Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
complex matrices
real matrices |
| gptkbp:describes |
best low-rank approximation of a matrix
|
| gptkbp:field |
linear algebra
matrix theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Eckart–Young theorem
|
| gptkbp:namedAfter |
gptkb:Carl_Eckart
gptkb:Gale_Young |
| gptkbp:publicationYear |
1936
|
| gptkbp:publishedIn |
gptkb:Psychometrika
|
| gptkbp:relatedTo |
singular value decomposition
matrix approximation low-rank approximation |
| gptkbp:state |
the best rank-k approximation of a matrix in the least squares sense is given by the truncated singular value decomposition
|
| gptkbp:usedIn |
gptkb:machine_learning
gptkb:principal_component_analysis gptkb:signal_processing data compression |
| gptkbp:bfsParent |
gptkb:Carl_Eckart
|
| gptkbp:bfsLayer |
6
|