| Presentation | 1998/3/19 Topology Preservation of Self-Organizing Feature Maps M Kashima, T Fuchida, K Mori, S Murashima, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The topology preservation of self-organizing feature maps like the Kohonen map is an important property whichi is used in many applications. Various qualitative and quantitative approaches are known for measuring the degree of topology preservation. However, well received measure for determining the topology preservation are not presented yet. In this paper, we present new method for measuring the degree of topology preservation based on using the masked Delaunay triangulation. The topology preservation is completed when the masked Delaunay triangulation coincides with the output network shape. We demonstrate the power of this tool for various examples of data manifords. The important thing derived from our definition on the topology preservation is that the two-dimensional Kohonen map of rectangular lattice does not reach to the topology preservation for input data of uniform distribution but the Kohonen map of hexagonal lattice can reach it. This definition reflects the fact the hexagonal receptive field is popular in natural field but the rectangular receptive field is not. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Self-organizing feature map / Measure for topology preservation / Masked Delaunay triangulation / Kohonen Map |
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| Conference Information | |
| Committee | NC |
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| Conference Date | 1998/3/19(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Topics (in Japanese) | (See Japanese page) |
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| 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) | Topology Preservation of Self-Organizing Feature Maps |
| Sub Title (in English) | |
| Keyword(1) | Self-organizing feature map |
| Keyword(2) | Measure for topology preservation |
| Keyword(3) | Masked Delaunay triangulation |
| Keyword(4) | Kohonen Map |
| 1st Author's Name | M Kashima |
| 1st Author's Affiliation | Department of Information and Computer Science Faculty of Engineering Kagoshima University() |
| 2nd Author's Name | T Fuchida |
| 2nd Author's Affiliation | Department of Information and Computer Science Faculty of Engineering Kagoshima University |
| 3rd Author's Name | K Mori |
| 3rd Author's Affiliation | Department of Information and Computer Science Faculty of Engineering Kagoshima University |
| 4th Author's Name | S Murashima |
| 4th Author's Affiliation | Department of Information and Computer Science Faculty of Engineering Kagoshima University |
| Date | 1998/3/19 |
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| Volume (vol) | vol.97 |
| Number (no) | 623 |
| Page | pp.pp.- |
| #Pages | 8 |
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