On the number of components in a Gaussian mixture model

GJ McLachlan, S Rathnayake - Wiley Interdisciplinary Reviews …, 2014 - Wiley Online Library
… Over the years, a number of theoretical and simulation-based results have been published
… a finite mixture model. We very briefly consider here some of the theoretical results that have …

On the number of modes of a Gaussian mixture

MA Carreira-Perpinán, CKI Williams - International Conference on Scale …, 2003 - Springer
some GMs are the convolution of a delta mixture with a Gaussian kernel) and statistical
smoothing (since Gaussian … exist functions upon which Gaussian blurring results in occasional, …

Methods for merging Gaussian mixture components

C Hennig - Advances in data analysis and classification, 2010 - Springer
… MCLUST result is wrong in any sense and that there is any evidence for a Gaussian
mixture … I even presume that under some suitable conditions the best Gaussian mixture

Gaussian mixtures and their applications to signal processing

KN Plataniotis, D Hatzinakos - Advanced signal processing …, 2017 - taylorfrancis.com
… Then the framework is applied to two problems, and numerical results are presented. The
results … In this chapter we reviewed some of the issues related to the GM approach and its …

Some results on Gaussian mixtures

M Felgueiras, R Santos, JP Martins - AIP Conference Proceedings, 2014 - pubs.aip.org
Gaussian mixtures with independent components, whose parameters are numerically estimated.
A decomposition of a Gaussian mixture is … Besides, in this study Gaussian mixtures with …

A look at Gaussian mixture reduction algorithms

DF Crouse, P Willett, K Pattipati… - … on Information Fusion, 2011 - ieeexplore.ieee.org
… widely used metric for Gaussian mixture reduction, since (unlike some that might be more …
and COWA algorithms could result in the reduced Gaussian mixture being invalid. We have …

Rates of convergence for the Gaussian mixture sieve

CR Genovese, L Wasserman - The Annals of Statistics, 2000 - projecteuclid.org
… n for some δ > 0 in the case where the variances of the mixture components are bounded
below by a known constant. This result appears to depend strongly on the smoothness of the …

A robust EM clustering algorithm for Gaussian mixture models

MS Yang, CY Lai, CY Lin - Pattern Recognition, 2012 - Elsevier
… The results demonstrate the superiority and usefulness of our proposed … with some artificial
datasets and real datasets to demonstrate that this algorithm is effective in Gaussian mixture

Gaussian mixtures: entropy and geometric inequalities

A Eskenazis, P Nayar, T Tkocz - The Annals of Probability, 2018 - JSTOR
… In the consecutive subsections, we shall describe our main results on Gaussian mixtures. …
using some relevant Gaussian mixture representations. Denote by H1 the hyperplane (1,0,...,0) …

Mode-finding for mixtures of Gaussian distributions

MA Carreira-Perpinan - IEEE Transactions on Pattern Analysis …, 2000 - ieeexplore.ieee.org
… models result in a Gaussian mixture after some assumptions are made in order to obtain
tractable models (eg, Monte Carlo approximations to integrals, as in the generative topographic …