2 papers
cond-mat.dis-nn2025
Exact Replica Symmetric solution for transverse field Hopfield model under finite Trotter size
Koki Okajima, Yoshiyuki Kabashima
We analyze the quantum Hopfield model in which an extensive number of patterns are embedded in the presence of a uniform transverse field. This analysis employs the replica method…
math.OC2025
Asymptotic Dynamics of Alternating Minimization for Bilinear Regression
Koki Okajima, Takashi Takahashi
This study investigates the dynamics of alternating minimization applied to a bilinear regression task with normally distributed covariates, under the asymptotic system size limit…