calc_non_I_set {thamesmix}R Documentation

Calculates the set I(G) described in Metodiev et al. (2025) as well as the limit on the complexity of the THAMES associated with it.

Description

Calculates the set I(G) described in Metodiev et al. (2025) as well as the limit on the complexity of the THAMES associated with it.

Usage

calc_non_I_set(scaling, G, sims, c_opt)

Arguments

scaling

list of fit determined via QDA (means and covariances)

G

number of components

sims

n_simul x G x (u+1) array of parameters sampled from the posterior, where n_simul is the number of simulations from the posterior, G is the number of components, u is the number of mixture component parameters (parameter u+1 is the mixture weight)

c_opt

radius of the ellipsoid E from Metodiev et al. (2025)

Value

a named list with the following elements: graph: the overlap graph for G non_I_set: the complement of the set I(G) complexity_limit_estim: an upper bound on the THAMES complexity graphmat: adjacency matrix of the overlap graph for G

References

Martin Metodiev, Nicholas J. Irons, Marie Perrot-Dockès, Pierre Latouche, Adrian E. Raftery. "Easily Computed Marginal Likelihoods for Multivariate Mixture Models Using the THAMES Estimator." arXiv preprint arXiv:2504.21812.


[Package thamesmix version 0.1.3 Index]