Towards finding hay in a haystack: explicit tensors of border rank greater than $2.02m$ in $C^motimes C^motimes C^m$ Academic Article uri icon

abstract

  • We write down an explicit sequence of tensors in $C^motimes C^motimes C^m$, for all $m$ sufficiently large, having border rank at least $2.02m$, overcoming a longstanding barrier. We obtain our lower bounds via the border substitution method.

published proceedings

  • CoRR

author list (cited authors)

  • Landsberg, J. M., & Michaek, M.

complete list of authors

  • Landsberg, JM||Michałek, Mateusz

publication date

  • January 2019