Statements (44)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:transformation
statistical analysis dimensionality reduction technique |
| gptkbp:alsoKnownAs |
KLT
Hotelling transform |
| gptkbp:appliesTo |
communications
data analysis remote sensing speech recognition image compression pattern recognition face recognition |
| gptkbp:category |
gptkb:signal_processing
linear algebra multivariate statistics |
| gptkbp:field |
gptkb:machine_learning
gptkb:probability_theory gptkb:signal_processing statistics |
| gptkbp:firstDescribed |
1940s
|
| gptkbp:form |
spectral decomposition
eigenfunctions of covariance operator |
| gptkbp:generalizes |
gptkb:Fourier_transform
singular value decomposition |
| gptkbp:hasWikipediaPage |
https://en.wikipedia.org/wiki/Karhunen%E2%80%93Lo%C3%A8ve_transform
|
| https://www.w3.org/2000/01/rdf-schema#label |
Karhunen–Loève Transform
|
| gptkbp:input |
random process
|
| gptkbp:isInvertible |
true
|
| gptkbp:isMatrixGroup |
true
|
| gptkbp:isOptimalFor |
mean-square error minimization
|
| gptkbp:namedAfter |
gptkb:Michel_Loève
Kari Karhunen |
| gptkbp:output |
orthogonal basis functions
uncorrelated variables |
| gptkbp:purpose |
data compression
feature extraction noise reduction decorrelation of random processes |
| gptkbp:relatedTo |
gptkb:principal_component_analysis
eigenvalue decomposition orthogonal transformation |
| gptkbp:requires |
covariance matrix
|
| gptkbp:bfsParent |
gptkb:Discrete_Cosine_Transform
|
| gptkbp:bfsLayer |
6
|