| Presentation | 2012/1/12 A study of feature space for curve fitting Jun FUJIKI, Shotaro AKAHO, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In order to fit a curve to points in a plane, we can apply the hypersurface fitting method to the points mapped to a high dimensional feature space. This is equivalent to the kernel minor component analysis, which solves the same eigenvalue problem as kernel principal component analysis and extracts the eigen vector corresponding to the least eigenvalue. However, the solution tends to be unstable as the dimensionality of the feature space increases, because the representer theorem does not hold for kernel minor component analysis. Another approach is to obtain a curve based on the principal components derived from kernel principal component analysis. However, since the mapped image of the whole input space forms a low dimensional manifold, the input point corresponding to the principal component does not always exist and it is necessary to approximate it by preimage whose property has not been enough understood. This report examines and discusses such behavior. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | feature space / curve fitting / kernel PCA / Hilbert space |
| Paper # | MVE2011-64,PRMU2011-155 |
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| Conference Information | |
| Committee | MVE |
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| Conference Date | 2012/1/12(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
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| Vice Chair | |
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| Paper Information | |
| Registration To | Media Experience and Virtual Environment (MVE) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A study of feature space for curve fitting |
| Sub Title (in English) | |
| Keyword(1) | feature space |
| Keyword(2) | curve fitting |
| Keyword(3) | kernel PCA |
| Keyword(4) | Hilbert space |
| 1st Author's Name | Jun FUJIKI |
| 1st Author's Affiliation | The National Institute of Advanced Industrial Science and Technology (AIST)() |
| 2nd Author's Name | Shotaro AKAHO |
| 2nd Author's Affiliation | The National Institute of Advanced Industrial Science and Technology (AIST) |
| Date | 2012/1/12 |
| Paper # | MVE2011-64,PRMU2011-155 |
| Volume (vol) | vol.111 |
| Number (no) | 380 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |