Résumé
This paper develops the Bernstein tensor concentration inequality for random tensors of general order, based on the use of Einstein products for tensors. This establishes a strong link between these and matrices, which in turn allows exploitation of existing results for the latter. An interesting application to sample estimators of high-order moments is presented as an illustration.
langue originale | Anglais |
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Pages (de - à) | 367-384 |
Nombre de pages | 18 |
journal | Frontiers of Mathematics in China |
Volume | 15 |
Numéro de publication | 2 |
Les DOIs | |
Etat de la publication | Publié - 1 avr. 2020 |
Modification externe | Oui |