Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distance-based species tree estimation: information-theoretic trade-off
  between number of loci and sequence length under the coalescent   We consider the reconstruction of a phylogeny from multiple genes under the
multispecies coalescent. We establish a connection with the sparse signal
detection problem, where one seeks to distinguish between a distribution and a
mixture of the distribution and a sparse signal. Using this connection, we
derive an information-theoretic trade-off between the number of genes, $m$,
needed for an accurate reconstruction and the sequence length, $k$, of the
genes. Specifically, we show that to detect a branch of length $f$, one needs
$m = \Theta(1/[f^{2} \sqrt{k}])$.

24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org