Representer theorem information

For computer science, in statistical learning theory, a representer theorem is any of several related results stating that a minimizer f ∗ {\displaystyle...

the field of statistical learning theory because of the celebrated representer theorem which states that every function in an RKHS that minimises an empirical...

requires a finite dimensional matrix from user-input according to the Representer theorem. Kernel machines are slow to compute for datasets larger than a couple...

respectively). Kolmogorov–Arnold representation theorem Representer theorem No free lunch theorem Stone–Weierstrass theorem Fourier series Hornik, Kurt; Stinchcombe...

Representability in mathematics can refer to the existence of a representable functor in category theory Birch's theorem about the representability of...

contravariant functor from C to Set. Brown's representability theorem in algebraic topology says that this functor is represented by a CW-complex K(Z,n) called an...

impossible to search the entire space for a solution. Instead, a representer theorem shows that under certain conditions on the choice of the norm ‖ f...

In probability theory, the central limit theorem (CLT) states that, under appropriate conditions, the distribution of a normalized version of the sample...

In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle...

functional analysis, a spectral theorem is a result about when a linear operator or matrix can be diagonalized (that is, represented as a diagonal matrix in some...

implicit function theorem is a tool that allows relations to be converted to functions of several real variables. It does so by representing the relation as...

Several theorems are named after Karl Weierstrass. These include: The Weierstrass approximation theorem, of which one well known generalization is the...

positive-definite matrix K {\displaystyle \mathbf {K} } . By the representer theorem, f ( x i ) = ∑ j = 1 n c j K i j ,  and  ‖ f ‖ H 2 = ⟨ f , f ⟩ H...

In mathematical analysis, the intermediate value theorem states that if f {\displaystyle f} is a continuous function whose domain contains the interval...

In mathematics, the Chinese remainder theorem states that if one knows the remainders of the Euclidean division of an integer n by several integers, then...

^{\dagger }} It is possible, though non-trivial, to show that a representer theorem also holds for Tikhonov regularization in the vector-valued setting...

the estimator in equation (1) is derived in two steps. First, the representer theorem states that the minimizer of the functional (2) can always be written...

In mathematics, the four color theorem, or the four color map theorem, states that no more than four colors are required to color the regions of any map...