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Fixed point rules for heteroscedastic Gaussian kernel-based topographic map formation
Van Hulle, Marc M.
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.
||kernel-based topographic map formation, heteroscedastic Gaussians, batch map extension
||Faculty of Technology, Research Groups in Informatics
||Data processing, computer science, computer systems
Van Hulle, Marc M. (2007) Fixed point rules for heteroscedastic Gaussian kernel-based topographic map formation.