Fourier-Information Duality in the Identity Management Problem

author: Xiaoye Jiang, Institute for Computational and Mathematical Engineering, Stanford University
published: Oct. 3, 2011,   recorded: September 2011,   views: 2781


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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.

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