Back to search

Adapting to Unknown Smoothness via Wavelet Shrinkage

Data up to Jan 2025

Published1995
Citations4,207
References35

Total Citations Per Year

Abstract

References (35)

A theory for multiresolution signal decomposition: the wavelet representation

1989 • 20,249 citations

Ten lectures on wavelets

1992 • 15,909 citations

Ten Lectures on Wavelets

1992 • 12,641 citations

Robust Locally Weighted Regression and Smoothing Scatterplots

1979 • 10,049 citations

Orthonormal bases of compactly supported wavelets

1988 • 8,138 citations

Multivariate Adaptive Regression Splines

1991 • 7,851 citations

Ideal spatial adaptation by wavelet shrinkage

1994 • 7,603 citations

Theory of Point Estimation

1999 • 4,508 citations

Journal of the Royal Statistical Society.

1923 • 3,533 citations

Theory of function spaces

1983 • 3,085 citations

Theory of Function Spaces

1983 • 3,034 citations

Estimation of the Mean of a Multivariate Normal Distribution

1981 • 2,667 citations

Multifrequency channel decompositions of images and wavelet models

1989 • 1,979 citations

Wavelet Shrinkage: Asymptopia?

1995 • 1,632 citations

Optimal Global Rates of Convergence for Nonparametric Regression

1982 • 1,456 citations

Theory of Function Spaces III

2006 • 1,421 citations

Theory of Point Estimation

1983 • 1,281 citations

Theory of Function Spaces II

1992 • 1,231 citations

Minimax estimation via wavelet shrinkage

1998 • 1,033 citations

Wavelets and Dilation Equations: A Brief Introduction

1989 • 963 citations

Littlewood-Paley Theory and the Study of Function Spaces

1991 • 853 citations

New thoughts on Besov spaces

1976 • 805 citations

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

1995 • 562 citations

Asymptotic equivalence of nonparametric regression and white noise

1996 • 392 citations

Interpolation of Besov spaces

1988 • 276 citations

Minimax risk overl p -balls forl p -error

1994 • 211 citations

Ondelettes sur l'intervalle

1991 • 175 citations

Locally Adaptive Bandwidth Choice for Kernel Regression Estimators

1993 • 159 citations

From Stein's Unbiased Risk Estimates to the Method of Generalized Cross Validation

1985 • 154 citations

Spline Smoothing in Regression Models and Asymptotic Efficiency in $L_2$

1985 • 142 citations

Empirical Functionals and Efficient Smoothing Parameter Selection

1992 • 78 citations

Universal Near Minimaxity of Wavelet Shrinkage

1997 • 45 citations

OPTIMAL GLOBAL RATES OF CONVERGENCE FOR NONPARAMETRIC ESTIMATORS

1982 • 42 citations

A Risk Bound in Sobolev Class Regression

1990 • 36 citations

Deleted Work

1955 • 0 citations

Cited By (0)

Loading...
Adapting to Unknown Smoothness via Wavelet Shrinkage (1995) – Journal of the American Statistical Association | Metascience Observatory Explorer