An application of classical invariant theory to identifiability in nonparametric mixtures

Ryan Elmore; Peter Hall; Amnon Neeman

doi:10.5802/aif.2087

An application of classical invariant theory to identifiability in nonparametric mixtures

Ryan Elmore^*, Peter Hall, Amnon Neeman

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

22 Citations (Scopus)

Abstract

It is known that the identifiability of multivariate mixtures reduces to a question in algebraic geometry. We solve the question by studying certain generators in the ring of polynomials in vector variables, invariant under the action of the symmetric group.

Original language	English
Pages (from-to)	1-28+V+IX
Journal	Annales de l'Institut Fourier
Volume	55
Issue number	1
DOIs	https://doi.org/10.5802/aif.2087
Publication status	Published - 2005

Access to Document

10.5802/aif.2087

Cite this

@article{16ddcc8c87f6484db18233aba1072293,

title = "An application of classical invariant theory to identifiability in nonparametric mixtures",

abstract = "It is known that the identifiability of multivariate mixtures reduces to a question in algebraic geometry. We solve the question by studying certain generators in the ring of polynomials in vector variables, invariant under the action of the symmetric group.",

keywords = "Birational, Invariant, Mixture model",

author = "Ryan Elmore and Peter Hall and Amnon Neeman",

year = "2005",

doi = "10.5802/aif.2087",

language = "English",

volume = "55",

pages = "1--28+V+IX",

journal = "Annales de l'Institut Fourier",

issn = "0373-0956",

publisher = "Association des Annales de l'Institut Fourier",

number = "1",

}

TY - JOUR

T1 - An application of classical invariant theory to identifiability in nonparametric mixtures

AU - Elmore, Ryan

AU - Hall, Peter

AU - Neeman, Amnon

PY - 2005

Y1 - 2005

N2 - It is known that the identifiability of multivariate mixtures reduces to a question in algebraic geometry. We solve the question by studying certain generators in the ring of polynomials in vector variables, invariant under the action of the symmetric group.

AB - It is known that the identifiability of multivariate mixtures reduces to a question in algebraic geometry. We solve the question by studying certain generators in the ring of polynomials in vector variables, invariant under the action of the symmetric group.

KW - Birational

KW - Invariant

KW - Mixture model

UR - https://www.scopus.com/pages/publications/33645612877

U2 - 10.5802/aif.2087

DO - 10.5802/aif.2087

M3 - Article

SN - 0373-0956

VL - 55

SP - 1-28+V+IX

JO - Annales de l'Institut Fourier

JF - Annales de l'Institut Fourier

IS - 1

ER -

An application of classical invariant theory to identifiability in nonparametric mixtures

Abstract

Access to Document

Other files and links

Fingerprint

Cite this