Bayesian Wavelet Denoising with Wendland-Semicircle Slab Mixture
Overview
Bayesian wavelet denoising using a resolution-adaptive spike-and-slab prior whose continuous slab is a mixture of a compactly supported Wendland-type density and the semicircle density. The package provides Gaussian and Laplace working-likelihood versions, empirical-Bayes fitting of resolution-specific slab weights, robust noise-scale estimation, posterior-mean coefficient shrinkage, reconstruction by the inverse discrete wavelet transform, and diagnostic tools.
Initial package release accompanying Sanyal (2026), *Axioms*, 15(9), 678.
The release provides the resolution-adaptive Wendland-Semicircle Bayesian
wavelet denoiser, Gaussian and Laplace working-likelihood options, independent
posterior and kernel evaluators, robust noise estimation, shrinkage-curve
inspection, and numerical diagnostics.
From NEWS.md in the release
Install
Health
- OK13 OKNow
- OK5 OK2026-09-23
Documentation
- Help pages
- 8includes a package overview page
- Examples that run
- 43%3 run in a plain check · 4 only when donttest examples are enabled (R CMD check --as-cran)
- Exported functions with examples
- 100%
- Documented parameters
- 96%
- Return-value docs
- 100%
- Help pages citing references
- 100%
Downloads
Repository
2 development-tooling and community-health practices detected across 1 family in the upstream repository
Checks run against github.com/nilotpalsanyal/wswavelet on 2026-10-11.
Dependencies
Installing WSwavelet adds 1 package (1 with compiled code, 567 KB of source tarballs). Heaviest: wavethresh 567 KB.
Code & Tests
People & History
- 0.1.0Latest2026-09-23 · current release
- RR 4.6.0 released · 2026-04-24
Package metadata
- First published
- 2026-09-23
- Total releases
- 1 / 1 yrs
- License
- GPL-2 | GPL-3 OSI
- Minimum R
- ≥ 4.1.0
- Download size
- 1.6 MB
Cite
Cite this package
Run in R for the authors' entry:
citation("WSwavelet")The package provides a citation file, so citation() returns the authors' own entry.
It points to 10.3390/axioms15090678.
Cite the R Observatory
For a number measured here: a download total, a coverage figure, an archival date.
From data release v2026-10-18, which the citation names so these numbers can be found later. More on citing and the projects behind them.