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From absolute distinguishability to positive distinguishability

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

We study methods of converting algorithms that distinguish pairs of distributions with a gap that has an absolute value that is noticeable into corresponding algorithms in which the gap is always positive (and noticeable). Our focus is on designing algorithms that, in addition to the tested string, obtain a fixed number of samples from each distribution. Needless to say, such algorithms can not provide a very reliable guess for the sign of the original distinguishability gap, still we show that even guesses that are noticeably better than random are useful in this setting.

Original languageEnglish
Title of host publicationStudies in Complexity and Cryptography
Subtitle of host publicationMiscellanea on the Interplay between Randomness and Computation
EditorsOded Goldreich
Chapter17
Pages141-155
Number of pages15
DOIs
StatePublished - 2011

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume6650 LNCS

ASJC Scopus subject areas

  • Theoretical Computer Science
  • General Computer Science

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