Learning a function from noisy samples at a finite sparse set of points
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Publication:1048968
DOI10.1016/j.jat.2008.11.003zbMath1205.94061OpenAlexW2028550852MaRDI QIDQ1048968
Friedrich Pillichshammer, Andreas Hofinger
Publication date: 8 January 2010
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2008.11.003
Learning and adaptive systems in artificial intelligence (68T05) Sampling theory in information and communication theory (94A20)
Related Items (2)
Nonlinear function approximation: computing smooth solutions with an adaptive greedy algorithm ⋮ The weight-decay technique in learning from data: an optimization point of view
Cites Work
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- Bounds for the weighted \(L^p\) discrepancy and tractability of integration
- Nonlinear function approximation: computing smooth solutions with an adaptive greedy algorithm
- A simple lemma on greedy approximation in Hilbert space and convergence rates for projection pursuit regression and neural network training
- When are quasi-Monte Carlo algorithms efficient for high dimensional integrals?
- Generalization bounds for function approximation from scattered noisy data
- Rates of convex approximation in non-Hilbert spaces
- Nonlinear methods of approximation
- Regularized greedy algorithms for network training with data noise
- Regularization networks and support vector machines
- Approximation methods for supervised learning
- Approximation in learning theory
- Über die Diskrepanz mehrdimensionaler Folgen mod 1
- On the mathematical foundations of learning
- Weighted Interpolation Inequalities of Sum and Product form in R n
- Asymptotic Theory of Filtering for Linear Operator Equations with Discrete Noisy Data
- Universal approximation bounds for superpositions of a sigmoidal function
- Comparisons of parameter choice methods for regularization with discrete noisy data
- Weighted Sobolev interpolation inequalities on product spaces
- Regularized data-driven construction of fuzzy controllers
- Shannon sampling and function reconstruction from point values
- On tractability of weighted integration over bounded and unbounded regions in ℝ^{𝕤}
- Convergence Rates of Approximate Least Squares Solutions of Linear Integral and Operator Equations of the First Kind
- Some applications of multidimensional integration by parts
- Equivalent Norms for Sobolev Spaces
- Consistency and rates of convergence of nonlinear Tikhonov regularization with random noise
- Theory of Reproducing Kernels
- Error bounds for approximation with neural networks
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