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2005
Springer

Information Theory in Property Testing and Monotonicity Testing in Higher Dimension

10 years 8 months ago
Information Theory in Property Testing and Monotonicity Testing in Higher Dimension
In property testing, we are given oracle access to a function f, and we wish to test if the function satisfies a given property P, or it is ε-far from having that property. In a more general setting, the domain on which the function is defined is equipped with a probability distribution, which assigns different weight to different elements in the domain. This paper relates the complexity of testing the monotonicity of a function over the d-dimensional cube to the Shannon entropy of the underlying distribution. We provide an improved upper bound on the query complexity of the property tester. © 2006 Elsevier Inc. All rights reserved. 1991 MSC: 68Q01
Nir Ailon, Bernard Chazelle
Added 28 Jun 2010
Updated 28 Jun 2010
Type Conference
Year 2005
Where STACS
Authors Nir Ailon, Bernard Chazelle
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