Funtional vector quantization by neural maps

@article{Villmann2009FuntionalVQ,
  title={Funtional vector quantization by neural maps},
  author={Thomas Villmann and Frank-Michael Schleif},
  journal={2009 First Workshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing},
  year={2009},
  pages={1-4}
}
We propose the utilization of Sobolev-norms in unsupervised and supervised vector quantization for clustering and classification of functional data. Sobolev-norms differ from the usual Minkowski-norm by the incorporation of derivatives such that the functional shape is taken into account. This leads to a more appropriate modelling of functional data. As we… CONTINUE READING