4 papers
Analysis of the Hopfield Model Incorporating the Effects of Unlearning
Shuta Takeuchi, Takashi Takahashi, Yoshiyuki Kabashima
We analyze a variant of the Hopfield model that incorporates an unlearning mechanism based on spin correlations in the high-temperature regime. In the large system limit where exte…
Variational Gaussian Approximation in Replica Analysis of Parametric Models
Takashi Takahashi
We revisit the replica method for analyzing inference and learning in parametric models, considering situations where the data-generating distribution is unknown or analytically in…
Replica Analysis for Ensemble Techniques in Variable Selection
Takashi Takahashi
Variable selection is a problem of statistics that aims to find the subset of the -dimensional possible explanatory variables that are truly related to the generation process of…
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…