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Reports (Research Report) Year : 2008

Slope heuristics for variable selection and clustering via Gaussian mixtures

Cathy Maugis
Bertrand Michel

Abstract

Specific Gaussian mixtures are considered to solve simultaneously variable selection and clustering problems. A penalized likelihood criterion is proposed in Maugis and Michel (2008) to choose the number of mixture components and the relevant variable subset. This criterion is depending on unknown constants to be approximated in practical situations. A "slope heuristics" method is proposed and experimented to deal with this practical problem in this context. Numerical experiments on simulated datasets, a curve clustering example and a genomics application highlight the interest of the proposed heuristics.
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Dates and versions

inria-00284620 , version 1 (03-06-2008)
inria-00284620 , version 2 (04-06-2008)

Identifiers

  • HAL Id : inria-00284620 , version 2

Cite

Cathy Maugis, Bertrand Michel. Slope heuristics for variable selection and clustering via Gaussian mixtures. [Research Report] RR-6550, INRIA. 2008. ⟨inria-00284620v2⟩
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