reproducing kernel Hilbert space

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:mathematical_concept
gptkbp:abbreviation	gptkb:RKHS
gptkbp:application	learning theory approximation theory interpolation regularization nonparametric statistics inverse problems
gptkbp:basisFor	orthonormal basis
gptkbp:category	topological vector space function space
gptkbp:characterizedBy	reproducing kernel
gptkbp:example	gptkb:Hardy_space gptkb:Bergman_space gptkb:Sobolev_space gptkb:Paley–Wiener_space
gptkbp:field	gptkb:mathematics functional analysis
gptkbp:heldBy	gptkb:Hilbert_space
https://www.w3.org/2000/01/rdf-schema#label	reproducing kernel Hilbert space
gptkbp:introduced	gptkb:Nachman_Aronszajn 1950
gptkbp:property	pointwise evaluation is continuous linear functional evaluation functional is continuous functions defined on a set X inner product defined by kernel every function in the space can be written as a linear combination of kernels
gptkbp:relatedTo	gptkb:Mercer's_theorem gptkb:Gaussian_process gptkb:Moore-Aronszajn_theorem support vector machine kernel trick
gptkbp:used_in	gptkb:machine_learning gptkb:signal_processing statistics
gptkbp:bfsParent	gptkb:kernel_methods
gptkbp:bfsLayer	5