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» On the Average-Case Complexity of Property Testing
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ECCC
2011
185views ECommerce» more  ECCC 2011»
14 years 4 months 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
79
Voted
STACS
2005
Springer
15 years 3 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
15 years 3 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
73
Voted
APPROX
2009
Springer
107views Algorithms» more  APPROX 2009»
15 years 4 months 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
15 years 3 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