A modified neutral point method for kernel-based fusion of pattern-recognition modalities with incomplete data sets

  • Authors:
  • Maxim Panov;Alexander Tatarchuk;Vadim Mottl;David Windridge

  • Affiliations:
  • Moscow Institute of Physics and Technology, Moscow, Russia;Computing Center of the Russian Academy of Sciences, Moscow, Russia;Computing Center of the Russian Academy of Sciences, Moscow, Russia;Center for Vision, Speech and Signal Processing, University of Surrey, Guildford, UK

  • Venue:
  • MCS'11 Proceedings of the 10th international conference on Multiple classifier systems
  • Year:
  • 2011

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Abstract

It is commonly the case in multi-modal pattern recognition that certain modality-specific object features are missing in the training set. We address here the missing data problem for kernel-based Support Vector Machines, in which each modality is represented by the respective kernel matrix over the set of training objects, such that the omission of a modality for some object manifests itself as a blank in the modality-specific kernel matrix at the relevant position. We propose to fill the blank positions in the collection of training kernel matrices via a variant of the Neutral Point Substitution (NPS) method, where the term "neutral point" stands for the locus of points defined by the "neutral hyperplane" in the hypothetical linear space produced by the respective kernel. The current method crucially differs from the previously developed neutral point approach in that it is capable of treating missing data in the training set on the same basis as missing data in the test set. It is therefore of potentially much wider applicability. We evaluate the method on the Biosecure DS2 data set.