Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large scale multi-objective optimization: Theoretical and practical
  challenges   Multi-objective optimization (MOO) is a well-studied problem for several
important recommendation problems. While multiple approaches have been
proposed, in this work, we focus on using constrained optimization formulations
(e.g., quadratic and linear programs) to formulate and solve MOO problems. This
approach can be used to pick desired operating points on the trade-off curve
between multiple objectives. It also works well for internet applications which
serve large volumes of online traffic, by working with Lagrangian duality
formulation to connect dual solutions (computed offline) with the primal
solutions (computed online).
  We identify some key limitations of this approach -- namely the inability to
handle user and item level constraints, scalability considerations and variance
of dual estimates introduced by sampling processes. We propose solutions for
each of the problems and demonstrate how through these solutions we
significantly advance the state-of-the-art in this realm. Our proposed methods
can exactly handle user and item (and other such local) constraints, achieve a
$100\times$ scalability boost over existing packages in R and reduce variance
of dual estimates by two orders of magnitude.

6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom