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- Reproducing_kernel_Hilbert_space abstract "In functional analysis (a branch of mathematics), a reproducing kernel Hilbert space (RKHS) is a Hilbert space of functions in which pointwise evaluation is a continuous linear functional. Equivalently, they are spaces that can be defined by reproducing kernels. The subject was originally and simultaneously developed by Nachman Aronszajn (1907–1980) and Stefan Bergman (1895–1977) in 1950.In this article we assume that Hilbert spaces are complex. The main reason for this is that many of the examples of reproducing kernel Hilbert spaces are spaces of analytic functions, although some real Hilbert spaces also have reproducing kernels. A key motivation for reproducing kernel hilbert spaces in machine learning is the Representer theorem which says that any function in an RKHS that classifies a set of sample points can be defined as a linear combination of the canonical feature maps of those points.An important subset of the reproducing kernel Hilbert spaces are the reproducing kernel Hilbert spaces associated to a continuous kernel. These spaces have wide applications, including complex analysis, harmonic analysis, quantum mechanics, statistics and machine learning.".
- Reproducing_kernel_Hilbert_space thumbnail Different_Views_on_RKHS.png?width=300.
- Reproducing_kernel_Hilbert_space wikiPageExternalLink books.
- Reproducing_kernel_Hilbert_space wikiPageExternalLink kw71.pdf.
- Reproducing_kernel_Hilbert_space wikiPageID "651196".
- Reproducing_kernel_Hilbert_space wikiPageRevisionID "605710113".
- Reproducing_kernel_Hilbert_space hasPhotoCollection Reproducing_kernel_Hilbert_space.
- Reproducing_kernel_Hilbert_space subject Category:Hilbert_space.
- Reproducing_kernel_Hilbert_space comment "In functional analysis (a branch of mathematics), a reproducing kernel Hilbert space (RKHS) is a Hilbert space of functions in which pointwise evaluation is a continuous linear functional. Equivalently, they are spaces that can be defined by reproducing kernels. The subject was originally and simultaneously developed by Nachman Aronszajn (1907–1980) and Stefan Bergman (1895–1977) in 1950.In this article we assume that Hilbert spaces are complex.".
- Reproducing_kernel_Hilbert_space label "Noyau reproduisant".
- Reproducing_kernel_Hilbert_space label "Reproducing kernel Hilbert space".
- Reproducing_kernel_Hilbert_space sameAs Noyau_reproduisant.
- Reproducing_kernel_Hilbert_space sameAs m.02_nfg.
- Reproducing_kernel_Hilbert_space sameAs Q3345678.
- Reproducing_kernel_Hilbert_space sameAs Q3345678.
- Reproducing_kernel_Hilbert_space wasDerivedFrom Reproducing_kernel_Hilbert_space?oldid=605710113.
- Reproducing_kernel_Hilbert_space depiction Different_Views_on_RKHS.png.
- Reproducing_kernel_Hilbert_space isPrimaryTopicOf Reproducing_kernel_Hilbert_space.
