Oded Goldreich

We consider three types of multiple input problems in the context of property testing.

Specifically, for a property $\Pi\subseteq\{0,1\}^n$, a proximity parameter $\epsilon$, and an integer $m$, we consider the following problems:

\begin{enumerate}

\item Direct $m$-Sum Problem for $\Pi$ and $\epsilon$:

Given a sequence of $m$ inputs, output a sequence ...
more >>>

Oded Goldreich

Prior studies of testing graph properties presume that the tester can obtain uniformly distributed vertices in the tested graph (in addition to obtaining answers to the some type of graph-queries).

Here we envision settings in which it is only feasible to obtain random vertices drawn according to an arbitrary distribution ...
more >>>

Oded Goldreich, Dana Ron

We consider the query complexity of three versions of the problem of testing monomials and affine (and linear) subspaces with one-sided error, and obtain the following results:

\begin{itemize}

\item The general problem, in which the arity of the monomial (resp., co-dimension of the subspace) is not specified, has ...
more >>>