Generalized approximate weak greedy algorithms
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Publication:2577360
DOI10.1007/s11006-005-0113-0zbMath1085.65046OpenAlexW2000625016MaRDI QIDQ2577360
E. D. Livshits, Vladimir V. Galatenko
Publication date: 19 December 2005
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11006-005-0113-0
convergencenonlinear approximationmatching pursuitdictionaryorthonormal system in Hilbert spacepure greedy algorithms
General theory of numerical analysis in abstract spaces (65J05) Algorithms for approximation of functions (65D15) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)
Related Items (12)
Sharp sufficient condition for the convergence of greedy expansions with errors in coefficient computation ⋮ Convergence of orthogonal greedy algorithm with errors in projectors ⋮ Comparison of the convergence rate of pure greedy and orthogonal greedy algorithms ⋮ Unified error estimate for weak biorthogonal Greedy algorithms ⋮ On the convergence of orthorecursive expansions in nonorthogonal wavelets ⋮ Greedy expansions with prescribed coefficients in Hilbert spaces ⋮ On \(n\)-term approximation with positive coefficients ⋮ Frames as continuous redundant codes ⋮ The Absolute Stability of Orthorecursive Expansions in Redundant Systems of Subspaces ⋮ Sharp conditions for the convergence of greedy expansions with prescribed coefficients ⋮ A unified way of analyzing some greedy algorithms ⋮ Efficiency of the weak Rescaled Pure Greedy Algorithm
Cites Work
- On a conjecture of Huber concerning the convergence of projection pursuit regression
- A simple lemma on greedy approximation in Hilbert space and convergence rates for projection pursuit regression and neural network training
- A criterion for convergence of weak greedy algorithms
- Weak greedy algorithms
- Remarks on projection pursuit regression and density estimation
- Matching pursuits with time-frequency dictionaries
- Approximate weak greedy algorithms
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