Zobrazeno 1 - 10
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pro vyhledávání: '"Santarsiero, A."'
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 of signature tensors, starting from their rank, symmetries and conciseness. We prove a sha
Externí odkaz:
http://arxiv.org/abs/2407.20405
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 tangential variety of any Segre variety, but not on the variety itself, we show that the decom
Externí odkaz:
http://arxiv.org/abs/2407.18138
Autor:
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 volumes.
Comment: 14 pages, comments are welcome!
Comment: 14 pages, comments are welcome!
Externí odkaz:
http://arxiv.org/abs/2402.12217
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 full description of the Terracini loci. Moreover, we present an algorithm to explicitly co
Externí odkaz:
http://arxiv.org/abs/2311.09067
Autor:
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 all signature tensors at a particular level gives rise to the universal signature variety. W
Externí odkaz:
http://arxiv.org/abs/2308.11571
Inspired by recent work of Kopparty-Moshkovitz-Zuiddam and motivated by problems in combinatorics and hypergraphs, we introduce the notion of the symmetric geometric rank of a symmetric tensor. This quantity is equal to the codimension of the singula
Externí odkaz:
http://arxiv.org/abs/2303.17537
Autor:
Ilaria Caivano, Alessandro Santarsiere, Mario Amati, Paolo Convertini, Maria Funicello, Paolo Lupattelli, Lucia Chiummiento, Anna Santarsiero
Publikováno v:
Organics, Vol 5, Iss 3, Pp 237-251 (2024)
Permethylated anigopreissin A (PAA), a fully protected form of the natural anigopreissin A, was found in our previous study to be active against several cancer cells, up to IC50 0.24 μM for HepG2 cells. Herein, a total of thirteen PAA analogues with
Externí odkaz:
https://doaj.org/article/a5b796d6e5634fc7aeb50f8606596f2c
Publikováno v:
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 encodes the relative pose of two calibrated pinhole cameras. The $5$-point algorithm in computer vision computes the real points
Externí odkaz:
http://arxiv.org/abs/2212.01596
Changes in the pharyngeal and nasal microbiota in pediatric patients with adenotonsillar hypertrophy
Autor:
Federica Del Chierico, Antonia Piazzesi, Ersilia Vita Fiscarelli, Maria Vittoria Ristori, Ilaria Pirona, Alessandra Russo, Nicoletta Citerà, Gabriele Macari, Sara Santarsiero, Fabrizio Bianco, Valeria Antenucci, Valerio Damiani, Luigi Mercuri, Giovanni Carlo De Vincentis, Lorenza Putignani
Publikováno v:
Microbiology Spectrum, Vol 12, Iss 10 (2024)
ABSTRACT The present study aimed to investigate the pharyngeal and nasal microbiota composition in children with adenotonsillar hypertrophy (AH) and assess longitudinal alterations in both microbiota after a probiotic oral spray treatment. A cohort o
Externí odkaz:
https://doaj.org/article/26677639bb3d41a8b36d2b0f0d8f74db
Autor:
Santarsiero, Pierpaola
We present an algorithm aimed to recognize if a given tensor is a non-identifiable rank-3 tensor.
Comment: 23 pages, with an appendix together with E. Ballico and A. Bernardi. Comments are welcome!
Comment: 23 pages, with an appendix together with E. Ballico and A. Bernardi. Comments are welcome!
Externí odkaz:
http://arxiv.org/abs/2211.06384