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- W2950232433 abstract "We study the asymptotics in $L^2$ for complexity penalized least squares regression for the discrete approximation of finite-dimensional signals on continuous domains - e.g. images - by piecewise smooth functions. We introduce a fairly general setting which comprises most of the presently popular partitions of signal- or image- domains like interval-, wedgelet- or related partitions, as well as Delaunay triangulations. Then we prove consistency and derive convergence rates. Finally, we illustrate by way of relevant examples that the abstract results are useful for many applications." @default.
- W2950232433 created "2019-06-27" @default.
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- W2950232433 date "2013-01-23" @default.
- W2950232433 modified "2023-09-24" @default.
- W2950232433 title "Complexity $L^0$-penalized M-Estimation: Consistency in More Dimensions" @default.
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- W2950232433 hasPublicationYear "2013" @default.
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