F is a kind of optimal basis for compressing, estimating, and recovering functions in F . Simple thresholding operations, applied in the unconditional basis, work essentially better for compressing, estimating, and recovering than they do in any other orthogonal basis. In fact, simple thresholding in an unconditional basis works essentially better for recovery and estimation than other methods, period.
Unconditional bases are optimal bases for data compression and for statistical estimation.
Doc 290 Image coding using wavelet transforms - Antonini, Barlaud et al. Compression of Wavelet Decompositions - DeVore, Jawerth et al. A simple Wilson orthonormal basis with exponential decay - Daubechies, Jaffard et al. Doc 6 Wilson Bases and Modulation Spaces - Feichtinger, Grochenig et al. The graph only includes citing articles where the year of publication is known.