12 citations · 18 across the 6 of their papers we have counts for
6 papers
Dynamical cavity method for continuous-time complex systems on sparse random graphs
Fernando L. Metz, Isaac Pérez Castillo
Dynamical mean-field theory (DMFT) reduces dense high-dimensional disordered dynamics to a self-consistent effective stochastic process. For sparse and heterogeneous networks, howe…
BBP transition and the leading eigenvector of the spiked Wigner model with inhomogeneous noise
Leonardo S. Ferreira, Fernando L. Metz
The spiked Wigner ensemble is a prototypical model for high-dimensional inference. We study the spectral properties of an inhomogeneous rank-one spiked Wigner model in which the va…
Zero-temperature dynamics of the spherical model with non-reciprocal interactions
Daniel A. Stariolo, Fernando L. Metz
We analytically solve the zero-temperature dynamics of the spherical model with non-reciprocal random interactions drawn from the real elliptic ensemble of random matrices, where a…
Index statistical properties of sparse random graphs
Fernando L. Metz, Daniel A. Stariolo
Using the replica method, we develop an analytical approach to compute the characteristic function for the probability that a large adjacency matr…
Period-two cycles in a feed-forward layered neural network model with symmetric sequence processing
F. L. Metz, W. K. Theumann
The effects of dominant sequential interactions are investigated in an exactly solvable feed-forward layered neural network model of binary units and patterns near saturation in wh…
Pattern reconstruction and sequence processing in feed-forward layered neural networks near saturation
F. L. Metz, W. K. Theumann
The dynamics and the stationary states for the competition between pattern reconstruction and asymmetric sequence processing are studied here in an exactly solvable feed-forward la…