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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★ 4 cited
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…