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[LPV16] Solving LP using random projections

Conférence Internationale avec comité de lecture : CTW16, November 2016, pp. Pages 53-56, Italy, (DOI: https://doi.org/10.1016/j.endm.2016.10.014)
motcle:
Résumé: A celebrated result of Johnson and Lindenstrauss asserts that, in high enough dimensional spaces, Euclidean distances defined by a finite set of points are approximately preserved when these points are projected to a certain lower dimensional space. We show that the distance from a point to a convex set is another approximate invariant, and leverage this result to approximately solve linear programs with a logarithmic number of rows.

BibTeX

@inproceedings {
LPV16,
title="{Solving LP using random projections}",
author=" L. Liberti and P. Poirion and Ky Vu ",
booktitle="{CTW16}",
year=2016,
month="November",
pages=" Pages 53-56",
address=" Italy",
doi="https://doi.org/10.1016/j.endm.2016.10.014",
}