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gptkbp:instanceOf
|
matrix norm
|
|
gptkbp:alsoKnownAs
|
gptkb:Schur_norm
|
|
gptkbp:appliesTo
|
matrices
|
|
gptkbp:defines
|
the square root of the sum of the absolute squares of its elements
|
|
gptkbp:equivalentTo
|
square root of the sum of the singular values squared
square root of the trace of A*A^T
|
|
gptkbp:hasInvariant
|
orthogonal transformations
|
|
gptkbp:hasSpecialCase
|
gptkb:Schatten_p-norm_(p=2)
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Frobenius norm
|
|
gptkbp:isConsistentWith
|
gptkb:Hilbert–Schmidt_norm
|
|
gptkbp:isInducedBy
|
inner product on matrices
|
|
gptkbp:isNormOn
|
space of m x n matrices
|
|
gptkbp:isSubmultiplicative
|
true
|
|
gptkbp:isUnitarilyInvariant
|
true
|
|
gptkbp:isUnitaryInvariant
|
true
|
|
gptkbp:namedAfter
|
gptkb:Ferdinand_Georg_Frobenius
|
|
gptkbp:notation
|
||A||_F
|
|
gptkbp:subordinateUnit
|
Euclidean norm
|
|
gptkbp:usedIn
|
gptkb:machine_learning
gptkb:signal_processing
gptkb:quantum_information_theory
control theory
statistics
numerical linear algebra
regularization
matrix approximation
|
|
gptkbp:bfsParent
|
gptkb:Ferdinand_Georg_Frobenius
gptkb:Linear_algebra
|
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gptkbp:bfsLayer
|
5
|