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RMThreshold: Signal-Noise Separation in Random Matrices by using Eigenvalue Spectrum Analysis

An algorithm which can be used to determine an objective threshold for signal-noise separation in large random matrices (correlation matrices, mutual information matrices, network adjacency matrices) is provided. The package makes use of the results of Random Matrix Theory (RMT). The algorithm increments a suppositional threshold monotonically, thereby recording the eigenvalue spacing distribution of the matrix. According to RMT, that distribution undergoes a characteristic change when the threshold properly separates signal from noise. By using the algorithm, the modular structure of a matrix - or of the corresponding network - can be unraveled.

Version: 1.1
Imports: Matrix, png
Published: 2016-06-23
DOI: 10.32614/CRAN.package.RMThreshold
Author: Uwe Menzel
Maintainer: Uwe Menzel <uwemenzel at gmail.com>
License: GPL-2 | GPL-3 [expanded from: GPL]
NeedsCompilation: no
CRAN checks: RMThreshold results

Documentation:

Reference manual: RMThreshold.pdf

Downloads:

Package source: RMThreshold_1.1.tar.gz
Windows binaries: r-devel: RMThreshold_1.1.zip, r-release: RMThreshold_1.1.zip, r-oldrel: RMThreshold_1.1.zip
macOS binaries: r-release (arm64): RMThreshold_1.1.tgz, r-oldrel (arm64): RMThreshold_1.1.tgz, r-release (x86_64): RMThreshold_1.1.tgz, r-oldrel (x86_64): RMThreshold_1.1.tgz
Old sources: RMThreshold archive

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.