18/22214-6, 22/01935-2, 20/03514-9)
SCABINI, LEONARDO F. S.; BRUNO, ODEMIR M.. Structure and performance of fully connected neural networks: Emerging complex network properties. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 615, p. 17-pg., . (21/08325-2, 19/07811-0)
SCABINI, LEONARDO; ZIELINSKI, KALLIL M.; RIBAS, LUCAS C.; GONCALVES, WESLEY N.; DE BAETS, BERNARD; BRUNO, ODEMIR M.. RADAM: Texture recognition through randomized aggregated encoding of deep activation maps. PATTERN RECOGNITION, v. 143, p. 13-pg., . (22/03668-1, 21/09163-6, 18/22214-6, 21/07289-2, 21/08325-2, 19/07811-0)

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