Matches in SemOpenAlex for { <https://semopenalex.org/work/W3168608768> ?p ?o ?g. }
Showing items 1 to 76 of
76
with 100 items per page.
- W3168608768 abstract "This short note presents upper bounds of the expectations of the largest singular values/eigenvalues of various types of random tensors in the non-asymptotic sense. For a standard Gaussian tensor of size $n_1timescdotstimes n_d$, it is shown that the expectation of its largest singular value is upper bounded by $sqrt {n_1}+cdots+sqrt {n_d}$. For the expectation of the largest $ell^d$-singular value, it is upper bounded by $2^{frac{d-1}{2}}prod_{j=1}^{d}n_j^{frac{d-2}{2d}}sum^d_{j=1}n_j^{frac{1}{2}}$. We also derive the upper bounds of the expectations of the largest Z-/H-($ell^d$)/M-/C-eigenvalues of symmetric, partially symmetric, and piezoelectric-type Gaussian tensors, which are respectively upper bounded by $dsqrt n$, $dcdot 2^{frac{d-1}{2}}n^{frac{d-1}{2}}$, $2sqrt m+2sqrt n$, and $3sqrt n$." @default.
- W3168608768 created "2021-06-22" @default.
- W3168608768 creator A5068922983 @default.
- W3168608768 date "2021-06-14" @default.
- W3168608768 modified "2023-09-27" @default.
- W3168608768 title "On the Largest Singular Value/Eigenvalue of a Random Tensor" @default.
- W3168608768 cites W109696370 @default.
- W3168608768 cites W1546851689 @default.
- W3168608768 cites W1573820523 @default.
- W3168608768 cites W1976492279 @default.
- W3168608768 cites W2000134594 @default.
- W3168608768 cites W2090208105 @default.
- W3168608768 cites W2113722075 @default.
- W3168608768 cites W2602479147 @default.
- W3168608768 cites W2965497096 @default.
- W3168608768 hasPublicationYear "2021" @default.
- W3168608768 type Work @default.
- W3168608768 sameAs 3168608768 @default.
- W3168608768 citedByCount "0" @default.
- W3168608768 crossrefType "posted-content" @default.
- W3168608768 hasAuthorship W3168608768A5068922983 @default.
- W3168608768 hasConcept C109282560 @default.
- W3168608768 hasConcept C114614502 @default.
- W3168608768 hasConcept C121332964 @default.
- W3168608768 hasConcept C134306372 @default.
- W3168608768 hasConcept C155281189 @default.
- W3168608768 hasConcept C158693339 @default.
- W3168608768 hasConcept C18903297 @default.
- W3168608768 hasConcept C202444582 @default.
- W3168608768 hasConcept C2777299769 @default.
- W3168608768 hasConcept C33923547 @default.
- W3168608768 hasConcept C34388435 @default.
- W3168608768 hasConcept C62520636 @default.
- W3168608768 hasConcept C77553402 @default.
- W3168608768 hasConcept C86803240 @default.
- W3168608768 hasConceptScore W3168608768C109282560 @default.
- W3168608768 hasConceptScore W3168608768C114614502 @default.
- W3168608768 hasConceptScore W3168608768C121332964 @default.
- W3168608768 hasConceptScore W3168608768C134306372 @default.
- W3168608768 hasConceptScore W3168608768C155281189 @default.
- W3168608768 hasConceptScore W3168608768C158693339 @default.
- W3168608768 hasConceptScore W3168608768C18903297 @default.
- W3168608768 hasConceptScore W3168608768C202444582 @default.
- W3168608768 hasConceptScore W3168608768C2777299769 @default.
- W3168608768 hasConceptScore W3168608768C33923547 @default.
- W3168608768 hasConceptScore W3168608768C34388435 @default.
- W3168608768 hasConceptScore W3168608768C62520636 @default.
- W3168608768 hasConceptScore W3168608768C77553402 @default.
- W3168608768 hasConceptScore W3168608768C86803240 @default.
- W3168608768 hasLocation W31686087681 @default.
- W3168608768 hasOpenAccess W3168608768 @default.
- W3168608768 hasPrimaryLocation W31686087681 @default.
- W3168608768 hasRelatedWork W1488226989 @default.
- W3168608768 hasRelatedWork W1499525344 @default.
- W3168608768 hasRelatedWork W1524762518 @default.
- W3168608768 hasRelatedWork W1635728963 @default.
- W3168608768 hasRelatedWork W2021481737 @default.
- W3168608768 hasRelatedWork W2041357089 @default.
- W3168608768 hasRelatedWork W2085581775 @default.
- W3168608768 hasRelatedWork W2147271812 @default.
- W3168608768 hasRelatedWork W2231092668 @default.
- W3168608768 hasRelatedWork W2277170048 @default.
- W3168608768 hasRelatedWork W2734681490 @default.
- W3168608768 hasRelatedWork W2788277665 @default.
- W3168608768 hasRelatedWork W2799559435 @default.
- W3168608768 hasRelatedWork W2949301391 @default.
- W3168608768 hasRelatedWork W2950452668 @default.
- W3168608768 hasRelatedWork W2950638397 @default.
- W3168608768 hasRelatedWork W2950645595 @default.
- W3168608768 hasRelatedWork W3000047822 @default.
- W3168608768 hasRelatedWork W3011473647 @default.
- W3168608768 hasRelatedWork W3137761206 @default.
- W3168608768 isParatext "false" @default.
- W3168608768 isRetracted "false" @default.
- W3168608768 magId "3168608768" @default.
- W3168608768 workType "article" @default.