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regMMD: Robust Regression and Estimation Through Maximum Mean Discrepancy Minimization

The functions in this package compute robust estimators by minimizing a kernel-based distance known as MMD (Maximum Mean Discrepancy) between the sample and a statistical model. Recent works proved that these estimators enjoy a universal consistency property, and are extremely robust to outliers. Various optimization algorithms are implemented: stochastic gradient is available for most models, but the package also allows gradient descent in a few models for which an exact formula is available for the gradient. In terms of distribution fit, a large number of continuous and discrete distributions are available: Gaussian, exponential, uniform, gamma, Poisson, geometric, etc. In terms of regression, the models available are: linear, logistic, gamma, beta and Poisson. Alquier, P. and Gerber, M. (2024) <doi:10.1093/biomet/asad031> Cherief-Abdellatif, B.-E. and Alquier, P. (2022) <doi:10.3150/21-BEJ1338>.

Version: 0.0.1
Imports: Rdpack (≥ 0.7)
Published: 2024-10-25
DOI: 10.32614/CRAN.package.regMMD
Author: Pierre Alquier ORCID iD [aut, cre], Mathieu Gerber ORCID iD [aut]
Maintainer: Pierre Alquier <pierre.alquier.stat at gmail.com>
License: GPL (≥ 3)
NeedsCompilation: no
CRAN checks: regMMD results

Documentation:

Reference manual: regMMD.pdf

Downloads:

Package source: regMMD_0.0.1.tar.gz
Windows binaries: r-devel: regMMD_0.0.1.zip, r-release: regMMD_0.0.1.zip, r-oldrel: regMMD_0.0.1.zip
macOS binaries: r-release (arm64): regMMD_0.0.1.tgz, r-oldrel (arm64): regMMD_0.0.1.tgz, r-release (x86_64): regMMD_0.0.1.tgz, r-oldrel (x86_64): regMMD_0.0.1.tgz

Linking:

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These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.