6 papers
Hybrid principal component analysis in multivariate allometric regression
Koji Tsukuda, Shun Matsuura
In biological data from allometry studies, the largest eigenvalue is typically dominant, and the gaps between minor eigenvalues are often narrow. Such proximity among small minor e…
Robust -Estimation of Scatter Matrices via Precision Structure Shrinkage
Soma Nikai, Yuichi Goto, Koji Tsukuda
Maronna's and Tyler's -estimators are among the most widely used robust estimators for scatter matrices. However, when the dimension of observations is relatively high, their pe…
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…
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…
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…
Spectral clustering algorithm for the allometric extension model
Kohei Kawamoto, Yuichi Goto, Koji Tsukuda
The spectral clustering algorithm is often used as a binary clustering method for unclassified data by applying the principal component analysis. To study theoretical properties of…