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Fixed point rules for heteroscedastic Gaussian kernel-based topographic map formation

Van Hulle, Marc M.



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Abstract:
We develop a number of fixed point rules for training homogeneous, heteroscedastic but otherwise radially-symmetric Gaussian kernel-based topographic maps. We extend the batch map algorithm to the heteroscedastic case and introduce two candidates of fixed point rules for which the end-states, i.e., after the neighborhood range has vanished, are identical to the maximum likelihood Gaussian mixture modeling case. We compare their performance for clustering a number of real world data sets.


Keywords: kernel-based topographic map formation, heteroscedastic Gaussians, batch map extension
Institution: Faculty of Technology, Research Groups in Informatics
DDC classification: Data processing, computer science, computer systems

Suggested Citation:
Van Hulle, Marc M.  (2007)  Fixed point rules for heteroscedastic Gaussian kernel-based topographic map formation.


URL: http://biecoll.ub.uni-bielefeld.de/volltexte/2007/136



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