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IJON
2011

Relational generative topographic mapping

12 years 10 months ago
Relational generative topographic mapping
Abstract. The generative topographic mapping (GTM) has been proposed as a statistical model to represent high dimensional data by means of a sparse lattice of points in latent space, such that visualization, compression, and data inspection become possible. Original GTM is restricted to Euclidean data points in a vector space. Often, data are not explicitly embedded in a Euclidean vector space, rather pairwise dissimilarities of data can be computed, i.e. the relations between data points are given rather than the data vectors themselves. We propose a method which extends the GTM to relational data and which allows to achieve a sparse representation of data characterized by pairwise dissimilarities, in latent space. The method, relational GTM, is demonstrated on several benchmarks.
Andrej Gisbrecht, Bassam Mokbel, Barbara Hammer
Added 14 May 2011
Updated 14 May 2011
Type Journal
Year 2011
Where IJON
Authors Andrej Gisbrecht, Bassam Mokbel, Barbara Hammer
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