Timeline for Properties of a kernel convolution $K'(x,y) = \int_X\int_X K_0(x,a)K(a,b)K_0(b,y)d\mu(a)d\mu(b)$ where $K$ and $K_0$ are kernels on $(X,\mu)$
Current License: CC BY-SA 4.0
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| when toggle format | what | by | license | comment | |
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| Feb 21, 2022 at 7:22 | comment | added | dohmatob | It does helps very much. Thanks. | |
| Feb 18, 2022 at 10:48 | comment | added | Markus Lange-Hegermann | Not sure if this helps or is well-known to you anyway. Let $H$ resp. $\tilde{H}$ the RKHS of $K$ resp. $\tilde{K}$. I would expect that $\tilde{H}=\{\int_X K_0(x,a)f(a)d\mu(a) \mid f\in H\}$ to hold under mild assumptions. At least such results hold for differentiation and several other linear operators, see e.g. arxiv.org/abs/1801.09197 or Lemma 2.2 in arxiv.org/abs/2002.00818. | |
| Feb 15, 2022 at 14:28 | history | asked | dohmatob | CC BY-SA 4.0 |