Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: About exchanging expectation and supremum for conditional Wasserstein
  GANs   In cases where a Wasserstein GAN depends on a condition the latter is usually
handled via an expectation within the loss function. Depending on the way this
is motivated, the discriminator is either required to be Lipschitz-1 in both or
in only one of its arguments. For the weaker requirement to become usable one
needs to exchange a supremum and an expectation. This is a mathematically
perilous operation, which is, so far, only partially justified in the
literature. This short mathematical note intends to fill this gap and provides
the mathematical rationale for discriminators that are only partially
Lipschitz-1 for cases where this approach is more appropriate or successful.

8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph