| Presentation | 1998/6/19 A New Effective Quadratic Discriminant Function on Multi Dimensions Mitsuru SAKAI, Masaaki YONEDA, Hiroyuki HASE, Hiroshi MARUYAMA, Michiko NAOE, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We propose a new quadratic discriminant function. Fisrt, we show that the eigenvalues of a covariance matrix obtained from samples are biased. Then, we describe how to rectify them and how to use the rectified eigenvalues and discuss why they work well. We derive simultaneous linear equations to calculate approximates of the rectified eigenvalues in a multi-dimensional normal case by using perturbation theory. Finally, we show by Monte Carlo method that our disctiminant function works effectively in eight-dimentional normal cases especially in the case of a small sample size. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | training sample size / covariance matrix / bias of eigenvalue / normal distribution / quadratic discriminant function / perturbation theory |
| Paper # | PRMU98-43 |
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| Conference Information | |
| Committee | PRMU |
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| Conference Date | 1998/6/19(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) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A New Effective Quadratic Discriminant Function on Multi Dimensions |
| Sub Title (in English) | |
| Keyword(1) | training sample size |
| Keyword(2) | covariance matrix |
| Keyword(3) | bias of eigenvalue |
| Keyword(4) | normal distribution |
| Keyword(5) | quadratic discriminant function |
| Keyword(6) | perturbation theory |
| 1st Author's Name | Mitsuru SAKAI |
| 1st Author's Affiliation | Faculty of Engineering, Toyama University() |
| 2nd Author's Name | Masaaki YONEDA |
| 2nd Author's Affiliation | Faculty of Engineering, Toyama University |
| 3rd Author's Name | Hiroyuki HASE |
| 3rd Author's Affiliation | Faculty of Engineering, Toyama University |
| 4th Author's Name | Hiroshi MARUYAMA |
| 4th Author's Affiliation | Faculty of Engineering, Toyama University |
| 5th Author's Name | Michiko NAOE |
| 5th Author's Affiliation | Tateyama System Laboratory Co., Ltd. |
| Date | 1998/6/19 |
| Paper # | PRMU98-43 |
| Volume (vol) | vol.98 |
| Number (no) | 127 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |