Full length article: Compactly supported shearlets are optimally sparse

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An introduction to continuous optimization for imaging (2016, methodology): “Let us show an example using the discrete shearlet transform, since it has been shown to provide optimal sparse approximations for cartoon-like images (Guo and Labate 2007, Easley, Labate and Lim 2008, Kutyniok and Lim 2011), for image inpainting.”
Efficient Analysis of High Dimensional Data in Tensor Formats (2012, methodology): “with representation rank 231 was computed with the use of the stochastic Galerkin library [38].”
Optimal approximation of piecewise smooth functions using deep ReLU neural networks (2017, background): “For instance, shearlets and curvelets provide optimal N -term approximation rates for piecewise C 2 ( R 2 ) functions with C 2 jump curves, [9, 29, 22, 39].”