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arXiv · 1205.5589

Technical report: Two observations on probability distribution symmetries for randomly-projected data

Hanchao Qi·Shannon M. Hughes
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Abstract

In this technical report, we will make two observations concerning symmetries of the probability distribution resulting from projection of a piece of p-dimensional data onto a random m-dimensional subspace of $\mathbb{R}^p$, where m < p. In particular, we shall observe that such distributions are unchanged by reflection across the original data vector and by rotation about the original data vector

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Hanchao Qi, Shannon M. Hughes. 2012-05-24. Technical report: Two observations on probability distribution symmetries for randomly-projected data. https://arxiv.org/abs/1205.5589

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