André Toom | University of the Incarnate World - Estados Unidos
Application of neural networks and random regression models for predict the breedi...
| Full text | |
| Author(s): |
Mendez-Bermudez, J. A.
;
Ferraz de Arruda, Guilherme
;
Rodrigues, Francisco A.
;
Moreno, Yamir
Total Authors: 4
|
| Document type: | Journal article |
| Source: | PHYSICAL REVIEW E; v. 96, n. 1, p. 8-pg., 2017-07-07. |
| Abstract | |
Multilayer networks are widespread in natural and manmade systems. Key properties of these networks are their spectral and eigenfunction characteristics, as they determine the critical properties of many dynamics occurring on top of them. Here, we numerically demonstrate that the normalized localization length beta of the eigenfunctions of multilayer random networks follows a simple scaling law given by beta = x*/(1 + x*), with x* = gamma (b(eff)(2)/L)(delta), delta similar to 1, and b(eff) being the effective bandwidth of the adjacency matrix of the network, whose size is L. The scaling law for beta, that we validate on real-world networks, might help to better understand criticality in multilayer networks and to predict the eigenfunction localization properties of them. (AU) | |
| FAPESP's process: | 11/50761-2 - Models and methods of e-Science for life and agricultural sciences |
| Grantee: | Roberto Marcondes Cesar Junior |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 13/26416-9 - Modelling of dynamical processes in complex networks |
| Grantee: | Francisco Aparecido Rodrigues |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 12/25219-2 - Modeling, analysis and simulation of dynamic process on complex networks |
| Grantee: | Guilherme Ferraz de Arruda |
| Support Opportunities: | Scholarships in Brazil - Doctorate |