Oded Goldreich

We consider the problem of estimating the average of a huge set of values.

That is,

given oracle access to an arbitrary function $f:\{0,1\}^n\mapsto[0,1]$,

we need to estimate $2^{-n} \sum_{x\in\{0,1\}^n} f(x)$

upto an additive error of $\epsilon$.

We are allowed to employ a randomized algorithm which may ...
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Subhas Kumar Ghosh

In this work we show that Unique k-SAT is as Hard as k-SAT for every $k \in {\mathds N}$. This settles a conjecture by Calabro, Impagliazzo, Kabanets and Paturi \cite{CIKP03}. To provide an affirmative answer to this conjecture, we develop a randomness optimal construction of Isolation Lemma(see Valiant and Vazirani ... more >>>

Oded Goldreich, Or Sheffet

We initiate a general study of the randomness complexity of

property testing, aimed at reducing the randomness complexity of

testers without (significantly) increasing their query complexity.

One concrete motovation for this study is provided by the

observation that the product of the randomness and query complexity

of a tester determine ...
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A. C. Cem Say, Abuzer Yakaryilmaz

We give a new characterization of NL as the class of languages whose members have certificates that can be verified with small error in polynomial time by finite state machines that use a constant number of random bits, as opposed to its conventional description in terms of deterministic logarithmic-space verifiers. ... more >>>