Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:appearsIn |
gptkb:Hilbert_space_theory
gptkb:reproducing_kernel_Hilbert_space support vector machines feature space |
| gptkbp:defines |
matrix of all possible inner products of a set of vectors
|
| gptkbp:determinant |
zero if and only if vectors are linearly dependent
|
| gptkbp:dimensions |
n x n for n vectors
|
| gptkbp:entriesAre |
inner products
|
| gptkbp:field |
complex numbers
real numbers |
| gptkbp:generalizes |
dot product
|
| gptkbp:heldBy |
symmetric
positive semi-definite |
| https://www.w3.org/2000/01/rdf-schema#label |
Gram matrix
|
| gptkbp:namedAfter |
gptkb:Jørgen_Pedersen_Gram
|
| gptkbp:property |
rank equals the dimension of the span of the vectors
eigenvalues are non-negative |
| gptkbp:relatedTo |
covariance matrix
kernel matrix |
| gptkbp:usedFor |
gptkb:principal_component_analysis
gptkb:kernel_methods computing volumes determining linear independence |
| gptkbp:usedIn |
gptkb:machine_learning
statistics linear algebra |
| gptkbp:bfsParent |
gptkb:Euclidean_space
|
| gptkbp:bfsLayer |
5
|