85 citations · 366 across the 53 of their papers we have counts for
4 papers · 2 filters
Identifiability beyond Kruskal's bound for symmetric tensors of degree 4
Elena Angelini, Luca Chiantini, Nick Vannieuwenhoven
We show how methods of algebraic geometry can produce criteria for the identifiability of specific tensors that reach beyond the range of applicability of the celebrated Kruskal cr…
Polynomials and the exponent of matrix multiplication
Luca Chiantini, Jonathan D. Hauenstein, Christian Ikenmeyer +2
We define tensors, corresponding to cubic polynomials, which have the same exponent as the matrix multiplication tensor. In particular, we study the symmetrized matrix multipli…
On the dimension of contact loci and the identifiability of tensors
Edoardo Ballico, Alessandra Bernardi, Luca Chiantini
Let be an integral and non-degenerate variety. Set . We prove that if the -secant variety of has (the expected) dimension $(k+n-1…
Bounds on the tensor rank
Edoardo Ballico, Alessandra Bernardi, Luca Chiantini +1
We give a sufficient criterion for a lower bound of the cactus rank of a tensor. Then we refine that criterion in order to be able to give an explicit sufficient condition for a no…