Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimization Interchange Theorem on Posets   Interchange theorems between minimization and integration are useful in
optimization, especially in optimal control and in stochastic optimization. In
this article, we establish a generalized minimization interchange theorem,
where integration is replaced by a monotone mapping between posets (partially
ordered sets). As an application, we recover, and slightly extend, classical
results from the literature, and we tackle the case of the Choquet integral.
Our result provides insight on the mechanisms behind existing interchange
results.

8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin