Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Parameter identifiability for a profile mixture model of protein
  evolution   A Profile Mixture Model is a model of protein evolution, describing sequence
data in which sites are assumed to follow many related substitution processes
on a single evolutionary tree. The processes depend in part on different amino
acid distributions, or profiles, varying over sites in aligned sequences. A
fundamental question for any stochastic model, which must be answered
positively to justify model-based inference, is whether the parameters are
identifiable from the probability distribution they determine. Here we show
that a Profile Mixture Model has identifiable parameters under circumstances in
which it is likely to be used for empirical analyses. In particular, for a tree
relating 9 or more taxa, both the tree topology and all numerical parameters
are generically identifiable when the number of profiles is less than 74.

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The categories of this paper are: cs
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas