The role of approximation and smoothness spaces in compression and noise removal

R. DeVore, V. Temlyakov
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Abstract

A brief discussion is given of the role of approximation and smoothness spaces in algorithms for noise removal and compression. The discussion is limited to cases where approximation takes place in a Hilbert space although the theory applies in far greater generality.
逼近和平滑空间在压缩和去噪中的作用
简要讨论了近似空间和平滑空间在噪声去除和压缩算法中的作用。讨论仅限于近似发生在希尔伯特空间的情况,尽管该理论适用于更广泛的情况。
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