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Variably scaled kernels: an overview (Q6556658)

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scientific article; zbMATH DE number 7866436

Language	Label	Description	Also known as
English	Variably scaled kernels: an overview	scientific article; zbMATH DE number 7866436

Statements

scholarly article

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Variably scaled kernels: an overview (English)

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Dolomites Research Notes on Approximation

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publication date

17 June 2024

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MaRDI profile type

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High order approximation to non-smooth multivariate functions

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Approximation of piecewise smooth functions and images by edge-adapted (ENO-EA) nonlinear multiresolution techniques

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Polynomial Fitting for Edge Detection in Irregularly Sampled Signals and Images

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Non-regular Surface Approximation

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Interpolation by basis functions of different scales and shapes

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Interpolation with variably scaled kernels

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Adaptive interpolation by scaled multiquadrics

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The detection and recovery of discontinuity curves from scattered data

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Fault and gradient fault detection and reconstruction from scattered data

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A stable meshfree PDE solver for source-type flows in porous media

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Data-driven extrapolation via feature augmentation based on variably scaled thin plate splines

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Learning via variably scaled kernels

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On the search of the shape parameter in radial basis functions using univariate global optimization methods

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Optimal selection of local approximants in RBF-PU interpolation

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On variable and random shape Gaussian interpolations

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Detecting and approximating fault lines from randomly scattered data

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Mapped polynomials and discontinuous kernels for Runge and Gibbs phenomena

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Shape-Driven Interpolation With Discontinuous Kernels: Error Analysis, Edge Extraction, and Applications in Magnetic Particle Imaging

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A Rescaled Method for RBF Approximation

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Jumping with variably scaled discontinuous kernels (VSDKs)

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Multivariate approximation at fake nodes

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Fast and stable rational RBF-based partition of unity interpolation

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RBF-based partition of unity methods for elliptic PDEs: adaptivity and stability issues via variably scaled kernels

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The method of variably scaled radial kernels for solving two-dimensional magnetohydrodynamic (MHD) equations using two discretizations: the Crank-Nicolson scheme and the method of lines (MOL)

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Interpolation in the limit of increasingly flat radial basis functions

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Stable Evaluation of Gaussian Radial Basis Function Interpolants

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On choosing ``optimal'' shape parameters for RBF approximation

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Stable Computations with Gaussian Radial Basis Functions

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Stable computation of multiquadric interpolants for all values of the shape parameter

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Some observations regarding interpolants in the limit of flat radial basis functions

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The Runge phenomenon and spatially variable shape parameters in RBF interpolation

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Approximation of surfaces with fault(s) and/or rapidly varying data, using a segmentation process, \(D^{m}\)-splines and the finite element method

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Improved accuracy of multiquadric interpolation using variable shape parameters

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Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions

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Convergence of Increasingly Flat Radial Basis Interpolants to Polynomial Interpolants

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Kernel-based adaptive approximation of functions with discontinuities

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A stochastic extended Rippa's algorithm for LpOCV

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Spline approximation of discontinuous multivariate functions from scattered data

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Vertical and oblique fault detection in explicit surfaces

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The extension of Rippa's algorithm beyond LOOCV

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Local variably scaled Newton basis functions collocation method for solving Burgers' equation

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Feature augmentation for the inversion of the Fourier transform with limited data

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An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation

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Edge detection methods based on RBF interpolation

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Interpolating functions with gradient discontinuities via variably scaled kernels

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Multivariate interpolation by polynomials and radial basis functions

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Limit problems for interpolation by analytic radial basis functions

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An alternative procedure for selecting a good value for the parameter \(c\) in RBF-interpolation

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Scattered Data Approximation

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A Shearlet Approach to Edge Analysis and Detection

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Identifiers

zbMATH Open document ID

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10.14658/pupj-drna-2022-4-6

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6556658

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