Fourier-information duality in the identity management problem

  • Authors:
  • Xiaoye Jiang;Jonathan Huang;Leonidas Guibas

  • Affiliations:
  • Stanford University, Stanford, CA;Carnegie Mellon University, Pittsburgh, PA;Stanford University, Stanford, CA

  • Venue:
  • ECML PKDD'11 Proceedings of the 2011 European conference on Machine learning and knowledge discovery in databases - Volume Part II
  • Year:
  • 2011

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Abstract

We compare two recently proposed approaches for representing probability distributions over the space of permutations in the context of multi-target tracking. We show that these two representations, the Fourier approximation and the information form approximation can both be viewed as low dimensional projections of a true distribution, but with respect to different metrics. We identify the strengths and weaknesses of each approximation, and propose an algorithm for converting between the two forms, allowing for a hybrid approach that draws on the strengths of both representations. We show experimental evidence that there are situations where hybrid algorithms are favorable.