| Presentation | 2011-03-29 Fast Convergence Rate of Multiple Kernel Learning with Elastic-Net Regularization Taiji SUZUKI, Ryota TOMIOKA, Masashi SUGIYAMA, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We investigate the learning rate of multiple kernel leaning (MKL) with elastic-net regularization, which consists of an l_1-regularizer for inducing the sparsity and an l_2-regularizer for controlling the smoothness. We focus on a sparse setting where the total number of kernels is large but the number of non-zero components of the ground truth is relatively small, and prove that elastic-net MKL achieves the minimax learning rate on the l_2-mixed-norm ball. Our bound is sharper than the convergence rates ever shown, and has a property that the smoother the truth is, the faster the convergence rate is. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Multiple Kernel Learning / Fast Convergence Rate / Sparse Learning / Elastic-net |
| Paper # | IBISML2010-126 |
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| Conference Information | |
| Committee | IBISML |
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| Conference Date | 2011/3/21(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| 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) | Fast Convergence Rate of Multiple Kernel Learning with Elastic-Net Regularization |
| Sub Title (in English) | |
| Keyword(1) | Multiple Kernel Learning |
| Keyword(2) | Fast Convergence Rate |
| Keyword(3) | Sparse Learning |
| Keyword(4) | Elastic-net |
| 1st Author's Name | Taiji SUZUKI |
| 1st Author's Affiliation | Department of Mathematical Informatics, The University of Tokyo() |
| 2nd Author's Name | Ryota TOMIOKA |
| 2nd Author's Affiliation | Department of Mathematical Informatics, The University of Tokyo |
| 3rd Author's Name | Masashi SUGIYAMA |
| 3rd Author's Affiliation | Department of Computer Science, Tokyo Institute of Technology |
| Date | 2011-03-29 |
| Paper # | IBISML2010-126 |
| Volume (vol) | vol.110 |
| Number (no) | 476 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |