Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:standard
|
| gptkbp:alsoKnownAs |
Euclidean norm
2-norm |
| gptkbp:application |
gptkb:signal_processing
data analysis optimization |
| gptkbp:definedIn |
gptkb:Vector
|
| gptkbp:distanceInduced |
Euclidean distance
|
| gptkbp:domain |
gptkb:complex_vector_space
finite-dimensional real vector space |
| gptkbp:form |
||x||_2 = sqrt(sum_i |x_i|^2)
|
| gptkbp:generalizes |
L^p-norm
|
| gptkbp:hasInvariant |
orthogonal transformations
|
| gptkbp:hasSpecialCase |
Lp-norm
|
| https://www.w3.org/2000/01/rdf-schema#label |
L^2-norm
|
| gptkbp:mapType |
non-negative real numbers
|
| gptkbp:property |
homogeneous
positive definite satisfies triangle inequality subadditive |
| gptkbp:reduces |
least squares error
|
| gptkbp:usedIn |
gptkb:machine_learning
functional analysis statistics linear algebra |
| gptkbp:bfsParent |
gptkb:L^2(X,_μ)
|
| gptkbp:bfsLayer |
7
|