Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: RTED: A Robust Algorithm for the Tree Edit Distance   We consider the classical tree edit distance between ordered labeled trees,
which is defined as the minimum-cost sequence of node edit operations that
transform one tree into another. The state-of-the-art solutions for the tree
edit distance are not satisfactory. The main competitors in the field either
have optimal worst-case complexity, but the worst case happens frequently, or
they are very efficient for some tree shapes, but degenerate for others. This
leads to unpredictable and often infeasible runtimes. There is no obvious way
to choose between the algorithms. In this paper we present RTED, a robust tree
edit distance algorithm. The asymptotic complexity of RTED is smaller or equal
to the complexity of the best competitors for any input instance, i.e., RTED is
both efficient and worst-case optimal. We introduce the class of LRH
(Left-Right-Heavy) algorithms, which includes RTED and the fastest tree edit
distance algorithms presented in literature. We prove that RTED outperforms all
previously proposed LRH algorithms in terms of runtime complexity. In our
experiments on synthetic and real world data we empirically evaluate our
solution and compare it to the state-of-the-art.

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The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin