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Optimal spatial adaptation to inhomogeneous smoothness: an approach based on kernel estimates with variable bandwidth selectors

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Theory of Function Spaces III

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Theory of Function Spaces

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Theory of Function Spaces II

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Density estimation by kernel and wavelets methods: Optimality of Besov spaces

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Local Bandwidth Selection for Kernel Estimates

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Locally Adaptive Bandwidth Choice for Kernel Regression Estimators

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Hybrid Adaptive Splines

inferredcites →https://doi.org/10.1093/biomet/81.3.425openalex-snapshot

Ideal Spatial Adaptation by Wavelet Shrinkage

inferredcites →https://doi.org/10.1111/1467-9469.00117openalex-snapshot

Local Adaptivity of Kernel Estimates with Plug‐in Local Bandwidth Selectors

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Wavelet Shrinkage: Asymptopia?

inferredcites →https://doi.org/10.1111/j.2517-6161.1995.tb02034.xopenalex-snapshot

Data-Driven Bandwidth Selection in Local Polynomial Fitting: Variable Bandwidth and Spatial Adaptation

inferredcites →https://doi.org/10.1137/1135065openalex-snapshot

On a Problem of Adaptive Estimation in Gaussian White Noise

inferredcites →https://doi.org/10.1201/9781315139470openalex-snapshot

Classification And Regression Trees

inferredcites →https://doi.org/10.1214/aos/1024691081openalex-snapshot

Minimax estimation via wavelet shrinkage

inferredcites →https://doi.org/10.1214/aos/1030741083openalex-snapshot

Optimal pointwise adaptive methods in nonparametric estimation

inferredcites →https://doi.org/10.1214/aos/1032181159openalex-snapshot

Asymptotic equivalence of nonparametric regression and white noise

inferredcites →https://doi.org/10.1214/aos/1032181160openalex-snapshot

Asymptotic equivalence of density estimation and Gaussian white noise

inferredcites →https://doi.org/10.1214/aos/1034276635openalex-snapshot

Locally adaptive regression splines

inferredcites →https://doi.org/10.1214/aos/1176348118openalex-snapshot

Nonparametric Regression Under Qualitative Smoothness Assumptions

inferredcites →https://doi.org/10.1214/aos/1176350260openalex-snapshot

Variable Bandwidth Kernel Estimators of Regression Curves

inferredcites →https://doi.org/10.2307/1270361openalex-snapshot

[Flexible Parsimonious Smoothing and Additive Modeling]: Discussion

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Linear Regression

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Randomized allocation with arm elimination in a bandit problem with covariates

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Minimax theory of estimation of linear functionals of the deconvolution density with or without sparsity

inferred← citeshttps://doi.org/10.1214/17-aihp832openalex-snapshot

Variational multiscale nonparametric regression: Smooth functions

inferred← citeshttps://doi.org/10.1214/17-ejs1287openalex-snapshot

Optimal two-step prediction in regression

inferred← citeshttps://doi.org/10.1214/18-aos1717openalex-snapshot

Bootstrap tuning in Gaussian ordered model selection

inferred← citeshttps://doi.org/10.1214/18-aos1799openalex-snapshot

Adaptive risk bounds in univariate total variation denoising and trend filtering

inferred← citeshttps://doi.org/10.1214/19-ejs1533openalex-snapshot

Spectral clustering in the dynamic stochastic block model

inferred← citeshttps://doi.org/10.1214/19-ejs1582openalex-snapshot

Nonparametric estimation of low rank matrix valued function

inferred← citeshttps://doi.org/10.1214/20-aos2001openalex-snapshot

Frame-constrained total variation regularization for white noise regression

inferred← citeshttps://doi.org/10.1214/20-aos2011openalex-snapshot

Statistical inference in sparse high-dimensional additive models

inferred← citeshttps://doi.org/10.1214/21-aos2084openalex-snapshot

Marginal singularity and the benefits of labels in covariate-shift

inferred← citeshttps://doi.org/10.1214/21-ejs1826openalex-snapshot

Density estimation on an unknown submanifold

inferred← citeshttps://doi.org/10.1214/22-aos2213openalex-snapshot

Nonparametric Bayesian inference for reversible multidimensional diffusions

inferred← citeshttps://doi.org/10.1214/23-aos2341openalex-snapshot

Transfer learning for contextual multi-armed bandits

inferred← citeshttps://doi.org/10.1214/24-aos2440openalex-snapshot

Multivariate trend filtering for lattice data

inferred← citeshttps://doi.org/10.1214/24-ejs2308openalex-snapshot

Model selection and inference for estimation of causal parameters

inferred← citeshttps://doi.org/10.1214/aos/1015345955openalex-snapshot

Sharp Adaptive Estimation of Linear Functionals

inferred← citeshttps://doi.org/10.1214/aos/1015951999openalex-snapshot

Adaptive drift estimation for nonparametric diffusion model

inferred← citeshttps://doi.org/10.1214/aos/1016120374openalex-snapshot

Adaptive confidence interval for pointwise curve estimation

inferred← citeshttps://doi.org/10.1214/aos/1021379858openalex-snapshot

Random rates in anisotropic regression (with a discussion and a rejoinder by the authors)

inferred← citeshttps://doi.org/10.1214/aos/1024691081openalex-snapshot

Minimax estimation via wavelet shrinkage

inferred← citeshttps://doi.org/10.1214/aos/1024691246openalex-snapshot

Estimation of a function with discontinuities via local polynomial fit with an adaptive window choice

inferred← citeshttps://doi.org/10.1214/aos/1024691478openalex-snapshot

Pointwise and sup-norm sharp adaptive estimation of functions on the Sobolev classes

inferred← citeshttps://doi.org/10.1214/aos/1030741083openalex-snapshot

Optimal pointwise adaptive methods in nonparametric estimation

inferred← citeshttps://doi.org/10.1214/aos/1032181163openalex-snapshot

Adaptive hypothesis testing using wavelets

inferred← citeshttps://doi.org/10.1214/aos/1034276635openalex-snapshot

Locally adaptive regression splines

inferred← citeshttps://doi.org/10.1214/aos/1046294457openalex-snapshot

Image denoising: pointwise adaptive approach

inferred← citeshttps://doi.org/10.1214/lnms/1215090065openalex-snapshot

An alternative point of view on Lepski's method

inferred← citeshttps://doi.org/10.1287/ijoc.2020.1021openalex-snapshot

Near-Linear Time Local Polynomial Nonparametric Estimation with Box Kernels

inferred← citeshttps://doi.org/10.1287/opre.2021.2215openalex-snapshot

Smoothness-Adaptive Contextual Bandits

inferred← citeshttps://doi.org/10.1587/transinf.2018edp7013openalex-snapshot

Deblocking Artifact of Satellite Image Based on Adaptive Soft-Threshold Anisotropic Filter Using Wavelet

inferred← citeshttps://doi.org/10.17877/de290r-15378openalex-snapshot

Approximating Data with weighted smoothing Splines

inferred← citeshttps://doi.org/10.18452/16585openalex-snapshot

Adaptive methods for risk calibration

inferred← citeshttps://doi.org/10.18452/17376openalex-snapshot

Resampling-based tuning of ordered model selection

inferred← citeshttps://doi.org/10.18452/4319openalex-snapshot

Pointwise adaptive estimation for quantile regression

inferred← citeshttps://doi.org/10.18452/4366openalex-snapshot

Spatially Adaptive Density Estimation by Localised Haar Projections

inferred← citeshttps://doi.org/10.20347/wias.preprint.1354openalex-snapshot

Confidence sets for the optimal approximating model --- Bridging a gap between adaptive point estimation and confidence regions

inferred← citeshttps://doi.org/10.20347/wias.preprint.787openalex-snapshot

Local likelihood modeling by adaptive weights smoothing

inferred← citeshttps://doi.org/10.20347/wias.preprint.998openalex-snapshot

Spatially adaptive regression estimation: Propagation-separation approach

inferred← citeshttps://doi.org/10.2307/3318449openalex-snapshot

On Pointwise Adaptive Nonparametric Deconvolution

inferred← citeshttps://doi.org/10.2307/3318602openalex-snapshot

On the Problem of Local Adaptive Estimation in Tomography

inferred← citeshttps://doi.org/10.29220/csam.2021.28.3.281openalex-snapshot

Stable activation-based regression with localizing property

inferred← citeshttps://doi.org/10.3103/s1066530713010018openalex-snapshot

Upper functions for positive random functionals. I. General setting and Gaussian random functions

inferred← citeshttps://doi.org/10.3103/s1066530713030022openalex-snapshot

Upper functions for positive random functionals. II. Application to the empirical processes theory, Part 2

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