Mark Braverman, Omri Weinstein

This paper provides the first general technique for proving information lower bounds on two-party

unbounded-rounds communication problems. We show that the discrepancy lower bound, which

applies to randomized communication complexity, also applies to information complexity. More

precisely, if the discrepancy of a two-party function $f$ with respect ...
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Xue Chen, David Zuckerman

We show that a small subset of seeds of any strong extractor also gives a strong extractor with similar parameters when the number of output bits is a constant. Specifically, if $Ext: \{0,1\}^n \times \{0,1\}^t \to \{0,1\}^m$ is a strong $(k,\epsilon)$-extractor, then for at least 99% of choices of $\tilde{O}(n ... more >>>

Arkadev Chattopadhyay, Rajit Datta, Partha Mukhopadhyay

Valiant (1980) showed that general arithmetic circuits with negation can be exponentially more powerful than monotone ones. We give the first qualitative improvement to this classical result: we construct a family of polynomials $P_n$ in $n$ variables, each of its monomials has positive coefficient, such that $P_n$ can be computed ... more >>>