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Published in:
2007 | OriginalPaper | Chapter
Relational Topographic Maps
Authors : Alexander Hasenfuss, Barbara Hammer
Published in: Advances in Intelligent Data Analysis VII
Publisher: Springer Berlin Heidelberg
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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.