2 papers
cond-mat.dis-nn2026
The dimensionality of the Hopfield model
Cristopher Erazo, Santiago Acevedo, Alessandro Ingrosso
We use the Binary Intrinsic Dimension (BID), a geometrical measure designed for binary data, to analyze the Hopfield model, a paradigmatic spin system from statistical mechanics, m…
cond-mat.stat-mech2025
Family-Vicsek universality of the binary intrinsic dimension of nonequilibrium data
Roberto Verdel, Devendra Singh Bhakuni, Santiago Acevedo
The intrinsic dimension (ID) is a powerful tool to detect and quantify correlations from data. Recently, it has been successfully applied to study statistical and many-body systems…