Hirotaka Matsumoto

collaborators

2 papers

math.ST2026

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 $d$ -variate $k$ -component Gaussian mixture density is…

math.ST2024

Singularities in bivariate normal mixtures

Yutaro Kabata, Hirotaka Matsumoto, Seiichi Uchida +1

We investigate mappings $F = (f_{1}, f_{2}) : R^{2} \to R^{2}$ where $f_{1}, f_{2}$ are bivariate normal densities from the perspective of singularity theory of mappi…