Adversarial smoothed analysis

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

2 Scopus Citations
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Detail(s)

Original languageEnglish
Pages (from-to)255-262
Journal / PublicationJournal of Complexity
Volume26
Issue number3
Publication statusPublished - Jun 2010

Abstract

The purpose of this note is to extend the results on uniform smoothed analysis of condition numbers from Brgisser et al. (2008) [1] to the case where the perturbation follows a radially symmetric probability distribution. In particular, we will show that the bounds derived in [1] still hold in the case of distributions whose density has a singularity at the center of the perturbation, which we call adversarial. © 2010 Published by Elsevier Inc.

Research Area(s)

  • Average case analysis, Condition numbers, Random matrices, Smoothed analysis

Citation Format(s)

Adversarial smoothed analysis. / Cucker, Felipe; Hauser, Raphael; Lotz, Martin.

In: Journal of Complexity, Vol. 26, No. 3, 06.2010, p. 255-262.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review