| Presentation | 2004/6/18 Kernel density estimation and mode detection on the high dimensional hypersphere Shigeyuki OBA, Shin ISHII, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Radial basis function (RBF) kernels are often used for kernel density estimation in a Euclidian space. We consider another family of kernels which can be applied to kernel density estimation in a hyperspherical space ; correlation kernels. A typical example of the family is von Mises-Fisher kernel. Based on correlation kernels, kernel density estimations can be done by using data points distributed on a hypersphere. We developped an algorithm that detects effectively the modes of the estimated kernel density. It resembles the mean-shift algorithm for RBF kernels, proposed by Comaniciu and Meer (2002), but is applicable to any correlation kernels. We apply it to clustering analysis of high dimensional data sets including gene expression profiles, and show the advantage over that based on Gaussian kernels. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | kernel density estimation / gene expression analysis / clustering / mean-shift / von Mises-Fisher distribution |
| Paper # | NC2004-28 |
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| Committee | NC |
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| Conference Date | 2004/6/18(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Neurocomputing (NC) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Kernel density estimation and mode detection on the high dimensional hypersphere |
| Sub Title (in English) | |
| Keyword(1) | kernel density estimation |
| Keyword(2) | gene expression analysis |
| Keyword(3) | clustering |
| Keyword(4) | mean-shift |
| Keyword(5) | von Mises-Fisher distribution |
| 1st Author's Name | Shigeyuki OBA |
| 1st Author's Affiliation | Graduate School of Information Science, Nara Institute of Science and Technology() |
| 2nd Author's Name | Shin ISHII |
| 2nd Author's Affiliation | Graduate School of Information Science, Nara Institute of Science and Technology |
| Date | 2004/6/18 |
| Paper # | NC2004-28 |
| Volume (vol) | vol.104 |
| Number (no) | 140 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |