Oded Goldreich, Dana Ron

The standard definition of property testing endows the tester with the ability to make arbitrary queries to ``elements''

of the tested object.

In contrast, sample-based testers only obtain independently distributed elements (a.k.a. labeled samples) of the tested object.

While sample-based testers were defined by

Goldreich, Goldwasser, and Ron ({\em JACM}\/ ...
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Roei Tell

A few years ago, Blais, Brody, and Matulef (2012) presented a methodology for proving lower bounds for property testing problems by reducing them from problems in communication complexity. Recently, Bhrushundi, Chakraborty, and Kulkarni (2014) showed that some reductions of this type can be deconstructed to two separate reductions, from communication ... more >>>

Nader Bshouty

We study the query complexity of one-sided $\epsilon$-testing the class of Boolean functions $f:F^n\to \{0,1\}$ that describe affine subspaces and Boolean functions that describe axis-parallel affine subspaces, where $F$ is any finite field. We give a polynomial-time $\epsilon$-testers that ask $\tilde O(1/\epsilon)$ queries. This improves the query complexity $\tilde O(|F|/\epsilon)$ ... more >>>