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Partition of Unity Methods for Signal Processing on Graphs

The Journal of fourier analysis and applications, 2021-08, Vol.27 (4), Article 66

2021

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Spherical approximation of positive data by radial kernels

AIP Conference Proceedings, 2024, Vol.3094 (1)

2024

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Error indicators and refinement strategies for solving Poisson problems through a RBF partition of unity collocation scheme

Applied mathematics and computation, 2020-03, Vol.369, p.124824, Article 124824

2020

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An adaptive residual sub-sampling algorithm for kernel interpolation based on maximum likelihood estimations

Journal of computational and applied mathematics, 2023-01, Vol.418, p.114658, Article 114658

2023

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An adaptive LOOCV-based refinement scheme for RBF collocation methods over irregular domains

Applied mathematics letters, 2020-05, Vol.103, p.106178, Article 106178

2020

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Fast and flexible interpolation via PUM with applications in population dynamics

AIP Conference Proceedings, 2016, Vol.1738 (1)

2016

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Adaptive procedures for meshfree RBF unsymmetric and symmetric collocation methods

Applied mathematics and computation, 2020-10, Vol.382, p.125354, Article 125354

2020

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A Trivariate Interpolation Algorithm Using a Cube-Partition Searching Procedure

SIAM journal on scientific computing, 2015-01, Vol.37 (4), p.A1891-A1908

2015

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Bayesian approach for radial kernel parameter tuning

Journal of computational and applied mathematics, 2024-05, Vol.441, p.115716, Article 115716

2024

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Optimal Selection of Local Approximants in RBF-PU Interpolation

Journal of scientific computing, 2018, Vol.74 (1), p.1-22

2018

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An adaptive RBF-PUM algorithm for meshfree interpolation

AIP Conference Proceedings, 2024, Vol.3094 (1)

2024

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Node-bound communities for partition of unity interpolation on graphs

Applied mathematics and computation, 2024-04, Vol.467, p.128502, Article 128502

2024

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Parameter tuning in the radial kernel-based partition of unity method by Bayesian optimization

Journal of computational and applied mathematics, 2024-12, Vol.451, p.116108, Article 116108

2024

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Hermite–Birkhoff interpolation on scattered data on the sphere and other manifolds

Applied mathematics and computation, 2018-02, Vol.318, p.35-50

2018

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Positive constrained approximation via RBF-based partition of unity method

Journal of computational and applied mathematics, 2017-08, Vol.319, p.338-351

2017

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RBFCUB: A numerical package for near-optimal meshless cubature on general polygons

Applied mathematics letters, 2022-03, Vol.125, p.107704, Article 107704

2022

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Analyzing the effects of various isotropic and anisotropic kernels on critical heat flux prediction using Gaussian process regression

Engineering applications of artificial intelligence, 2024-07, Vol.133, p.108351, Article 108351

2024

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A meshless interpolation algorithm using a cell-based searching procedure

Computers & mathematics with applications (1987), 2014-03, Vol.67 (5), p.1024-1038

2014

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Spherical interpolation using the partition of unity method: An efficient and flexible algorithm

Applied mathematics letters, 2012-10, Vol.25 (10), p.1251-1256

2012

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Fast computation of triangular Shepard interpolants

Journal of computational and applied mathematics, 2019-07, Vol.354, p.457-470

2019

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Numerical cubature on scattered data by adaptive interpolation

Journal of computational and applied mathematics, 2024-07, Vol.444, p.115793, Article 115793

2024

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Fast and accurate interpolation of large scattered data sets on the sphere

Journal of computational and applied mathematics, 2010-07, Vol.234 (5), p.1505-1521

2010

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Robust Approximation Algorithms for the Detection of Attraction Basins in Dynamical Systems

Journal of scientific computing, 2016-07, Vol.68 (1), p.395-415

2016

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Topology analysis of global and local RBF transformations for image registration

Mathematics and computers in simulation, 2018-05, Vol.147, p.52-72

2018

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RBF-PU interpolation with variable subdomain sizes and shape parameters

AIP Conference Proceedings, 2016, Vol.1776 (1)

2016

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Partition of Unity Methods for Signal Processing on Graphs

Spherical approximation of positive data by radial kernels

Error indicators and refinement strategies for solving Poisson problems through a RBF partition of unity collocation scheme

An adaptive residual sub-sampling algorithm for kernel interpolation based on maximum likelihood estimations

An adaptive LOOCV-based refinement scheme for RBF collocation methods over irregular domains

Fast and flexible interpolation via PUM with applications in population dynamics

Adaptive procedures for meshfree RBF unsymmetric and symmetric collocation methods

A Trivariate Interpolation Algorithm Using a Cube-Partition Searching Procedure

Bayesian approach for radial kernel parameter tuning

Optimal Selection of Local Approximants in RBF-PU Interpolation

An adaptive RBF-PUM algorithm for meshfree interpolation

Node-bound communities for partition of unity interpolation on graphs

Parameter tuning in the radial kernel-based partition of unity method by Bayesian optimization

Hermite–Birkhoff interpolation on scattered data on the sphere and other manifolds

Positive constrained approximation via RBF-based partition of unity method

RBFCUB: A numerical package for near-optimal meshless cubature on general polygons

Analyzing the effects of various isotropic and anisotropic kernels on critical heat flux prediction using Gaussian process regression

A meshless interpolation algorithm using a cell-based searching procedure

Spherical interpolation using the partition of unity method: An efficient and flexible algorithm

Fast computation of triangular Shepard interpolants

Numerical cubature on scattered data by adaptive interpolation

Fast and accurate interpolation of large scattered data sets on the sphere

Robust Approximation Algorithms for the Detection of Attraction Basins in Dynamical Systems

Topology analysis of global and local RBF transformations for image registration

RBF-PU interpolation with variable subdomain sizes and shape parameters

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