no. 1
An application of classical invariant theory to identifiability in nonparametric mixtures
Elmore, Ryan1; Hall, Peter; Neeman, Amnon
1 Australian National University, centre for Mathematics and its Applications, Mathematical Sciences Institute, John Dedman Building, Canberra ACT 0200 (AUSTRALIE)
Annales de l'Institut Fourier, Volume 55 (2005) no. 1, pp. 1-28.

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.

On sait que l'identifiabilité des mélanges multivariés se réduit à une question de géométrie algébrique. Nous résolvons cette question en étudiant des générateurs particuliers dans l'anneau des polynômes à variables vectorielles, invariants sous l'action du groupe symétrique.

DOI: 10.5802/aif.2087
Classification: 13A50, 62G07, 62H12
Keywords: Mixture model, birational, invariant
Mot clés : modèle de mélange, birationel, invariant
Elmore, Ryan 1; Hall, Peter ; Neeman, Amnon 

1 Australian National University, centre for Mathematics and its Applications, Mathematical Sciences Institute, John Dedman Building, Canberra ACT 0200 (AUSTRALIE) 
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Elmore, Ryan; Hall, Peter; Neeman, Amnon. An application of classical invariant theory to identifiability in nonparametric mixtures. Annales de l'Institut Fourier, Volume 55 (2005) no. 1, pp. 1-28. doi : 10.5802/aif.2087. http://archive.numdam.org/articles/10.5802/aif.2087/

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