A non-iterative algorithm to estimate the modes of univariate mixtures with well separated components

dc.creatorPaul, Nicolas
dc.creatorFety, Luc
dc.creatorTerre, Michel
dc.date2006-12-07
dc.date.accessioned2026-07-07T07:34:59Z
dc.date.available2026-07-07T07:34:59Z
dc.descriptionThis paper deals with the estimation of the modes of an univariate mixture when the number of components is known and when the component density are well separated. We propose an algorithm based on the minimization of the "kp" criterion we introduced in a previous work. In this paper we show that the global minimum of this criterion can be reached with a linear least square minimization followed by a roots finding algorithm. This is a major advantage compared to classical iterative algorithms such as K-means or EM which suffer from the potential convergence to some local extrema of the cost function they use. Our algorithm performances are finally illustrated through simulations of a five components mixture.
dc.descriptionsubmitted to IEEE Signal Processing Letters
dc.identifierhttps://arxiv.org/abs/physics/0612073
dc.identifierhttp://arxiv.org/abs/physics/0612073
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119958
dc.subjectData Analysis, Statistics and Probability
dc.titleA non-iterative algorithm to estimate the modes of univariate mixtures with well separated components
dc.typetext

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