BIRS Workshop Lecture Videos
Detecting non-linear rank via the topology of hyperplane codes. Itskov, Vladimir
Non-linear rank of a matrix M is the minimal possible rank of a matrix obtained by applying arbitrary monotone-increasing functions to each row of M. The problem of finding the non-linear rank often arises in neuroscience context. In this talk I will explain how the topology of hyperplane arrangements is closely related to the problem of finding the non-linear rank. I will then present an algebraic approach and computational results for estimating the nonlinear rank.
Item Citations and Data
Attribution-NonCommercial-NoDerivatives 4.0 International