Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stackelberg GAN: Towards Provable Minimax Equilibrium via
  Multi-Generator Architectures   We study the problem of alleviating the instability issue in the GAN training
procedure via new architecture design. The discrepancy between the minimax and
maximin objective values could serve as a proxy for the difficulties that the
alternating gradient descent encounters in the optimization of GANs. In this
work, we give new results on the benefits of multi-generator architecture of
GANs. We show that the minimax gap shrinks to $\epsilon$ as the number of
generators increases with rate $\widetilde{O}(1/\epsilon)$. This improves over
the best-known result of $\widetilde{O}(1/\epsilon^2)$. At the core of our
techniques is a novel application of Shapley-Folkman lemma to the generic
minimax problem, where in the literature the technique was only known to work
when the objective function is restricted to the Lagrangian function of a
constraint optimization problem. Our proposed Stackelberg GAN performs well
experimentally in both synthetic and real-world datasets, improving Fr\'echet
Inception Distance by $14.61\%$ over the previous multi-generator GANs on the
benchmark datasets.

36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th