3 papers
cond-mat.dis-nn2026
Spectral criteria for generalization in unsupervised Hebbian nets
Elena Agliari, Paulo Duarte Mourão, Alberto Fachechi +1
We consider an unsupervised Hebbian network where the pairwise interactions among neurons are built on noisy realizations of hidden ground-truth vectors. Unlike classical Hopfield…
cond-mat.dis-nn2025
Multi-channel pattern reconstruction through -directional associative memories
Elena Agliari, Andrea Alessandrelli, Paulo Duarte Mourao +1
We consider -directional associative memories, composed of Hopfield networks, displaying imitative Hebbian intra-network interactions and anti-imitative Hebbian inter-networ…
math-ph2021
Laughlin states change under large geometry deformations and imaginary time Hamiltonian dynamics
Gabriel Matos, Bruno Mera, José M. Mourão +2
We study the change of the Laughlin states under large deformations of the geometry of the sphere and the plane, associated with Mabuchi geodesics on the space of metrics with Hami…