205 citations · 676 across the 36 of their papers we have counts for
4 papers · 1 filter
The Hitchhiker guide to: Secant Varieties and Tensor Decomposition
Alessandra Bernardi, Enrico Carlini, Maria Virginia Catalisano +2
We consider here the problem, which is quite classical in Algebraic geometry, of studying the secant varieties of a projective variety . The case we concentrate on is when i…
Waring, tangential and cactus decompositions
Alessandra Bernardi, Daniele Taufer
(EN) We revise the famous algorithm for symmetric tensor decomposition due to Brachat, Comon, Mourrain and Tsidgaridas. Afterwards, we generalize it in order to detect possibly dif…
Skew-Symmetric Tensor Decomposition
Enrique Arrondo, Alessandra Bernardi, Pedro Macias Marques +1
We introduce the ``skew apolarity lemma'' and we use it to give algorithms for the skew-symmetric rank and the decompositions of tensors in { with $d\leq…
On the partially symmetric rank of tensor products of W-states and other symmetric tensors
Edoardo Ballico, Alessandra Bernardi, Matthias Christandl +1
Given tensors and of order and respectively, the tensor product is a tensor of order . It was recently shown that the tensor rank can be stri…