Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gibbs sampling for mixtures in order of appearance: the ordered
  allocation sampler   Gibbs sampling methods for mixture models are based on data augmentation
schemes that account for the unobserved partition in the data. Conditional
samplers are known to suffer from slow mixing in infinite mixtures, where some
form of truncation, either deterministic or random, is required. In mixtures
with random number of components, the exploration of parameter spaces of
different dimensions can also be challenging. We tackle these issues by
expressing the mixture components in the random order of appearance in an
exchangeable sequence directed by the mixing distribution. We derive a sampler
that is straightforward to implement for mixing distributions with tractable
size-biased ordered weights. In infinite mixtures, no form of truncation is
necessary. As for finite mixtures with random dimension, a simple updating of
the number of components is obtained by a blocking argument, thus, easing
challenges found in trans-dimensional moves via Metropolis-Hasting steps.
Additionally, sampling occurs in the space of ordered partitions with blocks
labelled in the least element order. This improves mixing and promotes a
consistent labelling of mixture components throughout iterations. The
performance of the proposed algorithm is evaluated on simulated data.

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The categories of this paper are: physics
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The categories of this paper are: econ
32
The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
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The categories of this paper are: cs
28
The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat