| Presentation | 2013-03-14 Correction Term of Fisher Discriminant Analysis Based on Normal Distribution Tatsuya YOKOTA, Toru WAKAHARA, Hitoshi SAKANO, Yukihiko YAMASHITA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Fisher's linear discriminant is one of the most basic feature extraction methods for pattern recognition. However, even if the distributions of patters is normal but if the correlation matrices of patterns are not the same among categories, it does not provide the best features to classify the patterns. In this paper, we assume that the distributions of patterns are normal and provide two criteria, the one using the distribution of the rival categories as weight and the other based on the Chernoff distance of distributions. We derive corrections terms for the generalized eigenvalue problem for the case of one feature extraction in two class classification. Furthermore, we evaluate its performance by using 2-dimensional normal distributions and MNIST database. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Fisher's linear discriminant analysis / correction term / Chernoff distance / Bhattacharyya distance |
| Paper # | PRMU2012-185 |
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| Conference Information | |
| Committee | PRMU |
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| Conference Date | 2013/3/7(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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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) | Correction Term of Fisher Discriminant Analysis Based on Normal Distribution |
| Sub Title (in English) | |
| Keyword(1) | Fisher's linear discriminant analysis |
| Keyword(2) | correction term |
| Keyword(3) | Chernoff distance |
| Keyword(4) | Bhattacharyya distance |
| 1st Author's Name | Tatsuya YOKOTA |
| 1st Author's Affiliation | Graduate School of Science and Engineering, Tokyo Institute of Technology() |
| 2nd Author's Name | Toru WAKAHARA |
| 2nd Author's Affiliation | Faculty of Computer and Information Sciences, Hosei University |
| 3rd Author's Name | Hitoshi SAKANO |
| 3rd Author's Affiliation | NTT Communication Science Laboratories, NTT Corporation |
| 4th Author's Name | Yukihiko YAMASHITA |
| 4th Author's Affiliation | Graduate School of Science and Engineering, Tokyo Institute of Technology |
| Date | 2013-03-14 |
| Paper # | PRMU2012-185 |
| Volume (vol) | vol.112 |
| Number (no) | 495 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |