GTM: the generative topographic mapping
Neural Computation
Generalized relevance learning vector quantization
Neural Networks - New developments in self-organizing maps
Nonlinear Dimensionality Reduction
Nonlinear Dimensionality Reduction
Distance learning in discriminative vector quantization
Neural Computation
Neurocomputing
Relational generative topographic mapping
Neurocomputing
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In the life sciences, short time series with high dimensional entries are becoming more and more popular such as spectrometric data or gene expression profiles taken over time. Data characteristics rule out classical time series analysis due to the few time points, and they prevent a simple vectorial treatment due to the high dimensionality. In this contribution, we successfully use the generative topographic mapping through time (GTM-TT) which is based on hidden Markov models enhanced with a topographic mapping to model such data. We propose an extension of GTM-TT by relevance learning which automatically adapts the model such that the most relevant input variables and time points are emphasized by means of an automatic relevance weighting scheme. We demonstrate the technique in two applications from the life sciences.