An improved pyramid matching kernel

  • Authors:
  • Jun Zhang;Guangzhou Zhao;Hong Gu

  • Affiliations:
  • College of Electric Engineering, Zhejiang University, Hangzhou, China;College of Electric Engineering, Zhejiang University, Hangzhou, China;College of Electric Engineering, Zhejiang University, Hangzhou, China

  • Venue:
  • LSMS/ICSEE'10 Proceedings of the 2010 international conference on Life system modeling and and intelligent computing, and 2010 international conference on Intelligent computing for sustainable energy and environment: Part I
  • Year:
  • 2010

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Abstract

The pyramid matching kernel (PMK) draws lots of researchers' attentions for its linear computational complexity while still having state-of-the-art performance. However, as the feature dimension increases, the original PMK suffers from distortion factors that increase linearly with the feature dimension. This paper proposes a new method called dimension partition PMK (DP-PMK) which only increases little couples of the original PMK's computation time. But DP-PMK still catches up with other proposed strategies. The main idea of the method is to consistently divide the feature space into two subspaces while generating several levels. In each subspace of the level, the original pyramid matching is used. Then a weighted sum of every subspace at each level is made as the final measurement of similarity. Experiments on dataset Caltech-101 show its impressive performance: compared with other related algorithms which need hundreds of times of original computational time, DP-PMK needs only about 4-6 times of original computational time to obtain the same accuracy.