85 citations · 366 across the 53 of their papers we have counts for
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Symmetric tensors: rank and Strassen's conjecture
Enrico Carlini, Maria Virginia Catalisano, Luca Chiantini +2
In this paper we introduce the notion of linear computability as a method of finding the Waring rank of forms. We use this notion to find infinitely many new examples which satisfy…
Progress on the symmetric Strassen conjecture
Enrico Carlini, Maria Virginia Catalisano, Luca Chiantini
Let F and G be homogeneous polynomials in disjoint sets of variables. We prove that the Waring rank is additive, thus proving the symmetric Strassen conjecture, when either F or G…
An algorithm for generic and low-rank specific identifiability of complex tensors
Luca Chiantini, Giorgio Ottaviani, Nick Vannieuwenhoven
We propose a new sufficient condition for verifying whether generic rank-r complex tensors of arbitrary order admit a unique decomposition as a linear combination of rank-1 tensors…
Almost maximal growth of the Hilbert function
Luca Chiantini, Juan Migliore
Let A = S/J be a standard artinian graded algebra over the polynomial ring S. A theorem of Macaulay dictates the possible growth of the Hilbert function of A from any degree to the…