Nonlinear Kolmogorov widths
From MaRDI portal
Publication:1280612
DOI10.1007/BF02312773zbMath0917.41016MaRDI QIDQ1280612
Publication date: 15 March 1999
Published in: Mathematical Notes (Search for Journal in Brave)
Related Items
Greedy algorithm with regard to the needlet system on the sphere, Kolmogorov width of discrete linear spaces: an approach to matrix rigidity, Nonlinear trigonometric approximations of multivariate function classes, Greedy approximation of characteristic functions, An inequality for the entropy numbers and its application, Non-linear manifold reduced-order models with convolutional autoencoders and reduced over-collocation method, Reduced order modeling for elliptic problems with high contrast diffusion coefficients, Sparse Approximation by Greedy Algorithms, Best \(m\)-term approximation and Sobolev-Besov spaces of dominating mixed smoothness -- the case of compact embeddings, Continuous algorithms in \(n\)-term approximation and nonlinear widths, Breaking the curse of dimensionality in sparse polynomial approximation of parametric PDEs, Linear versus non-linear acquisition of step-functions, Randomized linear algebra for model reduction. II: Minimal residual methods and dictionary-based approximation, Nonlinear methods for model reduction, Sampling, Metric Entropy, and Dimensionality Reduction, Nonlinear Reduced Models for State and Parameter Estimation, Universal bases and greedy algorithms for anisotropic function classes
Cites Work
- Entropy numbers, s-numbers, and eigenvalue problems
- Nonlinear approximation by trigonometric sums
- On best \(m\)-term approximations and the entropy of sets in the space \(L^ 1\)
- Estimate of approximate characteristics for classes of functions with bounded mixed derivative
- Approximation of functions of several variables by trigonometric polynomials with given number of harmonics, and estimates of \(\epsilon\)- entropy
- Metric entropy and approximation
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
