85 citations · 366 across the 53 of their papers we have counts for
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Waring-like decompositions of polynomials - 1
Maria Virginia Catalisano, Luca Chiantini, Anthony V. Geramita +1
Let be a homogeneous form of degree in variables. A Waring decomposition of is a way to express as a sum of powers of linear forms. In this paper we co…
On generic identifiability of symmetric tensors of subgeneric rank
Luca Chiantini, Giorgio Ottaviani, Nick Vannieuwenhoven
We prove that the general symmetric tensor in of rank r is identifiable, provided that r is smaller than the generic rank. That is, its Waring decomposition…
Expressing a General Form as a Sum of Determinants
Luca Chiantini, Anthony V. Geramita
Let A= (a_{ij}) be a non-negative integer k x k matrix. A is a homogeneous matrix if a_{ij} + a_{kl}=a_{il} + a_{kj} for any choice of the four indexes. We ask: If A is a homogeneo…
Expressing Forms as a sum of Pfaffians
Luca Chiantini
Let A= (a_{ij}) be a symmetric non-negative integer 2k x 2k matrix. A is homogeneous if a_{ij} + a_{kl}=a_{il} + a_{kj} for any choice of the four indexes. Let A be a homogeneous m…