Statements (27)
Predicate | Object |
---|---|
gptkbp:instanceOf |
mathematical operation
|
gptkbp:alsoKnownAs |
gptkb:Hadamard_product
|
gptkbp:appliesTo |
matrices
vectors |
gptkbp:associative |
true
|
gptkbp:commutative |
true
|
gptkbp:defines |
(A ∘ B)_{ij} = A_{ij} B_{ij}
|
gptkbp:dimensions |
matrices must have same dimensions
|
gptkbp:distributiveOver |
matrix addition
|
gptkbp:field |
linear algebra
|
https://www.w3.org/2000/01/rdf-schema#label |
Schur product
|
gptkbp:identityElement |
matrix of all ones
|
gptkbp:introduced |
gptkb:Jacques_Hadamard
gptkb:Issai_Schur |
gptkbp:notation |
A ∘ B
A * B |
gptkbp:operator |
element-wise multiplication
|
gptkbp:relatedTo |
gptkb:Kronecker_product
gptkb:Hadamard_inequality matrix multiplication |
gptkbp:usedIn |
gptkb:machine_learning
gptkb:signal_processing gptkb:quantum_information_theory statistics |
gptkbp:zeroElement |
zero matrix
|
gptkbp:bfsParent |
gptkb:Schur_norm
|
gptkbp:bfsLayer |
7
|