Relational Topographic Maps

author: Alexander Hasenfuss, Department of Informatics, Clausthal University of Technology
published: Oct. 8, 2007,   recorded: September 2007,   views: 4313


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We introduce relational variants of neural topographic maps including the self-organizing map and neural gas, which allow clustering and visualization of data given as pairwise similarities or dissimilarities with continuous prototype updates. It is assumed that the (dis-)similarity matrix originates from Euclidean distances, however, the underlying embedding of points is unknown.Batch optimization schemes for topographic map formations are formulated in terms of the given (dis-)similarities and convergence is guaranteed, thus providing a way to transfer batch optimization to relational data.

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