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Computing with unreliable information

  • Uriel Feige
  • , David Peleg
  • , Prabhakar Raghavan
  • , Eli Upfal
  • Weizmann Institute of Science

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

7 Scopus citations

Abstract

A (possibly randomized) computation tree is considered in which each node gives the correct answer with some probability ≥ p, where p is a fixed constant in ( 1/2 , 1), bounded away from 1/2 and 1. The node faults are independent. The depth of the computation tree is studied in terms of a tolerance parameter Q member of (0, 1/2 ): on any instance, the computation tree leads to a leaf giving the correct answer on that instance with probability at least 1 - Q. The success probability of the algorithm is computed over the combined probability space of the outcome of individual comparisons and the results of coinflips (in case our algorithm is randomized). Noisy comparison trees are studied for problems such as sorting, selection and searching.

Original languageEnglish
Title of host publicationProceedings of the twenty-second annual ACM symposium on Theory of Computing
PublisherPubl by ACM
Pages128-137
Number of pages10
ISBN (Print)0897913612, 9780897913614
DOIs
StatePublished - 1990
Externally publishedYes
Event22nd Annual ACM Symposium on Theory of Computing, STOC 1990 - Baltimore, MD, USA
Duration: 14 May 199016 May 1990

Publication series

NameProceedings of the twenty-second annual ACM symposium on Theory of Computing

Conference

Conference22nd Annual ACM Symposium on Theory of Computing, STOC 1990
CityBaltimore, MD, USA
Period14/05/9016/05/90

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