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math.ST2026
Parametric generalized spectrum for heavy-tailed time series
Yuichi Goto, Gaspard Bernard
Recently, several spectra have emerged, designed to encapsulate the distributional characteristics of non-Gaussian stationary processes. This article introduces parametric families…
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.ST2023
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…