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Topographic Processing of Relational Data

Hammer, Barbara ; Hasenfuß, Alexander ; Rossi, Fabrice ; Strickert, Marc



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Abstract:
Recently, batch optimization schemes of the self-organizing map and neural gas have been modified to allow arbitrary distance measures.This principle is particularly suitable for complex applications where data are compared by means of problem-specific, possibly discrete metrics such as protein sequences. However, median variants do not allow a continuous update of prototype locations and their capacity is thus restricted. In this contribution, we consider the relational dual of batch optimization which can be formulated in terms of pairwise distances only such that an application to arbitrary distance matrices becomes possible. For SOM, a direct visualization of data is given by means of the underlying (euclidean or hyperbolic) lattice structure. For NG, pairwise distances of prototypes can be computed based on a given data matrix only, such that subsequent mapping by means of multidimensional scaling can be applied.


Keywords: Relational Data, Neural Gas, Self-organizing Maps, Visualization
Institution: Faculty of Technology, Research Groups in Informatics
DDC classification: Data processing, computer science, computer systems

Suggested Citation:
Hammer, Barbara ; Hasenfuß, Alexander ; Rossi, Fabrice ; Strickert, Marc  (2007)  Topographic Processing of Relational Data.


URL: http://biecoll.ub.uni-bielefeld.de/volltexte/2007/152



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