| Presentation | 2013-02-01 Mixed Retraction/Lifting Maps for Averaging Algorithms on the Compact Stiefel Manifold Tetsuya KANEKO, Toshihisa TANAKA, Simone FIORI, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The present research work proposed a new fast fixed-point averaging algorithm on the compact Stiefel manifold based on a mixed retraction/lifting pair A numerical comparison between fixed-point algorithms based on the proposed non-associated retraction/lifting map pair and two associated retraction/lifting pairs confirms that the averaging algorithm based on a combination of mixed maps is computationally less demanding than the same averaging algorithm based on any of the associated retraction/lifting pairs |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Chisim mean / Kolmogoroff- Nagumo mean / Averaging on matrix manifold / Matrix retraction/lifting / Stiefel manifold |
| Paper # | SIP2012-106,RCS2012-263 |
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| Conference Information | |
| Committee | SIP |
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| Conference Date | 2013/1/24(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Signal Processing (SIP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Mixed Retraction/Lifting Maps for Averaging Algorithms on the Compact Stiefel Manifold |
| Sub Title (in English) | |
| Keyword(1) | Chisim mean |
| Keyword(2) | Kolmogoroff- Nagumo mean |
| Keyword(3) | Averaging on matrix manifold |
| Keyword(4) | Matrix retraction/lifting |
| Keyword(5) | Stiefel manifold |
| 1st Author's Name | Tetsuya KANEKO |
| 1st Author's Affiliation | Department of Electrical and Electronic Engineering Tokyo University of Agriculture and Technology() |
| 2nd Author's Name | Toshihisa TANAKA |
| 2nd Author's Affiliation | Department of Electrical and Electronic Engineering Tokyo University of Agriculture and Technology |
| 3rd Author's Name | Simone FIORI |
| 3rd Author's Affiliation | Dip di Ingegneria dell'Informazione, University Politecnica delle Marche |
| Date | 2013-02-01 |
| Paper # | SIP2012-106,RCS2012-263 |
| Volume (vol) | vol.112 |
| Number (no) | 423 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |