4 problems

Consider $k$-mixtures of the Gaussian, gamma, and inverse Gaussian distributions, and let $d$ denote the number of moments used. Rational identifiability means that, for generic sa…

Let $\mathcal{M}^\mathrm{IG}_d$ and $\mathcal{M}^{\Gamma}_d$ denote the moment varieties associated with the inverse Gaussian and gamma distributions, respectively. For $k\geq 2$,…

Gaussian moment identifiability conjecture. For all $m,n,d\in\mathbb{N}$ with $n\geq 2$ and $d\geq 5$, $\operatorname{GM}_{d}(\mathbb{C}^n)$ is $m$-identifiable whenever

Identifiability conjecture. The mixture model of $k$ univariate Gaussians is algebraically identifiable by the moments of order $\leq 3k-1$, and the degree of this identifiability…