Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distributed Interval Optimization with Stochastic Zeroth-order Oracle   In this paper, we investigate a distributed interval optimization problem
which is modeled with optimizing a sum of convex interval-valued objective
functions subject to global convex constraints, corresponding to agents over a
time-varying network. We first reformulate the distributed interval
optimization problem as a distributed constrained optimization problem by
scalarization. Then, we design a stochastic zeroth-order algorithm to solve the
reformulated distributed problem, optimal solutions of which are also proved to
be Pareto optimal solutions of the distributed interval optimization problem.
Moreover, we construct the explicit convergence and the convergence rate in
expectation of the given algorithm. Finally, a numerical example is given to
illustrate the effectiveness of the proposed algorithm.

26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin