Probabilistic : learning vector quantization with various non-Gaussian density functions
- Robust soft learning vector quantization (RSLVQ) is a probabilistic approach of Learning vector quantization (LVQ) algorithm. Basically, the RSLVQ approach describes its functionality with respect to Gaussian mixture model and its cost function is defined in terms of likelihood ratio. Our thesis work involves an approach of modifying standard RSLVQ with non-Gaussian density functions like logistic, lognormal, and Cauchy (referred as PLVQ). In this approach, we derive new update rules for prototypes using gradient of cost function with respect to non-Gaussian density functions. We also derive new learning rules for the model parameters like s and s, by differentiating the cost function with respect to parameters. The main goal of the thesis is to compare the performance results of PLVQ model with Gaussian-RSLVQ model. Therefore, the performance of these classification models have been tested on the Iris and Seeds dataset. To visualize the results of the classification models in an adequate way, the Principal component analysis (PCA) technique has been used.
Author: | Supreetha Shivani Krishna Murthy |
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Advisor: | Thomas Villmann, Marika Kaden |
Document Type: | Master's Thesis |
Language: | English |
Year of Completion: | 2020 |
Granting Institution: | Hochschule Mittweida |
Release Date: | 2024/03/15 |
GND Keyword: | Vektorquantisierung |
Note: | Printexemplar Präsenzbestand |
Institutes: | Angewandte Computer‐ und Biowissenschaften |
DDC classes: | 621.3822 digitale Signalverarbeitung, Vektorquantisierung |
Open Access: | Innerhalb der Hochschule |
Licence (German): | Urheberrechtlich geschützt |