Title: | Estimation of Single-Gaussian and Gaussian mixture models for pattern recognition |
Authors: | Vaněk, Jan Machlica, Lukáš Psutka, Josef |
Citation: | VANĚK, Jan; MACHLICA, Lukᚡ 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 míry pravděpodobnosti;směsi Gaussovských modelĹů;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: | © Jan Vaněk - Lukáš Machlica - Josef V. Psutka - Josef Psutka |
Appears in Collections: | Články / Articles (KIV) Články / Articles (KKY) |
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