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arXiv · 1509.00630

Gaussian random projections for Euclidean membership problems

Ky Vu·Pierre-Louis Poirion·Leo Liberti
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Abstract

We discuss the application of random projections to the fundamental problem of deciding whether a given point in a Euclidean space belongs to a given set. We show that, under a number of different assumptions, the feasibility and infeasibility of this problem are preserved with high probability when the problem data is projected to a lower dimensional space. Our results are applicable to any algorithmic setting which needs to solve Euclidean membership problems in a high-dimensional space.

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Ky Vu, Pierre-Louis Poirion, Leo Liberti. 2015-11-18. Gaussian random projections for Euclidean membership problems. https://arxiv.org/abs/1509.00630

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