Moment identifiability of homoscedastic Gaussian mixtures

DOI10.1007/s10208-020-09469-6zbMath1469.62419arXiv1905.05141OpenAlexW3039099705MaRDI QIDQ2040453

Carlos Améndola, Kristian Ranestad, Daniele Agostini

Publication date: 14 July 2021

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.05141

zbMATH Keywords

normal distributionmethod of momentsmixture modelsecant varietiesalgebraic statistics

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Point estimation (62F10) Computational aspects of higher-dimensional varieties (14Q15) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25) Algebraic statistics (62R01) Secant varieties, tensor rank, varieties of sums of powers (14N07)

Related Items

Algebraic compressed sensing

Uses Software

• Macaulay2

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Equations for secant varieties of Veronese and other varieties
• Moment matrices: Applications in mixtures
• On the Alexander-Hirschowitz theorem
• Tensor decompositions for learning latent variable models
• Moment Varieties of Gaussian Mixtures
• Learning mixtures of spherical gaussians
• Algebraic Statistics
• Algebraic Identifiability of Gaussian Mixtures
• Discrete Gaussian Distributions via Theta Functions
• Moment Ideals of Local Dirac Mixtures
• Multivariate Normal Mixtures: A Fast Consistent Method of Moments
• Prony’s Method,Z-Transforms, and Padé Approximation