• Corpus ID: 16128140

A direct proof for Lovett's bound on the communication complexity of low rank matrices

  title={A direct proof for Lovett's bound on the communication complexity of low rank matrices},
  author={Thomas Rothvoss},
  • T. Rothvoss
  • Published 22 September 2014
  • Computer Science
  • ArXiv
The log-rank conjecture in communication complexity suggests that the deterministic communication complexity of any Boolean rank-r function is bounded by polylog(r). Recently, major progress was made by Lovett who proved that the communication complexity is bounded by O(r^1/2 * log r). Lovett's proof is based on known estimates on the discrepancy of low-rank matrices. We give a simple, direct proof based on a hyperplane rounding argument that in our opinion sheds more light on the reason why a… 
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