functional analysis (a branch of mathematics), a reproducing kernel Hilbert space (RKHS) is a Hilbert space of functions in which point evaluation is a continuous...
32 KB (6,079 words) - 12:47, 27 May 2024
)\,.} A Bergman space is an example of a reproducing kernel Hilbert space, which is a Hilbert space of functions along with a kernel K(ζ, z) that verifies...
128 KB (17,476 words) - 16:39, 21 April 2024
first define a reproducing kernel Hilbert space (RKHS): Definition: Space H {\displaystyle H} is called a reproducing kernel Hilbert space if the evaluation...
23 KB (4,244 words) - 15:12, 27 May 2024
kernel methods. Using a kernel, the originally linear operations of PCA are performed in a reproducing kernel Hilbert space. Recall that conventional...
9 KB (1,338 words) - 05:17, 19 May 2024
Mercer's theorem (redirect from Semi-definite kernel)
the Hilbert space theory of stochastic processes, for example the Karhunen–Loève theorem; and it is also used in the reproducing kernel Hilbert space theory...
11 KB (1,783 words) - 18:47, 5 May 2024
Positive-definite kernel, a generalization of a positive-definite matrix Kernel trick, in statistics Reproducing kernel Hilbert space Seed, inside the...
3 KB (373 words) - 05:54, 26 May 2024
holomorphic. If p = 2, then Ap(D) is a reproducing kernel Hilbert space, whose kernel is given by the Bergman kernel. If the domain D is bounded, then the...
10 KB (1,461 words) - 01:08, 6 September 2023
Bayesian point of view is easily proved in cases where the reproducing kernel Hilbert space is finite-dimensional. The infinite-dimensional case raises...
17 KB (2,737 words) - 11:27, 4 September 2023
element of a reproducing kernel Hilbert space (RKHS). A generalization of the individual data-point feature mapping done in classical kernel methods, the...
55 KB (9,756 words) - 03:05, 3 June 2024
Representer theorem (category Hilbert spaces)
risk functional defined over a reproducing kernel Hilbert space can be represented as a finite linear combination of kernel products evaluated on the input...
14 KB (2,792 words) - 01:42, 13 November 2023