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» On the Average-Case Complexity of Property Testing
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ECCC
2011
185views ECommerce» more  ECCC 2011»
13 years 14 days ago
Property Testing Lower Bounds via Communication Complexity
We develop a new technique for proving lower bounds in property testing, by showing a strong connection between testing and communication complexity. We give a simple scheme for r...
Eric Blais, Joshua Brody, Kevin Matulef
STACS
2005
Springer
13 years 11 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...
Nir Ailon, Bernard Chazelle
FCT
2007
Springer
13 years 11 months ago
The Quantum Query Complexity of Algebraic Properties
We present quantum query complexity bounds for testing algebraic properties. For a set S and a binary operation on S, we consider the decision problem whether S is a semigroup or ...
Sebastian Dörn, Thomas Thierauf
APPROX
2009
Springer
107views Algorithms» more  APPROX 2009»
14 years 2 days ago
Hierarchy Theorems for Property Testing
Referring to the query complexity of property testing, we prove the existence of a rich hierarchy of corresponding complexity classes. That is, for any relevant function q, we prov...
Oded Goldreich, Michael Krivelevich, Ilan Newman, ...
STACS
2007
Springer
13 years 11 months ago
Testing Convexity Properties of Tree Colorings
A coloring of a graph is convex if it induces a partition of the vertices into connected subgraphs. Besides being an interesting property from a theoretical point of view, tests f...
Eldar Fischer, Orly Yahalom