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  • Creator(s):
    Jonathan Hauenstein
    Description:

    We define tensors, most of which correspond with cubic polynomials, which have the same exponent w as the matrix multiplication tensor. In particular, we study the symmetrized matrix multiplication tensor defined on an nxn matrix A by trace(A^3). The use of polynomials enables the introduction of additional techniques from algebraic geometry in the study of the matrix multiplication exponent w.

    Date Created:
    2017-01-07
  • Creator(s):
    Jonathan Hauenstein
    Description:

    A computationally challenging classical elimination theory problem is to compute polynomials which vanish on the set of tensors of a given rank. By moving away from computing polynomials via elimination theory to computing pseudowitness sets via numerical elimination theory, we develop computational methods for computing ranks and border ranks of tensors along with decompositions. More generally, we present our approach using joins of any collection of irreducible and nondegenerate projecti…

    Date Created:
    2016-08-31
  • Creator(s):
    Alexander Vyushkov
    Date Created:
    2016-03-22
  • 16

    Dataset

    Creator(s):
    Haiyan Meng
    Description:

    The document includes all the necessary artifacts to reproduce a CMS application.

    Date Created:
    2016-03-01
  • Creator(s):
    Alexander Vyushkov
    Description:

    Files necessary to repeat OpenMalaria VecNet experiment using CCL Umbrella

    Date Created:
    2015-10-08