| Presentation | 2009-10-23 Small hypersphere fitting and Karcher mean for hyperspherical points Jun FUJIKI, Shotaro AKAHO, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | To measure the similarity between two high dimensional vector data, correlation coefficient is often used instead of Euclidean distance, that is, high dimensional vectors are normalized as hyperspherical points. In this paper, the methods of fitting a low dimensional small hypersphere to high dimensional data lying on unit hypersphere, which we previously proposed, can be applicable to the estimation of Karcher mean. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | hypersphere / fitting / least squares / sterographic projection / Euclideanization / Karcher mean |
| Paper # | PRMU2009-82 |
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| Conference Information | |
| Committee | PRMU |
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| Conference Date | 2009/10/15(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) | Small hypersphere fitting and Karcher mean for hyperspherical points |
| Sub Title (in English) | |
| Keyword(1) | hypersphere |
| Keyword(2) | fitting |
| Keyword(3) | least squares |
| Keyword(4) | sterographic projection |
| Keyword(5) | Euclideanization |
| Keyword(6) | Karcher mean |
| 1st Author's Name | Jun FUJIKI |
| 1st Author's Affiliation | National Institute of Advanced Industrial Science and Technology() |
| 2nd Author's Name | Shotaro AKAHO |
| 2nd Author's Affiliation | National Institute of Advanced Industrial Science and Technology |
| Date | 2009-10-23 |
| Paper # | PRMU2009-82 |
| Volume (vol) | vol.109 |
| Number (no) | 249 |
| Page | pp.pp.- |
| #Pages | 6 |
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