BIRS Workshop Lecture Videos

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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.

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