Search Results - "Santarsiero, Pierpaola"

Publisher Correction to: An algorithm for the non-identifiability of rank-3 tensors by Santarsiero, Pierpaola

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An algorithm for the non-identifiability of rank-3 tensors by Santarsiero, Pierpaola

“…We present an algorithm aimed to recognize if a given tensor is a non-identifiable rank-3 tensor…”
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Identifiability of Rank-3 Tensors by Ballico, Edoardo, Bernardi, Alessandra, Santarsiero, Pierpaola

“…Rank-2 and rank-3 tensors are almost all identifiable with only few exceptions.We classify them all together with the dimensions and the structures of all the…”
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Decomposing tensor spaces via path signatures by Améndola, Carlos, Galuppi, Francesco, Ríos Ortiz, Ángel David, Santarsiero, Pierpaola, Seynnaeve, Tim

“…The signature of a path is a sequence of tensors whose entries are iterated integrals, playing a key role in stochastic analysis and applications. The set of…”
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An algorithm for the non-identifiability of rank-3 tensors by Santarsiero, Pierpaola

“…We present an algorithm aimed to recognize if a given tensor is a non-identifiable rank-3 tensor…”
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Rank and symmetries of signature tensors by Galuppi, Francesco, Santarsiero, Pierpaola

“…The signature of a path is a sequence of tensors which allows to uniquely reconstruct the path. In this paper we propose a systematic study of basic properties…”
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Degree of the subspace variety by Breiding, Paul, Santarsiero, Pierpaola

“…Subspace varieties are algebraic varieties whose elements are tensors with bounded multilinear rank. In this paper, we compute their degrees by computing their…”
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The symmetric geometric rank of symmetric tensors by Lindberg, Julia, Santarsiero, Pierpaola

“…Inspired by recent work of Kopparty-Moshkovitz-Zuiddam and motivated by problems in combinatorics and hypergraphs, we introduce the notion of the symmetric…”
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Decomposition loci of tensors by Bernardi, Alessandra, Oneto, Alessandro, Santarsiero, Pierpaola

“…The decomposition locus of a tensor is the set of rank-one tensors appearing in a minimal tensor-rank decomposition of the tensor. For tensors lying on the…”
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Geometry of first nonempty Terracini loci by Galuppi, Francesco, Santarsiero, Pierpaola, Torrance, Douglas A, Turatti, Ettore Teixeira

“…After a few results on curves, we characterize the smallest nonempty Terracini loci of Veronese and Segre-Veronese varieties. For del Pezzo surfaces, we give a…”
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Average degree of the essential variety by Breiding, Paul, Fairchild, Samantha, Santarsiero, Pierpaola, Shehu, Elima

“…La Matematica, 3 753-776 (2024) The essential variety is an algebraic subvariety of dimension $5$ in real projective space $\mathbb R\mathrm P^{8}$ which…”
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Terracini locus for three points on a Segre variety by Ballico, Edoardo, Bernardi, Alessandra, Santarsiero, Pierpaola

“…We introduce the notion of r-th Terracini locus of a variety and we compute it for at most three points on a Segre variety…”
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Decomposing Tensor Spaces via Path Signatures by Améndola, Carlos, Galuppi, Francesco, Ortiz, Ángel David Ríos, Santarsiero, Pierpaola, Seynnaeve, Tim

“…The signature of a path is a sequence of tensors whose entries are iterated integrals, playing a key role in stochastic analysis and applications. The set of…”
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Identifiability of rank-3 tensors by Ballico, Edoardo, Bernardi, Alessandra, Santarsiero, Pierpaola

“…Rank-2 and rank-3 tensors are almost all identifiable with only few exceptions. We classify them all together with the dimensions and the structures of all the…”
Get full text