Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theoretical analysis of edit distance algorithms: an applied perspective   Given its status as a classic problem and its importance to both
theoreticians and practitioners, edit distance provides an excellent lens
through which to understand how the theoretical analysis of algorithms impacts
practical implementations. From an applied perspective, the goals of
theoretical analysis are to predict the empirical performance of an algorithm
and to serve as a yardstick to design novel algorithms that perform well in
practice. In this paper, we systematically survey the types of theoretical
analysis techniques that have been applied to edit distance and evaluate the
extent to which each one has achieved these two goals. These techniques include
traditional worst-case analysis, worst-case analysis parametrized by edit
distance or entropy or compressibility, average-case analysis, semi-random
models, and advice-based models. We find that the track record is mixed. On one
hand, two algorithms widely used in practice have been born out of theoretical
analysis and their empirical performance is captured well by theoretical
predictions. On the other hand, all the algorithms developed using theoretical
analysis as a yardstick since then have not had any practical relevance. We
conclude by discussing the remaining open problems and how they can be tackled.

17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics