Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A gradual, semi-discrete approach to generative network training via
  explicit Wasserstein minimization   This paper provides a simple procedure to fit generative networks to target
distributions, with the goal of a small Wasserstein distance (or other optimal
transport costs). The approach is based on two principles: (a) if the source
randomness of the network is a continuous distribution (the "semi-discrete"
setting), then the Wasserstein distance is realized by a deterministic optimal
transport mapping; (b) given an optimal transport mapping between a generator
network and a target distribution, the Wasserstein distance may be decreased
via a regression between the generated data and the mapped target points. The
procedure here therefore alternates these two steps, forming an optimal
transport and regressing against it, gradually adjusting the generator network
towards the target distribution. Mathematically, this approach is shown to
minimize the Wasserstein distance to both the empirical target distribution,
and also its underlying population counterpart. Empirically, good performance
is demonstrated on the training and testing sets of the MNIST and Thin-8 data.
The paper closes with a discussion of the unsuitability of the Wasserstein
distance for certain tasks, as has been identified in prior work [Arora et al.,
2017, Huang et al., 2017].

28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex