Testing Identity of Multidimensional Histograms

COLT, Volume abs/1804.03636, 2019, Pages 1107-1131.

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Abstract:

We investigate the problem of identity testing for multidimensional histogram distributions. A distribution $p: D rightarrow mathbb{R}_+$, where $D subseteq mathbb{R}^d$, is called a {$k$-histogram} if there exists a partition of the domain into $k$ axis-aligned rectangles such that $p$ is constant within each such rectangle. Histograms a...More

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