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The mixture weights ψ ={ ψ c, c≥1} are modeled according to a "stick breaking" representation [ 17] of a Dirichlet process prior using the following construction.
Moreover, the good performance of the cycle breaking representation paves the way for the investigation of data sets that contain a variety of poorly sampled cyclic structures.
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Each iteration of the MCMC includes numerous updates on global parameters, performed by the master core, whereas compute cores perform several updates of a truncated stick-breaking representation of the Dirichlet process (see Lartillot et al., 2013, for details), and sample the data augmentations.
Working with nucleotide and amino acid level substitution models, we recently developed PhyloBayes-MPI, which, among other speedup strategies, uses message-passing-interface (MPI) and a truncated stick-breaking representation of the Dirichlet process for parallelized updating (Lartillot et al., 2013).
"Does that somehow... break the representation and warranties in the prospectus, and therefore investors can put the whole securitization back, not just on documentation but on loan quality issues?
As are shows like Jerry Springer – the Opera, also produced at the National, or The Book of Mormon in the West End, that both deal in taboo-breaking representations of religion.
We use the stick-breaking representation of the Dirichlet process: P = ∑ h = 1 ∞ ω h δ π h, with π h ∼ P 0, where ω h is the weight of the h th mutation cluster (that is, effectively the proportion of all somatic mutations specific to that cluster) and δ π is a point mass at π.
We use the stick-breaking representation of the Dirichlet process: P = ∑ h = 1 ∞ ω h δ π h, with π h ∼ P 0, where ω h is the weight of the hth mutation cluster (that is, effectively the proportion of all somatic mutations specific to that cluster) and δ π is a point mass at π.
Better representation.
Each English MP's vote could be weighted according to the total number of English voters who backed his party, ensuring proportional representation without breaking the constituency link.
But the most bizarre viral moment came after Alicia Keys's performance, when a montage of US Presidents were shown on screen before Hillary appeared amidst shattered fragments, a literal representation of breaking the glass ceiling by being the first woman nominated for president by a major political party.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com