Title: Estimation of Single-Gaussian and Gaussian mixture models for pattern recognition
Authors: Vaněk, Jan
Machlica, Lukáš
Psutka, Josef
Citation: VANÄšK, Jan; MACHLICA, Lukáš; PSUTKA, Josef. Estimation of Single-Gaussian and Gaussian mixture models for pattern recognition. In: Progress in pattern recognition, image analysis, computer vision, and applications. Berlin: Springer, 2013, p. 49-56. (Lectures notes in computer science; 8258). ISBN 978-3-642-41821-1.
Issue Date: 2013
Publisher: Springer
Document type: článek
article
URI: http://www.kky.zcu.cz/cs/publications/JanVanek_2013_Estimationof
http://hdl.handle.net/11025/17160
ISBN: 978-3-642-41821-1
Keywords: odhad mĂ­ry pravdÄ›podobnosti;smÄ›si GaussovskĂ˝ch modelĹŻ;Kullback- Leiblerova divergence;odchylka;měřítko
Keywords in different language: maximum likelihood estimation;Gaussian mixture models;Kullback- Leibler divergence;variance;scaling
Abstract in different language: Single-Gaussian and Gaussian-Mixture Models are utilized in various pattern recognition tasks. The model parameters are estimated usually via Maximum Likelihood Estimation (MLE) with respect to available training data. However, if only small amount of training data is available, the resulting model will not generalize well. Loosely speaking, classification performance given an unseen test set may be poor. In this paper, we propose a novel estimation technique of the model variances. Once the variances were estimated using MLE, they are multiplied by a scaling factor, which reflects the amount of uncertainty present in the limited sample set. The optimal value of the scaling factor is based on the Kullback-Leibler criterion and on the assumption that the training and test sets are sampled from the same source distribution. In addition, in the case of GMM, the proper number of components can be determined.
Rights: Â© Jan VanÄ›k - Lukáš Machlica - Josef Psutka
Appears in Collections:Články / Articles (KIV)
Články / Articles (KKY)

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