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math.ST2026
On spectral clustering under non-isotropic Gaussian mixture models
Kohei Kawamoto, Yuichi Goto, Koji Tsukuda
We evaluate the misclustering probability of a spectral clustering algorithm under a Gaussian mixture model with a general covariance structure. The algorithm partitions the data i…
math.ST2025
Equality between two general ridge estimators and equivalence of their residual sums of squares
Hirai Mukasa, Koji Tsukuda
General ridge estimators are typical linear estimators in a general linear model. The class of them includes some shrinkage estimators in addition to classical linear unbiased esti…
math.ST2024
Estimators for multivariate allometric regression model
Koji Tsukuda, Shun Matsuura
In a regression model with multiple response variables and multiple explanatory variables, if the difference of the mean vectors of the response variables for different values of e…