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tamd

Transcendental Algorithm for Mixtures of Distributions

v1.0.2 · Jun 4, 2026 · GPL-3

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).

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Check History

OK 11 OK · 0 NOTE · 0 WARNING · 0 ERROR · 0 FAILURE Jun 8, 2026
ERROR 10 OK · 0 NOTE · 0 WARNING · 1 ERROR · 0 FAILURE Jun 7, 2026
ERROR r-devel-linux-x86_64-debian-gcc

examples

Running massageExamples to create ‘tamd-Ex.R’ failed
Error in file(out, "wt") : cannot open the connection
Calls: <Anonymous> -> Rd2ex -> file
In addition: Warning message:
In file(out, "wt") :
  cannot open file '/tmp/RtmpJ9BmUH/file1ad09b17b36652/regularity_index.R': No space left on device
Execution halted
 NONE
OK 7 OK · 0 NOTE · 0 WARNING · 0 ERROR · 0 FAILURE Jun 5, 2026

Dependency Network

Dependencies Reverse dependencies MASS mvtnorm tamd

Version History

1 tracked
new 1.0.2 Jun 4, 2026