5 citations · 14 across the 20 of their papers we have counts for
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At least seven modes in a heteroscedastic three-component bivariate Gaussian mixture
Yutaro Kabata, Hirotaka Matsumoto, Akifumi Okuno
A Gaussian mixture density can have more modes than components. It has been conjectured that the maximum number of modes of a -variate -component Gaussian mixture density is…
On Mixtures of Three Homoscedastic Gaussian Densities: An Unconditional Sharper Bound on the Number of Modes
Akifumi Okuno, Yutaro Kabata
It is known that a mixture of three homoscedastic multivariate Gaussian densities whose centers form an equilateral triangle can have four modes, owing to the emergence of a ``ghos…
Algebraic Approach for Orthomax Rotations
Ryoya Fukasaku, Michio Yamamoto, Yutaro Kabata +2
In exploratory factor analysis, rotation techniques are employed to derive interpretable factor loading matrices. Factor rotations deal with equality-constrained optimization probl…
Singularities in bivariate normal mixtures
Yutaro Kabata, Hirotaka Matsumoto, Seiichi Uchida +1
We investigate mappings where are bivariate normal densities from the perspective of singularity theory of mappi…
Algebraic approach to maximum likelihood factor analysis
Ryoya Fukasaku, Kei Hirose, Yutaro Kabata +1
In exploratory factor analysis, model parameters are usually estimated by maximum likelihood method. The maximum likelihood estimate is obtained by solving a complicated multivaria…