Hadamard Extensions and the Identification of Mixtures of Product Distributions

Spencer L. Gordon; Leonard J. Schulman

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arXiv · 2101.11688

Hadamard Extensions and the Identification of Mixtures of Product Distributions

Spencer L. Gordon·Leonard J. Schulman

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Abstract

The Hadamard Extension of a matrix is the matrix consisting of all Hadamard products of subsets of its rows. This construction arises in the context of identifying a mixture of product distributions on binary random variables: full column rank of such extensions is a necessary ingredient of identification algorithms. We provide several results concerning when a Hadamard Extension has full column rank.

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Spencer L. Gordon, Leonard J. Schulman. 2021-01-27. Hadamard Extensions and the Identification of Mixtures of Product Distributions. https://arxiv.org/abs/2101.11688

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