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20212026
most citedStationary Bootstrap: A Refined Error Estimation for Equilibrium Time Series

2 citations · 4 across the 5 of their papers we have counts for

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5 papers

cond-mat.dis-nn2026

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…

cond-mat.dis-nn2025★ 1 cited

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…

math.ST2024★ 1 cited

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…

math.OC2024

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…

cond-mat.stat-mech2021★ 2 cited

Stationary Bootstrap: A Refined Error Estimation for Equilibrium Time Series

Yoshihiko Nishikawa, Jun Takahashi, Takashi Takahashi

In Markov-chain Monte Carlo simulations, estimating statistical errors or confidence intervals of numerically obtained values is an essential task. In this paper, we review several…