Truncation Dimension for Function Approximation
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Publication:4611827
DOI10.1007/978-3-319-72456-0_34zbMath1405.65021arXiv1610.02852OpenAlexW2531112751MaRDI QIDQ4611827
Peter Kritzer, Friedrich Pillichshammer, Grzegorz W. Wasilkowski
Publication date: 22 January 2019
Published in: Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.02852
Related Items (3)
Effective Dimension of Some Weighted Pre-Sobolev Spaces with Dominating Mixed Partial Derivatives ⋮ Quasi-Monte Carlo and \(\varepsilon\)-truncation dimension in ANOVA spaces ⋮ \( \varepsilon \)-superposition and truncation dimensions in average and probabilistic settings for \(\infty \)-variate linear problems
Cites Work
- Very low truncation dimension for high dimensional integration under modest error demand
- A note on equivalence of anchored and ANOVA spaces; lower bounds
- On equivalence of weighted anchored and ANOVA spaces of functions with mixed smoothness of order one in \(L_1\) or \(L_\infty\)
- When are quasi-Monte Carlo algorithms efficient for high dimensional integrals?
- On embeddings of weighted tensor product Hilbert spaces
- Equivalence of weighted anchored and ANOVA spaces of functions with mixed smoothness of order one in \(L_p\)
- Embeddings of weighted Hilbert spaces and applications to multivariate and infinite-dimensional integration
- Tractability of approximation of \(\infty\)-variate functions with bounded mixed partial derivatives
- On decompositions of multivariate functions
- Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic Partial Differential Equations with Random Coefficients
- Equivalence of anchored and ANOVA spaces via interpolation
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