Quasi-interpolation for high-dimensional function approximation

Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Algorithms for approximation of functions (65D15) Fourier series and coefficients in several variables (42B05) Approximation by other special function classes (41A30)

Cites Work

Sparse high-dimensional FFT based on rank-1 lattice sampling
Sampling and cubature on sparse grids based on a B-spline quasi-interpolation
Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988
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Effortless quasi-interpolation in hierarchical spaces
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Periodization strategy may fail in high dimensions
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Quasi-Interpolation
A Method for Dimensionally Adaptive Sparse Trigonometric Interpolation of Periodic Functions
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Sparse grids
High-dimensional integration: The quasi-Monte Carlo way
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Multilevel quasi-interpolation
A Fourier-based machine learning technique with application in engineering
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