English-Russian Dictionary on Probability, Statistics, and Combinatorics. — Philadelphia and Moscow. Society for Industrial and Applied Mathematics and TVP Science Publishers. K. A. Borovkov. 1994.
Reproducing kernel Hilbert space — In functional analysis (a branch of mathematics), a reproducing kernel Hilbert space 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 … Wikipedia
Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… … Wikipedia
Kernel principal component analysis — (kernel PCA) is an extension of principal component analysis (PCA) using techniques of kernel methods. Using a kernel, the originally linear operations of PCA are done in a reproducing kernel Hilbert space with a non linear mapping.ExampleThe two … Wikipedia
Kernel trick — In machine learning, the kernel trick is a method for using a linear classifier algorithm to solve a non linear problem by mapping the original non linear observations into a higher dimensional space, where the linear classifier is subsequently… … Wikipedia
Kernel (mathematics) — In mathematics, the word kernel has several meanings. Kernel may mean a subset associated with a mapping:* The kernel of a mapping is the set of elements that map to the zero element (such as zero or zero vector), as in kernel of a linear… … Wikipedia
Positive definite kernel — In operator theory, a positive definite kernel is a generalization of a positive matrix. Definition Let :{ H n } {n in {mathbb Z be a sequence of (complex) Hilbert spaces and :mathcal{L}(H i, H j)be the bounded operators from Hi to Hj . A map A… … Wikipedia
Abstract Wiener space — An abstract Wiener space is a mathematical object in measure theory, used to construct a decent (strictly positive and locally finite) measure on an infinite dimensional vector space. It is named after the American mathematician Norbert Wiener.… … Wikipedia
RKHS — Reproducing Kernel Hilbert Space ( > IEEE Standard Dictionary ) … Acronyms
RKHS — Reproducing Kernel Hilbert Space ( > IEEE Standard Dictionary ) … Acronyms von A bis Z
Coherent states in mathematical physics — Coherent states have been introduced in a physical context, first as quasi classical states in quantum mechanics, then as the backbone of quantum optics and they are described in that spirit in the article Coherent states (see also [1]). However … Wikipedia
Nevanlinna–Pick interpolation — In complex analysis, Nevanlinna–Pick interpolation is the problem of finding a holomorphic function from the unit disc to the unit disc (denoted ), which takes specified points to specified points. Equivalently, it is the problem of finding a… … Wikipedia
