Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing Diverse Sets of Solutions for Monotone Submodular Optimisation
  Problems   Submodular functions allow to model many real-world optimisation problems.
This paper introduces approaches for computing diverse sets of high quality
solutions for submodular optimisation problems. We first present diversifying
greedy sampling approaches and analyse them with respect to the diversity
measured by entropy and the approximation quality of the obtained solutions.
Afterwards, we introduce an evolutionary diversity optimisation approach to
further improve diversity of the set of solutions. We carry out experimental
investigations on popular submodular benchmark functions that show that the
combined approaches achieve high quality solutions of large diversity.

37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci