Gaussian random projections for Euclidean membership problems
Optimization and Control
2015-11-19 v2 Data Structures and Algorithms
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.
Cite
@article{arxiv.1509.00630,
title = {Gaussian random projections for Euclidean membership problems},
author = {Ky Vu and Pierre-Louis Poirion and Leo Liberti},
journal= {arXiv preprint arXiv:1509.00630},
year = {2015}
}