Singular Value Decomposition
GPTKB entity
Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
matrix decomposition
|
| gptkbp:abbreviation |
gptkb:SVD
|
| gptkbp:appliesTo |
rectangular matrices
|
| gptkbp:category |
numerical linear algebra
matrix theory |
| gptkbp:decomposes |
gptkb:group_of_people
|
| gptkbp:decomposition_form |
UΣV*
|
| gptkbp:field |
linear algebra
|
| gptkbp:generalizes |
eigendecomposition
|
| https://www.w3.org/2000/01/rdf-schema#label |
Singular Value Decomposition
|
| gptkbp:introducedIn |
1873
|
| gptkbp:proposedBy |
gptkb:Camille_Jordan
gptkb:Eugenio_Beltrami |
| gptkbp:relatedConcept |
gptkb:principal_component_analysis
gptkb:spectral_theorem gptkb:Moore–Penrose_pseudoinverse |
| gptkbp:singular_values |
non-negative real numbers
|
| gptkbp:U |
unitary matrix
|
| gptkbp:used_in |
gptkb:machine_learning
gptkb:principal_component_analysis gptkb:signal_processing data compression image compression recommender systems latent semantic analysis |
| gptkbp:V* |
conjugate transpose of unitary matrix
|
| gptkbp:Σ |
diagonal matrix
|
| gptkbp:bfsParent |
gptkb:PCA
|
| gptkbp:bfsLayer |
5
|