An Algorithmic Proof of Forster's Lower Bound

An Algorithmic Proof of Forster's Lower Bound - Moritz Hardt

Moritz Hardt
Princeton University
December 15, 2009

We give an algorithmic proof of Forster's Theorem, a fundamental result in communication complexity. Our proof is based on a geometric notion we call radial isotropic position which is related to the well-known isotropic position of a set of vectors. We point out an efficient algorithm to compute the radial isotropic position of a given set of vectors when it exists.