| Presentation | 2012-01-26 Averaging Over the Compact Stiefel Manifold Tetsuya KANEKO, Toshihisa TANAKA, Simone FIORI, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | It is useful to exploit an empirical mean from a dataset to smooth-out data and to alleviate measurement errors and random fluctuations. In this paper, three different averaging algorithms on the compact Stiefel manifold are constructed. These methods are operations exploiting the relationship between either a manifold and its tangent space or a Lie group and its Lie algebra. Comparison of convergence between constructed methods and examination of computational burden due to the difference of calculations are performed by numerical experiments. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Stiefel manifold / Averaging on matrix manifold / Matrix retraction / Matrix lifting |
| Paper # | SIP2011-91,RCS2011-280 |
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| Conference Information | |
| Committee | RCS |
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| Conference Date | 2012/1/19(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Radio Communication Systems (RCS) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Averaging Over the Compact Stiefel Manifold |
| Sub Title (in English) | |
| Keyword(1) | Stiefel manifold |
| Keyword(2) | Averaging on matrix manifold |
| Keyword(3) | Matrix retraction |
| Keyword(4) | Matrix lifting |
| 1st Author's Name | Tetsuya KANEKO |
| 1st Author's Affiliation | Dept. of Electrical and Electronic Engineering Tokyo Univ. of Agriculture and Technology() |
| 2nd Author's Name | Toshihisa TANAKA |
| 2nd Author's Affiliation | Dept. of Electrical and Electronic Engineering Tokyo Univ. of Agriculture and Technology |
| 3rd Author's Name | Simone FIORI |
| 3rd Author's Affiliation | Dip. di Ingegneria dell'Informazione Universita Politecnica delle Marche, |
| Date | 2012-01-26 |
| Paper # | SIP2011-91,RCS2011-280 |
| Volume (vol) | vol.111 |
| Number (no) | 404 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |