Package: tamd
Type: Package
Title: Transcendental Algorithm for Mixtures of Distributions
Version: 1.0.2
Date: 2026-05-31
Authors@R: person(
    given  = "Ernest",
    family = "Fokoue",
    role   = c("aut", "cre"),
    email  = "epfeqa@rit.edu")
Maintainer: Ernest Fokoue <epfeqa@rit.edu>
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).
License: GPL-3
Encoding: UTF-8
Depends: R (>= 4.0.0)
Imports: stats, utils, MASS, mvtnorm
Suggests: testthat (>= 3.0.0)
NeedsCompilation: no
Packaged: 2026-07-04 09:10:31 UTC; root
Author: Ernest Fokoue [aut, cre]
Repository: https://cran.r-universe.dev
Date/Publication: 2026-06-04 14:12:36 UTC
RemoteUrl: https://github.com/cran/tamd
RemoteRef: HEAD
RemoteSha: dd31d14bb577dbfb28320d20f6762174fa99ea91