List questions from reproducing-kernel-hilbert-spaces

Published on 03 Feb 2017 - 17:45

337

Views

Linear kernel is strictly positive definite, but corresponding RKHS in not dense in C(R)?

Published on 08 Feb 2017 - 22:53

230

Views

Why is $\mathbb{R}^3$ not the Reproducing Kernel Hilbert Space defined by kernel $k(x,y)=(x_1y_1+x_2y_2)^2$

Published on 11 Mar 2017 - 18:55

705

Views

Completion of span in $C(X)$ (RKHS)

Published on 03 Apr 2017 - 18:58

143

Views

Are elements of the reproducing kernel Hilbert space of a Gaussian measure centered?

Published on 02 Feb 2023 - 4:46

161

Views

Polyharmonic interpolation with mixed boundary conditions, variational formulation?

Published on 09 Feb 2023 - 14:54

198

Views

Can we consider the projection from $L_2$ to RKHS $H$?

Published on 14 Feb 2023 - 21:11

102

Views

What are the applications of reproducing kernel Hilbert spaces? (outside of statistics/machine learning)

Published on 24 Feb 2023 - 11:07

202

Views

A complete orthonormal basis for every RKHS?

Published on 28 Feb 2023 - 17:11

73

Views

Can I assume that a unknown function has a bounded norm in the corresponding RKHS

Published on 01 Mar 2023 - 11:30

238

Views

What is the RKHS associated with the polynomial kernel?

Published on 02 Mar 2023 - 12:07

264

Views

RKHS and the Kernel Trick seen in Machine Learning

Published on 12 Mar 2023 - 19:13

50

Views

Show that $K(u)=\sum_{k=0}^r P_k(0) P_k(u) \mathbf{1}_{\{|u| \leq 1\}}$ is a kernel of order $r$

Published on 16 Mar 2023 - 21:29

185

Views

Sherman-Morrison formula to update the the inverse of a growing matrix in a iterative way

Published on 17 Mar 2023 - 11:45

39

Views

Meaning of product-like construction in Hilbert space

Published on 07 Apr 2023 - 16:29

List Question

Reproducing kernel vs. Riesz kernel.

Linear kernel is strictly positive definite, but corresponding RKHS in not dense in C(R)?

Why is $\mathbb{R}^3$ not the Reproducing Kernel Hilbert Space defined by kernel $k(x,y)=(x_1y_1+x_2y_2)^2$

Completion of span in $C(X)$ (RKHS)

Are elements of the reproducing kernel Hilbert space of a Gaussian measure centered?

Polyharmonic interpolation with mixed boundary conditions, variational formulation?

Can we consider the projection from $L_2$ to RKHS $H$?

What are the applications of reproducing kernel Hilbert spaces? (outside of statistics/machine learning)

A complete orthonormal basis for every RKHS?

Can I assume that a unknown function has a bounded norm in the corresponding RKHS

What is the RKHS associated with the polynomial kernel?

RKHS and the Kernel Trick seen in Machine Learning

Show that $K(u)=\sum_{k=0}^r P_k(0) P_k(u) \mathbf{1}_{\{|u| \leq 1\}}$ is a kernel of order $r$

Sherman-Morrison formula to update the the inverse of a growing matrix in a iterative way

Meaning of product-like construction in Hilbert space

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