4 papers · 1 filter
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…