Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal Top-k Document Retrieval   Let $\mathcal{D}$ be a collection of $D$ documents, which are strings over an
alphabet of size $\sigma$, of total length $n$. We describe a data structure
that uses linear space and and reports $k$ most relevant documents that contain
a query pattern $P$, which is a string of length $p$, in time $O(p/\log_\sigma
n+k)$, which is optimal in the RAM model in the general case where $\lg D =
\Theta(\log n)$, and involves a novel RAM-optimal suffix tree search. Our
construction supports an ample set of important relevance measures... [clip]
  When $\lg D = o(\log n)$, we show how to reduce the space of the data
structure from $O(n\log n)$ to $O(n(\log\sigma+\log D+\log\log n))$ bits...
[clip]
  We also consider the dynamic scenario, where documents can be inserted and
deleted from the collection. We obtain linear space and query time
$O(p(\log\log n)^2/\log_\sigma n+\log n + k\log\log k)$, whereas insertions and
deletions require $O(\log^{1+\epsilon} n)$ time per symbol, for any constant
$\epsilon>0$.
  Finally, we consider an extended static scenario where an extra parameter
$par(P,d)$ is defined, and the query must retrieve only documents $d$ such that
$par(P,d)\in [\tau_1,\tau_2]$, where this range is specified at query time. We
solve these queries using linear space and $O(p/\log_\sigma n +
\log^{1+\epsilon} n + k\log^\epsilon n)$ time, for any constant $\epsilon>0$.
  Our technique is to translate these top-$k$ problems into multidimensional
geometric search problems. As an additional bonus, we describe some
improvements to those problems.

9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex