| Presentation | 2003/2/14 Robust Estimation of Distribution by Shrinkage Technique Masakazu IWAMURA, Shinichiro OMACHI, Hirotomo ASO, |
|---|---|
| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Most pattern recognition applications require the eigenvalues and eigenvectors of the covariance matrix. It is well known that when the number of training samples is small. the eigenvalues of the covariance matrix contains bias, and the bias degrades recognition performance. There are some methods which ignore the small eigenvalues, or acquire better estimates of the covariance matrix by correcting the eigenvalues. Though all of these methods cope with the eigenvalues obtained after eigen decomposition, eigen decomposition seems to cause the biases of the eigenvalues. Therefore, it is worth trying to devise a method which avoids bias of eigenvalues. In this paper, it is confirmed that biases of the eigenvalues appear after eigen decomposition by experiments. Then a method of shrinking the covariance matrix befor eigen decomposition for avoiding bias of the eigenvalues are proposed. The ability of the proposed method of estimating the ture distribution more precisely than using the sample covariance matrix and of improving recognition performance is confirmed by the recognition experiments. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | eigen decomposition / bias of eigenvalue / shrinkage of dimensionality |
| Paper # | PRMU2002-216 |
| Date of Issue |
| Conference Information | |
| Committee | PRMU |
|---|---|
| Conference Date | 2003/2/14(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
| Secretary | |
| Assistant | |
| Paper Information | |
| Registration To | Pattern Recognition and Media Understanding (PRMU) |
|---|---|
| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Robust Estimation of Distribution by Shrinkage Technique |
| Sub Title (in English) | |
| Keyword(1) | eigen decomposition |
| Keyword(2) | bias of eigenvalue |
| Keyword(3) | shrinkage of dimensionality |
| 1st Author's Name | Masakazu IWAMURA |
| 1st Author's Affiliation | Graduate School of Engineering, Tokyo University() |
| 2nd Author's Name | Shinichiro OMACHI |
| 2nd Author's Affiliation | Graduate School of Engineering, Tokyo University |
| 3rd Author's Name | Hirotomo ASO |
| 3rd Author's Affiliation | Graduate School of Engineering, Tokyo University |
| Date | 2003/2/14 |
| Paper # | PRMU2002-216 |
| Volume (vol) | vol.102 |
| Number (no) | 652 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |