Wavelet Thresholding via A Bayesian Approach
From MaRDI portal
Publication:4214253
DOI10.1111/1467-9868.00151zbMath0910.62031OpenAlexW2140667604WikidataQ105192890 ScholiaQ105192890MaRDI QIDQ4214253
Theofanis Sapatinas, Felix P. Abramovich, Bernhard W. Silverman
Publication date: 22 April 1999
Published in: Journal of the Royal Statistical Society Series B: Statistical Methodology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1111/1467-9868.00151
wavelet transformBesov spacesthresholdingadaptive estimationnonparametric regressionBayes modelanaesthetics
Density estimation (62G07) Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Bayesian problems; characterization of Bayes procedures (62C10)
Related Items
Wavelet shrinkage of a noisy dynamical system with non-linear noise impact, \(\Lambda\)-neighborhood wavelet shrinkage, Bayesian variable selection and estimation for group Lasso, Bayesian change point detection for functional data, Modeling Microarray Data Using a Threshold Mixture Model, Wavelet-based minimal-energy approach to image restoration, An elliptically contoured exponential mixture model for wavelet based image denoising, Posterior Probability Intervals for Wavelet Thresholding, Bayesian nonparametric shrinkage applied to Cepheid star oscillations, Nonlinear estimation over weak Besov spaces and minimax Bayes, Functional Regression for Densely Observed Data With Novel Regularization, Patch-Based Image Restoration Using Expectation Propagation, Bayesian Variable Selection and Regularization for Time–Frequency Surface Estimation, Empirical Bayes approach to wavelet regression using ϵ-contaminated priors, On the estimation of the function and its derivatives in nonparametric regression: a Bayesian testimation approach, Optimal convergence rates of Bayesian wavelet estimation with a novel empirical prior in nonparametric regression model, Thresholding procedure with priors based on Pareto distributions, De-noising option prices with the wavelet method, Adaptive rates of contraction of posterior distributions in Bayesian wavelet regression, Empirical study of wavelet domain image joint statistics and proposition of an efficient correlation map, Signal estimation using wavelet analysis of solution monitoring data for nuclear safeguards, Lévy Adaptive B-spline Regression via Overcomplete Systems, On asymptotically optimal wavelet estimation of trend functions under long-range dependence, Nonlinear wavelet shrinkage estimator of nonparametric regularity regression function via cross-validation with simulation study, Wavelet regression estimation in nonparametric mixed effect models, Unnamed Item, Bayesian clustering of spatial functional data with application to a human mobility study during COVID-19, Hybrid inter- and intra-wavelet scale image restoration., Priors for Bayesian adaptive spline smoothing, Bayesian wavelet analysis using nonlocal priors with an application to fMRI analysis, Rough differential equations driven by signals in Besov spaces, Random tree Besov priors -- towards fractal imaging, Regression in random design and Bayesian warped wavelets estimators, Hierarchical wavelet modelling of environmental sensor data, Wavelets in statistics: A review, A new Bayesian wavelet thresholding estimator of nonparametric regression, IMAGE DE-NOISING USING DOUBLE DENSITY WAVELET TRANSFORM BASED ADAPTIVE THRESHOLDING TECHNIQUE, ACCURATE SIGNAL ESTIMATION NEAR DISCONTINUITIES, Pointwise optimality of Bayesian wavelet estimators, Multiscale Methods for Data on Graphs and Irregular Multidimensional Situations, Discussion: One-step sparse estimates in nonconcave penalized likelihood models: Who cares if it is a white cat or a black cat?, Gaussian Process Based Bayesian Semiparametric Quantitative Trait Loci Interval Mapping, Wavelet Thresholding with Bayesian False Discovery Rate Control, Larger posterior mode wavelet thresholding and applications, Bayesian clustering of functional data using local features, Locally adaptive smoothing with Markov random fields and shrinkage priors, Efficient Bayesian analysis of multiple changepoint models with dependence across segments, Wavelet‐Based Clustering for Mixed‐Effects Functional Models in High Dimension, Adaptive wavelet methods for the stochastic Poisson equation, Cross-validated wavelet shrinkage, A nonparametric regression cross spectrum for multivariate time series, Probability density of the empirical wavelet coefficients of a noisy chaos, Model uncertainty, Real Nonparametric Regression Using Complex Wavelets, Computational Forecasting of Wavelet-converted Monthly Sunspot Numbers, On posterior distribution of Bayesian wavelet thresholding, Multiscale Poisson Data Smoothing, Multiscale sharpening and smoothing in Besov spaces with applications to image enhancement, On Optimality of Bayesian Wavelet Estimators, Frequentist optimality of Bayesian wavelet shrinkage rules for Gaussian and non-Gaussian noise, Stochastic expansions using continuous dictionaries: Lévy adaptive regression kernels, Improved Bayesian image denoising based on wavelets with applications to electron microscopy, Wavelet estimation of a multifractal function, On the construction of stochastic fields with prescribed regularity by wavelet expansions, Simultaneous estimation of deterministic and fractal stochastic components in non-stationary time series, Testing in mixed-effects FANOVA models, Bayesian wavelet shrinkage with beta priors, Wavelet estimation by Bayesian thresholding and model selection, Reconstruction of functions from prescribed proximal points, Automated breast cancer detection and classification using ultrasound images: a survey, Wavelet denoising techniques with applications to experimental geophysical data, Efficient Functional ANOVA Through Wavelet-Domain Markov Groves, Bayesian sigmoid shrinkage with improper variance priors and an application to wavelet denois\-ing, Pointwise Bayesian Credible Intervals for Regularized Linear Wavelet Estimators, A Wavelet- or Lifting-Scheme-Based Imputation Method, Estimation and inference in functional mixed-effects models, Bayesian wavelet estimation of partially linear models, Rejoinder, Bootstrap testing for discontinuities under long-range dependence, MULTIWAVELETS AND APPLICATIONS TO IMAGE DENOISING WITH EFFECTIVE ITERATION METHOD, Bayesian automatic polynomial wavelet regression, Wavelet thresholding for some classes of non–Gaussian noise, Wavelet-based Functional Mixed Models, Functional Clustering by Bayesian Wavelet Methods, Some challenges for statistics, Almost everywhere behavior of general wavelet shrinkage operators, Estimation of nonparametric regression models by wavelets, Entropy-based correlated shrinkage of spatial random processes, Bayesian Optimal Adaptive Estimation Using a Sieve Prior, Wavelet Shrinkage with Double Weibull Prior, Denoising Radiocommunications Signals by Using Iterative Wavelet Shrinkage, Empirical Bayes selection of wavelet thresholds, Bayesian wavelet shrinkage with logistic prior, Empirical Bayes approach to block wavelet function estimation, A Variational Inequality Model for the Construction of Signals from Inconsistent Nonlinear Equations, Asymmetric Prior in Wavelet Shrinkage, On the posterior median estimators of possibly sparse sequences
Uses Software
