Nonlinear Approximation with Local Fourier Bases
By Karlheinz Gröchenig, S. Samarah. 2000
62 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computer Vision and Pattern Recognition, Signal Processing
View Paper: https://www.semanticscholar.org/paper/ceec45964c67cbe11950d4d576447ec9ecee595e
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Morten Nielsen
- Lasse Borup
- Karlheinz Gröchenig
- Ziemowit Rzeszotnik
- Stephan Dahlke
- Gabriele Steidl
- Gerd Teschke
- Christopher Heil
In Computer Vision and Pattern Recognition
- Ziemowit Rzeszotnik
- Morten Nielsen
- Lasse Borup
- Karlheinz Gröchenig
- Stephan Dahlke
- Gabriele Steidl
- Gerd Teschke
- Matthieu Kowalski
In Signal Processing
- Ziemowit Rzeszotnik
- Morten Nielsen
- Lasse Borup
- Karlheinz Gröchenig
- Gitta Kutyniok
- Matthieu Kowalski
- Stephan Dahlke
- Gabriele Steidl
Citations in the corpus
- Sparse regression using mixed norms (2009, background): “with Besov spaces, the roles of the two indices are interchanged [ 16 ].”
- A Mathematical Theory of Deep Convolutional Neural Networks for Feature Extraction (2015, background): “Semi-discrete Weyl-Heisenberg (Gabor) frames: Weyl-Heisenberg frames [72]–[75] are well-suited to the extraction of sinusoidal features [76], and have been applied successfully in various practical feature extraction tasks [54], [77].”
- Nonlinear Approximation with Dictionaries I. Direct Estimates (2004, unknown): “Consider, for example, the case of D 1 a wavelet basis and D 2 a local Fourier basis [4, 9] in X = L 2 ( R ) . respectively ατ ( The individual sparsity spaces are, K ττ ( D 1 , X) = B ατ (L τ ( R )) = A 1 , X) and K ττ ( 2 , X) = M τ ( R ) = A ατ ( 2 , X) [22, Theorem 2].”
- Coorbit space theory for quasi-Banach spaces (2005, unknown): “also [14] for approximation with local Fourier bases.”
- Banach algebras of pseudodifferential operators and their almost diagonalization (2007, background): “, [31] for a derivation of this estimate).”
- Shearlet coorbit spaces and associated Banach frames (2009, methodology): “In this paper, we show that similar to Gabor frames [17] the approximation order of best n-term approximation schemes based on shearlet frames depends on the smoothness of the signal as measured in a second shearlet coorbit space.”
- Frame Decomposition of Decomposition Spaces (2007, background): “The connection between nonlinear approximation properties and sparse expansions has been studied from an abstract point of view in a number of papers, see for example [34, 15, 26, 29, 30].”
- Modulation Spaces: Looking Back and Ahead (2006, unknown): “[123]).”