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nnR: Neural Networks Made Algebraic

Build, compose, stack, sum, and realize feed-forward neural networks as algebraic objects. Implements the calculus and constructive approximations described by Rafi, Padgett, and Nakarmi (2024) <doi:10.48550/arXiv.2402.01058>, Grohs, Hornung, Jentzen, et al. (2023) <doi:10.1007/s10444-022-09970-2>, and Jentzen, Kuckuck, and von Wurstemberger (2023) <doi:10.48550/arXiv.2310.20360>. Includes neural network polynomials, transcendental-function approximations, multidimensional maximum convolution, and vectorized batch realization.

Version: 0.2.0
Depends: R (≥ 4.1.0)
Suggests: knitr, rmarkdown, testthat (≥ 3.2.0)
Published: 2026-09-17
DOI: 10.32614/CRAN.package.nnR
Author: Shakil Rafi ORCID iD [aut, cre], Joshua Lee Padgett ORCID iD [aut], Ukash Nakarmi ORCID iD [ctb]
Maintainer: Shakil Rafi <sarafi at uark.edu>
BugReports: https://github.com/2shakilrafi/nnR/issues?q=is%3Aissue+is%3Aopen+sort%3Aupdated-desc
License: GPL-3
URL: https://github.com/2shakilrafi/nnR/
NeedsCompilation: no
Materials: README, NEWS
CRAN checks: nnR results

Documentation:

Reference manual: nnR.html , nnR.pdf
Vignettes: nnR (source, R code)

Downloads:

Package source: nnR_0.2.0.tar.gz
Windows binaries: r-devel: nnR_0.2.0.zip, r-release: nnR_0.2.0.zip, r-oldrel: nnR_0.2.0.zip
macOS binaries: r-release (arm64): nnR_0.2.0.tgz, r-oldrel (arm64): nnR_0.2.0.tgz, r-release (x86_64): nnR_0.2.0.tgz, r-oldrel (x86_64): nnR_0.2.0.tgz
Old sources: nnR archive

Linking:

Please use the canonical form https://CRAN.R-project.org/package=nnR to link to this page.

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.