Mark Braverman

The price of uncertainty in communication

2015

We consider the problem of one-way communication when the recipient does not know exactly the distribution that the messages are drawn from, but has a “prior” distribution that is known to be close to the …

Improved Monotonicity Testers via Hypercube Embeddings

2022 · arXiv (Cornell University)

We show improved monotonicity testers for the Boolean hypercube under the $p$-biased measure, as well as over the hypergrid $[m]^n$. Our results are: 1. For any $p\in (0,1)$, for the $p$-biased hypercube we show a …