10 citations · 15 across the 8 of their papers we have counts for
8 papers
An information-geometric approach for network decomposition using the q-state Potts model
Alexandre L. M. Levada
Complex networks are critical in many scientific, technological, and societal contexts due to their ability to represent and analyze intricate systems with interdependent component…
The geodesic dispersion phenomenon in random fields dynamics
Alexandre L. M. Levada
Random fields are ubiquitous mathematical structures in physics, with applications ranging from thermodynamics and statistical physics to quantum field theory and cosmology. Recent…
On the Kullback-Leibler divergence between pairwise isotropic Gaussian-Markov random fields
Alexandre L. M. Levada
The Kullback-Leibler divergence or relative entropy is an information-theoretic measure between statistical models that play an important role in measuring a distance between rando…
The Curvature Effect in Gaussian Random Fields
Alexandre L. M. Levada
Random field models are mathematical structures used in the study of stochastic complex systems. In this paper, we compute the shape operator of Gaussian random field manifolds usi…
Geodesic curves in Gaussian random field manifolds
Alexandre L. M. Levada
Random fields are mathematical structures used to model the spatial interaction of random variables along time, with applications ranging from statistical physics and thermodynamic…
On the curvatures of Gaussian random field manifolds
Alexandre L. M. Levada
Information geometry is concerned with the application of differential geometry concepts in the study of the parametric spaces of statistical models. When the random variables are…