Reconstruction of complex networks from data

• Grant number: 18/10349-4
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: October 01, 2018
• End date: June 30, 2022
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Tiago Pereira da Silva
• Grantee: Edmilson Roque dos Santos
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry, AP.CEPID

Abstract

This project addresses the problem of predicting the occurrence of sudden changes of behaviour in complex systems from data. Such abrupt changes in behaviour are known as critical transitions and are observed in Ecology, Neuroscience, Medicine, and Technology. A recent breakthrough elucidates how the network interaction affects the emergent properties and opens the possibility to predict critical transitions by reconstructing the network dynamics from data. Therefore, in this project we aim at the reconstruction of network dynamics from data. Thus, from a single multivariate time-series we can reverse engineer the problem and obtain a model from data. Thereby, we can predict critical transitions from data which would be impossible otherwise. (AU)

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)

ELDERING, JAAP; LAMB, JEROEN S. W.; PEREIRA, TIAGO; DOS SANTOS, EDMILSON ROQUE. Chimera states through invariant manifold theory. Nonlinearity, v. 34, n. 8, p. 5344-5374, AUG 2021. (18/10349-4, 15/25947-6, 13/07375-0)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

SANTOS, Edmilson Roque dos. Reconstruction of sparse network dynamics from data. 2024. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.