Date of Original Version

11-2007

Type

Conference Proceeding

Abstract or Description

In this paper, we consider the problem of partitioning a small data sample drawn from a mixture of k product distributions. We are interested in the case that individual features are of low average quality γ, and we want to use as few of them as possible to correctly partition the sample. We analyze a spectral technique that is able to approximately optimize the total data size—the product of number of data points n and the number of features K—needed to correctly perform this partitioning as a function of 1/γ for K  > n. Our goal is motivated by an application in clustering individuals according to their population of origin using markers, when the divergence between any two of the populations is small.

DOI

10.1007/978-3-540-77120-3_39

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Published In

T. Tokuyama (Ed.): ISAAC 2007, LNCS 4835, 439-451.