On Monotonicity Testing and Boolean Isoperimetric Type Theorems

We show a directed and robust analogue of a boolean isoperimetric type theorem of Talagrand [13]. As an application, we give a monotonicity testing algorithm that makes O̅(√n/ε 2 ) non-adaptive queries to a function f : {0, 1} n → {0, 1}, always accepts a monotone function and rejects a function tha...

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Bibliographic Details
Published in2015 IEEE 56th Annual Symposium on Foundations of Computer Science pp. 52 - 58
Main Authors Khot, Subhash, Minzer, Dor, Safra, Muli
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.10.2015
Subjects
Boolean functions
Color
Computer science
Electronic mail
Hypercubes
isoperimetry
monotone functions
property testing
Robustness
Testing
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ISSN0272-5428
DOI10.1109/FOCS.2015.13

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Summary:We show a directed and robust analogue of a boolean isoperimetric type theorem of Talagrand [13]. As an application, we give a monotonicity testing algorithm that makes O̅(√n/ε 2 ) non-adaptive queries to a function f : {0, 1} n → {0, 1}, always accepts a monotone function and rejects a function that is ε-far from being monotone with constant probability.
ISSN:0272-5428
DOI:10.1109/FOCS.2015.13