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Bayesian interpolation [PDF]

open access: yesNeural Computation, 1992
Although Bayesian analysis has been in use since Laplace, the Bayesian method of model-comparison has only recently been developed in depth. In this paper, the Bayesian approach to regularization and model-comparison is demonstrated by studying the ...
MacKay, David J. C.
core   +7 more sources

Stein interpolation for the real interpolation method [PDF]

open access: yesBanach Journal of Mathematical Analysis, 2021
AbstractWe prove a complex formulation of the real interpolation method, showing that the real and complex interpolation methods are not inherently real or complex. Using this complex formulation, we prove Stein interpolation for the real interpolation method.
Nick Lindemulder, Emiel Lorist
openaire   +6 more sources

The constant of interpolation [PDF]

open access: yesPacific Journal of Mathematics, 2004
We prove that a suitably adjusted version of Peter Jones' formula for interpolation by bounded holomorphic functions gives a sharp upper bound for what is known as the constant of interpolation. We show how this leads to precise and computable numerical bounds for this constant.
Nicolau, Artur   +2 more
openaire   +4 more sources

On nonlinear interpolation [PDF]

open access: yesProceedings of the American Mathematical Society, 2015
In a case study on asymptotics of spectral quantities of Schr dinger operators we show how the Riesz-Thorin theorem on the interpolation of linear operators can be extended to nonlinear maps.
Kappeler, Thomas, Topalov, Peter
openaire   +3 more sources

Probability and Interpolation [PDF]

open access: yesTransactions of the American Mathematical Society, 1981
An m × n m \times n matrix E E with n n ones and ( m − 1 ) n (m - 1)n zeros, which satisfies the Pólya condition, may be regular and singular for Birkhoff interpolation. We prove that for random distributed ones,
R. A. Lorentz, George G. Lorentz
openaire   +1 more source

A nonsymmetric version of Okounkov's BC-type interpolation Macdonald polynomials [PDF]

open access: yes, 2019
Symmetric and nonsymmetric interpolation Laurent polynomials are introduced with the interpolation points depending on $q$ and a $n$-tuple of parameters $\tau=(\tau_1,\ldots,\tau_n)$.
Disveld, Niels   +2 more
core   +2 more sources

To interpolate or not to interpolate: Subjective assessment of interpolation performance on a light field display [PDF]

open access: yes2017 IEEE International Conference on Multimedia & Expo Workshops (ICMEW), 2017
Interpolating virtual views from sparse visual content increases the angular resolution of the visualization. However, such techniques may degrade the image quality through inaccurate view estimation. The smooth motion parallax through increased angular resolution, and image quality are essential components of the overall user experience. The choice of
Cserkaszky, Aron   +3 more
openaire   +2 more sources

Distance in spatial interpolation of daily rain gauge data [PDF]

open access: yes, 2005
Spatial interpolation of rain gauge data is important in forcing of hydrological simulations or evaluation of weather predictions, for example. The spatial density of available data sites is often changing with time.
Ahrens, Bodo
core   +3 more sources

Research in the Interpolation Representations of Stochastic Processes in the Two Types of Interpolation Knots [PDF]

open access: yes, 2017
The article deals with some interpolation representations of stochastic processes with non-equidistance interpolation knots. Research is based on observations of the process and its derivatives of the first and second orders at some types of knots and ...
Verovkina, G. (Ganna)
core   +2 more sources

Quasi-interpolations with interpolation property

open access: yesJournal of Computational and Applied Mathematics, 2004
AbstractInterpolation and quasi-interpolation are very important methods for function approximation. But both of them have their respective disadvantages. The interpolation function can fit the given sample points, but some oscillation may arise as in the case of the Lagrange interpolation.
Jing-Xin Wang, Ren-Hong Wang
openaire   +2 more sources

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