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文章基本信息

  • 标题:On Monotonicity Testing and Boolean Isoperimetric type Theorems
  • 本地全文:下载
  • 作者:Subhash Khot ; Dor Minzer ; Muli Safra
  • 期刊名称:Electronic Colloquium on Computational Complexity
  • 印刷版ISSN:1433-8092
  • 出版年度:2015
  • 卷号:2015
  • 出版社:Universität Trier, Lehrstuhl für Theoretische Computer-Forschung
  • 摘要:

    We show a directed and robust analogue of a boolean isoperimetric type theorem of Talagrand. As an application, we give a monotonicity testing algorithm that makes O ( n 2 ) non-adaptive queries to a function f : 0 1 n 0 1 , always accepts a monotone function and rejects a function that is -far from being monotone with constant probability.

  • 关键词:Boolean Functions ; boolean isoperimetry ; Monotonicity testing ; Property Testing
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