Arrow Research search

Author name cluster

Benjamin Cousins

Possible papers associated with this exact author name in Arrow. This page groups case-insensitive exact name matches and is not a full identity disambiguation profile.

3 papers
1 author row

Possible papers

3

STOC Conference 2015 Conference Paper

Bypassing KLS: Gaussian Cooling and an O^*(n3) Volume Algorithm

  • Benjamin Cousins
  • Santosh S. Vempala

We present an O*(n 3 ) randomized algorithm for estimating the volume of a well-rounded convex body given by a membership oracle, improving on the previous best complexity of O*(n 4 ). The new algorithmic ingredient is an accelerated cooling schedule where the rate of cooling increases with the temperature. Previously, the known approach for potentially achieving such complexity relied on a positive resolution of the KLS hyperplane conjecture, a central open problem in convex geometry.