Algebraic Identifiability of Gaussian Mixtures

DOI10.1093/imrn/rnx090zbMath1423.14284arXiv1612.01129OpenAlexW3099061295MaRDI QIDQ4619469

Kristian Ranestad, Carlos Améndola, Bernd Sturmfels

Publication date: 6 February 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.01129

zbMATH Keywords

Gaussian mixturesidentifiabilitysecant varieties

Mathematics Subject Classification ID

Computational aspects of algebraic surfaces (14Q10) Rational and unirational varieties (14M20)

Related Items (11)

Autocovariance varieties of moving average random fields ⋮ From non-defectivity to identifiability ⋮ Identifying the number of components in Gaussian mixture models using numerical algebraic geometry ⋮ The multidimensional truncated moment problem: Gaussian and log-normal mixtures, their Carathéodory numbers, and set of atoms ⋮ VARIETIES OF SIGNATURE TENSORS ⋮ Discrete Gaussian Distributions via Theta Functions ⋮ Book review of: S. Sullivant, Algebraic statistics ⋮ Moment identifiability of homoscedastic Gaussian mixtures ⋮ On the Terracini locus of projective varieties ⋮ Moment Ideals of Local Dirac Mixtures ⋮ Moment varieties of measures on polytopes

Uses Software

• Macaulay2

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