Fast adaptive algorithms for optimal feature extraction from Gaussian data
| Autor: | Hamid Abrishami Moghaddam, Youness Aliyari Ghassabeh, Frank Rudzicz |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Computer science
Gaussian Feature extraction 02 engineering and technology 01 natural sciences symbols.namesake Square root Discriminant function analysis Artificial Intelligence 0103 physical sciences 0202 electrical engineering electronic engineering information engineering 010306 general physics Sequence Adaptive algorithm business.industry Covariance matrix Pattern recognition Function (mathematics) Rate of convergence Signal Processing symbols 020201 artificial intelligence & image processing Computer Vision and Pattern Recognition Artificial intelligence business Algorithm Software |
| Zdroj: | Pattern Recognition Letters. 70:73-79 |
| ISSN: | 0167-8655 |
| DOI: | 10.1016/j.patrec.2015.11.021 |
| Popis: | Adaptive feature extraction from a sequence of Gaussian data is discussed.A fast adaptive algorithm for computing Σ - 1 / 2 is presented.A fast algorithm for optimal feature extraction from a Gaussian sequence is presented.The performance of the proposed algorithm is compared with previous algorithms. We present a new adaptive algorithm to accelerate optimal feature extraction from a sequence of multi-class Gaussian data in order to classify them based on the Bayes decision rule. The optimal Gaussian feature extraction, in the Bayes sense, involves estimation of the square root of the inverse of the covariance matrix, Σ - 1 / 2 . We use an appropriate cost function to find the optimal step size in each iteration, in order to accelerate the convergence rate of the previously proposed algorithm for adaptive estimation of Σ - 1 / 2 . The performance of the proposed accelerated algorithm is compared with other adaptive Σ - 1 / 2 algorithms. The proposed algorithm is tested for Gaussian feature extraction from three classes of three-dimensional Gaussian data. Simulation results confirm the effectiveness of the proposed algorithm for adaptive optimal feature extraction from a sequence of Gaussian data. |
| Databáze: | OpenAIRE |
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