| Presentation | 1999/6/18 A Quadratic Discriminant Function Adopting Covariance Matrix with Doubly Rectified Eigenvalues Mitsuru SAKAI, Masaaki YONEDA, Hiroyuki HASE, Hiroshi MARUYAMA, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We propose a new covariance matrix of which eigenvalues are doubly rectifed. Previously, we showed that the rectified eigenvalues give better performance to a quadratic discriminant function. In this paper, we show that a blurred covariance matrix is to be estimated instead of the covariance matrix of the universe and how to estimate the blur. Our covariance matrix is obtained by two step rectifications. The first step is to rectify biases of sample eigenvalues and the second step to blur them. We derive the explicit form of the eigenvalues of the blurred covariance matrix in the two-dimensional normal case. Finally, we show by Monte Carlo methods that the discriminant function adopting our covaiance matrix works effectively in two-dimensional normal cases especially in the case of a small sample size. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | learning pattern size / covaiance matrix estimator / bias of sample eigenvalue / quadratic discriminant function / two-dimensional normal distribution |
| Paper # | PRMU99-30 |
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| Conference Information | |
| Committee | PRMU |
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| Conference Date | 1999/6/18(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
| Secretary | |
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| Paper Information | |
| Registration To | Pattern Recognition and Media Understanding (PRMU) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A Quadratic Discriminant Function Adopting Covariance Matrix with Doubly Rectified Eigenvalues |
| Sub Title (in English) | |
| Keyword(1) | learning pattern size |
| Keyword(2) | covaiance matrix estimator |
| Keyword(3) | bias of sample eigenvalue |
| Keyword(4) | quadratic discriminant function |
| Keyword(5) | two-dimensional normal distribution |
| 1st Author's Name | Mitsuru SAKAI |
| 1st Author's Affiliation | Fuculty of Engineering, Toyama University() |
| 2nd Author's Name | Masaaki YONEDA |
| 2nd Author's Affiliation | Fuculty of Engineering, Toyama University |
| 3rd Author's Name | Hiroyuki HASE |
| 3rd Author's Affiliation | Fuculty of Engineering, Toyama University |
| 4th Author's Name | Hiroshi MARUYAMA |
| 4th Author's Affiliation | Fuculty of Engineering, Toyama University |
| Date | 1999/6/18 |
| Paper # | PRMU99-30 |
| Volume (vol) | vol.99 |
| Number (no) | 119 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |