Cover Image

Multivariate Data-dependent Partition of Unity based on Moving Least Squares method

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Garcés, Inmaculada, Ruiz-Álvarez, Juan, Yáñez, Dionisio F.
Format:	Preprint
Published:	2026
Subjects:	Numerical Analysis 41A05, 41A10, 65D05, 65M06, 65N06
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Integrating Moving Least Squares with non-linear WENO method: A novel Partition of Unity approach in 1D
by: Garcés, Inmaculada, et al.
Published: (2025)

Multivariate Splines and Their Applications
by: Lai, Ming-Jun
Published: (2024)

Convergence and Near-optimal Sampling for Multivariate Function Approximations in Irregular Domains via Vandermonde with Arnoldi
by: Zhu, Wenqi, et al.
Published: (2023)

Superconvergence points of Hermite spectral interpolation
by: Wang, Haiyong, et al.
Published: (2025)

Randomized least-squares with minimal oversampling and interpolation in general spaces
by: Chkifa, Abdellah, et al.
Published: (2023)

Overlap Splines and Meshless Finite Difference Methods
by: Davydov, Oleg
Published: (2023)

On a nonlinear laplacian based filter for noise removal
by: Hoang, Nguyen S
Published: (2024)

$\mathcal{H}^2$-matrices for translation-invariant kernel functions
by: Börm, Steffen, et al.
Published: (2022)

Generalized $C^1$ quadratic B-splines generated by Merrien subdivision algorithm and some applications
by: Sablonniere, Paul
Published: (2004)

Compression using Quasi-Interpolation
by: Buhmann, Martin, et al.
Published: (2024)

Greedy Recombination Interpolation Method (GRIM)
by: Lyons, Terry, et al.
Published: (2022)

Scaling Optimized Spectral Approximations on Unbounded Domains: The Generalized Hermite and Laguerre Methods
by: Hu, Hao, et al.
Published: (2026)

On the critical length conjecture for spherical Bessel functions in CAGD
by: Kounchev, Ognyan, et al.
Published: (2025)

Exponential approximation space reconstruction WENO scheme for dispersive PDEs
by: Salian, Lavanya V, et al.
Published: (2023)

Convergence analysis of Hermite approximations for analytic functions
by: Wang, Haiyong, et al.
Published: (2023)

Manifold Data Imputation
by: Levin, David
Published: (2026)

An Optimal Weighted Least-Squares Method for Operator Learning
by: Turnage, John, et al.
Published: (2025)

Multivariate Generalized Hermite Subdivision Schemes
by: Han, Bin
Published: (2021)

Error Guarantees for Least Squares Approximation with Noisy Samples in Domain Adaptation
by: Bartel, Felix
Published: (2022)

A new analysis of empirical interpolation methods and Chebyshev greedy algorithms
by: Li, Yuwen
Published: (2024)

Quasi-interpolation for high-dimensional function approximation
by: Gao, Wenwu, et al.
Published: (2024)

Fast algorithms for interpolation with clamped $L$-splines of order four
by: Kounchev, O., et al.
Published: (2026)

Multivariate Vector Subdivision Schemes with a General Matrix-valued Filter
by: Lu, Ran
Published: (2025)

Non-Contrast CT Esophageal Varices Grading through Clinical Prior-Enhanced Multi-Organ Analysis
by: Zhang, Xiaoming, et al.
Published: (2025)

Latent Diffusion Autoencoders: Toward Efficient and Meaningful Unsupervised Representation Learning in Medical Imaging
by: Lozupone, Gabriele, et al.
Published: (2025)

Greedy Adaptive Local Recovery of Functions in Sobolev Spaces
by: Schaback, Robert
Published: (2024)

Deep ReLU networks and high-order finite element methods II: Chebyshev emulation
by: Opschoor, Joost A. A., et al.
Published: (2023)

Applications of QR-based Vector-Valued Rational Approximation
by: Dirckx, Simon
Published: (2026)

Hybrid hyperinterpolation over general regions
by: An, Congpei, et al.
Published: (2023)

Multivariate Interpolation in Unisolvent Nodes -- Lifting the Curse of Dimensionality
by: Hecht, Michael, et al.
Published: (2020)

Stable evaluation of derivatives for barycentric and continued fraction representations of rational functions
by: Driscoll, Tobin A., et al.
Published: (2026)

Inverse inequalities for kernel-based approximation on bounded domains and Riemannian manifolds
by: Sun, Zhengjie, et al.
Published: (2025)

Element-based B-spline basis function spaces: construction and application in isogeometric analysis
by: Yang, Peng, et al.
Published: (2026)

Optimal Transport-inspired Deep Learning Framework for Slow-Decaying Kolmogorov n-width Problems: Exploiting Sinkhorn Loss and Wasserstein Kernel
by: Khamlich, Moaad, et al.
Published: (2023)

Sparse and low-rank approximations of parametric elliptic PDEs: the best of both worlds
by: Bachmayr, Markus, et al.
Published: (2025)

Sectional Kolmogorov N-widths for parameter-dependent function spaces: A general framework with application to parametrized Friedrichs' systems
by: Engwer, Christian, et al.
Published: (2025)

Spherical configurations and quadrature methods for integral equations of the second kind
by: An, Congpei, et al.
Published: (2024)

Constructive Approximation of High-Dimensional Functions with Small Efficient Dimension with Applications in Uncertainty Quantification
by: Rieger, Christian, et al.
Published: (2024)

Hard thresholding hyperinterpolation over general regions
by: An, Congpei, et al.
Published: (2022)

A Bivariate Spline Construction of Orthonormal Polynomials over Polygonal Domains and Its Applications to Quadrature
by: Lai, Ming-Jun
Published: (2026)