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• W2032075944 abstract "This article is devoted to nonlinear approximation and estimation via piecewise polynomials built on partitions into dyadic rectangles. The approximation rate is studied over possibly inhomogeneous and anisotropic smoothness classes that contain Besov classes. Highlighting the interest of such a result in statistics, adaptation in the minimax sense to both inhomogeneity and anisotropy of a related multivariate density estimator is proved. Besides, that estimation procedure can be implemented with a computational complexity simply linear in the sample size." @default.
• W2032075944 created "2016-06-24" @default.
• W2032075944 creator A5052765667 @default.
• W2032075944 date "2012-03-01" @default.
• W2032075944 modified "2023-10-14" @default.
• W2032075944 title "Adaptation to anisotropy and inhomogeneity via dyadic piecewise polynomial selection" @default.
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• W2032075944 doi "https://doi.org/10.3103/s1066530712010012" @default.
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