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- W58356739 abstract "We generalize the classic self-organizing map (SOM) in flat Euclidean space (linear manifold) onto a Riemannian manifold. Both sequential and batch learning algorithms for the generalized SOM are presented. Compared with the classical SOM, the most novel feature of the generalized SOM is that it can learn the intrinsic topological neighborhood structure of the underlying Riemannian manifold that fits to the input data. We here compared the performance of the generalized SOM and the classical SOM using real 3-Dimensional facial surface normals data. Experimental results show that the generalized SOM outperforms the classical SOM when the data lie on a curved Riemannian manifold." @default.
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- W58356739 date "2009-01-01" @default.
- W58356739 modified "2023-09-26" @default.
- W58356739 title "A Riemannian Self-Organizing Map" @default.
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- W58356739 doi "https://doi.org/10.1007/978-3-642-04146-4_26" @default.
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