Adversarial Smoothed Analysis

Cucker, Felipe and Hauser, Raphael and Lotz, Martin (2010) Adversarial Smoothed Analysis. Journal of Complexity (26). pp. 255-262.

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The purpose of this note is to extend the results on uniform smoothed analysis of condition numbers from BCL07 to the case where the perturbation follows a radially symmetric probability distribution. In particular, we will show that the bounds derived in BCL07 still hold in the case of distributions whose density has a singularity at the center of the perturbation, which we call adversarial.

Item Type: Article
Subjects: MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis
Depositing User: Dr. Martin Lotz
Date Deposited: 23 Oct 2012
Last Modified: 20 Oct 2017 14:13

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