| Presentation | 2005/3/23 Small hypersphere fitting to the sequence of hyperspherical points : Spherical Least Square Jun FUJIKI, Shotaro AKAHO, |
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| PDF Download Page | PDF download Page Link |
| 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 fitting a low dimensional small hypersphere to high dimensional data lying on unit hypersphere named spherical least square using Euclideanization by stereographic projection and sequential dimension reduction are proposed. We also evaluate the methods by synthesized data. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | spherical data / hypersphere / fitting / least square / sterographic projection / Euclideanization |
| Paper # | NC2004-217 |
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| Committee | NC |
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| Conference Date | 2005/3/23(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Neurocomputing (NC) |
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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 to the sequence of hyperspherical points : Spherical Least Square |
| Sub Title (in English) | |
| Keyword(1) | spherical data |
| Keyword(2) | hypersphere |
| Keyword(3) | fitting |
| Keyword(4) | least square |
| Keyword(5) | sterographic projection |
| Keyword(6) | Euclideanization |
| 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 | 2005/3/23 |
| Paper # | NC2004-217 |
| Volume (vol) | vol.104 |
| Number (no) | 760 |
| Page | pp.pp.- |
| #Pages | 6 |
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