Sampling discretization error of integral norms for function classes
From MaRDI portal
Publication:2274411
DOI10.1016/j.jco.2019.05.002OpenAlexW2945291177WikidataQ127860997 ScholiaQ127860997MaRDI QIDQ2274411
Publication date: 19 September 2019
Published in: Journal of Complexity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.07126
Related Items
Remarks on sampling discretization of integral norms of functions, Sampling discretization error of integral norms for function classes with small smoothness, Worst-case recovery guarantees for least squares approximation using random samples, Marcinkiewicz-type discretization of \(L^p\)-norms under the Nikolskii-type inequality assumption, \(L_2\)-norm sampling discretization and recovery of functions from RKHS with finite trace
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The entropy in learning theory. Error estimates
- Entropy numbers, s-numbers, and eigenvalue problems
- The Marcinkiewicz-type discretization theorems
- Function spaces with dominating mixed smoothness
- On the complexity of computing the \(L_q\) norm
- A distribution-free theory of nonparametric regression
- Some nonlinear problems are as easy as the approximation problem
- Greedy approximation with regard to non-greedy bases
- Approximation methods for supervised learning
- On the mathematical foundations of learning
- The Marcinkiewicz-type discretization theorems for the hyperbolic cross polynomials
- Multivariate Approximation
- Observations on discretization of trigonometric polynomials with given spectrum