Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exchangeable and Sampling Consistent Distributions on Rooted Binary
  Trees   We introduce a notion of finite sampling consistency for phylogenetic trees
and show that the set of finitely sampling consistent and exchangeable
distributions on n leaf phylogenetic trees is a polytope. We use this polytope
to show that the set of all exchangeable and infinite sampling consistent
distributions on 4 leaf phylogenetic trees is exactly Aldous' beta-splitting
model and give a description of some of the vertices for the polytope of
distributions on 5 leaves. We also introduce a new semialgebraic set of
exchangeable and sampling consistent models we call the multinomial model and
use it to characterize the set of exchangeable and sampling consistent
distributions.

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The categories of this paper are: adap-org
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: eess
0
The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph