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tamd  

Transcendental Algorithm for Mixtures of Distributions
View on CRAN: Click here


Download and install tamd package within the R console
Install from CRAN:
install.packages("tamd")

Install from Github:
library("remotes")
install_github("cran/tamd")

Install by package version:
library("remotes")
install_version("tamd", "1.0.2")



Attach the package and use:
library("tamd")
Maintained by
Ernest Fokoue
[Scholar Profile | Author Map]
All associated links for this package
First Published: 2026-06-04
Latest Update: 2026-06-04
Description:
Implements the Transcendental Algorithm for Mixtures of Distributions (TAMD), a penalized likelihood framework for fitting finite Gaussian mixture models. TAMD augments the Expectation-Maximization (EM) algorithm with analytic barrier terms built from the Hellinger affinity that diverge on the singular locus, actively preventing component coalescence and weight degeneracy. Provides the core TAMD fitting function, closed-form Hellinger affinity and gradient computations, the Transcendental Affinity Criterion (TAC) for geometry-aware model selection, the regularity index rho (a scalar diagnostic for mixture fit quality), and reproduction scripts for all simulation studies. Methods are described in Fokoue (2024) <doi:10.48550/arXiv.2602.03889>. See also Titterington, Smith and Makov (1985, ISBN:0-471-90510-4) and Watanabe (2009, ISBN:978-0-521-86408-7).
How to cite:
Ernest Fokoue (2026). tamd: Transcendental Algorithm for Mixtures of Distributions. R package version 1.0.2, https://cran.r-project.org/web/packages/tamd. Accessed 13 Sep. 2026.
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