Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic safety radius on Neighbor-Joining method and Balanced Minimal
  Evolution on small trees   A distance-based method to reconstruct a phylogenetic tree with $n$ leaves
takes a distance matrix, $n \times n$ symmetric matrix with $0$s in the
diagonal, as its input and reconstructs a tree with $n$ leaves using tools in
combinatorics. A safety radius is a radius from a tree metric (a distance
matrix realizing a true tree) within which the input distance matrices must all
lie in order to satisfy a precise combinatorial condition under which the
distance-based method is guaranteed to return a correct tree. A stochastic
safety radius is a safety radius under which the distance-based method is
guaranteed to return a correct tree within a certain probability. In this paper
we investigated stochastic safety radii for the neighbor-joining (NJ) method
and balanced minimal evolution (BME) method for $n = 5$.

25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat