Adaptation to anisotropy and inhomogeneity via dyadic piecewise polynomial selection

DOI10.3103/S1066530712010012zbMath1308.62070arXiv1102.3108OpenAlexW2032075944MaRDI QIDQ2261910

Nathalie Akakpo

Publication date: 13 March 2015

Published in: Mathematical Methods of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.3108

zbMATH Keywords

density estimationnonlinear approximationanisotropic Besov spacesspatial adaptationmultivariate estimation

Mathematics Subject Classification ID

Density estimation (62G07) Estimation in multivariate analysis (62H12) Multidimensional problems (41A63) Spline approximation (41A15)

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Vapnik–Chervonenkis dimension of axis-parallel cuts, Multivariate density estimation under sup-norm loss: oracle approach, adaptation and independence structure, On adaptive minimax density estimation on \(\mathbb R^d\), Adaptive density estimation on bounded domains under mixing conditions, Estimating the conditional density by histogram type estimators and model selection, Estimation of the transition density of a Markov chain, Estimating a regression function in exponential families by model selection, Inhomogeneous and anisotropic conditional density estimation from dependent data, Estimating composite functions by model selection, Oracle inequalities and adaptive estimation in the convolution structure density model, Classification algorithms using adaptive partitioning, Hyperbolic wavelet thresholding methods and the curse of dimensionality through the maxiset approach, Minimax bounds for Besov classes in density estimation, Adaptive estimation over anisotropic functional classes via oracle approach

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