| Presentation | 2012-11-08 Classes of translation-invariant kernels on compact groups Pierre CHICHE, Kenji FUKUMIZU, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In the context of reproducing kernel Hilbert space (RKHS) embeddings of probability measures, many classes of kernels, corresponding to specific properties of the RKHS, have been identified. The characterisations of these classes depend on the topological and algebraic properties of the set on which the kernel is defined. In this paper, we give detailed characterisations of these classes in the case where a kernel is defined on non-abelian compact groups. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Positive definite kernels / compact groups / harmonic analysis / reproducing kernel Hilbert spaces |
| Paper # | IBISML2012-90 |
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| Conference Information | |
| Committee | IBISML |
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| Conference Date | 2012/10/31(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Registration To | Information-Based Induction Sciences and Machine Learning (IBISML) |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Classes of translation-invariant kernels on compact groups |
| Sub Title (in English) | |
| Keyword(1) | Positive definite kernels |
| Keyword(2) | compact groups |
| Keyword(3) | harmonic analysis |
| Keyword(4) | reproducing kernel Hilbert spaces |
| 1st Author's Name | Pierre CHICHE |
| 1st Author's Affiliation | The Institute of Statistical Mathematics The Graduate University for Advanced Studies() |
| 2nd Author's Name | Kenji FUKUMIZU |
| 2nd Author's Affiliation | The Institute of Statistical Mathematics The Graduate University for Advanced Studies |
| Date | 2012-11-08 |
| Paper # | IBISML2012-90 |
| Volume (vol) | vol.112 |
| Number (no) | 279 |
| Page | pp.pp.- |
| #Pages | 6 |
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