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  "Package": "tamd",
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  "Title": "Transcendental Algorithm for Mixtures of Distributions",
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  "Date": "2026-05-31",
  "Authors@R": "person(\ngiven  = \"Ernest\",\nfamily = \"Fokoue\",\nrole   = c(\"aut\", \"cre\"),\nemail  = \"epfeqa@rit.edu\")",
  "Maintainer": "Ernest Fokoue <epfeqa@rit.edu>",
  "Description": "Implements the Transcendental Algorithm for Mixtures of\nDistributions (TAMD), a penalized likelihood framework for\nfitting finite Gaussian mixture models. TAMD augments the\nExpectation-Maximization (EM) algorithm with analytic barrier\nterms built from the Hellinger affinity that diverge on the\nsingular locus, actively preventing component coalescence and\nweight degeneracy. Provides the core TAMD fitting function,\nclosed-form Hellinger affinity and gradient computations, the\nTranscendental Affinity Criterion (TAC) for geometry-aware\nmodel selection, the regularity index rho (a scalar diagnostic\nfor mixture fit quality), and reproduction scripts for all\nsimulation studies. Methods are described in Fokoue (2024)\n<doi:10.48550/arXiv.2602.03889>. See also Titterington, Smith\nand Makov (1985, ISBN:0-471-90510-4) and Watanabe (2009,\nISBN:978-0-521-86408-7).",
  "License": "GPL-3",
  "Encoding": "UTF-8",
  "NeedsCompilation": "no",
  "Packaged": {
    "Date": "2026-07-04 09:10:31 UTC",
    "User": "root"
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  "Author": "Ernest Fokoue [aut, cre]",
  "Repository": "https://cran.r-universe.dev",
  "Date/Publication": "2026-06-04 14:12:36 UTC",
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    {
      "page": "compute_aic",
      "title": "AIC for Gaussian Mixture Models",
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        "compute_aic"
      ]
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      "page": "compute_bic",
      "title": "BIC for Gaussian Mixture Models",
      "topics": [
        "compute_bic"
      ]
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      "page": "compute_tac",
      "title": "Transcendental Affinity Criterion (TAC)",
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        "compute_tac"
      ]
    },
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      "page": "compute_tic",
      "title": "Transcendental Information Criterion (TIC)",
      "topics": [
        "compute_tic"
      ]
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      "title": "Hellinger Affinity Between Two Gaussian Distributions",
      "topics": [
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      ]
    },
    {
      "page": "hellinger_affinity_matrix",
      "title": "Pairwise Hellinger Affinity Matrix",
      "topics": [
        "hellinger_affinity_matrix"
      ]
    },
    {
      "page": "label_match",
      "title": "Label-Matched Parameter Comparison",
      "topics": [
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      ]
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    {
      "page": "plot.tamd",
      "title": "Plot a tamd Object",
      "topics": [
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      ]
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    {
      "page": "print.tamd",
      "title": "Print a tamd Object",
      "topics": [
        "print.tamd"
      ]
    },
    {
      "page": "regularity_index",
      "title": "Regularity Index (Titterington Theorem)",
      "topics": [
        "regularity_index"
      ]
    },
    {
      "page": "rlct_gaussian",
      "title": "Real Log-Canonical Threshold for Gaussian Mixtures",
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      "title": "Separation Barrier Gradients",
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        "separation_gradient_mean"
      ]
    },
    {
      "page": "simulate_gmm",
      "title": "Simulate Data from a Gaussian Mixture Model",
      "topics": [
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      ]
    },
    {
      "page": "summary.tamd",
      "title": "Summarize a tamd Object",
      "topics": [
        "summary.tamd"
      ]
    },
    {
      "page": "tamd",
      "title": "Fit a Gaussian Mixture Model via TAMD",
      "topics": [
        "tamd"
      ]
    },
    {
      "page": "tamd_select",
      "title": "Automated Model Order Selection via TAC",
      "topics": [
        "tamd_select"
      ]
    }
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