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Soft Clustering for Nonparametric Probability Density Function Estimation

Ezequiel López-RubioContact Information, Juan Miguel Ortiz-de-Lazcano-LobatoContact Information, Domingo López-RodríguezContact Information and María del Carmen Vargas-González1

(1)  School of Computer Engineering, University of Málaga, Campus de Teatinos, s/n. 29071, Málaga, Spain
Abstract
We present a nonparametric probability density estimation model. The classical Parzen window approach builds a spherical Gaussian density around every input sample. Our method has a first stage where hard neighbourhoods are determined for every sample. Then soft clusters are considered to merge the information coming from several hard neighbourhoods. Our proposal estimates the local principal directions to yield a specific Gaussian mixture component for each soft cluster. This leads to outperform other proposals where local parameter selection is not allowed and/or there are no smoothing strategies, like the manifold Parzen windows.

Keywords  Probability density estimation - nonparametric modeling - soft clustering - Parzen windows


Contact Information Ezequiel López-Rubio
Email: ezeqlr@lcc.uma.es

Contact Information Juan Miguel Ortiz-de-Lazcano-Lobato
Email: jmortiz@lcc.uma.es

Contact Information Domingo López-Rodríguez
Email: dlopez@ctima.uma.es
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