文献の詳細
| 論文の言語 | 英語 |
|---|---|
| 著者 | Masakazu Iwamura, Shinichiro Omachi, and Hirotomo Aso |
| 論文名 | Estimation of True Mahalanobis Distance from Eigenvectors of Sample Covariance Matrix |
| 論文誌名 | Systems and Computers in Japan |
| Vol. | 35 |
| No. | 9 |
| ページ | pp.30-38 |
| 出版社 | John Wiley & Sons, Inc. |
| 査読の有無 | 無 |
| 年月 | 2004年8月 |
| 要約 | In statistical pattern recognition, the Bayesian decision theory gives a decision to minimize the expected probability of misclassification as long as the true distributions are given. However, in most practical situations, the true distributions are unknown, and the parameters of the distributions are usually estimated from training sample vectors. It is well-known that estimated parameters contain estimation errors when sample size is small, and the errors cause bad influence on recognition performance. Among the estimation errors of parameters, the estimation errors of eigenvectors have not been considered enough. In this paper, we present a method to estimate the true Mahalanobis distance from the sample eigenvectors (the eigenvectors of sample covariance matrix) by considering the estimation errors of eigenvectors. Recognition experiments show that the true Mahalanobis distance can be estimated, and better recognition accuracy is achieved by applying the proposed method without many training samples and any hyper-parameters. |
- 注記
PDF file is available at http://www3.interscience.wiley.com/cgi-bin/jissue/109076289. - BibTeX用エントリー
@Article{Iwamura2004, author = {Masakazu Iwamura and Shinichiro Omachi and Hirotomo Aso}, title = {Estimation of True Mahalanobis Distance from Eigenvectors of Sample Covariance Matrix}, journal = {Systems and Computers in Japan}, year = 2004, month = aug, volume = {35}, number = {9}, pages = {30--38}, publisher = {John Wiley \& Sons, Inc.} }